Train a take 16 hour to reach chicago from wahington while train b take 20 hour, the ratio

Answers

Answer 1

Train A takes 20 hours to get to Chicago from Washington whereas Train B takes 16 hours, making a 20: 16 ratio between the two trains.

How to estimate the ratio between the two trains?

Given: Time taken by Train A = 16 hours

Time taken by train B = 20 hours

We need to find, the ratios of speeds of trains A and B

The distance exists same (Chicago to Washington) and to finding the speed of train A.

Let the equation be

Speed [tex]$=\frac{\text { Distance }}{\text { time }}$[/tex]

Let the distance between Chicago and Washington be x

Speed [tex]${(\text {train } \mathrm{A})}=\frac{\mathrm{x}}{16} \mathrm{~km} / \mathrm{h}$[/tex]

Hence, speed of train [tex]$A=\frac{x}{16} \mathrm{~km} / \mathrm{h}$[/tex]

To find the speed of train B

Speed [tex]${({train~B})}=\frac{\mathrm{x}}{20} \mathrm{~km} / \mathrm{h}$[/tex]

[tex]$\mathbf{S}_{(\{train~A})}: \mathrm{S}_{(\{train} B)} \\[/tex]

[tex]$& \longrightarrow \frac{\mathrm{x}}{16}: \frac{\mathrm{x}}{20} \\[/tex]

= 20 : 16

Therefore, the ratio of train A and train B be 20 : 16.

The complete question is:

Train a take 16 hour to reach Chicago from Washington while train b take 20 hour, the ratio of the speed of both the train.

To learn more about ratios refer to:

brainly.com/question/12024093

#SPJ4


Related Questions

In a class of 10 , there are 5 students who play soccer. If the teacher chooses 2 students, what is the probability that both of them play soccer?

Answers

The probability of choosing 2 students who both play soccer from a class of 10 students, where 5 students play soccer, is 5/6 or 0.83.

The probability of choosing 2 students who both play soccer from a class of 10 students, where 5 students play soccer, can be calculated using the formula for combinations:

[tex]C(5,2) =\frac{5!}{(2! * (5-2)!)}[/tex]

           [tex]= \frac{10}{(2 * 3!)} \\ \\=\frac{10}{(2 * 6) } \\\\= \frac{5}{6}[/tex]

So, the probability of choosing 2 students who both play soccer is 5/6 or 0.83.

This means that if the teacher randomly selects 2 students from the class, there is an 83% chance that both of them play soccer.

In conclusion, the probability of choosing 2 students who both play soccer from a class of 10 students, where 5 students play soccer, is 5/6 or 0.83.

Learn more about combinations :

https://brainly.com/question/13387529

#SPJ4

Please help!


Kyle deposited $7,000 at the end of every six months for 5 years into a 401(k). Given an interest rate of 12% compounded semiannually, find the future value.

A. $92,265. 53

B $97,801. 48

C. $44,469. 95

D. $64,521. 06



Jodie decides to wait until age 70 to begin receiving Social Security benefits. Find the present value of her estimated $31,000 per year in payment assuming 8% per year and payment until her 90th birthday.


A $350,623. 10

B. $310,520. 80

C. $304,362. 65

D. $294,544. 50



Wilma saves $12,000 at the end of every six months for 10 years. Assume 10% compounded semiannually and find the present value.

A. $137,547. 52

B. $149,546. 52

C. $73,734. 84

D. $195,589. 79

Answers

(a) The future value is $18,971.06, which is closest to option D) $64,521.06

(b) So the present value of the estimated payments is $317,375, which is closest to option A) $350,623.10

(c) The present value of the savings is $25,620.51, which is closest to option C) $73,734.84

A) The future value of the deposits can be calculated using the formula for compound interest:

FV = PV * (1 + r/n)^(nt)

where

PV = $7,000

r = 12% = 0.12

n = 2 (compounded semiannually)

t = 5 years = 10 semiannual periods

Plugging in these values, we get:

FV = $7,000 * (1 + 0.12/2)^(2 * 10)

FV = $7,000 * (1.06)^20

FV = $7,000 * 2.667532622

FV = $18,971.06

B) The present value of the estimated payments can be calculated using the formula for the present value of an annuity:

PV = PMT * (1 - (1 + r)^(-n)) / r

where

PMT = $31,000

r = 8% = 0.08

n = 20 payments (from age 70 to 90)

Plugging in these values, we get:

PV = $31,000 * (1 - (1 + 0.08)^(-20)) / 0.08

PV = $31,000 * (1 - 0.170811153) / 0.08

PV = $31,000 * 0.83 / 0.08

PV = $31,000 * 10.375

PV = $317,375

C) The present value of the savings can be calculated using the formula for present value of a lump sum:

PV = FV / (1 + r/n)^(nt)

where

FV = $12,000 * 10 (total savings)

r = 10% = 0.1

n = 2 (compounded semiannually)

t = 10 years = 20 semiannual periods

Plugging in these values, we get:

PV = ($12,000 * 10) / (1 + 0.1/2)^(2 * 20)

PV = ($120,000) / (1.05)^40

PV = $120,000 / 4.68

PV = $25,620.51

For more questions on Compound Interest

https://brainly.com/question/2455673

#SPJ4

each of three people toss a coin. what is the probability of someone being the odd man out? this means that two of them obtain an identical outcome, while the odd man gets a different one.

Answers

The probability of someone being the odd man out is 0.667

What is Probability?

Probability is an area of mathematics that deals with numerical descriptions of how probable an event is to occur or how likely a statement is to be true. The probability of an event is a number between 0 and 1, where 0 denotes the event's impossibility and 1 represents certainty.

Given,

3 persons toss a coin to decide who will buy refreshments for the group.

So, total no. of outcomes = (outcomes per each person) total persons

Total no. of outcomes = [tex]2^{3}[/tex]

Total no. of outcomes = 9

The outcomes that one person gets tails and others do not are = (THHH) + (HTHH) + (HHTH)+ (HHHT).

Here T = person getting tails, H = person getting heads.

Number of times one individual receives tails while another does not = 4.

Now, we try to calculate the number of outcomes for one person getting heads and others getting tails, and the results are as follows:

The chances of one individual getting tails while others do not = (HTTT) + (THTT) + (TTHT)+ (TTTH).

The number of possibilities that one individual gets heads while others do not = 3

So, total no. of possibilities that we get a loser = 3+3

Total no. of possibilities that we get a loss = 6.

We know that probability is defined as probability= total no. of possibilities / total no. of outcomes

Now, we have a probability that there is a loser in any game.

So, required probability = 6/9

Required probability = 0.667

∴ The required probability is 0.667

To learn more about probability visit:

brainly.com/question/30034780

#SPJ4

The probability of someone being the odd man out is 0.667

What is Probability?

Probability is an area of mathematics that deals with numerical descriptions of how probable an event is to occur or how likely a statement is to be true. The probability of an event is a number between 0 and 1, where 0 denotes the event's impossibility and 1 represents certainty.

Given,

3 people toss a coin to decide who will buy refreshments for the group.

So, total no. of outcomes = (outcomes per each person) total persons

Total no. of outcomes = 2*2*2

Total no. of outcomes = 8

The outcomes that one person gets tails and others do not are = (THHH) + (HTHH) + (HHTH)+ (HHHT).

Here T = person getting tails, H = person getting heads.

The number of times one individual receives tails while another does not = 4.

Now, we try to calculate the number of outcomes for one person getting heads and others getting tails, and the results are as follows:

The chances of one individual getting tails while others do not = (HTTT) + (THTT) + (TTHT)+ (TTTH).

The number of possibilities that one individual gets heads while others do not = 3

So, the total no. of possibilities that we get a loser = 3+3

Total no. of possibilities that we get a loss = 6.

We know that probability is defined as probability= total no. of possibilities / total no. of outcomes

Now, we have a probability that there is a loser in any game.

So, required probability = 6/9

Required probability = 0.667

∴ The required probability is 0.667

To learn more about probability visit:

brainly.com/question/30034780

#SPJ4

suppose that limx→3f(x)=12 and limx→3g(x)=−7. find the following limits. a.limx→3[f(x)g(x)] b. limx→3[3f(x)g(x)] c. limx→3[f(x) 8g(x)] d. limx→3

Answers

expression by 8 in the third case, giving us 12*(-7)*8 = -672. Finally, we divide the expression by g(x) to find the fourth limit, giving us 12/(-7) = -1.714.

a. limx→3[f(x)g(x)] = limx→3[12*(-7)] = -84

b. limx→3[3f(x)g(x)] = limx→3[3*12*(-7)] = -252

c. limx→3[f(x) 8g(x)] = limx→3[12*(-7)*8] = -672

d. limx→3[f(x)/g(x)] = limx→3[12/(-7)] = -1.714

The given limits are limx→3f(x)=12 and limx→3g(x)=−7. We can calculate the following limits by substituting x=3 in the given expressions: limx→3[f(x)g(x)] = -84, limx→3[3f(x)g(x)] = -252, limx→3[f(x) 8g(x)] = -672 and limx→3[f(x)/g(x)] = -1.714. To find these limits, we first multiply the two expressions, f(x) and g(x). This gives us 12*(-7) = -84 in the first case. In the second case, we multiply this expression by 3, giving us 3*12*(-7) = -252. We then multiply this expression by 8 in the third case, giving us 12*(-7)*8 = -672. Finally, we divide the expression by g(x) to find the fourth limit, giving us 12/(-7) = -1.714.

Learn more about expression here

https://brainly.com/question/14083225

#SPJ4

Julia had a bag filled with gumballs. There were 1 lemon-lime, 2 watermelon, and 3 grape gumballs. What is the correct sample space for the gumballs in her bag?

Sample space = 1, 2, 3
Sample space = 1, 2, 3, 4, 5, 6
Sample space = lemon-lime, watermelon, grape
Sample space = lemon-lime, watermelon, watermelon, grape, grape, grape

Answers

the correct sample space for the gumball in her bag is option (D) Sample space = lemon-lime, lemon-lime, watermelon, watermelon, watermelon, grape, grape, grape, grape, grape

What is sample space?

The sample space S of a random experiment is defined as the set of all possible outcomes of an experiment. In a random experiment, the outcomes, also known as sample points, are mutually exclusive

Given, Julia had a bag filled with gumballs. There were 1 lemon-lime, 2 watermelon, and 3 grape gumballs.

The number of lemon limes in the bag = 2 lemon-lime

Number of watermelons in the bag = 3 watermelon

Number of grape gumballs in the bag = 5 grape gumball

Sample space is the set of all the possible outcomes of the experiment

Here there are 2 lemon-lime, 3 watermelons, and 5 grape gumball

Hence, if Julia had a bag filled with gumballs and there were 2 lemon-lime, 3 watermelon, and 5 grape gumballs, then the correct sample space for the gumball in her bag is an option (D) Sample space = lemon-lime, lemon-lime, watermelon, watermelon, watermelon, grape, grape, grape, grape, grape

Learn more about sample space here:

https://brainly.com/question/30206035

#SPJ1

watermelon,lemon lime,lemon lime,grape,grape,grape

At a local high school, the 40% of the students drink soda regularly, 30% drink coffee regularly, and 10% drink both regularly. If a student was randomly selected from this school, what is the probability that the student drinks soda if we know the student drinks coffee regularly?.

Answers

The probability that the student drinks soda, given that they drink coffee, is 0.25.

Let's designate the proportion of students who regularly consume soda as "S," those who frequently consume coffee as "C," and those who regularly consume both as "B."

Since 40% of students frequently consume soda, there are 0.4S kids who do the same.

Additionally, there are 0.3S students who consume coffee because 30% of students do it frequently.

Additionally, since 10% of students consume both beverages, there are 0.1S students who also consume soda and coffee.

Students in the class S = 0.4S + 0.1S = 0.5S either drink soda or both.

The pupils in C = 0.3S + 0.1S = 0.4S either consume coffee or both.

So, given that the student drinks coffee, the probability of drinking soda is:

P(soda | coffee) = P(soda and coffee) / P(coffee)

                          = 0.1S / 0.4S

                          = 0.25.

To know more about probability refer to:

brainly.com/question/25839839

#SPJ4

1. Let X = {a} and Y = {a,b}, do the following. (8 points, 4 each) (a). Use the set-roster notation to write set (XXX) XY. (b). Find two functions and two non-function relations from X x Y to Y.

Answers

Two non-functions could be (a,a) -> a and (a,b) -> a and (a,a) -> b and (a,b) -> b, meaning that both inputs can result in either a or b.

A set is a collection of distinct objects, which can be anything, such as numbers, letters, or even other sets.

The set-roster notation is a way to write a set by listing its elements inside curly brackets {}.

(a) To write the set (XXX) XY, we need to repeat the set X three times, which would be X = {a,a,a}.

Then we can join it with the set Y to form (XXX) XY = {a,a,a,a,b}.

(b) To find two functions and two non-function relations from X x Y to Y, we need to understand what a function and a relation are. A function is for every element in the domain (X x Y), there is exactly one corresponding element in the codomain (Y) where as a non-function, or a relation, is a set of ordered pairs where the same input can have different outputs.

To know more about function here.

https://brainly.com/question/28193995

#SPJ4


1. The set of ordered pairs (1, 7), (3, 8), (3, 6), (6, 5), (2, 11), (1, 4)
represents a relation.

Answers

Answer:

Yes, the set of ordered pairs (1, 7), (3, 8), (3, 6), (6, 5), (2, 11), (1, 4) represents a relation. This relation is a function since each input (x-value) has a single output (y-value).

Step-by-step explanation:

If f(x) = {x and g(x)=x? - 8, simplify the expressions (fog)(4), (f of)(8), (gof)(x), and (fog)(x). (fog)(4)=0 (f of)(8)= (gof)(x)= (fog)(x) = 0

Answers

For given functions, f(g(4)) = 2, f(f(8)) = ∛2 and f(g(x)) = ∛ ( x² - 8 ).

Describe a function.

A relation between a collection of inputs and outputs is known as a function. A function is, to put it simply, a relationship between inputs in which each input is connected to precisely one output. Each function has a range and a co-domain. The usual way to refer to a function is as f(x), where x is the input. A function is typically represented as y = f. (x).

In math, various function types exist. Among the crucial kinds are:

When there is a mapping for a range for each domain between two sets, this is known as an injective function or one to one function.

When more than one element is mapped from domain to range, the function is said to be surjective or to be an onto function.

a polynomial function is a function made by of polynomials

Now,

For functions f(x) = ∛ x and g(x) = x²-8

f(g(x)) = ∛ (x²-8)

f(f(x)) = ∛ ∛ x

g(f(x)) = ( ∛ x ) ² - 8

Therefore,

f(g(4))=∛4²-8= ∛16 - 8

= ∛8 = 2

f(f(8)) = ∛ ∛ 8 = ∛2

To know more about functions visit the link

brainly.com/question/12431044?referrer=searchResults

#SPJ4

Right function are

f(x)=∛x and g(x)=x^2-8

You have a credit card that has a balance of $3,589.90 and has a credit limit of $5,000. How much is the balance over the acceptable debt ratio percentage?

Answers

Answer: You have a credit card that has a balance of $3,589.90 and a credit limit of $5,000. How much is the balance over the acceptable debt ratio percentage? $981.88.

Step-by-step explanation:

Answer:

Step-by-step explanation:

the acceptable debt rate would be 43%

Multi-Step Equation!!

Can someone please explain how to get this step by step?

Answers

Answer:

[tex]\boxed{\mbox \large a = \dfrac{9}{10} = 0.9}[/tex]

Step-by-step explanation:

Equation to be solved is
[tex]\dfrac{5}{3}a + \dfrac{4}{5} = a + \dfrac{7}{5}[/tex]

Step 1

Get rid of those annoying denominators by multiplying throughout 15. We choose 15 because it is the lowest common multiple of 3 and 5. Since 3 and  are prime numbers the LCM is 3 x 5 = 15

[tex]15 \cdot \dfrac{5}{3}a +15 \cdot \dfrac{4}{5} = 15\cdot a + 15\cdot \dfrac{7}{5}}[/tex]
==> [tex]25a + 12 = 15a + 21}\\[/tex]

Step 2

Subtract 15 from both sides:

==> [tex]25a -15a + 12 = 15a -15a + 21}\\\\\\ 10a + 12 = 21}\\[/tex]

Step 3

Subtract 21 from both sides
[tex]10a + 12 -12 = 21 - 12\\\\[/tex]

[tex]10a = 9[/tex]

Step 4

Divide by 10 both sides

[tex]\dfrac{10a}{10} = \dfrac{9}{10}\\\\\implies a = \dfrac{9}{10} = 0.9[/tex]

A rare disease exists with which only 1 in 500 is affected. A test for the disease exists, but of course it is not infallible. A correct positive result (patient actually has the disease) occurs 95% of the time, while a false positive result (patient does not have the disease) occurs 1% of the time. If a randomly selected individual is tested and the result is positive, what is the probability that the individual has the disease?

Answers

Answer:

The probability that the individual has the disease is 1/500

Step-by-step explanation:

i found the fraction of 1 in 500 which is 1/500, hope this helps :)

7y+10x−8=0
2y−5x−18=0

Answers

Step-by-step explanation:

The system of linear equations can be solved using elimination method or substitution method.

Here's the solution using elimination method:

Add the two equations to eliminate the y variable:

(7y + 10x - 8) + (2y - 5x - 18) = 0 + 0

9y + 5x - 26 = 0

Solve for y:

9y = 26 - 5x

y = (26 - 5x) / 9

Substitute this expression back into either of the original equations to solve for x:

7y + 10x - 8 = 0

7((26 - 5x) / 9) + 10x - 8 = 0

26 - 5x + 70x - 56 = 0

65x - 32 = 0

Solve for x:

65x = 32

x = 32/65

Finally, substitute the value of x back into the expression for y to find the value of y:

y = (26 - 5x) / 9

y = (26 - 5(32/65)) / 9

y = (26 - 160/65) / 9

y = (26 - 8/3) / 9

y = (26 - 8/3) / 9

y = (26 - 8/3) / 9

y = 18/9 - 8/3

y = (18 - 24) / 9

y = -6/9

The solution to the system of linear equations is:

x = 32/65

y = -6/9

An audio treaming ervice ubcriber pay $16. 99 per month for unlimited muic and podcat treaming. The ubcriber pay for the ervice uing a credit card with a 27. 999 APR. If the balance i paid off after one month of interet charge, how much more will have been paid intead of uing cah? • $0. 40 O $0. 26 O $1. 27 O $4. 75

Answers

The subscriber will pay $0.40 more if they pay using a credit card with a 27.999 APR instead of using cash.

Credit Card Monthly Cost Difference

Here are the steps to calculate the amount paid more when paying using a credit card instead of cash:

Calculate the monthly interest:

Take the annual percentage rate (APR) of 27.999 and divide it by 12 to get the monthly interest rate.

Multiply the monthly interest rate by the balance ($16.99) to get the monthly interest charge.

Calculate the total amount paid after one month:

Add the monthly interest charge to the balance ($16.99).

This gives you the total amount paid after one month of interest charges.

Calculate the difference between the total amount paid and the original balance:

Subtract the original balance ($16.99) from the total amount paid after one month of interest charges.

This gives you the amount paid more due to the interest charges.

The final answer would be the amount paid more, which is $0.40 in this case.

Learn more about Credit Card Monthly Cost Difference here:

https://brainly.com/question/11962613

#SPJ4

Factor out the greatest common factor from the terms of the polynomial 8x4 − 12x3 + 16x.

A. 4x3(2x − 3) + 18
B. 4x(2x3 − 3x2 + 4)
C. The expression is already fully factored.
D. 8x4 − 4x(3x2 + 4)

Answers

The greatest common factor from the terms of the polynomial 8x4 − 12x3 + 16x is 4x(2x3 − 3x2 + 4). Option B

What are algebraic expressions?

Algebraic expressions are described as mathematical expressions that are comprised of terms, variables, coefficients, factors and constants.

These algebraic expressions are also composed of mathematical or arithmetic operations, such as;

SubtractionFloor divisionMultiplicationAdditionDivisionBracketParentheses

From the information given, we have that;

8x⁴ − 12x³ + 16x

Factor the common terms

4x(2x³ - 3x² + 8)

Hence, the expression is 4x(2x³ - 3x² + 8)

Learn more about algebraic expressions on:

https://brainly.com/question/4344214

#SPJ1

Alyssa just accepted a job at a new company where she will make an annual salary of $68000. Alyssa was told that for each year she stays with the company, she will be given a salary raise of $2000. How much would Alyssa make as a salary after 9 years working for the company? What would be her salary after
t
t years?

Answers

a) Using the linear equation 68000 + 2000t, Alyssa would make a salary of $86,000 after 9 years of working for the company.

b) Based on the same linear equation, Alyssa's salary after t years would be 68000 + 2000t.

What is a linear equation?

A linear equation is a mathematical equation written in the form of y=mx+b.

Linear equations involve a constant and a first-order (linear) term, where m is the slope and b is the y-intercept.

The offered annual salary of Alyssa = $68,000

Annual salary raise = $2,000

The number of years Alyssa would work for the company = t years

The number of years Alyssa worked in the company = 9 years

Equation:

68000 + 2000t

68000 + 2000(9)

68000 + 18000

= 86,000

= $86,000

Learn more about linear equations at https://brainly.com/question/28732353

#SPJ1

explain why s is not a basis for r2. s = {(−5, 7)}

Answers

s = {(-5, 7)} cannot be a basis for R^2 because it does not satisfy the three requirements of a basis: having at least two linearly independent vectors, containing only linearly independent vectors, and spanning the entire vector space.

The set s = {(-5, 7)} is not a basis for R^2 (the two-dimensional real vector space) for several reasons:

Cardinality: A basis for a vector space must contain at least two linearly independent vectors. Since s contains only one vector, it cannot be a basis for R^2, which has dimension 2.

Linear independence: A basis must contain linearly independent vectors. If a vector in the basis can be written as a linear combination of the other basis vectors, it is not linearly independent, and the set cannot be a basis.

Spanning: A basis must span the entire vector space, meaning that every vector in the vector space can be written as a linear combination of the basis vectors. The set s = {(-5, 7)} does not span R^2 because it contains only one vector, and not every vector in R^2 can be written as a scalar multiple of this vector.

Therefore, s = {(-5, 7)} cannot be a basis for R^2 because it does not satisfy the three requirements of a basis: having at least two linearly independent vectors, containing only linearly independent vectors, and spanning the entire vector space.

To learn more about vectors,

Visit; brainly.com/question/29740341

#SPJ4

sarah is a marine biologist. of the coral she observes at a dive site, 30% is healthy, 40% is unhealthy, and 30% is dead. she estimates that 30% of the dead coral died in the past 12 months. what percentage of the coral that she observes is dead coral that died more than 12 months ago?

Answers

The percentage of the corals at the dive site that Sarah observes died more than 12 months ago is 21%.

What is a percentage?

A percentage is a specification of the quantity of an item in a collection per 100 of all items in the  collection.

The observations of the corals are;

The percentage of the corals that are healthy = 30%

Percentage of the corals that are unhealthy = 40%

Percentage of the corals that are dead = 30%

Percentage of the dead corals that died in the past 12 months = 30%

The percentage of corals Sarah observed died more than 12 months ago; required.

The 30% of the dead corals that died in the last 12 months, indicatesa that the percentage of the dead corals that died more than 12 months ago = 100% - 30% = 70%

The percentage of the dead corals that died more than 12 months ago = 70%

Therefore, the percentage of the population of corals at the dive site that died more than 12 months ago = 70% × 30% = 21%

Learn more on percentages here: https://brainly.com/question/11642822

#SPJ1

What is the volume of a triangular pyramid?

Answers

Answer:

1/2 Bh

Step-by-step explanation:

find the area of the base (B) by multiplying.5 xlengthxwidth. The take this answer, multiply by .5 and the height of the pyramid.

The volume of a  triangular pyramid is 1/2 × area of the base× height.

What is a triangular pyramid?

A pyramid with a triangular base is referred to as a triangular pyramid. Vertices are essentially corners in geometry. Both regular and irregular triangular-based pyramids have four vertices. Pyramids with triangular bases have six edges, three of which run along the base and three of which rise above the base.

The volume of an object has defined as the space that is occupied by the object.

The volume of a triangular pyramid is 1/2 × B × h.

B =  area of the base of the triangular pyramid.

h = Height of  triangular pyramid

To learn more about volume, click on the below link:

https://brainly.com/question/29298098

#SPJ4

How many feet? Plsss help

Answers

The length of the fabric is 15cm.

What is Pythagoras' theorem?

A right triangle's three sides are related in Euclidean geometry by the Pythagorean theorem, also known as Pythagoras' theorem. According to this statement, the areas of the squares on the other two sides add up to the size of the square whose side is the hypotenuse.

Here, we have

Given: Elijah takes a rectangular piece of fabric and makes a diagonal cut from one corner to the opposite corner. The cut he makes is 17 inches long and the width of the fabric is 8 inches.

We have to find the fabric's length.

We apply here Pythagoras theorem and we get

a² + b² = c²

a² +  (8)² = (17)²

a² +64 = 289

a²  = 289 - 64

a²  = 225

a = 15

Hence, the length of the fabric is 15cm.

To learn more about Pythagoras' theorem from the given link

https://brainly.com/question/343682

#SPJ1

What is 30 degrees Celsius in Fahrenheit?

Answers

Psure It’s 86 Fahrenheit

30 degrees Celsius in Fahrenheit is 86

What is 30 degrees Celsius in Fahrenheit?

30 degrees Celsius to Fahrenheit30 degrees Celsius are equal to 86 degrees Fahrenheit:

      30ºC = 86ºF

30 degrees Celsius to Fahrenheit

calulation:

 The temperature T in degrees Fahrenheit (ºF) is equal to 30 degrees Celsius (ºC) times 9/5 plus 32:

           T(ºF) = 30ºC × 9/5 + 32 = 86ºF

To learn more about 30°Celsius refers to:

https://brainly.com/question/2465957

#SPJ4

4.Chloe and Tino have a combined age of 48. Three years ago Chloe was double the age Tino. Work out the age of Chloe and Tino.​

Answers

Chloe is 31 years old while Tino is 17 years old.

What is an equation?

An equation is an expression that uses mathematical operations to show the relationship between numbers and variables. Types of equations are linear, quadratic, cubic and so on.

Let x represent Chloe present age and y represent Tino present age. Chloe and Tino have a combined age of 48. Hence:

x + y = 48     (1)

Also, Three years ago Chloe was double the age Tino, hence:

x - 3 = 2(y - 3)

x - 2y = -3    (2)

From both equations:

x = 31, y = 17

Chloe is 31 years old.

Find out more on equation at: https://brainly.com/question/2972832

#SPJ1

What is the linear function equation that best fits the data set? 15 14 13 + 12 + 11 + 10 9 ŷ = -x +9 o ŷ = 3x + 15 ŷ = -3x + 15 ŷ= - 4/3x + 10 8 7+ 6. 5+ 4+ 3 2 1 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15​

Answers

The equation ŷ = -3x + 15 best fits the given data sets.

The word linear function in mathematics refers to two separate but related concepts: A linear function in calculus and related fields is a function whose graph is a straight line, that is, a polynomial function of degree zero or one.

The linear function equation that best fits the data set is likely to be the one that minimizes the differences (or residuals) between the observed y-values (the data points) and the predicted y-values (calculated from the equation).

To find this equation, you can use the method of least squares, which involves finding the line that minimizes the sum of the squared residuals.

In this case, the equation ŷ = -3x + 15 minimizes the sum of the squared residuals and is therefore the best fit for the data set.

For more questions on linear function

https://brainly.com/question/4025726

#SPJ4

The ratio of orange to green in a bag of colored marble i 6:1. Which tatement mut be true about thi bag of marble

Answers

There are six orange marbles for every one green marble in the bag.

How many days will it take for 125 people to contract the virus?

Step 1: Understand the question.

The question asks us to determine which statement must be true about a bag of colored marbles with a ratio of orange to green marbles of 6:1.

Step 2: Determine the ratio of orange to green marbles.

The ratio of orange to green marbles is 6:1, which means that for every one green marble, there are six orange marbles.

Step 3: Determine the statement that must be true.

Therefore, the statement that must be true about this bag of marbles is that there are six orange marbles for every one green marble in the bag.

To learn more ratio  refer :

https://brainly.com/question/13419413

#SPJ4

How do you solve a graph step by step?

Answers

To solve a series of linear equations by graphing them:

1. Visualize the initial equation.

2. Using the same rectangular coordinate system, graph the second equation.

What is a graph?

In mathematics, a graph is a visual representation or diagram that shows facts or values in an ordered way.

The relationships between two or more items are frequently represented by the points on a graph.

To develop a graph is to make a diagram that depicts the relationship between two or more objects.

Make a sequence of bars on graph paper as an example of a graph. YourDictionary, to express or give the form of using a graph.

To graph a set of linear equations and solve them:

1. Visualize the initial equation.

2. Using the same rectangular coordinate system, graph the second equation.

3. Establish if the lines are parallel, intersect, or are one and the same.

4. Determine the system's remedy. Find the intersection if the lines do indeed meet.

Therefore, to solve a series of linear equations by graphing them:

1. Visualize the initial equation.

2. Using the same rectangular coordinate system, graph the second equation.

Know more about the graph here:

https://brainly.com/question/19040584

#SPJ4

An office opens at 9 a.m. and closes at 5 p.m. with a lunch interval of 30 minutes. What is the ratio of lunch interval to the total period in office?

Answers

The ratio is 1:16 or (30 minutes:480 minutes).

What is the ratio of lunch interval to the total period in office?

The theory used in this question is the ratio of two numbers.

A ratio is a comparison of two numbers, usually expressed as a fraction or as a decimal. Ratios can be used to compare two numbers and identify relationships between them.

In this case, the ratio is being used to compare the lunch interval (30 minutes) to the total time the office is open (450 minutes).

Given:

The total time the office is open in minutes: 9 am - 5 pm = 8 hours = 8 x 60 minutes = 480 minutes.

Divide the lunch interval (30 minutes) by the total time the office is open (450 minutes): 30 minutes / 480 minutes.

= 1: 16

To learn more about ratio of two numbers visit:

brainly.com/question/30463777

#SPJ4

(after 2.2) find all values z1 and z2 such that (2, −1, 3), (1, 2, 2), and (−4, z1, z2) do not span r 3 .

Answers

The values of z1 and z2 that will satisfy this equation are z1 = −8 and z2 = 6 and the vectors (2, −1, 3), (1, 2, 2), and (−4, −8, 6) do not span R3.

To find these values, we need to understand that for any three vectors to span R3, they must be linearly independent.

This means that none of the vectors can be expressed as a linear combination of the other two vectors.

We can start by finding the determinant of the matrix formed by the three vectors. If the determinant is not equal to 0, then the vectors are linearly independent and span R3.

However, if the determinant is equal to 0, then the vectors are linearly dependent and do not span R3.

Let's consider the matrix formed by the three vectors:

[tex]= > \begin{bmatrix}2 & 1 & -4 \\-1 & 2 & z1 \\3 & 2 & z2\end{bmatrix}[/tex]

The determinant of this matrix is equal to:

=> 2 * (2 * z2 - 2 * z1) - (-1) * (1 * z2 - 2 * -4) + 3 * (1 * z1 - 2 * -4)

=> 2z2 - 2z1 + 7z1 + 24 - 2z2 + 8z1 - 24

=> 9z1 + 2z2 - 24

So, the vectors will not span R3 if 9z1 + 2z2 - 24 = 0.

To know more about matrix here.

https://brainly.com/question/28180105

#SPJ4

work out the size of angle x

Answers

It would be 10 degrees

Given the lines shown here what are two possible equation for this system of equations?

Answers

y=x+1 and y=x-5 are the equations of the lines in the given graph.

What is Slope of Line?

The slope of the line is the ratio of the rise to the run, or rise divided by the run. It describes the steepness of line in the coordinate plane.

The slope intercept form of a line is y=mx+b, where m is slope and b is the y intercept.

The slope of line passing through two points (x₁, y₁) and (x₂, y₂) is

m=y₂-y₁/x₂-x₁

Considering the two lines are parallel, they both have the same slope.

let m be the slope of the two lines:

y=mx+y₀

y=mx+y₁

y₀, y ₁ are the value on y axis where the two lines cross the axis.

Because the lines are parallel, there exists no point that lies on both lines, therefore the system has 0 solution.

Hence, y=x+1 and y=x-5 are the equations of the lines in the given graph.

To learn more on slope of line click:

https://brainly.com/question/14511992

#SPJ1

4/7 i ubtracted from a poitive number and the reult i multiplied by 7 to obtain the

Q3. Original number. What i the number?

Answers

The fraction of the given equation would be 2/3.

locating the Original number.

The outcome is one less than the original number when a two-digit number with its digits reversed is subtracted from the same number. The number itself can be obtained by adding three times the tens digit and four times the units digit of the original integer.

Suppose that x is the initial or positive number.

(x - 4/7)* 7 = x

7(x) - 7(4/7) = x

7x - 4 = x

7x-x = 4

6x = 4

x = 4/6 = 2/3

Know more about Original number

https://brainly.com/question/9879870

#SPJ4

Other Questions
03.04 sympathetic and parasympathetic nervous systemsWhat two divisions does the peripheral nervous system divide into?sensory somatic nervous system? Propane (C3H8), a common fuel, reacts with oxygen to form carbon dioxide and water according to the equation below.C3H8 + 5O2 3CO2 + 4H2OHow many grams of oxygen are required to produce 37.15 g CO2?37.15 g CO2 = g O2 which of the results in a solution that is 5 m nacl? Write a story that explains the saying: Two heads are better than one. 1. Two materials that can be scratched by an iron mail are ___, ___2. What is the substance that can be scratched by an iron nail but not a penny?Please answer if the labor force of an economy is not fully employed, then if the labor force of an economy is not fully employed, then the economy is operating outside its production possibilities frontier. the economy is operating on its production possibilities frontier. the economy is operating inside its production possibilities frontier. the opportunity cost must be negative. there must have been an increase in technology to compensate for the labor shortage. Active neurons require _____ the way a car requires fuel. How do I use GNU nano commands? Yoooo please help meeeeeee tyyyyyyyyy ik its easy but Im just not smart to create a trailer for his movie, spurlock uses a technique called neuromarketing. after viewing the scene, what is neuromarketing? lead (ii) carbonate has a ksp of 1.5 x 10-13. what is the molar solubility? Which of the following statements concerning the characteristics of life is FALSE?A) Reproduction is defined as an increase in the size of an organism.B) Viruses have some, but not all, of the characteristics of living things.C) Organisms may not exhibit all of the characteristics of life at all times.D) Reproduction can occur asexually or sexually in living things.E) Living things store metabolic energy in the form of chemicals such as ATP. What are some of the differences between civilian employees appointed to high-ranking positions by the president and those who obtain their positions through the merit system? (Select all that apply.)A.Those hired through the merit system must have their applications forwarded to the OPM by at least one elected officialB.Those appointed by the president need not compete directly with other applicants for their positions.C.Appointed positions have a limit of four years service regardless of the department or agency that governs them.D.Those hired through the merit system need not be approved by Congress before beginning their service. How do the lungs and kidneys, respectively, compensate for metabolic acidosis? unlike persuasive messages, most business writing is? keplers first law of planetary motion states ""the orbits of the planets are _____ with the sun at one focus."" a. circular b. rigid c. ellipses d. spheres e. random A private museum charges $40 for a group of 10 or fewer people. A group consisting of more than 10 people must, inaddition to the $40, pay $2 per person for the number of people above 10. For example, a group of 12 pays $44. Themaximum group size is 50.a) How much does a group of 16 pay? b) Find a formula for the cost function. c) What are the domain and range of the cost function? (Hint: Use the graph on the calculator) contouring the forehead and highlighting the jawline are recommended for which face shape? Select the factor that will NOT help you avoid becoming the victim of a terrorist attack. PredictabilityLocationOpportunityAssociationPredictability Dawn is ordering 1 veggie sandwich for every 3 ham sandwiches. She needs 12 sandwiches in all. How many veggie sandwiches did she order, and how many ham sandwiches did she order.