mr doyle shares 1 roll of bulletin board paper equally with 8 teacher.The total length of the roll is 72 meters. How

Answers

Answer 1
If he has 72 meters to divide evenly among 8 teachers, you’d be solving the equation 72 divided by 8 which is equal to 9. The answer is that each teacher gets 9 meters of bulletin board paper.

Related Questions

100 POINTS!!! Please help.

Answers

Answer:

[tex]\dfrac{1}{a^{20}c^2d^2e^{6}}[/tex]

Step-by-step explanation:

Given expression:

[tex](a^{10}b^{0}cde^{3})^{-2}[/tex]

[tex]\textsf{Apply the exponent rule} \quad a^{-n}=\dfrac{1}{a^n}:[/tex]

[tex]\implies \dfrac{1}{(a^{10}b^{0}cde^{3})^{2}}[/tex]

[tex]\textsf{Apply the exponent rule} \quad (a^b)^c=a^{bc}:[/tex]

[tex]\implies \dfrac{1}{a^{(10 \times 2)}b^{(0 \times 2)}c^2d^2e^{(3 \times 2)}}[/tex]

Simplify:

[tex]\implies \dfrac{1}{a^{20}b^{0}c^2d^2e^{6}}[/tex]

[tex]\textsf{Apply the exponent rule} \quad a^0=1:[/tex]

[tex]\implies \dfrac{1}{a^{20}(1)c^2d^2e^{6}}[/tex]

[tex]\implies \dfrac{1}{a^{20}c^2d^2e^{6}}[/tex]

Express The Ratio 36 : 42 In it's Simplest Form ? ​

Answers

Answer:

6/7

Step-by-step explanation:

36/42 = 36:6/42:6 = 6/7

HELP PLEASE show work if possible I WILL MARK BRAINLIEST TO BEST ANSWER

Answers

The Value for x and y as follow:

A) x=2 and y=-8

B) x = -2 and y = 5

C) x = -9/4 and y= -5/2

What is Elimination Method?

The elimination approach involves taking one variable out of the system of linear equations by utilising addition or subtraction together with multiplication or division of the variable coefficients.

Given:

A) 9x- 2y = 34...............(1)

5x+ 2y = -6..............(2)

Adding equation (1) and (2) we get

9x -2y = 34

5x + 2y = -6

_____________

14x = 28

x= 28/14

x= 2

and, 5x +2y= -6

5(2) + 2y= -6

2y = -6 -10

y = -8

B) x+ 6y = 28.....................(3)

2x -3y = -19................(4)

Multiply equation (2) by 2 we get

4x - 6y = -38.......................(5)

Adding equation (3) and (5), we get

x + 6y = 28

4x- 6y = -38

___________

5x = -10

x= -2

and, x+ 6y= 28

-2 +6y= 28

6y= 30

y=5

C) 8x -6y = -3................(6)

6x -5y = -1......................(7)

Multiply equation (6) by 5 and equation by (6), we get

40x - 30 y = -15

36 x - 30y = -6

-       +           +

____________

4x = -9

x= -9/4

and, 8x - 6y = -3

8(-9/4) - 6y = -3

-18 - 6y= -3

-6y = 15

y = -5/2

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Which of the following statements must be true based on the diagram below?
Select all that apply. (Diagram is not to scale.)

Answers

UV is a segment Bisector.

What is a segment Bisector?

A segment bisector is a line, ray, or segment that splits another line segment in half evenly at its center. The midpoint of the line segment is always bisected by the line, which divides it into two equally sized parts.

What is the bisector rule?

The angle bisector theorem states that a triangle's opposite side is divided into two parts by an angle bisector that is proportional to the triangle's other two sides.

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HELP ASAP! (20 POINT CUZ I NEED DONE ASAP) In baseball, each time a player attempts to hit the ball, it is recorded. The ratio of hits compared to total attempts is their batting average. Each player on the team wants to have the highest batting average to help their team the most. For the season so far, Jana has hit the ball 7 times out of 10 attempts. Tasha has hit the ball 10 times out of 16 attempts. Which player has a ratio that means they have a better batting average?

Tasha, because she has the lowest ratio since 0.7 < 0.625
Tasha, because she has the highest ratio since 56 over 80 is greater than 50 over 80
Jana, because she has the highest ratio since 56 over 80 is greater than 50 over 80
Jana, because she has the lowest ratio since 0.7 < 0.625

Answers

Tasha, because she has the lowest ratio since 0.7 < 0.625

What is Ratio?

A ratio is an ordered pair of numbers a and b, written a / b where b does not equal 0.

The ratio of hits compared to total attempts is their batting average

Each player on the team wants to have the highest batting average to help their team the most.

Jana has hit the ball 7 times out of 10 attempts.

Average is 7/10=0.7

Tasha has hit the ball 10 times out of 16 attempts.

Tasha Average is 10/16=0.625

We need to find the player who has better batting average

Tasha, because she has the lowest ratio since 0.7 < 0.625

Hence, Tasha, because she has the lowest ratio since 0.7 < 0.625

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K
A ball is thrown vertically upward from the top of a building 32 feet tall with an initial velocity of 16 feet per second. The distances (in feet) of the ball from the ground after 1 seconds
iss-32+16t-16t^2
(a) After how many seconds does the ball strike the ground?
(b) After how many seconds will the ball pass the top of the building on its way down?
(a) After how many seconds does the ball strike the ground?

Answers

As determined in part, the ball reaches its highest point at time t is 2 seconds

how many seconds does the ball strike the ground?

S(t) = 32t - 16t2 is the formula for the displacement s(t) as a function of time t. We presume that the upward motion began at this altitude above the earth.

The ball's starting speed is 64 feet per second.

(A) The velocity is the displacement's first time derivative: v(t) = ds/dt = 32t – 16t. We are just deriving the function s for the first time (t).

(B) v(t = 3) = 32t– 16(3) = –32 feet per second. The ball is currently travelling downhill, according to the negative indication.

(c) The ball briefly pauses as it reaches its highest height before dropping. By setting the velocity to zero to symbolise this halt, we can calculate how long it will take the ball to reach its highest point.

v(t) = 32 - 16t = 0

or 16t = 32

out = 2 seconds.

As determined in part, the ball reaches its highest point at t = 2 seconds (c).

s(t = 2) = 32(2) - 16(2) (2)

2

or 32 feet if s(t = 2).

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Help me please! Whoever answers correctly gets brainliest and 40 points!
Which number is equivalent to the fraction 15/7?

O 2
O 2 1/7
O 7/15
O 1 8/7

Answers

2 1/7

Two 7/7 can be taken from 15 so we are left with 1/7 remaining in fractions. So correct answer is 2 and 1/7

Which of the following is most likely the next step in the series?
ООО
О А.
B.
О с.
O D.

Answers

Answer: C

Step-by-Step Explanation:
In the first image, you only see one line going to the right
In the second image, you see one line going to the right and one line going down
In the third image, you see one line going to the right and one line going to the left

The pattern is one line going to the right and a second line rotating around the center point. The reason you only see one line in the first image is because it is both overlapping lines.

The next step in the series is, shown in Option C.

What is mean by Circle?

The circle is a closed two dimensional figure , in which the set of all points is equidistance from the center.

Given that;

There are three steps are shown.

Now, In first step, only one line shown.

In second line the line is left to first line.

And, So on.

Hence, The next step in the series is, shown in Option C.

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Activity: Factor Theorem
Use the Remainder Theorem and Factor Theorem to determine whether the given
binomial is a factor of P(x).
P(x) = 9x³+ 6x - 40 - 2x² + 2x4; binomial: x + 5
the given problem.

Answers

The given polynomial is a factor of P(x) because P(-5)=0.

From the remainder theorem, how do you derive the factor theorem?

The Remainder Theorem states that if a synthetic division of a polynomial by x = a results in a zero remainder, then x = an is a zero of the polynomial (thanks to the Remainder Theorem), and x an is also a factor of the polynomial (courtesy of the Factor Theorem).

How can you tell if P(x) is a factor of X C?

The Factor Theorem states that x - c is only a factor of P(x) when P(c) = 0.

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What is the sum of 15 and the product of 5 and v

Answers

Answer:

15+5=v

Step-by-step explanation:

Solve

1. Add the numbers

15+5 = v

20 = v

2. Move the variable to the left

20 = v

v = 20

3. Solution

   v = 20


Before hibernation, a bear weighs 990 pounds. Its weight decreases
by 32% during hibernation. How much does the bear weigh when
it comes out of hibernation? Show your work.

Answers

Answer:316.8

Step-by-step explanation:

Answer:316.8

Step-by-step explanation:

If a city that currently has a population of 1000 triples in size every 8 years, what will the population be in 24 years? Is the population growth modeled by a linear function or an exponential function?

Answers

Step-by-step explanation:

I'm pretty sure it's 19200? or maybe im writing is wrong

Answer:

After 24 years population of the city will be 27000.

exponential function.

Step-by-step explanation:

in picture

For the function graphed below, what is the output when x=-2?

Answers

Step-by-step explanation:

that is a college level question ? and you don't know the answer ?

that is basic, basic, basic ...

you go on the x-axis to -2.

from there you go either up or down and look at what y-value are you crossing the functional curve.

it is -1.

so, the "output" for x = -2 is y = -1. or simply -1.

how long will it take me to finish 25 episodes anime with over 24 minutes each episode?​

Answers

Answer:

9.583 hours

Step-by-step explanation:

multiply both of them and divide by 60 youll get. how long it will take for u to complete an anime

It would take you approximately 600 minutes, or 10 hours, to watch 25 anime episodes that are 24 minutes each. This is based on the assumption that you will watch the episodes back to back without any breaks. If you plan to take breaks or watch the episodes at a slower pace, it will take longer.

To pay for a $15,900 car, Donna made a down payment of $4800 and took out a loan for the rest. On the loan, she paid monthly payments of $245.70 for 4
years.
(a) What was the total amount Donna ended up paying for the car (including
the down payment and monthly payments)?

(b) How much interest did Donna pay on the loan?

Answers

Total amount paid by Donna is $16,689.6 and interest paid is $789.6.

What exactly does a down payment mean?

The cash up front paid by the buyer in real estate transactions and other significant purchases is known as a down payment on a house. For a property being used as a primary residence, down payments, which are typically a percentage of the purchase price, can range from as little as 3% to as much as 20%.

According to question:

Given,

Price of car= $15,900

Down Payment=$4800

number of months=12 x 4=48 month

Monthly payment=$245.70

Total amount Donna paid = Down payment+ all monthly installment

Total amount = $4800+ 48 x 247.70 =$16,689.6

Interest Paid = $16,689.6 - $15,900 = $789.6

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Use Vocabulary to Describe a Graph
What is the domain of the relation?
✓ -4
5x56
COMPLETE
What is the range of the relation?
-4 ≤ys
DONE ✔
-4
+y
4
2
-2
-4
X

Answers

For the given graph, the domain and range of the relation equals [-4, 6].

What in mathematics is a relation?

A collection of ordered pairs having one item from each set makes up a relation between two sets. If the ordered pair (x,y) is present in the relation and the objects x and y come from different sets, then the objects are said to be connected. One kind of relation is a function.

In other words, the ordered pair collection, where the ordered pair is made up of an object from each set, is used to define the relationship between the two sets. As an illustration, consider the set notation symbols (-2, 1), (4, 3), and (7, -3) with curly brackets.

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An 8 ¼ -inch circular power saw blade rotates at 4400 revolutions per minute. (Round your answers to two decimal places.)
(a) Find the angular speed of the saw blade in radians per minute. ___________________







(b) Find the linear speed (in feet per minute) of the saw teeth as they contact the wood
being cut.
___________________

Answers

a) The angular speed of the saw blade in radians per minute is;

460.77 radians per minute.

b) The linear speed (in feet per minute) of the saw teeth as they contact the wood being cut is; 7.46 * 10⁻⁴ ft/min

How to find angular and linear speed?

a) Angular speed is defined as the speed of the object in rotational motion

The formula of the angular speed is; ω = θ / t

where;

ω is the angular speed

θ is the angular rotation

t is the time taken.

We are given;

In one revolution, the angle made is 2π radian.

In 4400 revolutions = 2π * 4400 radian

= 8800π radians

We know that ,

1 hour = 60 minute.

Thus;

Angular speed = 8800π/60

= 460.77 radians per minute

b) The relationship between the linear speed and angular speed in a uniform circular motion is given by the formula;

s = rω

where;

s is the linear speed

r is the radius

ω is the angular speed.

radius = 8 ¼ -inch/2 = 33/8 inches

Conversion from inches to feet gives;

33/8 inches = 0.34375 ft

Thus;

s =  0.34375/460.77

s = 7.46 * 10⁻⁴ ft/min

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Tell whether the angles are adjacent or vertical. Then find the value of x.

Answers

Answer is vertical and 128 degrees

Step by step

Vertical angles are opposite each other.
Vertical angles are congruent, or the same

hello i need help with my math question please thank.

Answers

The three ways to purchase a vehicle include: (1) On lease  (2) On hire purchased and (3) On cash basis

How to purchase a vehicle?

A vehicle can be purchased on the following ways:

Lease:  This involves granting the user access on the property over a period of time before he could make payment

Hire purchase:  In this method, the buyer deposits first initial money while he agrees with the seller to make the payment of the balance on installment basis

Cash:  In this method the buyer pays cash at prompt or on the point of purchase

Advantages include:

It places the buyer on good life without cash

He enjoys the luxurious life

Disadvantages:

He can run away with the vehicle

The seller looses in cash of accident taking the life of the buye

Additional expenses include

Cost of maintenance

Repairs

Fueling

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Write a piecewise-defined function for this graph please!

Answers

The piecewise-defined function for this graph will be y = -(3/5)x - 4/5 for x < 2 and y = (5/2)x - 7 for x ≥ 2.

What is a function?

A function is an assertion, concept, or principle that establishes an association between two variables. Functions may be found throughout mathematics and are essential for the development of significant links.

The equation of the line that passes through (-3, 1) and (2, -2) is given as,

(y + 2) = [(- 2 - 1) / (2 + 3)](x - 2)

y + 2 = - (3/5)x + 6/5

y = -(3/5)x - 4/5

The equation of the line that passes through (2, -2) and (4, 3) is given as,

(y + 2) = [(3 + 2) / (4 - 2)](x - 2)

y + 2 = (5/2)x - 5

y = (5/2)x - 7

The piecewise-defined function for this graph will be y = -(3/5)x - 4/5 for x < 2 and y = (5/2)x - 7 for x ≥ 2.

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how to figure out how many data points are in a data set

Answers

Answer:

Step-by-step explanation:

read the data numbers

Is a function that can be graphed
as a solid line discrete or continuous?

Answers

Linear function Is a function that can be graphed as a solid line discrete or continuous

What is a linear function?

Linear functions are simply known as functions whose graph is a straight line.

They have one dependent variable and one independent variable.

These functions have either one or two variables without exponents.

Continuous graphs are used to represent functions that are continuous along their entire or whole domain.

Whereas, discrete graphs are used to represent values at specific points along the number line from different directions.

Types of the linear function;

Direct variationslope-intercept formstandard formpoint-slope form

Hence, it is a linear function

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In some cities you can rent a car for $18 per day and $0.20 per miles. a. Find the cost of renting the car for one day and driving 200 miles.

Answers

The cost of renting the car for one day and driving 200 miles is $54.

What is an equation?

An equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.

Given that, In some cities you can rent a car for $18 per day and $0.20 per miles.

Establishing the equation for finding total cost y for x miles and d days

y = 18d + 0.2x

For 200 miles, the cost =

y = 18×1+0.20×200

y = 18+40

y = $54

Hence, the cost of renting the car for one day and driving 200 miles is $54.

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What is the equation of the line that passes through the point (6,-5) and has a
slope of 1/3?

Answers

Answer:

y = 1/3x - 7

Step-by-step explanation:

start with the point-slope form:

(y-y1) = m(x-x1)

substitute the values of (x,y) into the formula:

(y-(-5)) = 1/3(x-6)

y+5 = 1/3x - 2

now write in slope-intercept form:

y = 1/3x - 2 - 5

y = 1/3x - 7

Pls help! Step by step:)

Answers

Answer:

x = 15

Step-by-step explanation:

using Pythagoras' identity in the right triangle.

the square on the hypotenuse is equal to the sum of the squares on the other 2 sides, that is

x² = 9² + 12² = 81 + 144 = 225 ( take square root of both sides )

x = [tex]\sqrt{225}[/tex] = 15

Answer:

x = 15

Step-by-step explanation:

[tex]\boxed{\begin{minipage}{9 cm}\underline{Pythagoras Theorem} \\\\$a^2+b^2=c^2$\\\\where:\\ \phantom{ww}$\bullet$ $a$ and $b$ are the legs of the right triangle. \\ \phantom{ww}$\bullet$ $c$ is the hypotenuse (longest side) of the right triangle.\\\end{minipage}}[/tex]

From inspection of the given right triangle:

a = 9b = 12c = x

Substitute the given values into Pythagoras Theorem and solve for x:

[tex]\implies 9^2+12^2=x^2[/tex]

[tex]\implies 81+144=x^2[/tex]

[tex]\implies 225=x^2[/tex]

[tex]\implies \sqrt{x^2}=\sqrt{225}[/tex]

[tex]\implies x=15[/tex]

Mr. Fraser signs up for a math class in the
summer, and at the end of each week there is
a 5 questions multiple choice test. Each
question has four options/answers.
On week 3, out of curiosity, he decides to
randomly pick the answer for each of the five
questions (he doesn't even read the
questions-just circles one of the four
options!)
What is the probability that he will pass using
this method? Do you think he will regret this
experiment?​

Answers

Therefore , the solution of the problem of probability comes out to be  

Probability = 0.25 or 25% that he will pass using this random option picking method.

Define probability.

Probability is the likelihood or potential for something to event.  For instance, there is only one way to get a head and a total of two possible outcomes, hence the probability of flipping a coin and getting heads is 1 in 2. (a head or tail). P(heads) must equal 12. Classical: (equally likely results) (equally probable outcomes) S, the sample location (the collection of all distinct outcomes that could occur), Definition of Relative Frequency and Subjective Probability.

Here,

Given : t the end of each week there is a 5 questions multiple choice test.

and

Has 4 options.

Probability that he will pass using this random option picking method.

=> Probability = Favourable events / Total no of outcomes

=>  Probability = 1 /4

=> Probability = 0.25 or 25%

Therefore , the solution of the problem of probability comes out to be  

Probability = 0.25 or 25% that he will pass using this random option picking method.

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What are the exact values of a and b ?

CORRECT ANSWER

PROVIDE EXPLANATION

Answers

Answer:

b

Step-by-step explanation:

i think i say c because a is 30 degrees and c is 90 the whole triange needs to be 180 so b would be 60 also you see one side is 10 the other side also known as b is also 10 they have to be the same length and a is five because half of 10 is 5

Solve (x – 3)2 = 49. Select the values of x. –46 -4 10 52

Answers

it's none of the above its 27.5

Solve systems of equations by elimination -9x-2y=5 -9x-2y=11

Answers

Answer:

no solutions

Step-by-step explanation:

   -9x-2y=5

- (-9x-2y=11)

-9x-(-9x) - 2y-(-2y) = 5 - 11  ==> subtract the top two equations

-9x + 9x - 2y + 2y = -6  ==> subtracting by a negative number is equivalent

                                       to adding by a positive number

(-9x + 9x) - 2y + 2y = -6

0 - 2y + 2y = -6

0 - 0 = -6

0 [tex]\neq[/tex] -6  ==> Hence, there is no solutions.

Solve this math problem.

Answers

Therefore ,the value of a given fraction is equal to 10/12, which equals 5/6, after resolving the given problem.

What exactly is a fraction?

To represent a whole, divide it into any number of comparable parts, or fractions. How many units of a particular size there are is expression using fractions in standard English. 8, 3/4. Parts of a whole are included. Numbers in mathematics are stated as a ratio of the excess to the denominator. These are each simple fractions that represent an integer. A fraction is contained in the fraction or reduction of a complex fraction. When a fraction is true, its numerators are less than its denominators. An amount that makes up a fraction of a whole is called a fraction. You can assess the whole by dissecting it into smaller pieces.

Here,

Given : 5/8 X 4/3

=> 5/8 X 4/3 = 20/24

on condensing,

10/12 = 5/6

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