on a scale of map, 5cm represent 60km. if the distance between two points on the map is 8cm, find the actual distance between these points?​

Answer:

Hey there!

For the first one:

Chips: x

Pretzels: 3x

Nachos: 3x-2

Total snacks: x+3x+3x-2=7x-2

For the second one:

In the equation, 150+5d, 150 represents the starting amount of money, in this case, 150 dollars. 5d means that for every day, five dollars get put into his account.

For the third one:

In this equation, 1.50 represents to initial fee, and 2.25m represents the cost per mile. Dividing by 2 gives us what each person in the cab pays.

Let me know if this helps :)

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Explanation:

I'll use y in place of V for now. Also, I'll use x in place of t.

x = number of years

y = value of the oven

Initially, the oven's value is $875, so x = 0 and y = 875 pair up together. The point (0,875) is on the line.

The point (5, 0) is also on the line to indicate that x = 5 years later is when the value of the oven is y = 0 dollars.

We need to find the equation of the line through (0,875) and (5,0)

First we'll need the slope

m = (y2-y1)/(x2-x1)

m = (0-875)/(5-0)

m = -175

The negative slope means the oven is losing 175 dollars in value each year.

The y intercept is b = 875 as this is the initial value of the oven

Put together, y = mx+b turns into y = -175x+875

If we plugged x = 0 into this equation, we'd get y = 875

Similarly, plugging x = 5 into y = -175x+875 leads to y = 0. This helps check we have the right equation

Lastly, replace x with t and replace y with V to end up with V = -175t + 875 which is our final answer.

Answer:

The correct option is (a).

Step-by-step explanation:

The Pearson's correlation coefficient is a statistical degree that computes the strength of the linear relationship amid the relative movements of the two variables (i.e. dependent and independent).It ranges from -1 to +1.

Positive correlation is an association amid two variables in which both variables change in the same direction.  A positive correlation occurs when one variable declines as the other variable declines, or one variable escalates while the other escalates.

Negative correlation is a relationship amid two variables in which one variable rises as the other falls, and vice versa.

In this case, it is provided that the Pearson correlation coefficient is, r = +0.88.

A correlation coefficient between ±0.70 to ±1.00 are considered as strong positive correlation.

The scatter plot for correlation coefficient between +0.70 to +1.00 shows:

Thus, the correct option is (a).

Answer:

The probability that a randomly selected day in April will be rainy or windy is 0.62 or 62%.

Step-by-step explanation:

We are given that the probability of rain on any day in the month of April is 34%. The probability that it will be windy on any day in the month of April is 38%, and the probability of both is 10%.

And we have to find the probability that a randomly selected day in April will be rainy or windy.

Let the probability of rain on any day in the month of April = P(A) = 0.34

The probability of windy on any day in the month of April = P(W) = 0.38

The probability of both windy and rainy on any day in the month of April = P(R [tex]\bigcap[/tex] W) = 0.10

Now, the probability that a randomly selected day in April will be rainy or windy is given by = P(R [tex]\bigcup[/tex] W)

        P(R [tex]\bigcup[/tex] W) = P(R) + P(W) - P(R [tex]\bigcap[/tex] W)

                        = 0.34 + 0.38 - 0.10

                        = 0.62 or 62%

So, the probability that a randomly selected day in April will be rainy or windy is 62%.

Answer:

1 solution; (1,4)

Step-by-step explanation:

Whenever two lines intersect, their solution is the point that the two share in common. Here, it's (1,4), so that is the answer.

Answer:

4

Step-by-step explanation:

Easiest way to remember absolute value is the number always comes out positive.

l-4l=4

Answer:

the answer is 4

Step-by-step explanation:

the absolute value means it doesn't consists of any sign (neither positive nor negative)

Answer:

[tex]\huge\boxed{\frac{y}{8} }[/tex]

Step-by-step explanation:

Quotient means to divide. So, the expression will be like:

=> [tex]\frac{y}{8}[/tex]

Answer:

Option B.

Step-by-step explanation:

The given equation is

[tex]17h+6=40[/tex]

We need to find the property of equality to move the constant term to the right side of the equation.

In the given equation 6 is the constant term on the left side.

Using subtraction property of equality, subtract 6 from both sides.

[tex]17h+6-6=40-6[/tex]

[tex]17h=34[/tex]

So, the appropriate property of equality to move the constant term to the right side of the equation is Subtraction Property of Equality.

Therefore, the correct option is B.

Answer: Choice C) 4

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Work Shown:

Set the denominator equal to zero and solve for x

4x-16 = 0

4x-16+16 = 0+16 ... add 16 to both sides

4x = 16

4x/4 = 16/4 ... divide both sides by 4

x = 4

--------

If x = 4, then the denominator is 0

4x-16 = 4(4)-16 = 16-16 = 0

So this x value is what we exclude from the domain to avoid a division by zero error.

Answer:

2.74 microns

Step-by-step explanation:

According to the given situation, the calculation of position, in microns, is shown below:-

Here we will use the standard normal table,

P(Z > z) = 20%

1 - P(Z < z) = 0.2

P(Z < z) = 1 - 0.2

P(Z < 0.84) = 0.8

after solving the above equation we will get

z = 0.84

Now we will use the z-score formula,

[tex]x = z \times \sigma + \mu[/tex]

[tex]x = 0.84 \times 0.35 + 2.45[/tex]

x = 0.294 + 2.45

= 2.744 microns

or

= 2.74 microns

Options :

A) 50t + 60t =4002

B) (50t)2+(60t)2 = 4002

C) 50t + 60t = 400

C) 50t2 + 60t2 = 4002

Answer:

400^2 = (50*t)^2 + (60*t)^2

Step-by-step explanation:

Given the following :

Ms. Ironperson:

moves due east

Speed = 50 mph

Rate of travel = 50t

Let time taken = t ; hence Distance covered with respect to time = ( 50 * t) = 50t

Mr. Thoro

moves due South

Speed = 60 mph

Rate of travel = 60t

Let time taken = t ; hence Distance covered with respect to time = ( 60 * t) = 50t

They are moving at right angle from each other, thus, we can apply Pythagoras rule ;

The displacement between them will be = 400 miles which is the hypotenus

From Pythagoras :

Hypotenus^2 = opposite^2 + Adjacent^2

Displacement = distance 1 + distance 2

400^2 = (50*t)^2 + (60*t)^2

Answer:

  3/4

Step-by-step explanation:

Dividing by a fraction is the same as multiplying by its reciprocal.

  [tex]\dfrac{2}{5}\times\dfrac{5}{4}\div\dfrac{2}{3}=\dfrac{2}{5}\times\dfrac{5}{4}\times\dfrac{3}{2}\\\\=\dfrac{(2)(5)(3)}{(2)(5)(4)}=\boxed{\dfrac{3}{4}}[/tex]

Hi there! Hopefully this helps!

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[tex]12 = 12+ \frac{v-8}{2}[/tex]

Multiply both sides of the equation by 2 to get:

[tex]24 = 24 + v - 8[/tex]

Subtract 8 from 24 to get 16.

[tex]24 = 16 + v[/tex]

Swap sides so that all variable terms are on the left hand side.

[tex]16 + v = 24[/tex]

Subtract 16 from both sides.

[tex]v = 24 - 16[/tex]

Answer: [tex]5/18[/tex]

Do Keep Change Flip (KCF)

Keep: [tex]5/3[/tex]

Change: ÷ into ×

Flip: [tex]6/1[/tex] into [tex]1/6[/tex]

Multiply

[tex]5/3*1/6=5/18[/tex]

●✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎❀✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎●

Hi my lil bunny!

❧⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯☙

[tex]\boxed{\frac{5}{3} \div \frac{6}{1} = \frac{5}{18}}\\[/tex]

[tex]\frac{5}{3} \div \frac{6}{1} =[/tex]

Apply the fraction rule : [tex]\frac{a}{b} \div \frac{c}{d} = \frac{a}{b} . \frac{c}{d}[/tex]

[tex]= \frac{5}{3} . \frac{1}{6}[/tex]

Multiply the fractions : [tex]\frac{a}{b} . \frac{c}{d} = \frac{a . c}{b . d}[/tex]

[tex]= \frac{5 . 1}{3 . 6}[/tex] ( This " . " means times ! )

Multiply the numbers : [tex]5 . 1 = 5[/tex]

[tex]= \frac{5}{3 . 6}[/tex]

Multiply the numbers : [tex]3 . 6 = 18[/tex]

[tex]= \frac{5}{18}[/tex]

❧⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯☙

●✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎❀✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎●

Have a great day/night!

❀*May*❀

Answer:

x = 145

Step-by-step explanation:

If we look at the right triangle with sides of 24 and 30, we can find the missing leg using the Pythagorean Theorem. If we look carefully, we notice that 18:24:30 is basically the 3:4:5 Pythagorean Triple multiplied by 6, so the missing side is 18. If we look at the right triangle with sides of x and 24, we can find the missing side by calculating 161 - 18 = 143. Using the Pythagorean Theorem, we know that 143² + 24² = x² so x = 145.

Answer:

q = 27/10

Step-by-step explanation:

10/9 = 3/q

To find q, we must seperate it from the other numbers,

First we divide both sides by 3,

(10/9)/3 = (3/q)/3

10/27 = 1/q

Now we find the reciprocal of both sides to get the answer,

27/10 = q

q = 27/10

Answer:

[tex]\frac{3s^2-4}{s(s^2-4)}[/tex]

Step-by-step explanation:

Here, the question is to find the Laplace transformation of [tex]f(t)[/tex]

where, [tex]f(t)=(e^t-e^{-t})^2[/tex]

We know that for [tex]t>0[/tex],  [tex]\mathcal{L}\{f(t)\} =\int_0^{\infty} e^{-st}f(t)dt[/tex]

[tex]\mathcal{L}\{e^{at}\}=\int_0^{\infty} e^{-st}e^{at}dt[/tex]

[tex]\Rightarrow \mathcal{L}\{e^{at}\}=\int_0^{\infty} e^{(a-s)t}dt[/tex]

[tex]\Rightarrow \mathcal{L}\{e^{at}\}=\left[\frac { e^{(a-s)}}{a-s}\right]_0^{\infty}[/tex]

[tex]\Rightarrow \mathcal{L}\{e^{at}\}=\frac { 1}{s-a}\cdots(i)[/tex]

Here, we have [tex]f(t)=(e^t-e^{-t})^2[/tex]

[tex]\Rightarrow f(t)=(e^t)^2+(e^{-t})^2-2(e^t)(e^{-t})[/tex]

[tex]\Rightarrow f(t)=e^{2t}+e^{-2t}-2e^{0t}[/tex]

So, the laplace transformation of [tex]f(t)[/tex] is

[tex]\mathcal{L}\{f(t)\}=\mathcal{L}\{e^{2t}+e^{-2t}-2e^{0t}\}[/tex]

[tex]\Rightarrow \mathcal{L}\{f(t)\}=\mathcal{L}\{e^{2t}\}+\mathcal{L}\{e^{-2t}\}+\mathcal{L}\{e^{0}\}[/tex]

Now, using equation[tex](i)[/tex]

[tex]\mathcal{L}\{f(t)\}=\frac{1}{s-2}+\frac{1}{s-(-2)}+\frac{1}{s-0}[/tex]

[tex]\Rightarrow \mathcal{L}\{f(t)\}=\frac{1}{s-2}+\frac{1}{s+2}+\frac{1}{s}[/tex]

[tex]\Rightarrow \mathcal{L}\{f(t)\}=\frac{3s^2-4}{s(s^2-4)}[/tex]

Hence, the Lapelace transformation of [tex]f(t)=(e^t-e^{-t})^2[/tex] is

[tex]\frac{3s^2-4}{s(s^2-4)}[/tex].

Answer:B:(5)

Step-by-step explanation:

I just did the test

The maximum number of balls company can produce will be 5.

What is Mathematical equation ?

By definition, an equation is a mathematical statement made up of two expressions linked by an equal sign.

In other words the equation represents the graph between x and y that is for each value of x there exist one value of y here, for x = 20 baseball bats , y=5 baseball will be produce which can be seen from the given graph by drawing parallel line from the intersection point of x=20 and line AC.

Therefore, y = 5 number of baseball will be produced.

check and know more about equation of line here :

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B. Smallest value for a given interval.

Hope this helps.

Answer:

B) smallest value for a given interval.

Step-by-step explanation:

Answer:

Step-by-step explanation:

Given the amount invested for a particular period of time at an interest rate, the equation that can model the Interest achieved on investment is expressed using the simple interest formula as shown;

Simple Interest = PRT/100 where;

P is the principal (amount invested)

R is the rate (in %)

T is the time (in years)

From the equation I = PRT/100, we need to express tht time T as a function of the rest of the variable as shown;

I = PRT/100

cross multiply

100I = PRT

Divide both sides by PR

100I/PR = PRT/PR

100I/PR = T

Hence the the time it takes to earn a certain amount of interest on a principal amount in an investment with simple interest is expressed as

T = 100I/PR

Answer:

The slope is the inclination of a surface or a line with respect to the horizontal. It can be measured at an angle in degrees, radians or grades or even in percentage, that is to say according to the height to length ratio multiplied by 100.

Step-by-step explanation:

Answer:

p: x = 4  

q: y = -2

If p happens then q will also happen

Step-by-step explanation:

Given two propositions, we want to rearrange them in a conditional statement.

The correct answer is:

p → q

First, a conditional statement is something of the form:

If [Hypothesis] then [Conclusion]

So, if the first part is true, then the second part must be true.

Now, here we have two propositions:

p: "x  = 4"

q: "y = -2"

We want to write:

"if x = 4, then y = -2"

this is just written as: "p implies q" or:

p → q

Where "→" means "then", and the initial "if" is tacit.

If you want to learn more, you can read:

https://brainly.com/question/10714086

Answer: [tex]\chi^2[/tex] test statistic.

Step-by-step explanation:

The chi-square ([tex]\chi^2[/tex]  ) test is a non-parametric statistical test(also known as Goodness of fit test) which is used to determine if a distribution of observed frequencies differs from the expected frequencies.

Chi-square statistic uses either nominal (categorical) or ordinal level data.

Hence, When determining how well an observed set of frequencies fits an expected set of frequencies, the test statistic is [tex]\chi^2[/tex] test statistic.

Answer:

The answer is B (60)

Step-by-step explanation:

The formula for area is L x W, since they claim the base is 12in and even state teh length is 10in all that is needed is to multiply 12 x 10 to get 120. The area of the window is 120 inches. and half of 120 is 60 Area articulates  the space occupied by a flat shape or the surface of an object. The answer is B

The area of the window will be 60 square inches. Then the correct option is B.

It is a polygon with four sides. The total interior angle is 360 degrees. A parallelogram's opposite sides are parallel and equal.

A small window in a barn is shaped like a parallelogram. The height of the window is half the length of the base of the window.

The formula for area is L x W, since they claim the base is 12in and even state the length is 10 in all that is needed is to multiply 12 x 10 to get 120.

The area of the window is 120 inches and half of 120 is 60 Area articulates the space occupied by a flat shape or the surface of an object.

The area of the window will be 60 square inches. Then the correct option is B.

More about the parallelogram link is given below.

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Answer:

Step-by-step explanation:

xxxx.com

Answer:

B.  7

Step-by-step explanation:

|3x – 1| =

= |3(-2) - 1|

= |-6 - 1|

= |-7|

= 7

Answer: B.   7

Answer:

The answer is nonexistent

Step-by-step explanation: