The total amount charged by a delivery service is described by the linear equation y=2.5x+7, where x is the number of miles traveled and y is the total cost. What is the rate of change in cost per mile?

$10.00 per mile

$9.50 per mile

$7.00 per mile

$2.50 per mile​

Answers

Answer 1

See

y=2.5x+7

Compare to slope intercept form of line y=mx+b

Slope=m=2.5

Rate of change is slope

So

it's

$2.50 per mile
Answer 2

Answer:

$2.50 per mile

Step-by-step explanation:

Given that,

→ y = mx + b

→ y = 2.5x + 7

The rate of change in cost per mile is,

→ slope

→ m

→ [ $2.5 ]

Hence, rate of change in cost is $2.5.


Related Questions

Which equation of a line is parallel to y=4/5x-1?
a. y=4/5x+2
b. y= -5/4x-1
c. y= -4/5x+3
d. y=5/4x-6

Answers

Answer:

a

Step-by-step explanation:

you need to have same kx for lines to be parallel.

y=kx+l

l is where the line is going through ordinate and it doesn't matter, but the kx has to be the same

If m∠2 = 80°, what is m∠4?

Answers

Answer:

80 degrees

Step-by-step explanation:

they are vertical pirs (across from each other) so they have the same measure

How does understanding the history of credit make you think
differently about credit cards and other forms of debt? Please helpppp!!!

Answers

Knowing the history of credit cards makes you understand why credit cards were created and the reason they were necessary for human societies.

What is the focus of history?

History teaches you about the origin of specific elements, in this case, credit cards, and their evolution over time.

Why is history important?

History is about both origin and evolution; due to this:

History explains why credit cards emerged and the reason they were necessary.History shows you the way credit cards have changed or stayed the same due to different causes.

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A box shaped like a rectangular prism has a height of 9 inches, a width of 5 inches, and a volume of 315 cubic inches. What is the length?

Answers

Answer:

7 in

Step-by-step explanation:

L * W * H = volume

L * 5 * 9  = 315

L = 315 / (5*9) = 7 in

What is the inverse of f(x)=1/3x+2?

Answers

Answer:

[tex]f^{-1}[/tex] (x) = 3(x - 2)

Step-by-step explanation:

let y = f(x) and rearrange making x the subject

y = [tex]\frac{1}{3}[/tex] x + 2 ( subtract 2 from both sides )

y - 2 = [tex]\frac{1}{3}[/tex] x ( multiply both sides by 3 to clear the fraction )

3(y - 2) = x

change y back into terms of x with x = [tex]f^{-1}[/tex] (x) , then

[tex]f^{-1}[/tex] (x) = 3(x - 2)

Answer:

3(x-2)

Step-by-step explanation:

interchange value of x and y

The probability of an event is P(A) = 0.05 What is the complement of P(A)?

Answers

Probability is the likelihood or chance that an event will occur. The complement of the probability will be 0.95

What is probability?

Probability is the likelihood or chance that an event will occur. Mathematically:

Probability = expected outcome/total outcome

Given that the probability of an event is P(A) = 0.05, the complement will be expressed as:

P'(A) = 1 - P(A)
P'(A) = 1 - 0.05
P' (A) = 0.95

Hence the complement of the probability will be 0.95

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According to the rational root theorem, which is a factor of the polynomial f(x) = 3x3 – 5x2 – 12x 20? 2x 1 2x – 1 3x 5 3x – 5

Answers

The factor of the polynomial 3x³ – 5x² – 12x + 20 is  (x – 2), (x + 2), and (3x – 5). Then the correct option is D.

What is a factorization?

It is the method to separate the polynomial into parts and the parts will be in multiplication. And the value of the polynomial at this point will be zero.

The polynomial is given below.

f(x) = 3x³ – 5x² – 12x + 20

Then the factor of the polynomial will be

f(x) = (x – 2)(x + 2)(3x – 5)

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Answer: D.) 3x-5

Step-by-step explanation:

I would know because I got it right on my unit test.

Which is the general form of the equation of the circle shown? x2 y2 4x – 2y – 4 = 0 x2 y2 4x – 2y 2 = 0 x2 y² – 4x 2y – 4 = 0 x2 y² – 4x 2y 2 = 0

Answers

The general equation that represents the circle is x² + y² + 8x - 18y + 72 = 0

How to determine the circle equation?

The center of the circle is given as:

Center, (a,b) = (-4,9)

The diameter is given as:

d = 10

Calculate the radius (r)

r = 10/2 = 5

The circle equation is then calculated using:

(x - a)² + (y - b)² = r²

So, we have:

(x + 4)² + (y - 9)² = 5²

Expand

x² + 8x + 16 + y² - 18y + 81 = 25

Collect like terms

x² + y² + 8x - 18y + 16 + 81 - 25 = 0

Evaluate

x² + y² + 8x - 18y + 72 = 0

Hence, the general equation that represents the circle is x² + y² + 8x - 18y + 72 = 0

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The radius of a semicircle is 1 meter. What is the semicircle's perimeter?

Answers

Answer:

5.1416

Step-by-step explanation:

L = πr + d = 1 * π + 2 [meter] ≈ 5.1416 [meter]

A force of 61 N is applied to an area of 750 cm2.
Calculate the pressure in N/m2.
Give your answer to the nearest integer.

Answers

Answer:

813.33 N/m²

Step-by-step explanation:

Before finding the answer to this, let us convert 750cm² to m².

1 m ⇒ 100cm

1 m × 1 m ⇒ 100 cm × 100 cm

--------------

1 m² ⇒ 10000 cm²

 x    ⇒ 750 cm²

Let us use cross multiplication to find the value of x.

10000x = 750 × 1

10000x = 750

x = 750/10000

x = 0.075

∴ 750 cm² = 0.075 m²

And now let us find the pressure.

Pressure = Force ÷ Area

Pressure = 61 N ÷ 0.075 m²

Pressure = 813.33 N/ m²

A candy company is marketing a special assortment of caramels. The company wants to put 20 individual caramels into a rectangular box. Each caramel is a 1-inch cube. The caramel should completely fill the box.

Which arrangement of caramels requires the least cardboard?

Answers

Answer:

five by four

Step-by-step explanation:

URGENT
Malia is solving a system of linear equations. She will multiply Equation 2 by a number so that the x terms will sum to 0 when the equations are combined. Which is Equation 2 after the multiplication?

Equation 1: 3x+2y=9

Equation 2: -x+3y=8

A) -3x+3y=8

B) -3x-9y=24

C) 3x+9y=24

D) 3x-9y=-24

Answers

i’m pretty sure it’s 3xbecause it’s right

Which type of data would be best displayed in a histogram?

Answers

Answer: A graphical display of data using different heights

Will is five years more than twice Maria's age. In five years the sum
of their ages will be sixty. How old is Will now?

Answers

Answer:

Will's Age : 35

Maria's Age : 15

Step-by-step explanation:

Will is five years more than twice Maria's age.

15 doubled is 30 plus 5 is 35.

In five years, when Will will be 40 and Maria will be 20 years, their ages will add up to 60.

I will give Brainlyist to the first person who replies and gets most of the answers correct.

Answers

31) 12
32) integers ??
33) 3/5
34) 6.5 ???
35) 3,000,000
36) 8
37) 15
38) 1

Which is the expression is equivalent to 27/125
a (3/5)3
b 3/5'3
c (3/4)2
d(3'3/5'5)

Answers

Answer:

a

Step-by-step explanation:

(3/5)^3= 27/125

So a is the correct answer

Answer:

Answer option D.

I'm assuming you meant (3/5)'3 for option A.(3/5)^3 also known as (3/5)'3 in your case.

If we simplify the expression (3/5)^3 we can see that ^3 means you cube both the numerator and the denominator since 3/5 is in parenthesis.

Numerator:

3 cubed(3^3) would result in

= 9

Denominator:

5 cubed(5^3) would result in

= 125

Hence, you'll get 9/125.

So your answer is;

A, (3/5)'3

How many faces does a solid with 8 vertices and 12 edges have?

8
12
6
22

Answers

Answer:

6

Step-by-step explanation:

Look at the cube or find one at your house. There are 8 vertices (corners) and 12 edges.

I need help with this problem if anyone wants to help me please do

Answers

Answer:

11

Step-by-step explanation:

hope this helps loves x

4 divide44 is11
That’s a right answer

2x2-11x/2-1+y/z
if x = 3, y = 7, and z = 2?

Answers

Answer:

4

Step-by-step explanation:

subsitute the value of the variable into the expression and simplify.

a restaurant chains owners are trying to decide if they want to open up a franchise in your town to help them decide they want to find out how often people in your town go out to eat. A researcher interviews people leaving a local restaurant. Is there a bias in this sampling method? Explain.

Answers

Answer:

It's biased, they are only sampling people who are eating out at the time. It leaves out those not currently at the restaurant.

Step-by-step explanation:

Please help this is due in 10 minutes!!!

Answers

Answer:

3053.63 un³

Step-by-step explanation:

Hello!

The diameter is 18, so the radius is half of the diameter, or 9.

Using the volume of a sphere formula: [tex]\frac43\pi r^3[/tex]

Solve:

[tex]\frac43\pi r^3[/tex][tex]\frac43\pi *9^3[/tex][tex]\frac43*729\pi[/tex][tex]972\pi[/tex]3,053.6280592893 ≈ 3,053.63

The volume is 3053.63 un³.

helppppppppppppppppp meee​

Answers

Answer:

Given

Step-by-step explanation:

As I can see, in the question the statement is already given.

I took picture off it

Answers

Answer:

F

Step-by-step explanation:

the box plot is divided into quarters, the line on the end to 20 being 1/4th, the start of the box to the line in the box being another 1/4th, the middle line to the end of the box is another 1/4th, and the last line is the last 1/4th

The function f(t)=1900(1. 4)^t

t

represents the change in a quantity over t hours. What does the constant 1. 4 reveal about the rate of change of the quantity?

Answers

Answer:

Increasing by 40%

Step-by-step explanation:

This is a exponentional function. The format for this type of function is a(b)^x. So "a" is your initial value, and "b" is the rate. Now let's think to ourselves what times what is still equal to the same thing? That is 1. But in our question, we have 1.4. So we are increasing by 0.4, or 40%.

how mant cubic centimeters of air would be needed to completely fill a soccer ball with a radius of 15cm?

Answers

Answer:

14137.17 cubic cm

Step-by-step explanation:

I can see that the radius here is 15cm, and when it says air, I am going to guess we are looking for the volume. We do the equation in order to get the volume, and get the answer 14137.17cm.

IMPORTANT : When it says air-  you have to realize it's VOLUME.

given:

radius= 15 cm

to find:

the amount of cubic centimeters of air needed to fill the soccer ball.

solution:

[tex]v = \frac{4}{3} \pi {r}^{3} [/tex]

[tex]v = \frac{3}{4} \times \pi \times {(15)}^{2} [/tex]

[tex]v = 14137.17 {cm}^{3} [/tex]

therefore, the soccer ball can hold 14137.17 cubic centimeters of air.

How do you calculate scale factor of the sides of figures

Answers

Verify that the figures are similar. Similar figures, or shapes, are ones in which the angles are congruent, and the side lengths are in proportion.

Find a corresponding side length on each figure. You may need to rotate or flip the figure so that the two shapes align and you can identify the ...

Set up a ratio. For each pair of similar figures, there are two scale factors: one you use when scaling up, and one you use when scaling down. If ...

Simplify the ratio. The simplified ratio, or fraction, will give you your scale factor. If you are scaling down, your scale factor will be a proper answer

8. (8, 6); 5x - 5y = 10
7x - 14y = -28

Answers

Answer:

28

Step-by-step explanation:

because 28 is the last one

PLEASE HELP!!!!I’LL GIVE BRAINLIEST!

find the supplementary angle to an angle
that is 128.9º. explain your answer

Answers

First to know what a supplementary angle is as an angle that is 180 degrees.

Explanation:
To find the missing number you would take what the angle add up to (180) and subtract it by the given number(128.9). In this case your answer would be 51.1 degrees.

3 consecutive integers have a sum of 120. What is the least of these integers

Answers

Answer:

39

Step-by-step explanation:

39 + 40 + 41 = 120

39 is the least of these integers

i cannot do this question and i am stuck

Answers

Answer:

-57

Step-by-step explanation:

[tex]log \frac{ {c}^{7} }{ {a}^{6} {b}^{2} } \\ \\ = log {c}^{7} - log( {a}^{6} {b}^{2} ) \\ \\ = log {c}^{7} - (log {a}^{6} + log{b}^{2} )\\ \\ = 7 \: log {c} - (6 \: log {a}+ 2 \: log{b})\\ \\ = 7 \:( - 9) - [6 \: ( - 5)+ 2 \: (12)] \\ \\ = - 63 - [ - 30 + 24] \\ \\ = - 63 - [- 6] \\ \\ = - 63 + 6 \\ \\ = - 57[/tex]

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