A rental car agency charges $16 per day plus 14 cents per mile to rent a certain car. Another agency charges $23 per day plus 10 cents per mile to rent the same car. How many miles per day will have to be driven for the cost of a car from the first agency to equal the cost of a car from the second agency?
a) 175 miles per day
b) 1750 miles per day
c) 97.5 miles per day
d) 975 miles per day ​

Answers

Answer 1

Answer:

Step-by-step explanation:

The answer is 175 miles per day. I guessed on it and it was right :D

Answer 2

The number of miles per day that will have to be driven for the total cost of of a car from the first agency to equal the total cost of a car from the second agency is 175.

What is an equation?

An equation is formed when two equal expressions are equated together with the help of an equal sign '='.

A rental car agency charges $16 per day plus 14 cents per mile to rent a certain car. Therefore, we can write,

Total charge for x miles = $16 + $0.14(x)

Another agency charges $23 per day plus 10 cents per mile to rent the same car. Therefore, we can write,

Total charge for x miles = $23 + $0.10(x)

Since it is needed to be found the number of miles that the car should be traveling so that the total cost from both the agencies is the same. Thus, equate the equation together,

$16 + $0.14(x) = $23 + $0.10(x)

16 + 0.14x = 23 + 0.10x

0.14x - 0.10x = 23 - 16

0.04x = 7

x = 7 / 0.04

x = 175 miles per day

Hence, the number of miles per day that will have to be driven for the total cost of of a car from the first agency to equal the total cost of a car from the second agency is 175.

Learn more about Equation here:

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Related Questions

Cathy is playing a game with a set of 24 cards equally divided into 4 colors (red, green, blue, and yellow). Find the probability of her randomly selecting a red card, not replacing it, and then selecting another red card.

Answers

Answer: 0.054

Step-by-step explanation:

Cathy is playing a game with a set of 24 cards equally divided into 4 colors. This means that each card has 24/4 = 6 colors.

The probability of selecting the first red card will be 6/24. The probability of selecting the second one will be 5/23 without replacement.

Therefore, probability of her randomly selecting a red card, not replacing it, and then selecting another red card will be:

= 6/24 × 5/23

= 30/552

= 0.054

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Answer:

(x+2) (x+1)

Step-by-step explanation:

if you re-distribute then you would get x*x 2*x x*1 and 2*1 simplified its x^2 2x x and 2, simplified again its x^2 + 3x + 2

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4.

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-1

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2

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Answer:

-6 and 6

Step-by-step explanation:

Answer:

I'm so sorry if this is wrong but from what I remember being taught it's -5,1. if not then -2,6

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Answers

Answer:

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Which values for A and B will create infinitely many solutions for this system of equations?

A x minus y = 8. 2 x + y = B.
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A = 2, B= negative 8
A = negative 2, B= negative 8

Answers

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answer is D sorry about  the other guy

Step-by-step explanation:

Answer:

d

Step-by-step explanation:

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answer is 128

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Answer:

the slope is -4/3

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Step-by-step explanation:

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linear

Step-by-step explanation:

linear, that would be letter -

7 is increased to 21

Answers

Answer:

3

Step-by-step explanation:

Because 21 devided by 7 is 3

Write the equation of the line that passes through point (-10, -5) and is parallel to the line represented by the equation y = -2x + 7 in slope-intercept form.

Answers

Answer:

y = 2x + 15

Step-by-step explanation:

y = 2x + 7           (-10,-5)

find your b/ y-intercept

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plug in your (x,y) points

-5 = 2(-10) + b

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Answers

Answer:

The ans is 15

Step-by-step explanation:

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Answers

Answer: 6a + 13

Step by step

2a + 8 + 4a + 5

Combine like terms:

= 2a + 8 + 4a + 5

= (2a + 4a) + (8 + 5)

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Answers

Answer:

(0,4)

Step-by-step explanation:

Jessica school bus stop is 60 yards from her house.For a normal school week, how many feet will Jessica walk to and from the bus stop?

A 300 feet

B 600 feet

C 900 feet

D 1,800 feet

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Answers

Answer:

d

Step-by-step explanation:

school is only 5 days a week and if she walks 60 yards to the bus stop and 60 yards back from the bus stop than she walks a total of 120 yards a day

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600x3=1800

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Answer:

Step-by-step explanation:

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Answer:

YesYesNoNoYesYesNoYesNoNoYesNoYesNoYesYesNoYesYesNo

Step-by-step explanation:

A function does not have any repeating domains (x-coordinates).

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Write 60/8 as a mixed number. Give your answer in its simplest form.

Answers

Answer:

60 above the division line is called the numerator and 8 below the divison line is called the denominator.

We call the line that separates 60 and 8 the division line. It is also known as the fraction bar or vinculum.

60/8 is an improper fraction because the numerator is greater than the denominator.

A mixed number is an integer (whole number) and a proper fraction.

Step-by-step explanation:

Answer: 7/ 1/2

Step 1: Find the whole number

We first want to find the whole number, and to do this we divide the numerator by the denominator. Since we are only interested in whole numbers, we ignore any numbers to the right of the decimal point.

60/8= 7.5 = 7

Now that we have our whole number for the mixed fraction, we need to find our new numerator for the fraction part of the mixed number.

Step 2: Get the new numerator

To work this out we'll use the whole number we calculated in step one (7) and multiply it by the original denominator (8). The result of that multiplication is then subtracted from the original numerator:

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We've now simplified 60/8 to a mixed number. To see it, we just need to put the whole number together with our new numerator and original denominator:

7

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Step 4: Simplifying our fraction

In this case, our fraction (4/8) can be simplified down further. In order to do that, we need to calculate the GCF (greatest common factor) of those two numbers. You can use our handy GCF calculator to work this out yourself if you want to. We already did that, and the GCF of 4 and 8 is 4.

We can now divide both the new numerator and the denominator by 4 to simplify this fraction down to its lowest terms.

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Answers

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Answers

Answer:

Step-by-step explanation:

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Answers

Answer:

x=20

Step-by-step explanation:

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Answers

Answer:

1: 2, 2: 3

Step-by-step explanation:

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Answers

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Step-by-step explanation:

Answer:

40

Step-by-step explanation:

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A. K'(0, 2), L'(6, 9), M'(12, 2)
B. K'(3, 5), L'(5, 12), M'(7, 5)
C. K'(0, 2), L'(2, 27), M'(12, 2)
D. K'(0, 6), L'(6, 27), M'(12, 6)

Answers

Answer: Choice D

K'(0, 6), L'(6, 27), M'(12, 6)

=============================================

Explanation:

Point K is located at (0,2)

If we multiply each coordinate by 3, then K moves to a location that is 3 times further away in relation to the origin. It moves to K'(0,6)

We apply this same scale factor (3) to each coordinate of the other 2 points

L(2,9) moves to L'(6,27) after multiplying both parts by 3

M(4,2) moves to M'(12,6) after multiplying both parts by 3

Triangle KLM is similar to triangle K'L'M', but the two triangles are not congruent (since K'L'M' is larger in size).

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