Rapid Rental Car charges a $40 rental fee, $25 for gas, and $0.65 per mile driven. For the same car, Capital
Cars charges $55 for rental and gas and $0.75 per mile.
Part 1 out of 2
For how many miles is the rental cost at both companies the same?
The rental costs at both companies are the same at
miles.

Answers

Answer 1
Equation

40 + 15 + 0.25x = 45 + 0.35y

Solution

55 + 0.25x = 45 + 0.35y The only way you can do this is to assume that x and y are equal

subtract 45 from both sides

55 - 45 + 0.25x = 0.35x

10 + 0.25x = 0.35x Subtract 0.25x from both sides.

10 = 0.35x - 0.25x

10 = 0.1x Divide by 0.1

10/0.1 = x

x = 100 So if each car goes 100 miles, it should turn out to be the same no matter which company gets the rental.

Let's see if that is true.

Cost for the first company = 40 + 15 + 0.25x = 55 + 25 = 80 dollars.

Cost for the second company = 45 + 0.35x = 45 + 35 = 80 dollars.

Conclusion

Both rentals charge the same total amount when each car is driven 100 miles.

The charge is 80 dollars.

Hope this helped! :)


Related Questions

An equation is shown below: 4c + 2(x-3) = 4x + 2x - 11 Part A: solve the equation and write the number of solutions. Show all the steps. Part B: Name one property you used to solve this equation.

Answers

Part A: first multiply 2 by x and -3 → combine all like terms → Add 6 on both sides → subtract 6x from both sides.

Your final answer should be -5

step by step:    4x + 2(x-3) = 4x + 2x - 11

                          4x +2x -6 = 4x + 2x - 11

                                            6x -6 = 6x - 11

                                            6x = 6x -11 +6

                                            6x = 6x -5

                                            6x-6x= -5

                                            0 = -5

Part B: Add all like terms.

Hope this helps! :)

There is NO SOLUTION. We used the distributive property to distribute the 2(x-3).

Explanation:
4x+2(x-3)=4x+2x-11
4x+2x-6=4x+2x-11 Distribute 2 by x-3
6x-6=6x-11 Combine Like Terms
-6=-11 Subtract Weaker X
-6≠-11 Find Answer

-6 does not equal -11, so there is no solution to this equation.

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me!! whats your favorite song?

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yea!! also i think you and ur pfp r really cool!! :))

Step-by-step explanation:

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i think i answered this already

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Please help ASAP with these problems!
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Answer:

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Step-by-step explanation:

you gotta write that out again because.

Luke is on a diving board 8 feet above the water. His dive takes him down 10 feet. Where is Luke at the end of his dive before he comes back to the surface of the water?

Answers

Answer:

2 feet lower than the surface of the water

Step-by-step explanation:

8-10=-2

Answer:

Step-by-step explanation:

8 feet below water

Help me

Which quotient matches the description for 525÷25

using partial quotients?

Step1: Subtract (10×25)

from 525 to get 275.

Step 2: Subtract (10×25)

from 275 to get 25.

Step 3: Subtract (1×25)

from 25 to get 0.

Step 4: Add the partial quotients.

Answers

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A cyclist rode 3.75 miles in 0.3 hours. How much of an hour will it take her to go 4.5 miles?

Answers

Answer:

2.05

Step-by-step explanation:

Answer:

It will take her 0.75 an hour to go 4.5 miles.

Step-by-step explanation:

I did 4.5-3.75=0.75. To check if that is right you would need to do 3.75+0.75=4.5.

Select two ratios equivalent to the ratio of white socks to brown socks?
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28/20
35/25
28/21

Answers

28/21

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Hope this helps :)
The answer will be 28/21

PLSS EXLAIN ILL GVE UA A BRAINLYEST

Answers

Answer:

1 inch represents 1/3 foot

Step-by-step explanation:

Scale = 51 inches

Actual = 17 feet or 204 inches

Use a ratio to compare the two 204:51 or 204/51 = 4

This means that the actual size is 4 times the scale size

Take 1 inch in the scaled size and multiply it by 4 to get the actual size to get 4 inches

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Graph the inequality x≥1.

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Answer:

look at the file

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Answer:

Vertical.

Horizontal.

Diagonal

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Vertical Horizontal and Diagonal

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Step-by-step explanation:

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Answer:

7[tex]\frac{1}{2}[/tex] cups of water

Step-by-step explanation:

First you need to transfer 3 pints to cups which would be 6 cups. There is 1 pint in two cups. Next, you are going to add  the 6 cups to the 1[tex]\frac{1}{2}[/tex] cups, getting the cups of water Ian drinks :)

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Answer: the first one is 84

Step-by-step explanation:

the second one is 8

James bikes for 2.25 hours at an average rate of 10 ½ miles per hour. Tim bikes the same distance at an average rate of 12 ⅖ miles per hour. How long does Tim take to complete the ride

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Step-by-step explanation:

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A store sells two kinds of candles,scented candles and unscented candles. The candles burn at different rates which kind of candle burns more in one hour? How much more per hour? The scented one burns 1/8inch an hour 1/4 hour and the unscented one burns 1/9 inch in 1/3 hour. SHOW WORK!!!!

Answers

Step-by-step explanation:

The first thing we must observe is that the hourly rate for each candle is:

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Answer:

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(1/3) inches / hour.

Answer:

You look at the numbers

Step-by-step explanation:

1/8inch per hour

Find the sum.


1/3+1/3+1/8


A. 3/14

B. 3/11

C. 19/24

D. 6/8

Answers

Answer:

C - 19/24

Step-by-step explanation:

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[tex]\frac{8}{24}+ \frac{8}{24}+ \frac{3}{24}[/tex]

Add Numerators Across

[tex]\frac{16}{24}+ \frac{3}{24}[/tex]

[tex]\frac{19}{24}[/tex]

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A.{-3, -1, -3, 4}

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Answers

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Answers

Answer:

I'd say, the more thrust it has the longer its trajectory will be.

Step-by-step explanation:

Answer:

The relative magnitude and direction of the forces determines the flight trajectory of the rocket. At launch, the thrust of the rocket engine is greater than the weight of the rocket and the net force accelerates the rocket away from the pad. Unlike full scale rockets, model rockets rely on aerodynamics for stability. I hope that helps.

Step-by-step explanation:

MATCHING: Compare the fractions from Column B to the given percent's in Column A. Match the fractions that are the closest values of the given percent's. Not all fractions will be used.
Column A
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2. ___ 23%
3. ___ 98%
4. ___ 67%
5. ___ 34%
6. ___ 12%
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8. ___ 76%
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H. 3/4
I. 9/10
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Answers

Answer:

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Step-by-step explanation:

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Answer:

with what

Step-by-step explanation:

with what theres no pic or anything byw

Answer:

Whats the question?

Step-by-step explanation:

if there is no pic or math promblom or anything we cant help.

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Answers

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A(n) __________ is a combination of more than one inequality
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Answers

Answer:

A compound inequality is a sentence with two inequality statements joined either by the word “or” or by the word “and.” “And” indicates that both statements of the compound sentence are true at the same time. It is the overlap or intersection of the solution sets for the individual statements.

Step-by-step explanation:

Which choice best represents the surface area of the triangular prism shown below?

Question 3 options:

264 square inches


240 square inches


284 square inches


260 square inches

Answers

Answer: 264

Step-by-step explanation:

The answer is 264sq in

a and b must have a product of -48

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Answers

Answer:

-2 is a and b=24 is b

Step-by-step explanation:

-2-24=-26, which is the least u can get.

The answer is B hopefully it will be correct
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