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pentagon [3]
3 years ago
6

David wants to rent a car for one day. She contacted two rental car companies. The first company charges $100 a day plus $1 a mi

le. The second company charges $75 a day plus $2 a mile. At many miles will the total cost for both companies be the same?
Mathematics
1 answer:
Shkiper50 [21]3 years ago
7 0

Answer:

25 miles.

Step-by-step explanation:

First, it would help to write out the problem as equations.

The first company:   1x+100

The second company: 2x+75

Where 'x' is the number of miles.

Then, just solve for the two equations when they equal each other.

1x+100=2x+75    Equation

100=x+75            Subtract 1x from both sides.

25=x                    Subtract 75 from both sides.

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Answer:

A) $5 × 25 = $75

B) 37.69%

Step-by-step explanation:

The dimension of five dollar bill:

Length = 155.956mm

Width = 66.294

Volume of box being occupied by 5 dollar bill = 258,473.68mm^3

Dimension of box :

156 x 66.3 x 66.3 mm

If volume of the 5—dollar bill is 258,473.68mm^3

Then, the Thickness of the five dollar stack equals :

Volume = Length × width × height

258,473.68mm^3 = 155.956mm × 66.294 × height

258,473.68 = 10338.947064 × h

h = (258473.68/10338.947064)

h = 25.000000003288 = 25

Therefore, the amount of money in the box is:

$5 × 25 = $75

Percentage of box volume taken up by $5 bill

Volume of the box:

156 x 66.3 x 66.3 mm = 685727.6399mm^3

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=37.69%

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3 years ago
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