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Leokris [45]
3 years ago
12

One car rental agency charges $0.29 per mile plus a $10 weekly fee. Another rental agency charges $.0.35 per mile with no fee. Y

ou need to rent the car for 3 weeks. Write and solve an equation to find the number of miles for which both agencies will charge the same.
Mathematics
1 answer:
VLD [36.1K]3 years ago
5 0

Answer:

166.67 miles.

Step-by-step explanation:

let the number of mile for which the cost for both car rental be same is x mile

For first car rental

weekly fees charged = $10

cost of 1 mile = $0.29

cost of x miles = x*cost of 1 mile = $0.29x

total money charged by first car rental = $10 + $0.29x

For other car rental

weekly fees charged = 0

cost of 1 mile = $0.35

cost of x miles = x*cost of 1 mile = $0.35x

total money charged by other car rental = $0.29x

_______________________________________

since we have to find miles for which charges are same

thus

total money charged by first car rental  = total money charged by other car rental

10 + 0.29x = 0.35x --------------------equation required

=> 10 = 0.35x - 0.29x

=> 10 = 0.06x

=> x = 10/0.06 = 166.67

Thus, the number of miles for which both agencies will charge the same is 166.67 miles.

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siniylev [52]

Answer:

The ratio of the area of the school banner to the area of the sign is <u>1944 cubic inches : 192.61 cubic inches.</u>

Step-by-step explanation:

Given:

A rectangular school banner has a length of 54 inches and a width of 36 inches. A sign is made that is similar to the school banner and has a length of 17 inches.

Now, to find the ratio of the area of the school banner to the area of the sign.

Dimensions of school banner :

Length = 54 inches.

Width = 36 inches.

Dimension of school sign:

Length = 17 inches.

So, to we find the width of sign by using cross multiplication method:

Let the width be x.

So, 54 is equivalent to 36.

Thus, 17 is equivalent to x.

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By cross multiplying we get:

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Dividing both sides by 54 we get:

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Thus, the width of sign = 11.33 inches.

Now, to get the ratio of the area of the school banner to the area of the sign:

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= 54\times 36:17\times 11.33

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Read 2 more answers
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