Daniella C.

asked • 10/08/16

math word problem

the daily cost of renting a car is $30 plus $0.20 per mile traveled. If paul paid $83.60 for a day^s rental, how many miles did he travel?

1 Expert Answer

By:

Daniella C.

Can you help me with this one too. A triangle has a perimeter of 43 inches. Find the three sides if one side is 18 inches larger than the smallest and the third side is three times the smallest. 
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10/08/16

Michael A.

tutor
Ok. The perimeter of any polygon is the sum of the measurements of each of its sides. A triangle has three sides. Let's allow x to equal the smallest side. Then the third side = 3x. The remaining side can be expressed as x + 18. We know the perimeter of this triangle is 43. So we have:
 
43 = x + (x + 18) + 3x     We need to combine like terms
43 = 2x + 18 + 3x
43 = 5x + 18
25 = 5x
x = 5 in.
 
The 3rd side is 3x = 3 * 5 = 15 in.
The remaining side is x + 18 = 5 + 18 = 23 in.
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10/08/16

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