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givi [52]
2 years ago
7

15) Mr. and Mrs. Rupe and their 4 sons are taking a 2500 mile camping trip across country. They plan to spend $120 for campsites

per
day. The camper rental fee is $65 a day. While pulling the camper their car has a fuel economy of 8 miles per gallon. They estimate $85
per day for food for the 5-day trip. If gasoline is $1.92 per gallon how much will their trip cost?
O a.) $1950
Ob.) $1850
Oc.) $2950
Od.) $1750
Mathematics
1 answer:
vovikov84 [41]2 years ago
3 0

Answer:

A $1950

Step-by-step explanation:

Food, camper rental and camp site will cost 1350

(120 + 65 + 85)5 = 1350

The trip is 2500 and the car gets  8 miles per gallon  2500/8 = 31.5.  The will need to buy 31.5 gallons of gas at 1.92 a gallon or $600 (31.5 x 1.92).

When we add the cost of gas to the other costs, we get a total of 1950 (1350 + 600)

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Select the equation that has the same solution as the equation below.<br> 5^(2x-5)= 125
Ahat [919]

The equation that has the same solution as 5^{(2x-5)} = 125 is: C.64 = 2^{(3x - 6)}

<h3>How to Solve Equations having Exponents</h3>
  • To solve such, simplify the bases so that the base on the right equals the base on the left.
  • Then solve the equation for the variable.

Given:

5^{(2x-5)} = 125\\\\5^{(2x-5)} = 5^3\\

  • The bases will cancel out

2x - 5 = 3

  • Solve for x

2x = 3 + 5

2x = 8

x = 4

The solution of 5^{(2x-5)} = 125 is 4.

Thus:

64 = 2^{(3x - 6)}\\\\2^6 = 2^{(3x - 6)}\\\\6 = 3x - 6\\6 + 6 = 3x\\12 = 3x\\4 = x\\x = 4

Therefore the equation that has the same solution as 5^{(2x-5)} = 125 is: C.64 = 2^{(3x - 6)}

Learn more about equations with exponents on:

brainly.com/question/11832081

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