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Gabi wants to drive to and from the airport. She finds two companies near her that offer short - term car rental service at different rates and then sets up the equation 0.75m+5=0.5m+9 find out after how many miles, m, the companies will charge the same amount . Use gabis equation to find out after how many miles , m, the companies will charge the same amount.

Respuesta :

texaschic101
0.75m + 5 = 0.5m + 9
0.75m - 0.5m = 9 - 5
0.25m = 4
m = 4 / 0.25
m = 16 <=== at 16 miles, the companies will charge the same amount

Answer:

16 miles.

Step-by-step explanation:

To solve our given problem, we need to solve the given equation [tex]0.75m+5=0.5m+9[/tex], where m represents number of miles.

[tex]0.75m-0.5m+5=0.5m-0.5m+9[/tex]

[tex]0.25m+5=9[/tex]

[tex]0.25m+5-5=9-5[/tex]

[tex]0.25m=4[/tex]

[tex]\frac{0.25m}{0.25}=\frac{4}{0.25}[/tex]

[tex]m=16[/tex]

Therefore, after 16 miles both companies will charge the same amount.

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