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-.Ari rented a car for the week for a flat fee of $109 plus $0.13 for each mile drive. If the total rentalcharge was $142.15 (excluding taxes), how many miles did Ari drive during the week?

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\begin{gathered} \text{let } \\ x=\text{number of miles covered} \\ \text{flat fee for a week = }109\text{ dollars} \\ \text{Total rental charge = 142.15 dollars} \\ 142.15=109+0.13x \\ 142.15-109=0.13x \\ 33.15=0.13x \\ \text{divide both sides by 0.13} \\ x=(33.15)/(0.13) \\ x=255miles \end{gathered}

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