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In order to find the average rate (speed) of a car travelling on a highway, the distance traveled is divided by the time: R=. If the distance is D= 25 miles and the time is T 5a²+10 ²+7+10 hours, find a simplified expression for the average rate of the car.

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Final answer:

To find the average rate (speed) of a car, divide the distance traveled by the time taken. Simplify the expression T = 5a²+10²+7+10 hours. Then use the expression R = D / T to find the average rate of the car.

Step-by-step explanation:

To find the average rate (speed) of a car, you need to divide the distance traveled by the time taken. In this case, the distance traveled is 25 miles and the time is given as T = 5a²+10²+7+10 hours.

To simplify the expression, you can perform the operations inside the parentheses first, then evaluate the exponent. This will give you a simplified expression for the average rate of the car.

First, simplify the expression inside the parentheses: T = 5a² + 10² + 7 + 10 = 5a² + 100 + 7 + 10 = 5a² + 117.

Then, the expression for the average rate of the car is R = D / T = 25 miles / (5a² + 117) hours.

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