Carlton ran 7 3/4 miles in 52 7/10 minutes. what is his average pace per minute?

  5/34 mi/min

Step-by-step explanation:

To find miles per minute, divide miles by minutes:

  (7 3/4 mi)/(52 7/10 min) = (31/4 mi)/(527/10 min)

  = (31/4)(10/527) mi/min = 310/2108 mi/min = 5/34 mi/min

Carlton's average pace was 5/34 miles per minute.

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Since the given numbers are mixed numbers, we assume this is supposed to be a problem in fractions. Hence we have given the answer as a fraction. Its decimal value is about 0.14706. It is a repeating decimal with a 16-digit repeat.

You may have to do a little work to reduce the fraction 310/2108 to 5/34. You have to factor out a factor of 62. The numerator is 310=2·5·31, so that gives you a short list of factors to try with the denominator.

constant acceleration- a

constant velocity- c

no velocity or acceleration- b

explanation:

for body moving with a constant acceleration, the rate of change of displacement changes over time. this is proven by the increasing gradient of the curve (a) against time.

a body that is moving at constant velocity covers equal distances over equal periods of time, thus the straight line with a constant gradient c.

a stationary body   covers no displacement as time elapses. thus the flat line with   zero gradient.