Emilie rides her bike x miles before she gets a flat tire. She walks 1/3mile to a bus stop and then takes a bus for 2 1/2miles. Which expression shows how many miles Emilie travels in all?

Given :

Emilie rides her bike x miles before she gets a flat tire.

She walks 1/3 mile to a bus stop and then takes a bus for 2 1/2 miles.

To Find :

Which expression shows how many miles Emilie travels in all.

Solution :

We know, total distance covered is given by sum of all the distance she travelled.

Distance covered, D = x + 1/3 + 2 1/2

D = x + 1/3 + 5/2

D = (6x + 2 + 15)/6

D = (6x + 17)/6

Therefore, total distance travelled by Emilie is (6x + 17)/6 .

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step-by-step explanation: