Savanna G.

asked • 09/30/19

The answer to this question

The sum of the reciprocal of a number and 4/5 is 33/35. Find the number.

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Mark M. answered • 09/30/19

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Let x be the reciprocal of the number


Then, x + 4/5 = 33/35


x = 33/35 - 4/5 = 33/35 - 28/35 = 1/7


So, the number is 1/x = 7.


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Savanna G.

Jared is training for a cross country cycling race. He rode 62 miles in 2 hours. After the first 50 miles through the foothills, he increased his speed by 6 miles per hour as he rode on flat roads for the last 12 miles. Find Jared's cycling speed through the foothills.
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Mark M.

tutor
Distance = (Rate)(Time), so Time = Distance / Rate. 50 / x + 12 / (x+6) = 2. Solve for x.
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Savanna G.

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