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Thomas's shifts vary in length. He works an 8-hour shift half of the time, a 10-hour shift a third of the time, and a 12-hour shift a sixth of the time. What percent of his workdays does Thomas work more than 8 hours? Explain.

Answer :

Answer:

50% of the time

by adding the number of times he does a 10-hour shift and the number of times he does a 12-hour shift, we get 1/2 which is equal to 50%

Step-by-step explanation:

the shifts that are greater than 8 are the 10 and 12 hours shifts

he does the 10 hour shift 1/3 of the time and the 12 hour shift 1/6 of the time

add both fractions

[tex]\frac{1}{3}[/tex] + [tex]\frac{1}{6}[/tex]

[tex]\frac{2+1}{6}[/tex] = [tex]\frac{3}{6}[/tex] = [tex]\frac{1}{2}[/tex]

to convert to percentage, multiply 1/2 by 100

1/2 x 100 = 50%

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