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Question
a satellite makes 4 revolutions of the earth in one day. how many revolutions would it make in 6\\(\frac{1}{2}\\) days? a 16 revolutions b 26 revolutions c \\(\frac{8}{13}\\) revolutions d \\(\frac{11}{15}\\) revolutions
Step1: Convert the mixed number to an improper fraction
$6\frac{1}{2}=\frac{6\times2 + 1}{2}=\frac{13}{2}$
Step2: Calculate the number of revolutions
Since the satellite makes 4 revolutions in one day, in $\frac{13}{2}$ days, the number of revolutions is $4\times\frac{13}{2}$.
$4\times\frac{13}{2}=\frac{4\times13}{2}=2\times13 = 26$
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B. 26 revolutions