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evablogger [386]
2 years ago
14

Alexandra worked 5 hours on Monday, 4.5 hours on Tuesday, and 2.5 hours on Wednesday. Which is closest to the mean number of hou

rs she worked over the three-day period?
Mathematics
1 answer:
Lilit [14]2 years ago
7 0

5 + 4.5 + 2.5 = 12 ÷ 3 = 4

how I know mean is when you add each together then divide it by how many things you added together so we added 3 things together so just divide your answer by 3.

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\stackrel{mixed}{5\frac{5}{6}}\implies \cfrac{5\cdot 6+5}{6}\implies \stackrel{improper}{\cfrac{35}{6}} \\\\[-0.35em] ~\dotfill\\\\ \cfrac{7}{3}x~~ = ~~5\frac{5}{6}\implies \cfrac{7}{3}x~~ = ~~\cfrac{35}{6}\implies 42x=105\implies x=\cfrac{105}{42} \\\\\\ x=\cfrac{21\cdot 5}{21\cdot 2}\implies x=\cfrac{21}{21}\cdot \cfrac{5}{2}\implies x=1\cdot \cfrac{5}{2}\implies x=2\frac{1}{2}

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