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Semmy [17]
4 years ago
11

A worker’s total earning is $8.75 per hour plus a $10 tip; what are the hours worked if the worker earned $316.25 in one week?

Mathematics
1 answer:
Rus_ich [418]4 years ago
4 0
First, you will subtract the $10 tip from the total earned, leaving you with $306.25 (earned from hours work). Your wage is $8.75/hr, so if you divide 306.25/8.75, you’ll get 35. You worked 35 hours to earn $306.25, and then got a $10 tip, bringing up your total to $316.25.
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1).  2\frac{4}{5}

2).  \frac{1}{4}

Step-by-step explanation:

1). 1\frac{2}{5}*2

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1\frac{x2}{5} =\frac{1*5+2}{5} =\frac{7}{5}

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\frac{7}{5} *2

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Convert improper fractions to mixed numbers: \frac{14}{5}

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Write the problem in long division format:

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Divide 14 by 5 to get 2

\begin{matrix}\space\space\space\space\space\space\emptyspace2\space\space\space\space\space\space\space\space\space\space\space\space\\ 5\overline{|\smallspace14}\space\space\space\space\space\space\space\space\space\space\space\space\end{matrix}

Multiply the quotient digit (2) by the divisor 5

\begin{matrix}\space\space\space\space\space\space\emptyspace2\space\space\space\space\space\space\space\space\space\space\space\space\\ 5\overline{|\smallspace14}\space\space\space\space\space\space\space\space\space\space\space\space\\ \space\space\space\space\underline{\emptyspace1\emptyspace0}\space\space\space\space\space\space\space\space\space\space\space\space\end{matrix}

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\begin{matrix}\space\space\space\space\space\space\emptyspace2\space\space\space\space\space\space\space\space\space\space\space\space\\ 5\overline{|\smallspace14}\space\space\space\space\space\space\space\space\space\space\space\space\\ \space\space\space\space\underline{\emptyspace1\emptyspace0}\space\space\space\space\space\space\space\space\space\space\space\space\\ \space\space\space\space\space\space\emptyspace4\space\space\space\space\space\space\space\space\space\space\space\space\end{matrix}

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2\quad \mathrm{Remainder}\quad \:4

Convert to mixed number: Quotient\frac{Remainder}{Divisor}

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=2\frac{4}{5}

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\frac{4}{5}

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Multiply the quotient digit (0) by the divisor 5

\begin{matrix}\space\space\space\space\emptyspace0\space\space\space\space\space\space\space\space\space\space\space\space\\ 5\overline{|\smallspace4}\space\space\space\space\space\space\space\space\space\space\space\space\\ \space\space\space\space\underline{\emptyspace0}\space\space\space\space\space\space\space\space\space\space\space\space\end{matrix}

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