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olga55 [171]
3 years ago
7

A) Use numbers 7,5,6 and 3, only once each, to create an expression that equals 75. You may use addition, subtraction, multiplic

ation, and/or division, but you must use parentheses.
Answer: (7+5)x6+3

b) Now use the Distributive Property to write an equivalent expression without parentheses. (You may use the numbers more than once or use different digits for this part only)

Answer:
Mathematics
1 answer:
bearhunter [10]3 years ago
6 0
6(7+5) + 3 =
42 + 30 + 3 =      <<<< This one is the equivalent expression

If you wanted to continue and solve...

72 + 3 =
75
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\begin{gathered} 3x+2y-2y=12-2y \\ 3x=12-2y \\ \frac{3x}{3}=\frac{12-2y}{3} \\ x=\frac{12}{3}-\frac{2}{3}y \\ x=4-\frac{2}{3}y\text{ \lparen eq. 3\rparen} \end{gathered}

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\begin{gathered} 5(4-\frac{2}{3}y)-y=7 \\ 5\cdot4-5\cdot\frac{2}{3}y-y=7 \\ 20-\frac{10}{3}y-y=7 \\ 20-\frac{13}{3}y=7 \\ 20-\frac{13}{3}y-20=7-20 \\ -\frac{13}{3}y=-13 \\ (-\frac{3}{13})\cdot-\frac{13}{3}y=(-\frac{3}{13})\cdot-13 \\ y=3 \end{gathered}

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