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4 years ago

Justify each step. 3•(10•12)=3•(12•10) =(3•12)•10 =36•10 =360

Mathematics

1 answer:

ziro4ka [17]4 years ago

5 0

Answer:

3•(10•12)=3•(12•10) = 360 = True

Step-by-step explanation:

left-hand side Simplify the following:

3×10×12

10×12 = 120:

3×120

3×120 = 360:

Answer: 360

______________________

Right-hand side:

Simplify the following:

3×12×10

Hint: | Multiply 12 and 10 together.

12×10 = 120:

3×120

Hint: | Multiply 3 and 120 together.

3×120 = 360:

Answer: 360

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4 years ago

A gift shop sells 140 wind chimes per month at $90 each. The owners estimate that for each $5 increase in price, they will sell

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Answer: $95

Step-by-step explanation:

Te new price will be 90 + 5x, if the price increases "x" times

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$\begin{aligned}&\text {Revenue, } \mathrm{R}(\mathrm{x})=(90+5 \mathrm{x})(140-7 \mathrm{x}) \\&R^{\prime}(x)=5(140-7 x)-7(90+5 x) \\&R^{\prime}(x)=700-35 x-630-35 x \\&R^{\prime}(x)=70-70 x=0 \\&70 x=70 \\&x=1\end{aligned}$

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3 years ago