Justify Reasoning Determine whether 3x + 12 + x is equivalent to 4(3 + x). Use properties of operations to justify your answer.

1 answer:

4 0

For 3x + 12 + x, do like terms:
4x + 12
For 4(3 + x), multiply
12 + 4x
They are both the same, just written in different ways. One is adding like terms and the other is multiplying with parentheses. Even though it may be switched around, it is still the same.

Hope this helps :)

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And when the boat is going downstream, is not going "b" fast either, because the current is now adding to speed to it, so is really going " b + c " fast.

The time it took one way, is the same time it took back, 4 hours each way.

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$\bf \begin{array}{lccclll}
&\stackrel{miles}{distance}&\stackrel{mph}{rate}&\stackrel{hours}{t}\\
&------&------&------\\
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Downstream&32&b+c&4
\end{array}
\\\\\\
\begin{cases}
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32=4(b+c)\implies \frac{32}{4}=b+c\implies 8=b+c\\
--------------------\\
8=\left(\boxed{5+c} \right)+c
\end{cases}
\\\\\\
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Step-by-step explanation:

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