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Dmitry_Shevchenko [17]
3 years ago
6

How do you simplify: 5(8 + 7) ? a. 75 b. 65 c. 47 d. 15

Mathematics
2 answers:
tia_tia [17]3 years ago
8 0

Answer:

C. 47

Step-by-step explanation:

5(8 + 7)

Expand the brackets. Brackets mean to multiply.

5(8 + 7)

5 * 8 + 7

= 40 + 7

= 47

VikaD [51]3 years ago
7 0
The answer is C.) 47
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You have 10 cups of a cleaning solution that is 10% white vinegar and 90% water. You want the mixture to be 50% white vinegar an
vichka [17]
Whatever% of anything is just (whatever/100) * anything.

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how much vinegar is there in "x" cups of 100% vinegar?  well (100/100) * x, or just "x".

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say after adding the "x" cups to the 10 cups, we end up with "y" cups, of 50% of vinegar.

how much is 50% of y?  well, (50/100) * y or 0.5y.

bearing in mind that x+10 = y, both cups amounts added up, and that x+1=0.5y, both vinegar amounts added up, thus 

\bf \begin{array}{lccclll}
&\stackrel{cups}{amount}&\stackrel{vinegar~\%}{amount}&\stackrel{vinegar~cups}{quantity}\\
\textit{100\% vinegar}&x&1.00&x\\
\textit{10\% cups}&10&0.10&1\\
------&------&------&------\\
mixture&y&0.5&0.5y
\end{array}
\\\\\\
\begin{cases}
x+10=\boxed{y}\\
x+1=0.5y\\
----------\\
x+1=0.5\left( \boxed{x+10} \right)
\end{cases}
\\\\\\
x+1=0.5x+5\implies 0.5x=4\implies x=\cfrac{4}{0.5}\implies x=8
4 0
3 years ago
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