Which answer best describes the solution to the equation

2 answers:

7 0

The answer is B.
3m - 9 = 9 + 3m, Add the 9s,
3m = 18 + 3m, subtract the 3m's,
0 = 18, 0 does not equal 18, so there are no solutions.

Ulleksa [173]3 years ago

5 0

3m - 9 = 3m + 9

The two sides of the equal sign are not equal, therefore it has no solutions.

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How much water should be added to 3 gallons of pure alchohol in order to obtain a solution that is 15% alchohol?

lidiya [134]

say we're going to add "x" gallons of water, now how many gallons of alcohol is in pure water? well 0%, and 0% of "x" is (0/100) * x = 0.

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$\begin{array}{lcccl} &\stackrel{solution}{quantity}&\stackrel{\textit{\% of }}{amount}&\stackrel{\textit{gallons of }}{amount}\\ \cline{2-4}&\\ \textit{pure water}&x&0.00&0\\ \textit{pure alcohol}&3&1.00&3\\ \cline{2-4}&\\ mixture&x+3&0.15&0.15(x+3) \end{array} \begin{array}{llll} \\[3em] \leftarrow \textit{this amount}\\\\ \leftarrow \textit{must be equal to this one} \end{array} \\\\\\ 3 = 0.15(x+3)\implies 3=0.15x+0.45\implies 2.55=0.15x \\\\\\ \cfrac{2.55}{0.15}=x\implies 17=x$