Question #377c3

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Answer 1 · 2017-12-12T19:01:06

$g = 10 or g = \frac{1}{10}$ $g= 10 or g=1/10$ depending on what is meant in the question,

It is not clear whether the question means:
$4 = \frac{2 g}{5} or 4 = \frac{2}{5 g}$ $4 = (2g)/5 " "or" "4= 2/(5g)$

Let's consider both.

$4 = \frac{2 g}{5} \leftarrow \times \frac{5}{2}$ $4 = (2g)/5" "larr xx 5/2$ on both sides

$4 \times \frac{5}{2} = \frac{2 g}{5} \times \frac{5}{2}$ $4 xx5/2 = (2g)/5 xx 5/2$

$10 = g$ $10 =g$

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Or

$4 = \frac{2}{5 g} \leftarrow$ $4= 2/(5g)" "larr$ invert both sides

$\frac{1}{4} = \frac{5 g}{2} \leftarrow \times \frac{2}{5}$ $1/4 = (5g)/2" "larr xx 2/5$ on both sides

$\frac{1}{4} \times \frac{2}{5} = \frac{5 g}{2} \times \frac{2}{5}$ $1/4 xx2/5 = (5g)/2 xx 2/5$

$\frac{1}{10} = g$ $1/10 = g$