Question

Multiplication and division equations. Solve and check.1. 3.5x = 6.652. 489 = n/2.33. Q/0.45 = 404. T(75) = 155. 4960 = 248m 6. 64 = n/1.9

Answer 1

$3.5x=6.65$

Divide both sides by 3.5:

$\begin{gathered} x=\frac{6.65}{3.5} \\ x=1.9 \\ ---- \\ 3.5(1.9)=6.65 \\ 6.65=6.65 \\ True \end{gathered}$

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$489=\frac{n}{2.3}$

Multiply both sides by 2.3:

$\begin{gathered} n=489\cdot2.3 \\ n=1124.7 \\ ------- \\ 489=\frac{1124.7}{2.3} \\ 489=489 \\ True \end{gathered}$

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$\frac{Q}{0.45}=40$

Multiply both sides by 0.45:

$\begin{gathered} Q=40\cdot0.45 \\ Q=18 \\ ------ \\ \frac{18}{0.45}=40 \\ 40=40 \\ True \end{gathered}$

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$4960=248m$

Divide both sides by 248:

$\begin{gathered} m=\frac{4960}{248} \\ m=20 \\ -------- \\ 4960=248(20) \\ 4960=4960 \\ True \end{gathered}$

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$64=\frac{n}{1.9}$

Multiply both sides by 1.9:

$\begin{gathered} n=64\cdot1.9 \\ n=121.6 \\ -------- \\ 64=\frac{121.6}{1.9} \\ 64=64 \\ True \end{gathered}$