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=(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=(n)/(2.3)`

Multiply both sides by 2.3:

`\begin{gathered} n=489\cdot2.3 \\ n=1124.7 \\ ------- \\ 489=(1124.7)/(2.3) \\ 489=489 \\ True \end{gathered}`

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`(Q)/(0.45)=40`

Multiply both sides by 0.45:

`\begin{gathered} Q=40\cdot0.45 \\ Q=18 \\ ------ \\ (18)/(0.45)=40 \\ 40=40 \\ True \end{gathered}`

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`4960=248m`

Divide both sides by 248:

`\begin{gathered} m=(4960)/(248) \\ m=20 \\ -------- \\ 4960=248(20) \\ 4960=4960 \\ True \end{gathered}`

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`64=(n)/(1.9)`

Multiply both sides by 1.9:

`\begin{gathered} n=64\cdot1.9 \\ n=121.6 \\ -------- \\ 64=(121.6)/(1.9) \\ 64=64 \\ True \end{gathered}`