Question

Roberto wrote a sentence that describes an equation.

Half of a number is 45.

Which choice shows Roberto’s equation and its solution?
2 x = 45; x = 90
StartFraction 45 Over 2 EndFraction = x; x = 22.5
StartFraction x Over 2 EndFraction = 45; x = 22.5
StartFraction x Over 2 EndFraction = 45; x = 90

Answer 1

Roberto's sentence "Half of a number is 45" can be translated into the equation:

\(\frac{x}{2} = 45\)

To solve for \(x\), you would multiply both sides of the equation by 2:

\[
x = 45 \times 2
\]
\[
x = 90
\]

So the correct choice that shows Roberto’s equation and its solution is:

\(\frac{x}{2} = 45; x = 90\)