Answer:
A
Step-by-step explanation:
So we have the equation:
[tex]\frac{1}{2}(5-2h)=\frac{h}{2}[/tex]
First, let's multiply both sides by 2 to get rid of the fractions. The 2s will cancel. So:
[tex]2(\frac{1}{2}(5-2h))=2(\frac{h}{2})[/tex]
Simplify:
[tex]5-2h=h[/tex]
Add 2h to both sides:
[tex]5=3h[/tex]
Divide both sides by 3:
[tex]h=5/3[/tex]
Change into mixed fractions:
[tex]h=1\frac{2}{3}[/tex]
So, our answer is A.
And we're done!
To check, substitute 5/3 back in:
[tex]\frac{1}{2}(5-2(5/3))=\frac{(5/3)}{2}[/tex]
Multiply and divide:
[tex]\frac{1}{2}(5-10/3)=\frac{5}{6}[/tex]
Subtract on the left:
[tex]\frac{1}{2}(5/3)=\frac{5}{6}[/tex]
Multiply:
[tex]\frac{5}{6}\stackrel{\checkmark}{=}\frac{5}{6}[/tex]
So, our answer is correct!
