Answer: C
Step-by-step explanation:
Given
[tex]\frac{5}{4}(a-8)=\frac{2}{3}[/tex]
Multiply both sides by (4/5)
[tex]\frac{5}{4}(\frac{4}{5})(a-8)=\frac{2}{3}(\frac{4}{5})[/tex]
[tex]a-8=\frac{8}{15}[/tex]
Add 8 on both sides
[tex]a-8+8=\frac{8}{15}+8[/tex]
[tex]a=\frac{8}{15} + \frac{120}{15}[/tex]
[tex]a=\frac{128}{15}[/tex]
[tex]a=8\frac{8}{15}[/tex]
Hope this helps!
Please let me know if you have any questions