Respuesta :

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