ANSWER.
[tex]8[/tex]
EXPLANATION
We want to find the value of
[tex]\frac{5ab+8c}{11}[/tex]
if a=4, b=2, and c=6.
We substitute the values into the given relation to obtain;
[tex] = \frac{5 \times 4 \times 2 + 8 \times 6}{11} [/tex]
This will evaluate to,
[tex] = \frac{40 + 48}{11} [/tex]
We add the numerator to get,
[tex] = \frac{88}{11} [/tex]
We now cancel the common factors to get,
[tex] = 8[/tex]