Sure, let's simplify the expression step-by-step.
We start with the expression:
[tex]\[ 9s + \frac{d}{5} \][/tex]
Given the values:
[tex]\[ d = 10 \][/tex]
[tex]\[ s = -3 \][/tex]
Substitute the values of [tex]\( d \)[/tex] and [tex]\( s \)[/tex] into the expression:
[tex]\[ 9(-3) + \frac{10}{5} \][/tex]
First, perform the multiplication:
[tex]\[ 9 \times -3 = -27 \][/tex]
Then, perform the division:
[tex]\[ \frac{10}{5} = 2 \][/tex]
Now, add the results of the multiplication and division:
[tex]\[ -27 + 2 = -25 \][/tex]
So the simplified value of the expression [tex]\( 9s + \frac{d}{5} \)[/tex] is:
[tex]\[ -25 \][/tex]
Therefore, the correct answer is:
[tex]\[ -25 \][/tex]