The answer is the option A, which is: A. [tex] 6 [/tex]
The explanation for this problem is shown below:
1. You have the following equation:
[tex] 3.5(2h+4.5)=57.75 [/tex]
2. Apply the distributive property and solve for [tex] h [/tex], as following:
[tex] 7h+15.75=57.75\\ 7h=42\\ h=\frac{42}{7} \\ h=6 [/tex]
As you can see, the correct answer is the option mentioned before.
The equation given to us is: [tex] 3.5(2h+4.5)=57.75 [/tex]
TO solve for [tex] h [/tex], first divide both sides by 3.5
[tex] 2h+4.5=\frac{57.75}{3.5}=16.5 [/tex]
Subtracting 4.5 from both sides we get:
[tex] 2h=16.5-4.5=12 [/tex]
Finally, dividing both sides by 2, we will get the value of h as:
[tex] h=\frac{12}{2}=6 [/tex]
Therefore, Option A is the correct answer.
