Question

What value of h makes the equation true?

−1/8(2h+4)+1/2=−7/4



Drag and drop the correct number in the box.
h =

a. 7
b. 25/6
c. 7/16
d.25

Answer 1

The value of h that satisfies the equation −1/8(2h+4)+1/2=−7/4 is 7. This is found by distributing the −1/8 across the terms in the parentheses, combining like terms, and isolating h to solve the equation. The correct answer is h = 7.

Step-by-step explanation:

To find the value of h that makes the equation true:

−1/8(2h+4)+1/2=−7/4

We follow these steps:

1. Multiply each term inside the parentheses by −1/8, to distribute the constant across the parentheses.
2. Add 1/2 to both sides to isolate the term containing h on one side of the equation.
3. Simplify the equation and solve for h.

Step by step calculation:

1. −1/8 * 2h + −1/8 * 4 + 1/2 = −7/4
2. −1/4h − 1/2 + 1/2 = −7/4
3. −1/4h = −7/4
4. Multiply both sides by −4 to get rid of the fraction on the left side.
5. h = (−7/4) * (−4) = −7

The correct answer is h = 7.