Question

For the equation "Solve the given formula for the indicated variable: S = 5Lw + 5wh + 6hL, for h," provide the solution.

Answer 1

To solve the equation S = 5Lw + 5wh + 6hL for h, rearrange the terms to isolate h, factor h out, and then divide by the remaining coefficient to find that h = (S - 5Lw) / (5w + 6L).

Step-by-step explanation:

For solving the equation S = 5Lw + 5wh + 6hL for the variable h. To do this, we first need to bring all terms involving h to one side of the equation:

S - 5Lw = 5wh + 6hL

We can then factor out h on the right-hand side:

S - 5Lw = h(5w + 6L)

Finally, to solve for h, we divide both sides of the equation by 5w + 6L:

h = (S - 5Lw) / (5w + 6L)

The solution for h in the equation is therefore h = (S - 5Lw) / (5w + 6L).