Solve for h. (Simplify your answer. Use integers or fractions for any numbers in the expression.)
A=5/2(h-35)
h=
To solve for h in the equation A = (5/2)(h - 35), we will isolate h by undoing the operations in reverse order.
1. Distribute the coefficient 5/2 across the parentheses:
A = (5/2)h - (5/2)(35)
2. Simplify (5/2)(35):
A = (5/2)h - (5/2)(35) becomes:
A = (5/2)h - (175/2)
3. Move the constant term - (175/2) to the other side of the equation:
A + (175/2) = (5/2)h
4. Simplify A + (175/2):
A + (175/2) = (5/2)h becomes:
(2A + 175)/2 = (5/2)h
5. Multiply both sides of the equation by the reciprocal of (5/2):
[(2A + 175)/2] * (2/5) = [(5/2)h] * (2/5)
6. Simplify [(2A + 175)/2] * (2/5):
[(2A + 175)/2] * (2/5) becomes:
(2A + 175)/5 = h
Therefore, h = (2A + 175)/5.
To solve for h in the equation A = (5/2)(h - 35), we can use the following steps:
Step 1: Distribute the 5/2 to the terms inside the parentheses.
A = (5/2)h - (5/2)(35)
Step 2: Simplify the expression (5/2)(35).
A = (5/2)h - (5/2)(35)
A = (5/2)h - (5/2)*35
A = (5/2)h - (175/2)
Step 3: Combine like terms on the right side of the equation.
A = (5/2)h - (175/2)
Step 4: To isolate h, move the term (-175/2) to the right side by adding it to both sides of the equation.
A + (175/2) = (5/2)h - (175/2) + (175/2)
A + (175/2) = (5/2)h
Step 5: Simplify the right side of the equation by combining the terms.
A + (175/2) = (5/2)h
A + (175/2) = (5h/2)
Step 6: Multiply both sides of the equation by 2/5 to isolate h.
[(A + 175/2) * (2/5)] = [(5h/2) * (2/5)]
(A + 175/2) * (2/5) = h
Step 7: Simplify the right side of the equation.
h = (A + 175/2) * (2/5)
Therefore, h = (A + 175/2) * (2/5).