Solve for h. (Simplify your answer. Use integers or fractions for any numbers in the expression.)
A=5/2(h-35)
h=
h = (2A/5) + 35
no
Apologies for the mistake.
To solve for h, you need to multiply both sides of the equation by 2/5 to isolate (h-35) on one side.
A = (5/2)(h-35)
Multiply both sides by 2/5:
(2/5)A = (5/2)(2/5)(h-35)
Simplify:
(2/5)A = (h-35)
To isolate h, add 35 to both sides:
(2/5)A + 35 = (h-35) + 35
Simplify:
(2/5)A + 35 = h
Therefore, the solution for h is h = (2/5)A + 35.
To solve for h in the equation A = 5/2(h - 35), we need to isolate h. Let's start by distributing 5/2 to (h - 35):
A = 5/2h - (5/2)(35)
Simplifying the second term:
A = 5/2h - 5/2 * 35/1
Since 5/2 and 35/1 have a common denominator of 2, we can multiply the numerators and the denominators together:
A = 5/2h - (5 * 35)/(2 * 1)
A = 5/2h - 175/2
Now, let's bring 175/2 to the other side of the equation:
A + 175/2 = 5/2h
To simplify this further, let's find a common denominator for A and 175/2, which is 2:
(2A + 175)/2 = 5/2h
Multiplying both sides of the equation by 2/5:
[(2A + 175)/2] * (2/5) = (5/2h) * (2/5)
Simplifying the left side:
(2A + 175) * 2/5 = (5 * 2h)/2
(4A + 350)/5 = 10h/2
Now, let's simplify the right side:
(4A + 350)/5 = 5h
Multiplying both sides by 5:
[(4A + 350)/5] * 5 = 5h * 5
Simplifying the left side:
4A + 350 = 25h
Finally, to solve for h, divide both sides of the equation by 25:
(4A + 350)/25 = h
Therefore, h = (4A + 350)/25.
To solve for h in the equation A = (5/2)(h - 35), follow these 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 by multiplying 5/2 with each term inside the parentheses:
A = (5/2)h - (5/2)(35)
A = (5/2)h - (5/2)(35/1)
A = (5/2)h - (5*35)/(2*1)
A = (5/2)h - 175/2
Step 3: Move the constant term (-175/2) to the other side of the equation:
A + 175/2 = (5/2)h
Step 4: Simplify the left side of the equation by finding a common denominator:
2A/2 + 175/2 = (5/2)h
(2A + 175)/2 = (5/2)h
Step 5: Divide both sides of the equation by (5/2) to solve for h:
[(2A + 175)/2] / (5/2) = h
Multiply the numerator by the reciprocal of (5/2):
[(2A + 175)/2] * (2/5) = h
[2(2A + 175)] / 5 = h
(4A + 350) / 5 = h
Therefore, the expression h is equal to (4A + 350)/5.