The Celsius to Fahrenheit formula: F=9/5C+32
Solve this formula for C. Check all answers that are true.
(4 points)
Responses
First step is to multiply by 9 on each side.
First step is to add 32 to both sides.
The next step from F - 32 = 9/5 C, could be to multiply both sides by 5
The next step from F - 32 = 9/5 C, could be to divide both sides by 5
Solution: 5/9F - 32 = C
To solve this equation for C, you would have to distribute at some point.
To solve the Celsius to Fahrenheit formula for C, you would need to use the steps mentioned in the responses.
First, you would start with the equation F = (9/5)C + 32.
To isolate C, the first step would be to subtract 32 from both sides:
F - 32 = (9/5)C.
Next, to further isolate C, you could divide both sides by 9/5:
(F - 32) / (9/5) = C.
Simplifying this expression by multiplying by 5/9:
[(F - 32) / (9/5)] x (5/9) = C.
This simplifies to:
[(F - 32) x 5] / 9 = C.
So, the correct solution for C is [(F - 32) x 5] / 9.
To solve the Celsius to Fahrenheit formula F = (9/5)C + 32 for C, we will follow the steps:
Step 1: Start with the formula F = (9/5)C + 32.
Step 2: Subtract 32 from both sides of the equation to isolate the (9/5)C term.
F - 32 = (9/5)C.
Step 3: To solve for C, we need to get rid of the fraction (9/5).
We can do this by multiplying both sides of the equation by 5.
Step 4: Multiply both sides by 5.
5(F - 32) = 5(9/5)C.
Step 5: Simplify both sides of the equation.
5F - 160 = 9C.
Step 6: Divide both sides of the equation by 9 to isolate C.
(5F - 160)/9 = C.
Therefore, the correct solution for C is (5F - 160)/9.
Please note that there was no need to distribute at any point in this solution.