The Celsius to Fahrenheit formula: F=95C+32
Solve this formula for C. Check all answers that are true.
(2 points)
Responses
First step is to multiply by 9 on each side.
First step is to multiply by 9 on each side.
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 multiply both sides by 5
First step is to add 32 to both sides.
First step is to add 32 to both sides.
To solve this equation for C, you would have to distribute at some point.
To solve this equation for C, you would have to distribute at some point.
Solution: 5/9F - 32 = C
Solution: 5/9F - 32 = C
First, let's go through the steps to solve the formula for C:
1. Multiply both sides by 9: (F - 32) * 9/5 = C
2. Simplify the equation: (9/5)F - 32(9/5) = C
3. Distribute: (9/5)F - 288/5 = C
Therefore, the correct solution is C = (9/5)F - 288/5.
Now, let's check if the provided answers are true:
1. 5/9F - 32 = C: This is the correct solution, so it is true.
2. F - 32 = 9/5 C: This is the original formula rearranged, not the solution for C, so it is not true.
So, the correct answer is only 1. 5/9F - 32 = C.
To solve the Celsius to Fahrenheit formula F=9/5C+32 for C, we can follow these steps:
1. Subtract 32 from both sides of the equation: F - 32 = 9/5C
2. To isolate C, we can divide both sides by 9/5, or multiply both sides by its reciprocal, 5/9. This gives us: (5/9)(F - 32) = C
Therefore, the solution is C = (5/9)(F - 32).