The Celsius to Fahrenheit formula: F = 9/5 C + 32
Solve this formula for C. Check all answers that are true.
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.
No, distributing is not necessary in this case. The correct solution is:
C = (F - 32) * 5/9
To solve the Celsius to Fahrenheit formula F = (9/5)C + 32 for C, you can follow these steps:
1. Start with the formula: F = (9/5)C + 32
2. First, subtract 32 from both sides of the equation: F - 32 = (9/5)C
3. Now, to isolate C, you need to get rid of the coefficient (9/5) in front of C. You can do this by multiplying both sides of the equation by the reciprocal of (9/5), which is 5/9: (5/9)(F - 32) = C
4. Distribute the (5/9) to the terms inside the parentheses: (5/9)F - (5/9)(32) = C
The final solution for C is: C = (5/9)F - (160/9)
Now, let's check which statements are true:
- First step is to multiply by 9 on each side: This statement is false. The first step is to subtract 32 from both sides.
- First step is to add 32 to both sides: This statement is true. Adding 32 to both sides of the equation is the correct first step.
- The next step from F - 32 = (9/5)C could be to multiply both sides by 5: This statement is false. The correct next step is to multiply both sides by the reciprocal of (9/5), which is 5/9.
- The next step from F - 32 = (9/5)C could be to divide both sides by 5: This statement is true. Dividing both sides by 5 is an alternative next step to isolate C.
The correct solution for C is: C = (5/9)F - (160/9)