13. The Celsius to Fahrenheit formula: F = 9/5C + 32
Solve this formula for C. Check all answers that are true.
I First step is to add 32 to both sides.
• 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 divide both sides by 5
•To solve this equation for C, you would have to distribute at some point.
The correct steps to solve the equation F = 9/5C + 32 for C are as follows:
1. First step is to subtract 32 from both sides to isolate the 9/5C term:
F - 32 = 9/5C
2. The next step is to multiply both sides by the reciprocal of 9/5, which is 5/9:
(5/9)(F - 32) = (5/9)(9/5)C
(5/9)(F - 32) = C
3. Therefore, the true answer is: The next step from F - 32 = 9/5 C, could be to multiply both sides by 5/9.
Chose all the answers that are correct
- 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
Both of these steps are correct and would lead to the solution of the equation.
To solve the Celsius to Fahrenheit formula F = (9/5)C + 32 for C, we can follow these steps:
1. Start with the equation: F = (9/5)C + 32.
2. Subtract 32 from both sides of the equation to isolate the term with C:
F - 32 = (9/5)C.
3. To get rid of the fraction (9/5), we can multiply both sides of the equation by its reciprocal, which is 5/9:
(5/9)(F - 32) = (9/5)C * (5/9).
4. Simplifying the equation gives:
(5/9)(F - 32) = C.
So, the equation to solve for C is: C = (5/9)(F - 32).
Now, let's check the given statements:
• The first step is to add 32 to both sides. - This statement is not true since we need to subtract 32 from both sides, not add.
• The first step is to multiply by 9 on each side. - This statement is not true since we need to multiply by the reciprocal 5/9, not 9.
• The next step from F - 32 = (9/5)C, could be to multiply both sides by 5. - This statement is true. By multiplying both sides by 5, we can eliminate the fraction and simplify the equation.
• The next step from F - 32 = (9/5)C, could be to divide both sides by 5. - This statement is not true. We need to multiply both sides by 5, not divide.
• To solve this equation for C, you would have to distribute at some point. - This statement is not true. There is no need to distribute since no terms are being multiplied or factored within parentheses.
Therefore, the only true statement is that the next step from F - 32 = (9/5)C could be to multiply both sides by 5.