Question
The Celsius to Fahrenheit formula: F = 9 over 5C + 32
Solve this formula for C. Check ALL!!! Answers that are TRUE!!.
options:
A). First step is to multiply by 9 on each side.
B). First step is to add 32 to both sides.
C). The next step from F - 32 = 9/5 C, could be to multiply both sides by 5
D). The next step from F - 32 = 9/5 C, could be to divide both sides by 5
E). Solution: 5/9F - 32 = C
F). To solve this equation for C, you would have to distribute at some point.
Solve this formula for C. Check ALL!!! Answers that are TRUE!!.
options:
A). First step is to multiply by 9 on each side.
B). First step is to add 32 to both sides.
C). The next step from F - 32 = 9/5 C, could be to multiply both sides by 5
D). The next step from F - 32 = 9/5 C, could be to divide both sides by 5
E). Solution: 5/9F - 32 = C
F). To solve this equation for C, you would have to distribute at some point.
Answers
GPT-4o mini
Let's break down the process of solving the equation \( F = \frac{9}{5}C + 32 \) for \( C \).
1. Start with the original equation:
\[
F = \frac{9}{5}C + 32
\]
2. Subtract 32 from both sides to isolate the term containing \( C \):
\[
F - 32 = \frac{9}{5}C
\]
3. Multiply both sides by \( \frac{5}{9} \) to solve for \( C \):
\[
C = \frac{5}{9}(F - 32)
\]
Now let's evaluate the provided options based on this process:
A) **First step is to multiply by 9 on each side.**
- **False**. The first step is actually to subtract 32 from both sides.
B) **First step is to add 32 to both sides.**
- **False**. You would subtract 32 from both sides, not add.
C) **The next step from F - 32 = 9/5 C, could be to multiply both sides by 5.**
- **False**. You have to multiply both sides by \( \frac{5}{9} \), not just 5.
D) **The next step from F - 32 = 9/5 C, could be to divide both sides by 5.**
- **False**. You cannot just divide both sides by 5, as that wouldn't isolate \( C \).
E) **Solution: 5/9F - 32 = C.**
- **False**. The correct solution is \( C = \frac{5}{9}(F - 32) \).
F) **To solve this equation for C, you would have to distribute at some point.**
- **False**. You do not need to distribute in the steps taken to isolate \( C \).
None of the options are true based on the steps we went through to solve the equation for \( C \).
1. Start with the original equation:
\[
F = \frac{9}{5}C + 32
\]
2. Subtract 32 from both sides to isolate the term containing \( C \):
\[
F - 32 = \frac{9}{5}C
\]
3. Multiply both sides by \( \frac{5}{9} \) to solve for \( C \):
\[
C = \frac{5}{9}(F - 32)
\]
Now let's evaluate the provided options based on this process:
A) **First step is to multiply by 9 on each side.**
- **False**. The first step is actually to subtract 32 from both sides.
B) **First step is to add 32 to both sides.**
- **False**. You would subtract 32 from both sides, not add.
C) **The next step from F - 32 = 9/5 C, could be to multiply both sides by 5.**
- **False**. You have to multiply both sides by \( \frac{5}{9} \), not just 5.
D) **The next step from F - 32 = 9/5 C, could be to divide both sides by 5.**
- **False**. You cannot just divide both sides by 5, as that wouldn't isolate \( C \).
E) **Solution: 5/9F - 32 = C.**
- **False**. The correct solution is \( C = \frac{5}{9}(F - 32) \).
F) **To solve this equation for C, you would have to distribute at some point.**
- **False**. You do not need to distribute in the steps taken to isolate \( C \).
None of the options are true based on the steps we went through to solve the equation for \( C \).