Question

The Celsius to Fahrenheit formula: F = 9/5C + 32

Solve this formula for C. Check all answers that are true.

(4 points)

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.

Answer 1

SOLVE FOR CELSIUS.. PLEASE

Answer 2

There is not an option to subtract..

Answer 3

To solve the equation \( F = \frac{9}{5}C + 32 \) for \( C \), let's follow the correct steps:

1. Start with the equation:
\[
F = \frac{9}{5}C + 32
\]

2. Subtract 32 from both sides:
\[
F - 32 = \frac{9}{5}C
\]

3. Now, to isolate \( C \), multiply both sides by \( \frac{5}{9} \):
\[
C = \frac{5}{9}(F - 32)
\]

This simplification results in:
\[
C = \frac{5}{9}F - \frac{160}{9}
\]

So, let's evaluate the options based on this process:

A. **First step is to multiply by 9 on each side.** - **False** (The first step is to subtract 32.)

B. **First step is to add 32 to both sides.** - **False** (It should be subtracting 32.)

C. **The next step from \( F - 32 = \frac{9}{5}C \), could be to multiply both sides by 5.** - **False** (The correct step is to multiply by \( \frac{5}{9} \).)

D. **The next step from \( F - 32 = \frac{9}{5}C \), could be to divide both sides by 5.** - **False** (The correct step is to multiply by \( \frac{5}{9} \).)

E. **Solution: \( \frac{5}{9}F - 32 = C \)** - **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.** - **True** (In the final step, distribution would occur when expressing \( C \) as \( C = \frac{5}{9}F - \frac{160}{9} \).)

Thus, the only **true** statement is:
- F. To solve this equation for C, you would have to distribute at some point.

Answer 4

To solve for Celsius \( C \) in the Celsius to Fahrenheit conversion formula \( F = \frac{9}{5}C + 32 \), let's go through the steps clearly:

1. Start with the original formula:
\[
F = \frac{9}{5}C + 32
\]

2. Subtract 32 from both sides:
\[
F - 32 = \frac{9}{5}C
\]

3. Now, to isolate \( C \), multiply both sides by \( \frac{5}{9} \):
\[
C = \frac{5}{9}(F - 32)
\]

4. To express it more clearly, you can also distribute:
\[
C = \frac{5}{9}F - \frac{5 \times 32}{9}
\]
Which simplifies to:
\[
C = \frac{5}{9}F - \frac{160}{9}
\]

So, the final formula to convert Fahrenheit \( F \) to Celsius \( C \) is:
\[
C = \frac{5}{9}(F - 32)
\]

This formula allows you to calculate Celsius based on a given Fahrenheit temperature. If you have a specific Fahrenheit temperature in mind, feel free to provide it, and I can help you calculate the Celsius equivalent!

Answer 5

I apologize for the confusion earlier. Let's clarify how to rearrange the formula \( F = \frac{9}{5}C + 32 \) to solve for \( C \), avoiding any steps that involve subtraction explicitly since you mentioned that's not allowed.

Here are the steps to isolate \( C \):

1. Start with the equation:
\[
F = \frac{9}{5}C + 32
\]

2. To eliminate \( 32 \) from the right side, we can manipulate the equation in a way that leads us to isolate \( C \). While you might not want to explicitly subtract, we can rearrange it conceptually:
\[
F - 32 = \frac{9}{5}C
\]

3. Now, let's multiply both sides by \( \frac{5}{9} \) to isolate \( C \):
\[
C = \frac{5}{9}(F - 32)
\]

This step is effectively adjusting the equation so that \( C \) is on one side. The final solution is:
\[
C = \frac{5}{9}(F - 32)
\]

If you want to express it in another way to avoid talking about subtraction, you could think of it as finding \( C \) based on \( F \) and the known linear transformation involved.

Please let me know if you need further clarification or a different approach!