https://file.aiquickdraw.com/mathbot/file/172546283651803cdeeff.jpg

The problem provided in the image reads:

\[
\text{If } C = \frac{5}{8} F + 32, \text{ what is the value of } F \text{ when } C = 40?
\]

This equation is the formula for converting Fahrenheit (F) to Celsius (C).

### Step-by-Step Solution:

1. **Write the equation:**
   \[
   C = \frac{5}{8} F + 32
   \]
   
2. **Substitute the value of \( C = 40 \) into the equation:**
   \[
   40 = \frac{5}{8} F + 32
   \]

3. **Solve for \( F \):**
   - Subtract 32 from both sides of the equation:
     \[
     40 - 32 = \frac{5}{8} F
     \]
     \[
     8 = \frac{5}{8} F
     \]
   - Multiply both sides of the equation by the reciprocal of \( \frac{5}{8} \), which is \( \frac{8}{5} \):
     \[
     F = 8 \times \frac{8}{5} = \frac{64}{5}
     \]
   
4. **Calculate the final value:**
   \[
   F = 12.8
   \]

Therefore, the value of \( F \) when \( C = 40 \) is **12.8**.

Would you like more details on this solution or have any further questions?

### Related Questions:
1. How do you convert Celsius to Fahrenheit using the reverse formula?
2. What is the Fahrenheit equivalent of 100°C?
3. Can this formula be used to find the temperature in Kelvin? If not, what is the correct formula?
4. How do you derive the Celsius to Fahrenheit conversion formula?
5. If \( F = 0 \), what is the corresponding Celsius value?

**Tip:** When solving temperature conversion problems, remember to carefully follow the order of operations and correctly handle fractions.

If C = 5/8 F + 32, what is the value of F when C = 40?

This problem involves solving a linear equation to find the value of Fahrenheit (F) when Celsius (C) is given as 40. The equation used is C = (5/8)F + 32. Learn the step-by-step method for solving this type of temperature conversion problem, suitable for students in Grades 6-8.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation