https://r2.erweima.ai/mathbot/image/1718785608515ce09xqft.jpg

To convert \(3^\circ C\) to the equivalent temperature in Fahrenheit, you can use the formula provided:

\[ C = \frac{5}{9}(F - 32) \]

To find \(F\) when \(C = 3\), we need to rearrange the formula to solve for \(F\):

\[ 3 = \frac{5}{9}(F - 32) \]

First, multiply both sides by 9:

\[ 3 \times 9 = 5(F - 32) \]

\[ 27 = 5(F - 32) \]

Next, divide both sides by 5:

\[ \frac{27}{5} = F - 32 \]

\[ 5.4 = F - 32 \]

Finally, add 32 to both sides to solve for \(F\):

\[ 5.4 + 32 = F \]

\[ 37.4 = F \]

So, \(3^\circ C\) is equivalent to \(37.4^\circ F\).

Would you like any details or have any questions?

Here are 5 numbered questions you might find helpful to ask:

1. How do you convert temperatures from Fahrenheit to Celsius?
2. What is the formula to convert Kelvin to Celsius?
3. How do you solve for \(F\) in the formula \(C = \frac{5}{9}(F - 32)\)?
4. What is the temperature conversion for \(100^\circ C\) to Fahrenheit?
5. Can you explain the derivation of the temperature conversion formula?

**Tip:** Always remember to double-check your calculations to ensure accuracy, especially when rearranging formulas.

Learn how to convert 3°C to Fahrenheit using the temperature conversion formula step-by-step. This problem covers the basics of temperature conversion and linear equations. Suitable for a general audience interested in temperature conversions.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation