High School

Convert Celsius to Fahrenheit using the equation:

\[ F = \frac{9}{5}C + 32 \]

Solve for \( C \) and find the degrees in Celsius if the temperature is \( 50^\circ F \).

Answer :

Answer/ Step-by-step explanation: To solve the given equation F = 95C + 32 for C, we need to isolate C on one side of the equation.

Let's rearrange the equation step by step:

1. Start with the equation: F = 95C + 32

2. Subtract 32 from both sides of the equation to isolate 95C: F - 32 = 95C

3. Divide both sides of the equation by 95 to solve for C: (F - 32) / 95 = C

Now, let's calculate the degrees in Celsius if the temperature is 50°F:

1. Plug in the value of F as 50 into the equation: C = (50 - 32) / 95

2. Simplify the equation: C = 18 / 95

3. Calculate the result: C ≈ 0.1895

Therefore, if the temperature is 50°F, it is approximately 0.1895°C in Celsius.