Question

convert the given fahrenheit temperature to its equivalent temperature on the celsius scale. use $c = \frac{5}{9}(f - 32)$ or $f = \frac{9}{5}c + 32$, where $f$ is the degrees in fahrenheit and $c$ is the degrees in celsius. \\( - 18^{\circ}\text{f} \\)\\( - 18^{\circ}\text{f} = \square^{\circ}\text{c} \\)\\( \text{(round to the nearest tenth as needed.)} \\)

Explanation:

Step1: Substitute F with -18 in the formula

We use the formula \( C = \frac{5}{9}(F - 32) \). Substitute \( F = -18 \) into the formula:
\( C = \frac{5}{9}(-18 - 32) \)

Step2: Calculate the value inside the parentheses

First, calculate \( -18 - 32 = -50 \). Then the formula becomes:
\( C = \frac{5}{9}(-50) \)

Step3: Perform the multiplication

Calculate \( \frac{5}{9} \times (-50) = \frac{-250}{9} \approx -27.8 \)

Answer:

\(-27.8\)