College

The formula [tex]C = \frac{5}{9}(F-32)[/tex] expresses the relationship between Fahrenheit temperature, [tex]F[/tex], and Celsius temperature, [tex]C[/tex].

Use the formula to convert [tex]68^{\circ} F[/tex] to its equivalent temperature on the Celsius scale.

[tex]68^{\circ} F = \square^{\circ} C[/tex]

Answer :

Sure! Let's convert the Fahrenheit temperature [tex]\(68^{\circ} F\)[/tex] to its equivalent temperature on the Celsius scale using the formula:

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

Here is a step-by-step solution:

1. Identify the given Fahrenheit temperature:
[tex]\[ F = 68^{\circ} F \][/tex]

2. Subtract 32 from the Fahrenheit temperature:
[tex]\[ F - 32 = 68 - 32 = 36 \][/tex]

3. Multiply the result by [tex]\(\frac{5}{9}\)[/tex]:
[tex]\[ C = \frac{5}{9} \times 36 \][/tex]

4. Perform the multiplication:
[tex]\[ C = \frac{5 \times 36}{9} = \frac{180}{9} = 20 \][/tex]

Therefore, the equivalent temperature on the Celsius scale is:

[tex]\[ 68^{\circ} F = 20^{\circ} C \][/tex]