Question

the formula used to convert degrees Celsius to degrees Fahrenheit is F = 9/5C + 32. Convert 77 to degrees celsius. Solve the formula for C, and then use it to convert the temperature

Answer 1

You have to convert 77 degrees Fahrenheit to degrees Celsius.

The equation to convert degrees Celsius to degrees Fahrenheit is given:

`F=(9)/(5)C+32`

First, you have to write the equation for C:

- Pass 32 to the left side by applying the opposite operation to both sides of the equal sign:

`\begin{gathered} F=(9)/(5)C+32 \\ F-32=(9)/(5)C+32-32 \\ F-32=(9)/(5)C \end{gathered}`

- Multiply both sides of the equation by the reciprocal of 9/5

`\begin{gathered} (F-32)(5)/(9)=(5)/(9)*(9)/(5)C \\ (5)/(9)(F-32)=C \end{gathered}`

Now that you have determined an expression to convert degrees Fahrenheit to Celsius degrees, you can convert 77ºF to Celsius, replace the equation with F=77 and solve for C:

`\begin{gathered} C=(5)/(9)(F-32) \\ C=(5)/(9)(77-32) \\ C=(5)/(9)*45 \\ C=25 \end{gathered}`

77 degrees Fahrenheit is equal to 25 degrees Celsius.