High School

The formula to convert Celsius to Fahrenheit is [tex]F = \frac{9}{5}C + 32[/tex]. Convert 87°F to Celsius. Round to the nearest degree.

Answer :

Answer:

31°C

Step-by-step explanation:

The formula to convert Celsius to Fahrenheit is F=9/5c+32.

To convert 87° F to Celsius plug in F = 87 in the above formula, we get

87 = [tex]-\frac{9}{5} c + 32[/tex]

Now we have to isolate the variable and the constant.

Subtract 32 from both sides, we get

87 - 32 = [tex]-\frac{9}{5} c + 32 - 32[/tex]

55 = [tex]-\frac{9}{5} c[/tex]

Multiply both sides by the reciprocal of -9/5

Which is called inverse operations to find the value of C.

The reciprocal of -9/5 is -5/9

[tex]-\frac{5}{9} *55 = -\frac{9}{5} *-\frac{5}{9} C[/tex]

C = 275/9

C = 30.5°

To round off to the nearest degree, we get

31°C

The answer would be 30 or 31 degrees.