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
