Question

The national weather service reports the daily temperature in degrees

Answer 1

Answer:

$C =\frac{5}{9}(F - 32)$

Step-by-step explanation:

Given

$F = 1.8C + 32$

Required

Solve for C

$F = 1.8C + 32$

Subtract 32 from both sides

$F-32 = 1.8C + 32-32$

$F-32 = 1.8C$

Divide both sides by 1.8

$\frac{1}{1.8}(F - 32) = C$

Express the decimal as fraction

$\frac{1}{18/10}(F - 32) = C$

$\frac{10}{18}(F - 32) = C$

Simplify

$\frac{5}{9}(F - 32) = C$

$C =\frac{5}{9}(F - 32)$