Question

Faça as seguintes transformações:
A) 30°C para °F
B)100°F para °C
C)0°F para °C
D)-30°C para °F

Answer 1

a) $\frac{TC}{5}=\frac{TF-32}{9}\\\frac{30}{5}=\frac{TF-32}{9}$

5·(TF-32) = 9·30

5TF-160 = 270

5TF = 270+160

5TF = 430

TF = $\frac{430}{5}$

TF = 86°F

B) $\frac{TC}{5} = \frac{100-32}{9}\\\frac{TC}{5} = \frac{68}{9}$

9·TC = 5·68

9TC = 340

TC = $\frac{340}{9}$

TC = 37,7°C

C)$\frac{TC}{5} = \frac{0-32}{9}$

$\frac{TC}{5} = \frac{-32}{9}$

9·TC = 5·(-32)

9TC = -160

$TC = \frac{-160}{9}$

TC = -17,7°C

D) $\frac{-30}{5} = \frac{TF-32}{9}$

5·(TF-32) = 9·(-30)

5TF - 160 = -270

5TF= -270+160

5TF= -110

TF=$\frac{-110}{5}$

TF= -22F

Sempre que for transformar Celsius para Fahrenheit ou ao contrário vc usará esta fórmula $\frac{TC}{5} = \frac{TF-32}{9}$