Question

8. Temperatures in degrees Celsius (C) may be changed to degrees Fahrenheit (F) by using the formula F = 1.8C + 32º. Find the temperature in degrees Fahrenheit when C equals 25°
(1) 45°
(2) 57°
(3) 58.8°
(4) 77°
(5) 102.6°​

Answer 1

Answer:

-40 °F = -40 °C

Step-by-step explanation:

(1) F = 1.8 C + 32

If the Fahrenheit and Celsius temperatures are the same, then

(2)        F = C     Substitute (2) into (1)

           C = 1.8C + 32     Subtract 1.8 C from each side

C – 1.8 C = 32                   Combine like terms

   -0.8C = 32                   Divide each side by -0.8

         C = -32/0.8

(3)      C = -40                  Substitute (3) into (1)

        F = 1.8(-40) + 32

        F = -72 + 32

       F = -40

So, -40 °F = -40 °C

The thermometer below shows that -40 °F = -40 °C.