The formula for converting from degrees fahrenheit f to degrees celsius c is c=5/9(f−32). convert each temperature. a. city x temperature: −31∘f b. city y temperature: −45∘c c. city z temperature: −40∘c

I don't know if the asker meant those to all be in Fahrenheit; let's assume it's correct as written.

The interesting thing that this will teach us is that around -40 degrees the Celsius and Fahrenheit scales are about the same.

F=-31

C = (5/9) (F - 32) = (5/9)(-31 - 32) = (5/9)(-63) = 5(-7) = -35

Answer for a: -31°F = -35°C

The next two give us C and we want F.  Let's solve the general formula for F.

C = (5/9) (F - 32)

(9/5) C = F - 32

F = (9/5) C + 32

C = -45

F = (9/5)(-45) + 32 = -81 + 32 = -49

Answer for b: -45°C = -49°F

C = -40

F = (9/5) C + 32 = (9/5) (-40) + 32 = -72 + 32 = -40

They're the same!

Answer for c: -40°C = -40°F