Question

If a certain city had a record low for the year of -30 degrees Celsius, and a record high of 41 degrees Celsius find the temperatures in degrees Fahrenheit.

The low is ___ degrees Fahrenheit
The high is ___ degrees Fahrenheit
C= (5(F-32))/9

Answer 1

The low temperature is -22°F and the high temperature is 105.8°F.

Step-by-step explanation:

To convert temperatures from Celsius to Fahrenheit, we can use the formula:
C = (5/9)(F - 32)

Given that the record low temperature in the city is -30 degrees Celsius, we can substitute this value into the equation to find the temperature in Fahrenheit:
-30 = (5/9)(F - 32)

Simplifying the equation:
-270 = 5(F - 32)

Dividing both sides of the equation by 5:
-54 = F - 32

Adding 32 to both sides:
-22 = F

Therefore, the low temperature in degrees Fahrenheit is -22°F.

Similarly, to find the high temperature in degrees Fahrenheit:

41 = (5/9)(F - 32)

Simplifying the equation:
369 = 5(F - 32)

Dividing both sides of the equation by 5:
73.8 = F - 32

Adding 32 to both sides:
105.8 = F

Therefore, the high temperature in degrees Fahrenheit is 105.8°F.

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