High School

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What is the temperature in degrees Fahrenheit or Celsius where the reading on a Fahrenheit thermometer is exactly the same as the reading on a Celsius thermometer?

Answer :

The temperature where Fahrenheit and Celsius are equal is -40 degrees.

The formula to convert Celsius to Fahrenheit is:

F = (9/5) * C + 32

Where:

F = temperature in Fahrenheit

C = temperature in Celsius

Setting Up the Equation

We want to find the temperature where Fahrenheit and Celsius are equal, so we can set F equal to C:

C = (9/5) * C + 32

Solving for C

Now, we can solve for C:

Subtract C from both sides:

0 = (4/5) * C + 32

Subtract 32 from both sides:

-32 = (4/5) * C

Multiply both sides by 5/4 to isolate C:

C = -32 * (5/4)

C = -40

So, -40°F is equal to -40°C.

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Rewritten by : Jeany