Question

The relationship between Fahrenheit temperature (F) and Celsius temperature (C) is shown by the formula F= 9/5 C+32. At what temperature will a Fahrenheit thermometer read the same as a Celsius thermometer?

Answer 1

At a temperature of -40°C, the Fahrenheit and Celsius thermometers will read the same.

Step-by-step explanation:

Fahrenheit and Celsius Temperature Conversion

The relationship between Fahrenheit temperature (F) and Celsius temperature (C) is shown by the formula F = (9/5)C + 32. To find the temperature at which a Fahrenheit thermometer reads the same as a Celsius thermometer, we can set the equations equal to each other and solve for temperature:

F = (9/5)C + 32

C = F

Substituting C for F in the first equation:
(9/5)C + 32 = C

Simplifying the equation:
(9/5)C - C = -32
Combining like terms:
(4/5)C = -32
Solving for C:
C = -32 * 5/4 = -40°C

Therefore, at a temperature of -40°C, the Fahrenheit and Celsius thermometers will read the same.