Question

what must be the temperature in Fahrenheit so that it will be the twice its value in Celsius

Answer 1

At what temperature are Celsius and Fahrenheit the same?

The formulas for converting between degree Celsius and degree Fahrenheit are:

°F = (°C * 9/5) + 32
°C = (°F - 32) * 5/9

To find the temperature when both are equal, we use an old algebra trick and just set ºF = ºC and solve one of the equations.

°C = (°C * 9/5) + 32
°C - (°C * 9/5) = 32
-4/5 * °C = 32
°C = -32 * 5/4
°C = -40

°F = (°F * 9/5) + 32
°F - (°F * 9/5) = 32
-4/5 * °F = 32
°F = -32 * 5/4
°F = -40

So the temperature when both the Celsius and Fahrenheit scales are the same is -40 degrees.

Answer 2

Answer:

Let the temperature in Celsius be T.

So, the temperature in Fahrenheit = 2T

Now,

F = 32 + 9/5 C

⇒ 2T = 32 + 9/5 T

T = 160 °C

⇒Temperature in Fahrenheit

= 2T = 320 °F

Explanation:

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