High School

The relationship between the Fahrenheit and Celsius temperature scales is given by:

[tex] F = \frac{9}{5}C + 32 [/tex]

Find the temperatures in degrees Celsius (°C) and degrees Fahrenheit (°F) when the Celsius reading (°C) is twice the Fahrenheit reading (°F).

Answer :

Final answer:

The relationship between Fahrenheit and Celsius can be expressed using an equation. To find the temperature in Celsius when it is twice the temperature in Fahrenheit, we can set up an equation and substitute values.

Explanation:

The relationship between the Fahrenheit and Celsius temperature scales can be expressed using the equation F = (9/5)C + 32. To find the temperature in Celsius (oc) when it is twice the temperature in Fahrenheit (of), we can set up the equation oc = 2of and substitute the value of of in terms of oc using the Fahrenheit-Celsius relationship equation. After simplifying, we find that oc = (5/9)(of - 32).

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