Problem

Convert the given Fahrenheit temperature to its equivalent temperature on the Celsius scale. Use $\mathrm{C}=\frac{5}{9}(\mathrm{~F}-32)$ or $\mathrm{F}=\frac{9}{5} \mathrm{C}+32$, where $\mathrm{F}$ is the degrees in Fahrenheit and $\mathrm{C}$ is the degrees in Celsius: $-7^{\circ} \mathrm{F}$ \[ -7^{\circ} \mathrm{F}= \] \[ { }^{\circ} \mathrm{C} \] (Round to the nearest tenth as needed.)

Solution

Step 1 :We are given the temperature in Fahrenheit and we need to convert it to Celsius. We can use the formula \(C=\frac{5}{9}(F-32)\) to do this. We just need to substitute -7 for F in the formula and calculate the result.

Step 2 :Substitute -7 for F in the formula: \(C=\frac{5}{9}(-7-32)\)

Step 3 :Simplify the expression to get the Celsius temperature as -21.666666666666668.

Step 4 :But we need to round it to the nearest tenth, so the rounded Celsius temperature is -21.7.

Step 5 :The equivalent temperature on the Celsius scale for \(-7^\circ F\) is \(\boxed{-21.7^\circ C}\).

From Solvely APP
Source: https://solvelyapp.com/problems/45816/

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