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The equation [tex]5F - 9C = 160[/tex] gives the relationship between Fahrenheit and Celsius temperature measurements. What Fahrenheit measure is equivalent to a Celsius measurement of [tex]20^\circ C[/tex]?

Answer :

Final answer:

To find the Fahrenheit equivalent of 20°C using the formula 5F - 9C = 160, solve for F resulting in a Fahrenheit measure of 68°F.

Explanation:

To find what Fahrenheit measure is equivalent to a Celsius measurement of 20°C, we can use the equation 5F - 9C = 160. To find the Fahrenheit temperature, we must solve for F (the Fahrenheit temperature) when C (the Celsius temperature) is 20.

Substituting 20 for C in the equation we get:

5F - 9(20) = 160

5F - 180 = 160

Now, add 180 to both sides of the equation:

5F = 160 + 180

5F = 340

Then, divide both sides by 5:

F = 340 / 5

F = 68°F

Therefore, a Celsius measurement of 20°C is equivalent to a Fahrenheit measurement of 68°F.

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