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Answer :
The derived equation for F from the given equation is F = 9/5C + 32.
The given formula for converting temperatures is C = 5/9(F - 32). To solve the equation for F (the temperature in degrees Fahrenheit), you want to express F in terms of C (the temperature in degrees Celsius). Here's the step-by-step process:
Start with the given equation: C = 5/9(F - 32)
Multiply both sides of the equation by 9⁄5 to get rid of the fraction: 9C = 5(F - 32)
Expand the right side of the equation: 9C = 5F - 160
Add 160 to both sides of the equation to isolate the term with F: 9C + 160 = 5F
Finally, divide both sides by 5 to solve for F: F = 9/5(C) + 32
Therefore, the formula to convert temperature from Celsius to Fahrenheit is F = 5/9(C) + 32.
The given question is incomplete, the complete question is
"The formula for converting temperature between the Fahrenheit and Celsius scales is C = 9/5(F-32), where C
is the temperature in degrees Celsius and F is in degrees Fahrenheit. Solve the equation for F."
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Final answer:
To solve the equation C = (F-32) for F, we need to isolate F by adding 32 to both sides of the equation. The formula to convert temperature from Celsius to Fahrenheit is F = C + 32.
Explanation:
To solve the equation C = (F-32) for F, we need to isolate F. Let's start by adding 32 to both sides of the equation:
C + 32 = F - 32 + 32
C + 32 = F
So, the formula to convert temperature from Celsius to Fahrenheit is F = C + 32.
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