Question

A formula for converting degrees Fahrenheit left bracket, F, right bracket(F) to degrees Celsius left bracket, C, right bracket(C) is given by the formula C, equals, start fraction, 5, divided by, 9, end fraction, left bracket, F, minus, 32, right bracket, .C=5/9(F−32). Solve the formula for F in terms of C.

Answer 1

- The formula for converting degrees Fahrenheit (F) to degrees Celsius (C) is C = (5/9)(F - 32).

- To solve the formula for F in terms of C, we have F = (9/5)C + 32.

Step-by-step explanation:

To solve the formula C = (5/9)(F - 32) for F in terms of C, we can use algebraic manipulation.

1. Start with the given formula: C = (5/9)(F - 32)

2. Multiply both sides of the equation by 9/5 to eliminate the fraction: (9/5)C = F - 32

3. Simplify the left side of the equation: (9/5)C = F - 32

4. Add 32 to both sides of the equation to isolate F: (9/5)C + 32 = F

Now, we have solved the formula for F in terms of C.

To summarize:

- The formula for converting degrees Fahrenheit (F) to degrees Celsius (C) is C = (5/9)(F - 32).

- To solve the formula for F in terms of C, we have F = (9/5)C + 32

Answer 2

To solve for F in terms of C, multiply both sides of the equation by 9, distribute 5 to both terms of the parentheses, add 160 to both sides, and divide both sides by 5. The formula for converting degrees Celsius to degrees Fahrenheit is F = 5/9(9C + 160).

Step-by-step explanation:

To solve the formula C = ⅓(F - 32) for F in terms of C, we need to isolate F. Here are the steps:

1. Multiply both sides of the equation by 9 to get rid of the fraction: 9C = 5(F - 32)
2. Distribute 5 to both terms of the parentheses: 9C = 5F - 160
3. Add 160 to both sides of the equation to isolate F: 9C + 160 = 5F
4. Finally, divide both sides of the equation by 5 to solve for F: F = ⅓(9C + 160)

Therefore, the formula for converting degrees Celsius to degrees Fahrenheit is F = ⅓(9C + 160).