Rearrange the following formula and solve for Farhenheit in the following problem.

C = (F - 32) X 5/9

Celsius = 22

1 answer

To solve for Fahrenheit, we need to rearrange the formula and isolate F.

C = (F - 32) * 5/9

To start, we'll distribute 5/9 to the term inside the parentheses.

C = (5/9) * F - (5/9) * 32

Next, we'll move the constant term to the other side of the equation.

C + (5/9) * 32 = (5/9) * F

Now, we'll simplify the left side of the equation.

C + 160/9 = (5/9) * F

To isolate F, we'll subtract 160/9 from both sides of the equation.

C + 160/9 - 160/9 = (5/9) * F - 160/9

C = (5/9) * F - 160/9

To solve for F, we'll multiply both sides of the equation by 9/5.

(9/5) * C = F - (9/5) * 160/9

Simplifying, we get:

(9/5) * C = F - 288/5

To isolate F, we'll add 288/5 to both sides of the equation.

(9/5) * C + 288/5 = F

Now we have the formula rearranged to solve for Fahrenheit. To find the value of Fahrenheit when Celsius is 22, we substitute C = 22 into the formula.

F = (9/5) * 22 + 288/5

Simplifying, we get:

F = 198/5 + 288/5
F = 486/5

Therefore, when Celsius is 22, Fahrenheit is 486/5.
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