Question

Emperatures in °F can be converted in °C using the formula

C = 5(F-
5(F-32)
9
Make F the subject of the formula.
aC+ b
Give your answer in the form
C
where a, b and c are all positive integers

Answer 1

Hi,

Explanation:

`C=(5*(F-32))/(9) \\\\9*C=5*(F-32)\\\\(9C)/(5) =F-32\\\\\boxed{F=(9)/(5)*C+32}\\\\`

\\

To make F the subject of the formula, you need to isolate F on one side of the equation.

Here's how you can do it:

The formula is: C = 5(F - 32)/9

First, multiply both sides of the equation by 9 to get rid of the fraction:

9C = 5(F - 32)

Now, divide both sides of the equation by 5 to isolate F:

(9C)/5 = F - 32

Next, add 32 to both sides to solve for F:

(9C)/5 + 32 = F

So, the formula with F as the subject is:

F = (9C/5) + 32

Now, let's express this formula in the requested form aC + b, where a, b, and c are positive integers:

a = 9/5

b = 32

c = C

So, in the desired form, the formula is:

F = (9C/5) + 32