Could somebody please explain how this is the correct answer please​

C

Step-by-step explanation:

Given

S = ( multiply both sides by C + I )

S(C + I) = C - I ← distribute left side

SC + SI = C - I ( multiply through by 4 to clear the fraction )

4SC + 4SI = 4C - I ( add I to both sides )

4SC + 4SI + I = 4C ( subtract 4SC from both sides )

4SI + I = 4C - 4SC ← factor out I from each term on the left side

I(4S + 1) = 4C - 4SC ← factor out 4C from each term on the right side

I(4S + 1) = 4C(1 - 4S) ← divide both sides by (4S + 1)

I =

2 over 5

step-by-step explanation:

the 2: 3 ratio is the length of the ac segment to the cb segment total length. this implies that the ratio between segment ac length and segment ab length is 2: 5. point c is 2/5 from a to b, so the required fraction is 2/5.