Answer:
<em>x = -10</em>
Step-by-step explanation:
(9/2)(8 - x) + 36 = 102 - (5/2)(3x + 24)
Multiply both sides by 2.
9(8 - x) + 2 * 36 = 2 * 102 - 5(3x + 24)
Distribute on both sides.
72 - 9x + 72 = 204 - 15x - 120
Combine like terms on each side.
144 - 9x = 84 - 15x
Subtract 144 from both sides. Add 15x to both sides.
6x = -60
Divide both sides by 6.
x = -10
18/60 which is equal to 3/10
So you just need to put it into proportions which is blue to total. The total is 60 and there is 18 blue. Then you only need to simplify.
Answer:
Yes, but it is not linear. It is exponential : 
Step-by-step explanation:
On the first day we have 5 bacteria.
On the second day we will have 5*2 = 10 bacteria.
On the third day we will have 10*2 = 5*2*2 = 5*2^2 = 20 bacteria.
On the fourth day we will have 20*2 = 5*2*2*2 = 5*2^3 = 40 bacteria.
We can see that
,
where x is a number of days and f(x) gives us the number of bacteria.