Solve for y. 2/(y+3)= 3/(3y+9)

y= -3

Step-by-step explanation:

Multiply all terms by the same value to eliminate fraction denominators:

2/y +3 = 3/3y + 9

(3y+9) (y+3) (2/y+3) = (3y +9) (3/3y+9)

Simplify:

6 + 1 8 = 3 + 9

Subtract  18 from both sides of the equation:

6y +18 =3y +9

6y+18 -18 =3y +9 -18

Simplify Again:

6y +3y-9

Subtract  3y from both sides of the equation:

6y =3y -9

6y-3y = 3y -9 -3y

y= -3

linearly: 8560 bacteria

exponentially: approximately 75233 bacteria

step-by-step explanation:

assuming it is not exponential (we would have some really complicated logarithms), let's say it is linear. then, after 5 hours, it increased by 1200 bacteria, so every hour it increases by 240 bacteria. this means that after 19 hours, we get 19 * 240 + 4000 bacteria or 3800 + 760 + 4000 = 7800 + 760 = 8560 bacteria.

because it says round your answer, i will do this exponentially (with a calculator, of course). first, we need to find how much it multiplies by every hour, by taking the 5th root of 52/40 or 13/10. this is approximately 0.167. we still need to add 1 to this, because we are multiplying by that number, not adding that amount of the number. now, we just calculate 4000 * (1.167)^19. use a calculator to get approximately 75232.6, or 75233.

answer is 67%

step-by-step explanation: