The percent increase in americans in prison for drug related offenses from 1980 to 2015 was 1048%. in 1980 the number of americans in prison for drug related offenses was 40,900. how many american's were in prison for drug related offenses in 2015?

469,532 Americans

Step-by-step explanation:

The number of Americans in prison for drug related offenses from 1980 = 40,900

Percentage increase = 1048%

Let the number of people in prison for drug related offenses in 2015 be 'x'

Percentage increase =

=

x = (1048 × 409) +40,900

x = 428632 +40,900

x = 469532

469,532 Americans were in prison for drug related offenses in 2015.

step-by-step explanation:

equation

you are asked to write the equation

  expression = 0

using the given expression. when you do that, you have

  2x^2-2x-12 = 0

factoring

you can see that each of the coefficients is even, so a factor of 2 can be removed immediately.

  2(x^2 -x -6) = 0

if you multiply the binomials (x+a)(x+b), you get

  (x +a)(x +b) = x^2 +(a+b)x +ab

this tells you the coefficient of x is the sum of two factors of the constant term. here, that means -1 is the sum of two factors of -6. we want to know those factors so we can factor the trinomial.

  -6 = -1×6 = -2×3 = -3×2 = -6×1

the factor pair that sums to -1 is {-3, 2}, so our factorization is

  2(x -3)(x +2) = 0

solutions

the solutions to this equation are the values of x that make the product zero. a product is zero only when only of the factors of the product is zero. here, that means

  x - 3 = 0

  x = 3 . . . add 3 to both sides of the equation

or

  x +2 = 0

  x = -2 . . . add -2 to both sides of the equation

the solutions to the equation are x=3 or x=-2. both of these values of x satisfy the equation—they make it be true.

36/60

36/2=18

60/2=30

18/30

18/3=6

30/3=10

6/10

6/2=3

10/2=5

your final answer would be 3/5 of an

hope this !