Leah is solving the equation below using the properties of exponents.
2^2x-3 =(1/16)^3x+9
here is leah's work:
line 1: 2^2x-3 =(2)^4(3x+9)
line 2: 2^2x-3 =(2)^12x+36
line 3: 2x-3=12x+36
line 4: -3=10x+36
line 5: -39=10x
line 6: -3.9=x

leah checks her answer and realizes she has made a mistake. on which line did leah make a mistake?
what was leah's mistake?

first one because it can't have a fraction in it

step-by-step explanation:

simplifying

5(x + -6) = 2(x + 3)

reorder the terms:

5(-6 + x) = 2(x + 3)

(-6 * 5 + x * 5) = 2(x + 3)

(-30 + 5x) = 2(x + 3)

reorder the terms:

-30 + 5x = 2(3 + x)

-30 + 5x = (3 * 2 + x * 2)

-30 + 5x = (6 + 2x)

solving

-30 + 5x = 6 + 2x

solving for variable 'x'.

move all terms containing x to the left, all other terms to the right.

add '-2x' to each side of the equation.

-30 + 5x + -2x = 6 + 2x + -2x

combine like terms: 5x + -2x = 3x

-30 + 3x = 6 + 2x + -2x

combine like terms: 2x + -2x = 0

-30 + 3x = 6 + 0

-30 + 3x = 6

add '30' to each side of the equation.

-30 + 30 + 3x = 6 + 30

combine like terms: -30 + 30 = 0

0 + 3x = 6 + 30

3x = 6 + 30

combine like terms: 6 + 30 = 36

3x = 36

divide each side by '3'.

x = 12

simplifying

x = 12

this should .

i think the length is 12 and the width is 17

3/20

step-by-step explanation:

well, there are 20 outcomes, and 3 of them you want. so, 3/20