Don't be fooled.
The first thing Wyatt did was multiply through by 2. The left and right sides were both multiplied by two which makes it 12 on the right and 2x + (6x - 4) on the left. The 1/2 is gone on the left.
It only looks like he used the distributive property because the brackets were removed between recorded steps.
The second thing he did was to collect like terms on the left.
The third thing he did was to add four on both sides of the left and right.
The last thing he did was to divide by 8.
Both A and C are wrong. He did not use the distributive property in any of those steps.
B <<<<< Answer.
Simplifying 0.20 = x^2 / (25 - x):
Multiply both sides by (25 - x)
0.20(25 - x) = x^2
Distributing 0.20:
5 - 0.20x = x^2
Placing all equations on to one side:
x^2 + 0.20x - 5 = 0
Where:
a = 1
b = 0.20
c = -5
If it's January then 31 days/month.
conditional p --> q
TRUE - January has 31 days/month
converse q --> p
If there's 31 days/month then it's January
FALSE - October has 31 days
Inverse ~p --> ~q
if it's not January then it's not 31 days/month
FALSE - It could be October or December which have 31 days/month
Contrapositive ~q --> ~p
If there's not 31 days/month then it's not January.
TRUE - January must have 31 days/month
1/2 plus 1/3 is 5/6.
You have to find the common denominator
seven less than the quotient of nineteen and a number.