Which equation has infinitely many solutions? 5(2x + 4) = 10x - 12
5(2x + 4) = 10(x + 2)
5(2x + 4) = 12x
5(2x + 10) = 20(x + 1)

5(2x + 4) = 10(x + 2)

Step-by-step explanation:

An equation has infinitely many solutions when they end in 0 = 0, that is, both sides are exactly equivalent. In this case, basically, all real numbers are solution, it's like a line under the same line, it's like the reflexive property, every number is equal to itself.

The expression that fulfil that definition is the second one, because:

5(2x + 4) = 10(x + 2)

10x + 20 = 10x + 20

10x - 10x = 20 - 20x

0 = 0

Therefore, it's demonstrated that the second equation has infinite solutions, that is, all numbers are solutions.

B.

Step-by-step explanation:

If you distribute 5(2x+4) which gives you 10x+20 and if you distribute 10(x+2) you get 10x+20 and they are both the same which means it has infinitely many solutions.

*Same slope same y-intercept (infinitely many solutions).

*Same slope different y-intercept (No solution).

*Different slope same y-intercept (One solution).

*Different slope different y-intercept (One solution).

answer:

it will cost 480 dollars to refurbish the larger wood floor

step-by-step explanation:

as it's a ratio of 4 that costs 384 dollars, divide the price by the ratio

384 / 4 = 96 dollars

96 dollars per unit of the ratio

now to get the price to refurbish the larger wood floor, times the price by the units

96 * 5 = 480

26 is 33.33% of 78

step-by-step explanation:

26 is what percent of 78?

26 is p% of 78

equation: y = p% * x

solving our equation for p

p% = y/x

p% = 26/78

p = 0.3333

convert decimal to percent:

p% = 0.3333 * 100 = 33.33%