Which of the following is the quotient of the rational expressions shown below? Make sure your answer is in reduced form.
2x-1
.
x +1
3x?
x² + x
A.
3x2 + 2x - 1
x2 + 2x + 1
B.
2x-1
3x
C.
x² + 32-1
3x2 + x + 1
6x5 - 3x2
D.
++ 2x²+x
E.
6x4 - 3x
x2 + 2x + 1

24 teaspoons of red paint would be needed.

Step-by-step explanation:

Given that the initial mixture contains 8 teaspoons of red paint and 12 teaspoons of blue paint, this mixture contains a total of 20 units of paint, of which 8 are red, that is, 8 out of 20. Therefore, the proportion of red paint is 40%, while the proportion of blue paint is 60% remaining.

Therefore, in the case of making the same mixture (with the same proportion) using 36 teaspoons of blue paint, the necessary amount of red paint is determined through the following calculation:

60 = 36

40 = X

((40 x 36) / 60) = X

1,440 = 60 = X

24 = X

Thus, 24 teaspoons of red paint would be needed.