Answer:
The two numbers are <u>15</u> and <u>6</u>.
Step-by-step explanation:
Given:
The difference between two numbers is 9.
The first number plus twice the other number is 27.
Now, to find the two numbers.
Let the first number be
And the other number be
So, the difference between two numbers is 9.
............(1)
As, given the first number plus twice the other number is 27.
According to question:
Substituting the value of from equation (1):
<em>Subtracting both sides by 9 we get:</em>
<em>Dividing both sides by 3 we get:</em>
The other number = 6.
Now, substituting the value of in equation (1):
The first number = 15.
Therefore, the two numbers are 15 and 6.
Answer:
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.
Lucia made a mistake when she rewrote the formula
To rewrite the formula to x is a function of y. we have to add 2y to both sides of the formula. Instead of adding 2y, Lucia subtracted 2y from the right side.
Instead of what she did, x should be written the following way
Answer:
5/4in
Step-by-step explanation:
The initial length:
1 ft = 12 in
8 ft = 8 * 12 in
= 96 in
The final length:
7 ft 10 3/4 in = 7 ft + 10 in + 3/4 in
= 7 * 12 in + 10 in + 3/4 in
= 84 in + 10 in + 3/4 in
= 94 in + 3/4 in
The final length:
96 in - 94 in - 3/4 in = 2 in - 3/4 in = 8/4 in - 3/4 in = 5/4 in