Let's look at work rates per minute.
Together they can paint the wall in x minutes.
Working together, in 1 minute, they do 1/x of the job.
The student who paints the wall in 16 minutes does 1/16 of the job in 1 minute.
The student who paints the wall in 24 minutes does 1/24 of the job in 1 minute.
Together, they do 1/16 + 1/24 of the job in 1 minute, but from above, we see that together, they do 1/x of the job in 1 minute, so 1/16 + 1/24 must equal 1/x. That gives us our equation.
1/16 + 1/24 = 1/x
1/16 * 3/3 + 1/24 * 2/2 = 1/x
3/48 + 2/48 = 1/x
5/48 = 1/x
x = 48/5 = 9.6
Answer: It takes them 9.6 minutes, or about 10 minutes to do the job together.
First, square both sides (d.) leaving 3x + 1 = 16
Second, subtract 1 from both sides (a.) leaving 3x = 15
Third, divide by 3 from both sides (e.) leaving x = 5
Answer: First D, then A, then E
Answer:
C. ∠10
Explanation:
A theorem states that the two angle that are in the same side and are opposite to each other, they add up to 180°, which is supplementary.
The answer is c because the two numbers on a number line 16 will be greater then 10
Answer:
y < 4
Step-by-step explanation:
Since the line is dotted, it will be either greater than or less than depending on if it is shaded above or below. It's "y" because the line crosses the y axis, not the x axis.