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.
Answer:
3.5 Gallons Per Minute or 3.5m
Step-by-step explanation:
Since there is 10.5 Gallons in 3 minutes, do
10.5/3 = <u>3.5</u>
(please mark brainliest if this helps!)
Answer:
Step-by-step explanation:
A circle is named by its center.
Name of the circle: Circle B
∠DCF = 90° {angle on a semicircle is right angle}
Answer:
Step-by-step explanation:
5x - 3y = 6 | 6x - 4y = 2
Multiply the first equation by -6, and the second one by 5:
-30x + 18y = -36 | 30x - 20y = 10
Add them together:
-2y = -26
2y = 26
y = 13
Use which equation you please to solve for x:
5x - 3y = 6
5x - 3(13) = 6
5x - 39 = 6
5x = 45
x = 9
(9, 13)
