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:-5
Step-by-step explanation:
The formula for working out the total interior is:
180(n-2) = 1260
So let’s rearrange by dividing both sides by 180 and find what n is:
n-2 = 7
Then let’s add 2 to both sides to find what n is:
n=9
Each interior angle is 1260/9 = 140°.
The sum of the interior angle and its corresponding exterior angle is 180°.
Therefore, the polygon has 9 sides. :)
Direct variation is y=kx and inverse variation is y=k/x, in this case:
y=-16/x
So this is an inverse variation with a constant of -16
Answer: $84
Step-by-step explanation: 20% of 875=175; 175+875=1050; 8% of 1050=84, so your final answer would be $84.