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.
X=34.78 y= 238.8..............
Answer:
The domain of a function is defined as the set of x-values for which the function is real and defined. The first alternative is correct
Step-by-step explanation:
In simplify the expression =
1.56 • 10^52 + 3.5 • 10^48
All we need to do is start with the volume formula. Then, input the volume and solve the equation for the radius. And double it to get the diameter.
V = (4/3)pi(r^3)
12114.7 = (4/3)pi(r^3) Divide both sides by (4/3) and pi
2893.64 = r^3 Take the cube root of both sides
14.25 = r
So the diameter is about 28.5 cm (14.25 x 2 = 28.5)
