210 pieces
Step-by-step explanation:
First, you need to figure out how many pieces a single machine can cut in a minute, so you need to divide 105 by 3, which gets you 35 pieces per minute.
Next, since we know there are 6 machines, and one machine canncut 35 pieces per minute, we can the figure out how many pieces all 6 cutting machines can cut in 1 minute. You would do this by making an equation such as this:

The x represents the total number of pieces cut by all 6 machines in one minute.
Next, since we now have an equation, we can go ahead and solve it. We would multiply 35 by 6, which would get us 210 pieces per minute that can be cut by all six machines
<span>Lets find the volume of a cylinder with a diameter D=10 inches and lenght L= 20 inches. First we need to notice that the diameter is twice the size of the radius: D=2r. Then we write the equation for the volume of the cylinder. it is the base times the height: V=pi*r^2 * L. Now we input the nubmers in the equation: V=3.14*(D/2)^2 * L where r=D/2=5 inches and after calculating we get: V=1570 inches^3</span>
Answer:
The last one.
Step-by-step explanation:
I think it's the last one because as x increases by one, y increases by a constant rate of 5. The others don't increase by a constant rate. (I don't know if this is right but I think it is!)
Answer:
Step-by-step explanation:
4x + 4 - 3
= 4x + 1
Yes they both are equivalent because the algebraic expression is same
Answer:
11: 5
Step-by-step explanation:
22 feet: 10 inches Reduce. 22/10 = 11/5