All of the machines are kept cool be circulating cold water through them. the water makes one complete cycle through a 30-foot long tube every 12 seconds. correctly complete the statement about the distance traveled by the water in 3 minutes and the number of cycles the water makes in two minutes.

It will travel 450ft in 3 minutes and it will make 10 cycles in 2 min.

Step-by-step explanation:

divide 60 by 12 to see how many cycles it takes in one minute; the answer is 5. Multiply 3 times 5 to see how many cycles it will take in 3 minutes; the answer is 15. Then do 15 times 30 because it will go 30 feet 15 times; the answer is 450ft.

the water makes 5 cycles per minutes. Multiply 5 time 2 because we need to know how many cycles it will take in 2 minutes; the answer is 10.

infinitely many solutions

step-by-step explanation:

we have been given the equation;

2(2x + 3) = -4 + 2(2x + 5)

we need to determine the value of x.

2(2x + 3), we expand this expression to obtain 4x + 6

similarly 2(2x + 5) will become 4x + 10

now we have;

4x + 6 = -4 + 4x + 10

4x + 6 = 4x + 10 - 4

4x + 6 = 4x + 6

the expression on the left hand side is identical to the one on the right hand side. therefore, we are looking at just a single straight line whose equation is;

y = 4x + 6

consequently, we shall have infinitely many solutions

v = 1/3 a^2h

step-by-step explanation:

if the height is 57.7cm and the height of the slant edge is 18.2cm, then the volume is 1/3 a^2h.