Amachine can stamp 40 envelopes in 8 minutes. how many of these machines, working simultaneously, are required or needed to stamp 120 envelopes per minute?

The number of machines, working simultaneously, that are required or needed to stamp 120 envelopes per minute is 3 machines.

Given the following data:

To find how many machines, working simultaneously, are required or needed to stamp 120 envelopes per minute:

In order to solve this mathematical problem, we would use direct proportion.

By direct proportion:

40 envelopes = 8 minutes

120 envelopes = X minutes

Cross-multiplying, we have:

X = 24 minutes

For the number of machines:

Machine = 3 machines

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Divide 40 by 8 minutes to find the quantity per minute for one machine:

40 / 8 = 5 per minute.

One machine does 5 envelopes per minute.

Now divide 120 by 5 to find the number of machines needed:

120 / 5 = 24

24 machines would be needed.

when rotating a figure 180 degrees, imagine that you are able to take the figure and turn it clockwise or counterclockwise around a center point. to rotate a figure 180 degrees, you will need to apply the rule (x, y) → (-x, -y). start by using a coordinate grid with coordinates for each vertex of the figure. the center point of the coordinate grid is located at (0, 0), which is what you will rotate the figure around. write down the original coordinates of the shape you are going to rotate. then, apply the rule. for example, coordinate (1, 2) becomes (-1, -2). another example would be, coordinate (-4, -2) becoming (4, 2). after you change each original coordinate to the rotated coordinate, you will draw your new figure.

step-by-step explanation:

answer: 80,000

step-by-step explanation:

the population doubles every day.

10,000*2=20,000 day 4

20,000*2=40,000 day 5

40,000*2=80,000 day 6