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nirvana33 [79]
3 years ago
5

A machine can stamp 40 envelopes in 8 minutes. How many of these machines, working simultaneously, are required or needed to sta

mp 120 envelopes per minute?
Mathematics
1 answer:
ziro4ka [17]3 years ago
8 0

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.

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If AB= 5 what is the exact length of BD in square ABCD ​
Afina-wow [57]

Answer:

sqrt 50

Step-by-step explanation:

First of all this is a square so if AB = 5, then AD is also 5.

Let's get rid of the other triangle and only focus on triangle ABD.

Using Pythagorean theorem we are able to solve this problem.

The Pythagorean Theorem basically states that:

a^2 + b^2 = c^2

Where a and b are the legs and c is the hypotenuse, aka the thing that we are trying to solve for right now.

Substitute these numbers in: 5^2 + 5+2 = c^2

Solve: 50 = c^2

c= sqrt 50

^ and that is our answer!

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