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3 years ago

A copy machine makes 24 copies per minute. how many copies does it make in 5 minutes and 30 seconds

2 answers:

7 0

Do 24÷5.5
5.5 because 5 min and the 30 sec.=5.5 (30 sec. is half of a minute 1/2=.5)
so 24÷5.5=4.363636364 round it up to 4.4

enot [183]3 years ago

6 0

In 1 minute the copy machine copies = 24
That means
In 60 seconds the copy machine copies = 24
First we need to convert 5 minutes and 30 seconds to seconds
Then
5 minutes and 30 seconds = (5 * 60) + 30
   = 300 + 30
   = 330 seconds
So
In 330 seconds the copy machine will copy = (24/60) * 330
   = 4 * 33
   = 132
So in 5 minutes and 30 seconds the copy machine will copy 132 copies.

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Which expressions are equivalent to 2 (three-fourths x + 7) minus 3 (one-half x minus 5)? Check all that apply.

Mariulka [41]

Answer:

$2(\frac{3}{4}x+7)+(-3)(\frac{1}{2}x+(-5))$

$2(\frac{3}{4}x)+2(7)+(-3)(\frac{1}{2}x)+(-3)(-5)$

Step-by-step explanation:

The original expression given in the text is

$2(\frac{3}{4}x+7)-3(\frac{1}{2}x-5)$ (1)

And we want to check to what other expressions is equivalent. First of all, we solve it by writing explicitely each term:

$\frac{3}{2}x+14-\frac{3}{2}x+15$ (2)

Let's verify each of the other expressions separately. For the first one:

$2(\frac{3}{4}x+7)+(-3)(\frac{1}{2}x+(-5))$

We see that this is equivalent to expression (1), since the first half is identical, while in the second one, the combination "+-" can be simply written as "-", so we get

$2(\frac{3}{4}x+7)-3(\frac{1}{2}x-5)$

Which is equivalent to (1).

For the 2nd one:

$2(\frac{3}{4}x)+2(7)+3(\frac{1}{2}x)+3(-5)$

This is not equivalent. In fact, here we have applied the distributive property to each term: however, the 3rd and 4th term are not correct, because the (3) must be negative (-3), as in the original expression.

If we write it explicitely in fact, we get

$\frac{3}{2}x+14+\frac{3}{2}x-15$

Which is different from (2).

For the 3rd one:

$2(\frac{3}{4}x)+2(7)+(-3)(\frac{1}{2}x)+(-3)(-5)$

This one is equivalent. In fact, here we have applied the distributive property correctly. By solvign each term we get:

$\frac{3}{2}x+14-\frac{3}{2}x+15$

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3 years ago

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Dmitrij [34]

Hello there!

The answer to this question will be answer choice A.

When using the SAS postulate, we need two pairs of sides and the pair of the angles between those two sides to be congruent.

It is given that one pair of sides are congruent, along with a pair of congruent angles.

We want the congruent angle to be between two congruent sides, thus AC must be congruent to EC in order for these triangles to be proven congruent by the SAS postulate.

Hope this helps and have an awesome day! :)

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3 years ago

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mash [69]

Answer:

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Step-by-step explanation:

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tresset_1 [31]

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Anna [14]

Answer: The 2nd option is correct.

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