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artcher [175]
4 years ago
13

A copy machine can print

Mathematics
2 answers:
Y_Kistochka [10]4 years ago
3 0

Answer:

1200 copies

Step-by-step explanation:

We can use ratios to solve

480 copies       x copies

------------------ = -------------

4 minutes           10 minutes

Using cross products

480* 10 = 4x

Divide each side by 4

4800/4 = 4x/4

1200 =x

Nikitich [7]4 years ago
3 0

Answer:

1200

Step-by-step explanation:

480/4=120 copies per minute

120x10=1200 copies every 10 minutes

I hope this helps!

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a model house is 2 feet long and 4 feet wide. the real house is 17 feet wide how long is the real house
sineoko [7]
Let N be the length of the real house.
To solve, write the equation in ratio -
    2/4 = N/17
2(17) = 4(N)
 34/4 = 4N/4
  N = 8.5
Therefore, the length of the real house is 8.5
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3 years ago
What is the sum interior angles of a 100-gon?
emmainna [20.7K]

Answer:

Step-by-step explanation:

8 0
3 years ago
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Expand ( x - 1/x^2)^4
emmainna [20.7K]

Answer:

We want to expand the expression:

(x - \frac{1}{x^2} )^4

We can just do it by brute force, this is:

First, rewrite our expression as the product of two square factors:

(x - \frac{1}{x^2} )^4 = (x - \frac{1}{x^2} )^2*(x - \frac{1}{x^2} )^2

Now we can expand each one these two factors:

(x - \frac{1}{x^2} )^2 = (x - \frac{1}{x^2} )*(x - \frac{1}{x^2} ) = x^2 + \frac{1}{x^4} -2*x*\frac{1}{x^2}

That can be simplified to

x^2 - \frac{2}{x} + \frac{1}{x^4}

Now we can replace that in our original expression to get:

(x^2 - \frac{2}{x} + \frac{1}{x^4})*(x^2 - \frac{2}{x} + \frac{1}{x^4})

Now we can expand that last product, to get:

(x^2)^2 + 2*(x^2)*(-\frac{2}{x} ) + 2*(x^2)*(\frac{1}{x^4}) + 2*(\frac{-2}{x})*(\frac{1}{x^4}) + (\frac{-2}{x}  )^2 + (\frac{1}{x^4})^2

We can simplify that to:

x^4 - 4x + 2x^2 - \frac{4}{x^5}  + \frac{4}{x^2} + \frac{1}{x^8}

That is the expanded expression.

6 0
3 years ago
What is the measure of angle 3, in degrees, in the figure shown?
yanalaym [24]

Answer:

38 degrees.

Step-by-step explanation:

There are 180 degrees in a triangle, so

m<1 = 180 - (43 + 74)

=  180 - 117

= 63 degrees.

m < 2 = m < 1   ( opposite angles) so

m < 2 = 63 degrees.

Finally, m < 3 = 180 - (63 + 79)

== 180 -  142

= 38 degrees.

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36 degrees

Step-by-step explanation:

4 0
3 years ago
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