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mestny [16]
1 year ago
7

A printer takes 7 minutes to print a document with 63 pages. How many pages

Mathematics
1 answer:
Artemon [7]1 year ago
5 0

Create a proportion.

Since it takes 7 minutes to print 63 pages, and half an hour is 30 minutes, you create two ratios(unit per unit) and line up the units(minutes to minutes, pages to pages).

\frac{7 min}{63 pages} = \frac{30 min}{Xpages}

Now you cross multiply, 63 * 30 = 1890 and 7 * x = 7x.

So we have 1890 = 7x.

Then we divide both sides by seven.

\frac{1890}{7} = \frac{7x}{7}

270 = x, therefore you can print 270 pages in half an hour :)

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The difference of the square of a number and 4 is equal to 3 times that number. Find the negative solution.
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The negative solution is x = –1.

Solution:

Let the number be x.

Square of a number = x²

3 times a number = 3x

Difference of square of a number and 4 = 3 times that number

\Rightarrow x^2-4=3x

Subtract 3x from both sides of the equation, we get

\Rightarrow x^2-3x-4=0

–3x can be written as x – 4x.

\Rightarrow x^2+x-4x-4=0

\Rightarrow( x^2+x)+(-4x-4)=0

1st bracket have common term x and bracket have –4 common term.

\Rightarrow x( x+1)-4(x+1)=0

Take common term x + 1 outside.

(x+1)(x-4)=0

<em>By zero factor principle, if AB = 0 then A = 0 or B = 0.</em>

x + 1 = 0,   x – 4 = 0

x = –1,   x = 4

The negative solution is x = –1.

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Step-by-step explanation:

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