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mel-nik [20]
3 years ago
6

Select the ratios whose simplest form is 8/7

Mathematics
1 answer:
Klio2033 [76]3 years ago
7 0
Mixed number fraction:
1 1/7
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A printer takes 7 minutes to print a document with 63 pages. How many pages
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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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Solving quadratic equations with complex solutions x2 + 4x + 8 = 0.
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\large\boxed{x=-2\pm2i}

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x^2+4x+8=0\qquad\text{subtract 8 from both sides}\\\\x^2+4x+8-8=0-8\\\\x^2+2(x)(2)=-8\qquad\text{add}\ 2^2\ \text{to both sides}\\\\x^2+2(x)(2)+2^2=-8+2^2\qquad\text{use}\ (a+b)^2=a^2+2ab+b^2\\\\(x+2)^2=-8+4\\\\(x+2)^2=-4\iff x+2=\pm\sqrt{-4}\\\\x+2=\pm\sqrt{(4)(-1)}\qquad\text{use}\ \sqrt{ab}=\sqrt{a}\cdot\sqrt{b}\\\\x+2=\pm\sqrt4\cdot\sqrt{-1}\qquad\text{use}\ \sqrt{-1}=i\\\\x+2=\pm2\cdot i\qquad\text{subtract 2 from both sides}\\\\x=-2\pm2i

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