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2 years ago

Divide 60 in the ratio 3:9

Mathematics

1 answer:

goldfiish [28.3K]2 years ago

4 0

so the total number is 60, and we can just divide it by (3+9) and then distribute accordingly.

$\stackrel{ratio~3:9}{60}\qquad \qquad 3\cdot \frac{60}{3+9}~~ :~~9\cdot \frac{60}{3+9}\implies 3\cdot \frac{60}{12}~~ :~~9\cdot \frac{60}{12} \\\\\\ 3(5)~~ : ~~9(5)\implies 15~~:~~45$

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2. option D is correct i.e., $\frac{a^3b^4}{ab^2}$ .

3. option B is correct i.e., $\frac{n^{10}}{16m^{6}}$ .

Step-by-step explanation:

1. Since the given equation is:

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As we know that $a^{-x}=\frac{1}{a^x}$

So, the given equation can be represented as:

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2. Given equation is:

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As we know that $a^{-x}=\frac{1}{a^x}$

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by using the properties $a^{-x}=\frac{1}{a^x}$ ,

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$(\frac{4mn}{m^{-2}n^6})^{-2}$

= $(\frac{4n^1n^{-6}}{m^{-2}m^{-1}})^{-2}$

= $(\frac{4n^{1+(-6)}}{m^{-2+(-1)}})^{-2}$

= $(\frac{4n^{-5}}{m^{-3}})^{-2}$

= $\frac{4^{-2}n^{-5\times (-2)}}{m^{-3\times (-2)}}$

= $\frac{n^{10}}{16m^{6}}$ .

which is option B.

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Divide 60 in the ratio 3:9​

Divide 60 in the ratio 3:9