2 years ago

What are two equivalent ratios of 12:7

2 answers:

5 0

12x:7x for any value of x will be an equivalent ratio. So, for example 144:84, and 84:49 are equivalent ratios that can be simplified down to 12:7

kozerog [31]2 years ago

4 0

24:14 and 36:21 are both equivalent ratios to 12:7

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Aloiza [94]

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2 years ago

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scoundrel [369]

$\dfrac{c^2-4}{6c^4+15c^3}\div\dfrac{c^2+4c+4}{12c^3+30c^2}=\dfrac{c^2-2^2}{3c^3(2c+5)}\div\dfrac{c^2+2(c)(2)+2^2}{6c^2(2c+5)}\\\\_{\text{use}\ a^2-b^2=(a-b)(a+b)\ \text{and}\ (a+b)^2=a^2+2ab+b^2}\\\\=\dfrac{(c-2)(c+2)}{3c^3(2c+5)}\cdot\dfrac{6c^2(2c+5)}{(c+2)^2}=\dfrac{(c-2)}{c}\cdot\dfrac{2}{(c+2)}=\boxed{\dfrac{2(c-2)}{c(c+2)}}$