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Juli2301 [7.4K]
3 years ago
12

5 5/3 as a simplified radical expression

Mathematics
1 answer:
harina [27]3 years ago
5 0
\bf a^{\frac{ n}{ m}} \implies  \sqrt[ m]{a^ n} 
\qquad \qquad
\sqrt[ m]{a^ n}\implies a^{\frac{ n}{ m}}\\\\
-------------------------------\\\\
5^{\frac{5}{3}}\implies \sqrt[3]{5^5}\implies \sqrt[3]{5^{3+2}}\implies \sqrt[3]{5^35^2}\implies 5\sqrt[3]{5^2}\implies 5\sqrt[3]{25}
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How many liters of glycerin should be added to 12 liters of an 8% glycerin solution so that the resulting solution contains 16%
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1.143 liters of glycerin should be added to 12 liters of an 8% glycerin solution so that the resulting solution contains 16% glycerin.

For given question,

Let x be the quantity ( in liters ) of glycerin added to 12 liters of an 8% glycerin solution so that the resulting solution contains 16% glycerin,

Thus,

Quantity of glycerin in 12 liters + Quantity of glycerin in x

= Quantity of glycerin in resultant mixture.

⇒ 8% of 12 + 100% of x = 16% of (12 + x )

⇒ 0.08 × 12 + x = 0.16 × ( 12 + x )

⇒ 0.96 + x = 0.16 × 12 + 0.16x

⇒ 0.96 + x = 1.92 + 0.16x

⇒ x - 0.16x = 1.92 - 0.96

⇒ 0.84x = 0.96

⇒ x = 1.143 liters

Therefore, 1.143 liters of glycerin should be added to 12 liters of an 8% glycerin solution so that the resulting solution contains 16% glycerin.

Learn more about the resulting solution here:

brainly.com/question/12051765

#SPJ4

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