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3 years ago

9

A new health drink has 110% of the recommended daily allowance (RDA) for a certain vitamin. The RDA for this vitamin is 30 mg. H

ow many milligrams of the vitamin are in the drink

2 answers:

artcher [175]3 years ago

6 0

$p\%=\frac{p}{100}\\\\110\%=\frac{110}{100}=1.10=1.1\\\\110\%\ of\ 30mg=1.1\ of\ 30mg=1.1\cdot30mg=\boxed{33mg}$

ICE Princess25 [194]3 years ago

4 0

110% of 30 is 30*(110/100)=30*1.1=33 mg

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We can do it this way.

First, let us clear off the powers by multipying each number by

${10}^{5}$

This implies that,

$1.25 \times {10}^{ - 1} = 1.25 \times {10}^{ - 1} \times {10}^{5}$

$\implies \: 1.25 \times {10}^{ - 1} = 125 \times {10}^{ - 2} \times {10}^{ - 1} \times {10}^{5}$

$\implies \: 1.25 \times {10}^{ - 1} =125 \times {10}^{( - 2 - 1 + 5)}$

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$\implies0.025 = 25 \times {10}^{ - 3}=25 \times{10}^{ - 3 + 5}$

$\implies0.025 = 25 \times {10}^{ - 3}=25 \times{10}^{2} = 25 \times 100 = 2500$

$0.025 \times 10=25 \times {10}^{ - 3} \times10 \times {10}^{5}$

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$1.45 \times {10}^{-3} = 145 \times {10}^{ - 2} \times {10}^{ - 3} \times {10}^{5}$

$\implies1.45 \times {10}^{-3} = 145$

$25.4 \times {10}^{ - 4} = 254 \times {10}^{-1} \times {10}^{ - 4} \times {10}^{5}$

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Hence,

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$1.45 \times {10}^{-3}$ ,

$25.4 \times {10}^{ - 4}$ ,

0.025,

$1.25\times {10}^{-1}$ ,

$0.025 \times10$

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