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kramer
3 years ago
15

6.3 is 7% of what number

Mathematics
1 answer:
Naya [18.7K]3 years ago
7 0
7\%=\frac{7}{100}=0.07\\\\x-the\ number\\\\0.07x=6.3\ \ \ \ \ |divide\ both\ sides\ by\ 0.07\\\\x=\frac{6.3}{0.07}\\\\x=\frac{630}{7}\\\\\boxed{x=90}\leftarrow answer
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<h2>Hello!</h2>

The answer is: The correct dose of medication to give is 5.6 mL

<h2>Why?</h2>

To solve this problem we need to establish a relationship between the prescripted medication and the available solution.

Let's write the needed equations to establish the relantionship:

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The available solution means 125 mg each 5 mL of solution, so:

\frac{125mg}{5mL}=\frac{140mg}{x}\\\\x*\frac{125mg}{5mL}=140mg\\\\x=140mg*\frac{5ml}{125mg}=\frac{700mg*mL}{125mg}=5.6mL

Hence, the correct dose of medication to give is 5.6 mL of the 125 mg/5mL solution.

Have a nice day!

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