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A certain drug dosage calls for 330 mg per kg per day and is divided into four doses (1 every 6 hours). If a person weighs 210 pounds, how many milligrams of the drug should he receive every 6 hours?Round your answer to the nearest milligram. Do not include units with your answer.

Respuesta :

First, we convert the 210 pounds to kilograms as the dose is given in mg per kg.

Recall that:

[tex]1pound=0.453592\text{ kilograms.}[/tex]

Therefore:

[tex]210\text{ pounds=95.2544 kilograms.}[/tex]

The dose call for 330 mg per kg, therefore, to get the dose for 95.2544 kg, we multiply by 95.2544:

[tex]330*95.2544\text{ mg=31433.952mg.}[/tex]

Finally, dividing by 4 we get the dose the person should receive every 6 hours:

[tex]7858.488mg\approx7858mg.[/tex]

Answer:

[tex]7858.[/tex]

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