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a patient needs 2.0 grams of medication every 6 hours. The medication is given in tablets. Each tablet contains 250mg of medication. How many tablets must the patiant take per day?

Respuesta :

znk

Answer:

[tex]\large \boxed{32}[/tex]

Explanation:

[tex]\text{Dosage rate} = \dfrac{\text{2.0 g}}{\text{6 h}}[/tex]

We must convert this measurement to units of "tablets per day".

1. Convert grams to milligrams

[tex]\text{Mass} = \text{2.0 g} \times \dfrac{\text{1000 mg}}{\text{1 g}} = \text{2000 mg}[/tex]

2. Convert milligrams to tablets

[tex]\text{No. of tablets} = \text{2000 mg} \times \dfrac{\text{1 tablet}}{\text{250 mg}} = \text{8.0 tablets}[/tex]

3. Convert hours to days

[tex]\text{Time} = \text{6 h} \times \dfrac{\text{1 da}}{\text{24 h}} = \text{ 0.25 da}[/tex]

4. Calculate the tablets per day

[tex]\dfrac{\text{2.0 g}}{\text{6 h}} = \dfrac{\text{8.0 tablets}}{\text{0.25 da}} = \textbf{32 tablets per day}\\\\\text{The patient must take $\large \boxed{\textbf{32 tablets per day}}$}[/tex]

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