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With the recommended dosage of 20.0mg/kg*day the 66.0 lb child must take an oral dosage of 1 Amoxicillin capsule of 200.0 mg every eight hours.
We can calculate the oral dosage (D) for a 66.0 lb child, with the recommended dosage.
[tex] D = 20.0 \frac{mg}{kg*day}*m_{child} [/tex]
The mass of the child must be in kg, so we need to convert 66.0 lb to kg:
[tex] m_{child} = 66.0 lb*\frac{0.4536 kg}{1 lb} = 29.94 kg [/tex]
Now, the dosage is:
[tex] D = 20.0 \frac{mg}{kg*day}*29.94 kg = 598.8 mg/day [/tex]
The dosage every 8 hours will be:
[tex] D = 598.8 mg/day*\frac{1 day}{24 h} = 24.95 mg/h*8 h = 199.6 mg [/tex]
Since we have 200.0 mg of Amoxicillin in 1 capsule, the amount needed is:
[tex] X = \frac{1 \: capsule}{200.0 mg}*199.6 mg = 0.998 = 1 \: capsule [/tex]
Therefore, the child must take 1 capsule of 200.0 mg of Amoxicillin every 8 hours.
You can see another example of dosage calculation here: https://brainly.com/question/24133252?referrer=searchResults
I hope it helps you!