A doctor orders a dosage of 5 ml of medicine every 4 hours for 8 days how many fluid ounces of medicine should be purchased
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First work out how many ml are required.
24 hours in a day, every 4 hours needs medicine. So six times a day needs medicine
6 x 8 = 48 doses
each dose is 5 ml
48 x 5 = 240 ml required
each ml is 0.033814 ounces
240 x 0.033814 = the ounces that need to be purchased.
To solve this problem, we need to convert the given dosage from milliliters (ml) to fluid ounces (fl oz) and then calculate the total amount of medicine needed for 8 days.
1. Convert 5 ml to fluid ounces:
1 ml is approximately equal to 0.0338 fluid ounces. So, to convert 5 ml to fluid ounces, we multiply 5 by 0.0338:
5 ml * 0.0338 fl oz/ml = 0.169 fl oz
So, each dosage of 5 ml is equal to approximately 0.169 fluid ounces.
2. Calculate the total amount of medicine needed for 8 days:
Since the dosage is given every 4 hours, we need to find how many dosages are required in 8 days.
First, find the number of hours in 8 days:
8 days * 24 hours/day = 192 hours
Then, divide the total hours by the duration between each dosage:
192 hours / 4 hours = 48 dosages
Since each dosage is 0.169 fluid ounces, we can find the total amount of medicine needed by multiplying the number of dosages by the dosage amount:
48 dosages * 0.169 fl oz/dosage ≈ 8.112 fl oz
Therefore, approximately 8.112 fluid ounces of medicine should be purchased.
To solve this problem, we need to calculate the total amount of medicine required for 8 days and then convert it into fluid ounces.
Step 1: Determine the total number of doses needed over 8 days.
Since the doctor orders a dosage of 5 ml every 4 hours, we first need to calculate the number of doses in a day. There are 24 hours in a day, so there are 24 / 4 = 6 doses per day.
Therefore, over 8 days, the total number of doses required is 6 doses/day * 8 days = 48 doses.
Step 2: Calculate the total amount of medicine needed.
Now, we multiply the number of doses (48 doses) by the dosage (5 ml) to determine the total amount of medicine needed.
48 doses * 5 ml/dose = 240 ml
Step 3: Convert milliliters to fluid ounces.
To convert milliliters (ml) to fluid ounces (fl oz), we can use the conversion factor 1 fl oz = 29.5735 ml.
Divide the total amount of medicine (240 ml) by the conversion factor:
240 ml / 29.5735 ml/fl oz ≈ 8.11 fl oz
Therefore, approximately 8.11 fluid ounces of medicine should be purchased.