Final answer:
To calculate the patient's total liquid intake in milliliters, convert each liquid volume to milliliters using the provided conversion factor and then sum the values. The total, when rounded to the nearest milliliter, is 1137 mL.
Step-by-step explanation:
The patient's total intake in milliliters can be calculated by converting each type of liquid to milliliters and then adding them up. For the juice, we have 6 ounces which, using the conversion factor 1 ounce = 29.9 milliliters, translates to 6 x 29.9 mL = 179.4 mL. For the water, since there are 8 ounces in a cup and the patient drank 3 cups, we have 3 cups x 8 ounces/cup x 29.9 mL/ounce = 718.8 mL. A half pint of milk is the same as 8 ounces (since there are 16 ounces in a pint), which would be 8 x 29.9 mL = 239.2 mL. Adding all these amounts gives us a total intake of 179.4 mL + 718.8 mL + 239.2 mL = 1137.4 mL. When we round this to the nearest milliliter, we get 1137 mL.