Final answer:
To determine how many milliliters are needed for a 3 mg dose from a drug concentration of 50 mg/10 ml, set up a proportion and solve for x, which yields 0.6 ml.
Step-by-step explanation:
The question is asking how many milliliters are needed for a 3 mg dose given that the drug concentration is 50 mg/10 ml. To solve this, we can set up a proportion:
50 mg : 10 ml = 3 mg : x ml
Multiply across the diagonals (cross-multiplication):
(50 mg) * x = (3 mg) * (10 ml)
50x = 30
Divide both sides by 50 to solve for x:
x = 30 / 50
x = 0.6 ml