A doctor orders 4.0 mL of phenobarbital the phenobarbital is available as 30 mg per 7.5 mL, how many milligrams is given to the patient? Express your answer to two and include the appropriate units
First, we need to determine the number of milligrams of phenobarbital per 1 mL of the solution.
We are given that there are 30 mg in 7.5 mL.
Dividing both sides of this equation by 7.5 gives us 30 mg / 7.5 mL = 4 mg/mL.
Now, we can find the number of milligrams of phenobarbital given to the patient by multiplying the number of milligrams per milliliter by the number of milliliters given.
4 mg/mL * 4.0 mL = 16 mg.
Therefore, 16 milligrams of phenobarbital is given to the patient.
To find the milligrams of phenobarbital given to the patient, we can set up a proportion using the given information:
30 mg / 7.5 mL = x mg / 4.0 mL
We can cross-multiply and solve for x:
30 mg * 4.0 mL = 7.5 mL * x mg
120 mg = 7.5 mL * x mg
Now we can solve for x by dividing both sides of the equation by 7.5 mL:
x mg = (120 mg) / (7.5 mL)
x mg = 16 mg
Therefore, the patient will be given 16 mg of phenobarbital.
To find out how many milligrams of phenobarbital are given to the patient, we need to set up a proportion using the given information.
First, let's find the conversion factor between milliliters (mL) and milligrams (mg).
The given information states that there are 30 mg of phenobarbital in 7.5 mL. Therefore, the conversion factor is:
(30 mg) / (7.5 mL)
Now we can set up the proportion:
(30 mg) / (7.5 mL) = X mg / 4.0 mL
Where X represents the unknown amount of phenobarbital in milligrams that is given to the patient.
We can cross-multiply and solve for X:
(30 mg) * (4.0 mL) = (7.5 mL) * X mg
120 mg * mL = 7.5 mL * X mg
Dividing both sides of the equation by 7.5 mL:
(120 mg * mL) / (7.5 mL) = X mg
X = 16 mg
Therefore, 16 milligrams of phenobarbital are given to the patient.