There is 50 mg of drug in each ml of solution. how many ml should be administered to achieve 400 mg of drug?

8mL should be administered to achieve 400 mg of drug

Step-by-step explanation:

This problem can be explained as a simple rule of three.

In a rule of three problem, the first step is identifying the measures and how they are related, if their relationship is direct of inverse.

When the relationship between the measures is direct, as the value of one measure increases, the value of the other measure is going to increase too. In this case, the rule of three is a cross multiplication.

When the relationship between the measures is inverse, as the value of one measure increases, the value of the other measure will decrease. In this case, the rule of three is a line multiplication.

In this problem, the measures are:

- The dose of the drug

- The number of mL of the solution

As the dose of the drug increases, so will the number of mL in the solution. This means that the relationship between the measures is direct, and we have the following rule of three:

50mg - 1mL

400 mg - xmL

50x = 400

x = 8mL

8mL should be administered to achieve 400 mg of drug

dc=6 square root of 3 and ac is 12 square root 3

c and d

step-by-step explanation:

square root of 3/2 = 18/c

cross multiply to get 18*2=√3*c

36/√3 * √3/√3 = c

c= 36*√3/3

c=12√3