The square root of 290 is 17.0294.
Given:
The system of equations is
...(i)
...(ii)
To find:
The number that must be multiplied with the second equation to eliminate the y-variable.
Solution:
Coefficient of y variable in equation (i) is 3 and in equation (ii) is -1.
To eliminate y-variable the absolute value of coefficients of y-variables should be same.
So, we need to multiply the second equation by 3 to eliminate the y-variable
Multiplying equation (ii) by 3, we get
...(iii)
Adding (i) and (iii), we get
Divide both sides by 7.
Put x=12 in (i).
Divide both sides by 10.
Therefore, x=12 and y=10.
Answer:
The last dose will be administered at 6 P.M.
Step-by-step explanation:
This problem can be solved by direct rule of three.
The problem states that each tablet has 75mg of medication, and that every 3 hours, 2 tablets are administered.
So
1 tablet - 75mg of medication
2 tabets - xmg of medication
x = 150mg
It means that in each dose, 150mg of medication are administed.
At 6am, as the first dose is administered, the patient will have taken 150mg of medication. In how many doses will the patient have been administed 750mg?
1 dose - 150mg
x doses - 750mg
150x = 750
x = 5 doses.
The doses are administed in intervals of 3 hours. After the first dose, there will be 4 doses remaining. So it will take 4*3 = 12 hours to administer 4 doses.
So, if the first dose is administed at 6am, the last is going to be administed at 6h+12h = 18h = 6P.M.
