Answer: x=-2 and y=-2
Step-by-step-explaination:
To solve the system of equations you have to cancel out a variable. I chose to cancel out Y. First, the coefficients of y need to be the same in both equations. To do this multiply to the top equation by 2 so you get
2(2x) +2(y) = 2(-6)
4x + 2y = -12
Next, subtract the second equation from the first to cancel out the y’s
4x + 2y =-12
-(-8x + 2y = -12)
————————
12x = -24
Solve
X = -24/12
X=-2
Plug x into the original equation to find y
2(-2) + y = -6
-4 + y = -6
Y = -6 +4
Y=-2
You can substitute x and y into the original equations to double check
When we partition a number line from 0 to 1 into six, each segment has a length of 1/6 and the segments are:
1/6. 2/6. 3/6, 4/6, 5/6 , 6/6
Breaking 2/6 into 4 equal parts, we get each part equal to 1/12
Answer:
2S + J = 24000
Step-by-step explanation:
let Susan be S
let Jinan be J
they paid 24000
susan paid twice as muh as jinan did
2S + J = 24000
therefore equation is
2S + J = 24000
Answer: 
Step-by-step explanation:
Given
The length of the rectangular prism is 
width of the rectangular prism is 
height of the rectangular prism is 
The surface area of the rectangular prism is ![2[wl+lh+hw]](https://tex.z-dn.net/?f=2%5Bwl%2Blh%2Bhw%5D)
Put the values
![\Rightarrow 2[8\times 12+15\times 12+15\times 8]\\\Rightarrow 2[96+180+120]=2\times 396\\\Rightarrow 792\ m^2](https://tex.z-dn.net/?f=%5CRightarrow%202%5B8%5Ctimes%2012%2B15%5Ctimes%2012%2B15%5Ctimes%208%5D%5C%5C%5CRightarrow%202%5B96%2B180%2B120%5D%3D2%5Ctimes%20396%5C%5C%5CRightarrow%20792%5C%20m%5E2)
The surface area of the rectangular prism is
Answer:
The solution required per dosage is 3 mL and 9.175 mL of solution is required for the recommended dosage in a day.
Step-by-step explanation:
As the weight of the child is given as 27 lbs. Converting it to kgs as
1 kg =2.2042 lb
So 27 lbs=27/2.2042 kg
The weight of the kid in kg is 12.247 kg.
As the recommended dosage is 0.3 mg/kg/hour so for the weight of the kid the recommended dosage for the day is given as
Recommended dosage=0.3*12.247 =3.67 mg per day
As the concentration is given as 2 mg/5mL
So for each dose the solution is found as
Solution per dose is as Dose Value/Concentration=1.2/(2/5)=3 mL
So the solution required per dosage is 3 mL
Now for the solution required per day is given as
Solution per day is as =Dose Value/Concentration=3.67/(2/5)=9.175 mL
So 9.175 mL of solution is required for the recommended dosage in a day.
