Divide the first equation by 2 and add the result to the second equation. This will eliminate x.
... (-4x -2y)/2 + (2x +4y) = (-12)/2 +(-12)
... 3y = -18 . . . . . collect terms
... y = -6 . . . . . . . divide by 3
Substitute this into either equation to find x. Let's use the second equation, where the coefficient of x is positive.
... 2x +4(-6) = -12
... 2x = 12 . . . . . . . . add 24
... x = 6 . . . . . . . . . . divide by 2
The solution is (x, y) = (6, -6).
Answer:
Step-by-step explanation:
The volume of a cylinder is expressed as
V = πr^2h
Where
π is a constant
h is the height of the cylinder
The volume of a cone is expressed as
V = 1/3πr^2h
Where
π is a constant
h is the height of the cone
If the cylinder and a cone have congruent bases and the same volume, it means that
πr^2h = 1/3πr^2h
πr^2 cancels out on both the left hand side and right hand side of the equation. It becomes
h = h/3
It means that the height of the cone is 3 times the height of the cylinder. Therefore,
If height of cylinder = 4 cm, height of cone = 12 cm
Answer:
$2.50 per ounce
Step-by-step explanation:
12.5/5=2.5
Answer:
c)
Step-by-step explanation:
