This is your perfect answer
Answer:
Step-by-step explanation:
Simplifying
4x + 2y = 18
Solving
4x + 2y = 18
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-2y' to each side of the equation.
4x + 2y + -2y = 18 + -2y
Combine like terms: 2y + -2y = 0
4x + 0 = 18 + -2y
4x = 18 + -2y
Divide each side by '4'.
x = 4.5 + -0.5y
Simplifying
x = 4.5 + -0.5y
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Simplifying
y = -2 + 9
Combine like terms: -2 + 9 = 7
y = 7
Solving
y = 7
Solving for variable 'y'.
Move all terms containing y to the left, all other terms to the right.
Simplifying
y = 7
The linear combination method is the same as the elimination method. Let's multiply the second equation by -2 so the x terms cancel each other out. When we do that we get a system of
and
. The x-terms cancel each other out giving us
and y = -3. Now sub -3 into one of the equations to solve for x. x+2(-3)=-4, and x - 6 = -4. x = 2. So the solution for our system is (2, -3)
Answer:
5 small containers will be required and used.
This water is used to fill four and half small containers exactly.
4.5 small containers
Step-by-step explanation:
The rectangular container has dimensions 12*12*45 cm and the small container has dimensions 6*5*8 cm
The rectangular container with a square base is 2/3 full of water.The height is used up to 45*2/3= 7.5 cm
The volume of the water in the rectangular container with a square base is
12*12*7.5= 1080 cm³
The volume of the water in the smaller container is
6*5*8= 240 cm³
Number of smaller containers required = Volume of large container / Volume of smaller container
Number of smaller containers required =1080 cm³/240 cm³= 4.5
This water is used to fill four and half small containers exactly.
If it is a perfect cube, the volume would be 5•5•5 or otherwise known as 5 to the third power. your answer would be 125