Answer: The answer is x=2/3
Step-by-step explanation: This is the linear equation to solve it we have to take 6x to the other the sign will change to be negative then divide both sides by 3
3x=6x-2
3x-6x=-2
3x=-2
x=2/3
Answer:
x=4²-((3×2)÷2)
x=13
Step-by-step explanation:
assuming this is a right triangle (90dgr)
area of the square... a×a
area of the right triangle..= (width×height) ÷2
Answer:
The plates will not fit into the box.
Step-by-step explanation:
Each plate is 0.5 inches tall; therefore, the stack of 8 plates will have a height of
.
Also, the diameter of the largest plate is 10 inches or has a radius of 5 inches, which matches the radius of the cylindrical box; therefore, we know that the stack of plates can fit into the base area of the cylindrical box.
What we want to figure out now is the height of the cylindrical box <em>to see if it is greater than or equal to 4 inches</em>—<em>the height of the stack of plates. </em>
The volume of a cylinder is
, and since for our cylindrical box the volume is 150 cubic inches; therefore,

putting in
and solving for height
we get

,
which is not greater than 4 inches, which means the plates will not fit into the box since the height of the stack is greater than the height of the box.
You can use elimination by adding the two equations to "cancel out" one of the variables. in this example y will cancel out.
2x + y = 3
+
2x - y = 4
________
2x = 6
x = 3
now that we know our x value, we can plug it into one of the other equations to get our y value.
2(3) + y = 3
6 + y = 3
y = -3
your answer for this system is x=3, y=-3
If water and oil are combined in a container, the resulting liquid is C.emulsion.