remember that you can do anything to an equation as long as you do it to both sides
remember the distributive property: a(b+c)=ab+ac
also commutative property of addition: a+b=b+a
so
6(6x-2)+8(1-5x)=2x
distribute
6(6x-2)=6(6x)+6(-2)=36x-12
8(1-5x)=8(1)+8(-5x)=8-40x
36x-12+8-40x=2x
group like terms
36x-40x-12+8=2x
add like terms
-4x-4=2x
add 4x to both sides to get x by itself
4x-4x-4=2x+4x
0-4=6x
-4=6x
divide both sides by 6
-4/6=(6x)/6
-2/3=x(6/6)
-2/3=x(1)
-2/3=x
x=-2/3
the solution is x=-2/3
Answer:
sorry but i need the points <3
Step-by-step explanation:
Answer:
5
Step-by-step explanation:
It’s easier to see with actual numbers therefore, since you are not given a total, say there are 20
Which means, 10 are peanuts, 5 are chocolate candies and 5 are dried fruit.
Out of the 20 options, there are 5 that are the chocolate candies.
This means there is a 5 in 20 chance you will pick the chocolate candies.
5/20 = ¼ (i.e. the likelihood to pick one is the same as the fraction of chocolate candies the bag contains)
The region in the <em>x</em>-<em>y</em> plane is the set of points
The height of the solid falls between the <em>x</em>-<em>y</em> plane (for which <em>z</em> = 0) and the equation of the plane, <em>z</em> = 3<em>x</em> + 2<em>y</em>.
So the volume is
