To solve the problem we must establish two equations.
let x be the mass of the 20 cents almonds
y be the mass of the 36 cents mixture
first equation is:
x + 40 = y
the second equation is:
0.2x + 40(0.4) = 0.36y
solving the equations simultaneously
x = 10 lb of the 20 cents almonds is needed to mix
A good place to start is getting your first equation into the standard y=mx+b form.
It would be y=-4x+1 and y=4x-1
Then we can set them equal to each other, solve for x, and see what happens.
-4x+1=4x-1
1=8x-1
2=8x
X=1/4
Now to solve for the y value you plug .25 in for x in either equation. You’ll get zero. Therefore your lines will intersect at (.25,0)
Hope this helped!
There are only 3 patterns that exceed the sum of 10 which are: 5-6,6-5,6-6.
Which gives us 33 patterns. Which makes 33 sums not greater than 10.
The expression is the same but know explain in the same way