1.
He fills 5/6 lb per bag.
If he fills up 6 bags, he will use 6 * 5/6 lb = 5 lb.
Since he gets peanuts in 2-lb bags, he'd use 2 1/2 2-lb bags.
If he fills double that amount, 10 5/6-lb bags, he will use 10 lb of peanuts which is exactly 5 2-lb bags.
Answer: He should buy 5 2-lb bags.
2.
Each board has length x.
He cuts 3/5 of the length.
Each leftover piece is 2/5 of the length, or 2/5 x.
When he puts together several of the leftover pieces, he has 4 times the length of the original board, or 4x.
4x/(2/5 x) = 4x * 5/2 x = 10x
He has cut 10 boards.
Well, if you look at the expression -4+6+4, the -4 and the +4 cancel eachother out, totaling a 0, so NOW the expression is 0+6 which is obviously 6
First you need to rewrite the equation in the form y = mx +b:
2y = x-4
Divide all terms by 2:
2y / 2 = x/2 - 4/2
Simplify:
y = 1/2x - 2
The slope of the line is 1/2.
A perpendicular line has a slope of the negative reciprocal, which would be -2.
Now using the point slope method:
y - y1 = m(x-x1)
Using the given point of (8,-4) and m = -2
you get:
y +4 = -2(x-8)
Simplify:
y +4 = -2x +16
Now subtract 4 from both sides to get the final equation:
y = -2x +12
Now.. notice the picture below, of the two functions
geometry wise, is just a rectangle and a triangle
pretty sure you know how to get those, get their areas, add them up
