-0.55p-4=0.5p
the answer is p=-4
Y X
80 32
100 x'
80x' = 100*32
80x' = 3200
x' = 3200/80
x' = 320/8
x' = 40
Same as last time:
d^2=(x2-x1)^2+(y2-y1)^2
d^2=(6--1)^2+(-2-4)^2
d^2=7^2+(-6)^2
d^2=49+36
d^2=85
d=√85 (85=5*7 and both 5 and 7 are prime so √85 cannot be simplified any further)
The exact distance is √85 units.
11.94 divided by 6 equals 1.99 so that would be $1.99. 8.12 divided by 4 equals 2.03 so that would be $2.03. So the box that has the lowest would be the box of 6 matches
Let X represent the cost of 1 pear and Y represent the cost of 1 peach.
Use the given information to set up a system of equations:
5X + 6Y = 11.20
3X = 2Y
Use the second equation to solve for Y:
3X = 2Y
Y = 1.5X
Plug the new found value for Y into the first, unused equation:
5X + 6(1.5X) = 11.20
Simplify:
5X + 9X = 11.20
or
14X = 11.20
Solve for X:
X = .8
Now that you have the value for X, you can plug it into either of the first two equations to solve for Y:
3X = 2Y
3(.8) = 2Y
2.4 = 2Y
Y = 1.2
Each pear is $0.80 and each peach is $1.20.