Y=mx+b
3= -1/2(6) + b
3= -3+b
3+3= b
b= 6
y= mx+b
2= -1/2x+ 6
2-6 = -1/2x
-4 = -1/2x
-4•-2 = -1/2x •-2
x = 8
(8,2)
Hi there!
Simple conversion will greatly help us here. Below I'll list some common conversions for pounds and ounces.
16 ounces = 1 pound
32 ounces = 2 pounds
These will greatly aid us in finding how many ounces are in 3lb and 3 ounces. If we know that 2 pounds = 32 ounces then we know that by multiplying that by 4 we'll get how many ounces 8lb is.
32 ounces * 4 = 128 ounces.
However, we're not done there! There are also a leftover 3 ounces meaning once we add that to our 128 ounces we'll get our final answer.
3 ounces + 128 ounces = 8lb and 3 ounces.
131 ounces = 8lb and 3 ounces.
And that's our final answer. :)
We can have different variables to represent each brother (there can be different variations and ways to solve, but I'll do it my way).
Matt=m
Jeff=3m
Todd=m+25
Matt Jeff Todd
m+3m+(m+25)=275 3(50) 50+25
5m+25=275 =150 =75
5m=250
m=50
Matt spent $50, Jeff spent $150 and Todd spent $75
Check:
50+150+75
=$225
Because the boarder goes around all edges, 6 in must be subtracted from 6ft and 4ft.
6ft - 6in = 5.5 ft
4ft - 6in = 3.5 ft
Area of the bulletin board: (5.5)(3.5) = 19.25 ft
Make x the subject
2x = -3y + 1
5x = -2y -3
now times the answers to get the lcd
(2x = -3y + 1) x 5
10x = -15y + 5
(5x = -2y -3) 2
10x = -4y -6
now that they are equal to the same number:
-15y + 5 = -4y -6
-15y + 4y = -6 -5
-11y = -11
y = 1
now to find x we substitute y
2x = -3y + 1
2x = -3(1) + 1
2x = -3 + 1
2x = -2
x = -1
