Yes the distributive property is used to expand expressions, but it is also used to make it simpler.
For an example
3(x+4) + 3(y-8)
This is the same thing as
3x + 12 + 3y -8
Answer:
You will break even on the car wash when you buy 13.5 gallons. As long as you buy that or more, it is cheaper to get the car wash.
Step-by-step explanation:
In order to find this, we need to create equations for both situations. If we let x equal the amount of gallons purchased, we can model the first equation as:
f(x) = 3.35x
And the second equation as:
f(x) = 3.05x + 4.05
Then to find when they equal each other, we can set the two equations equal to each other and solve for x.
3.35x = 3.05x + 4.05
0.30x = 4.05
x = 13.5
This means once you buy 13.5 gallons, the prices will be the same. Any amount over that and the car wash will be cheaper
Answer:
Look just at finding the linear model. Two points. Use price per gallon for x and gallons per hour sold for y. Your two points (x,y) are (2.15,1600) and (2.55,800).
Slope m=%281600-800%29%2F%280.15-0.55%29
m=800%2F0.40
m=2000
Using point-slope form for a line, and the lower-y point,
y-800=2000%28x-2.55%29
highlight%28y=2000%28x-2.55%29%2B800%29
Answer:
.65m -22 = cost
Step-by-step explanation:
121 +0.65(m-220) <=======use distributive property to expand the R term
= 121 + .65m - 143 simplify
= .65m -22
Answer:
65
Step-by-step explanation:
Divid 26 and 2 and you get 13 then u muiltiple by 5 and then you get 65
