Factor:
<span>30n - 40 = 10(3n - 4)
hope it helps</span>
Let x be the number of cases of paper towels and y be the number of cases of soap. The system of linear equation that would best represent the given is,
x + y = 10
12x + 15y = 129
The values of x and y are 7 and 3.
Sarah both 7 cases of paper towel.
It is not possible for Sarah to buy exactly 20 bottles because first of all the cases contains only 12 bottles and 20 is not divisible by 12.
Given
base=2x+6
height=x+4
and
area=56 square units
56=1/2 times (2x+6) times (x+4)
times bot sides by 2
112=(2x+6)(x+4)
expand
112=2x²+14x+24
divide both sides by 2
56=x²+7x+12
minus 56 both sides
0=x²+7x-44
factor
waht 2 numbers mulitply to get -44 and add to get 7
11 and -4
0=(x-4)(x+11)
set to 0
x-4=0
x=4
x+11=0
x=-11
false, measures can't be negative
x=4
height=x+4
height=4+4=8
base=2x+6
base=2(4)+6=8+6=14
x=4 and base=14 and height=8
I think it's 1/4 that's my answer