Answer:
Below
Step-by-step explanation:
Let y be the missing number inside the box. The equation is:
●y( x-3)+2x= -(x-5)+4
● y (x-3) +2x = -x+5+4
● y (x-3) +2x = -x+9
● y (x-3) +2x+x = 9
●y(x-3)+3x =9
● yx-3y+3x= 9
●yx-3y+3x-9=0
●y(x-3) +3(x-3) =0
● (x-3)(y+3) = 0
●x-3=0 or y+3=0
●x=3 or y = -3
●x=3 or -y = 3
Add them together
● x-y = 6
●x=6+y
● y =6-x
So the number we should put in the box is 6-x
Answer: 6(a-1)^2
Step-by-step explanation:
6a^2-12a+6
6(a^2-2a+1)
6(a-1)^2
(C.) 4.012
4.021 is greater than 4.012
She will need to cut 26.6 haircuts a month a location A to break even (1200/45 = 26.6) so roughly 27 haircuts to make a profit
She will need to cut 30 haircuts at location B to break even (1800/60 = 30) and 31 hair cuts to see a profit.
She will need to cut 30.67 haircuts at location A and 33 haircuts at location B to make the same profit at either location (Roughly $180).
30.67 x 45 = 1380.15 - 1200 = 180
33 x 60 = 1980 - 1800 = 180
9514 1404 393
Answer:
- adult: 325
- children's: 225
Step-by-step explanation:
It usually works well to let a variable represent the higher-value item in the mix. Here, we can let 'a' represent the number of adult tickets sold. Then the total revenue is ...
1.50a +1.00(550 -a) = 712.50
0.50a = 162.50 . . . . . . . . . . . . . subtract 550 and collect terms
a = 325
c = 550 -325 = 225
325 adult and 225 children's tickets were sold.