System of Equations
For the problem to solve we'll use the following variables:
x = number of the early bird tickets sold
y = number of the regular tickets sold
Haley sold a total of 20 tickets, thus:
x + y = 20 [1]
Early bird tickets cost $10 and regular tickets cost $15, thus the total money collected is:
10x + 15y = 225
Dividing by 5:
2x + 3y = 45 [2]
We have to solve the system of equations [1] and [2].
Multiply [1] by -2:
-2x - 2y = -40 [3]
Add [3] to [2]:
-2x - 2y +2x + 3y = -40 + 45
Simplifying:
y = 5
Substituting in [1]:
x + 5 = 20
Subtracting 5:
x = 20 - 5
x = 15
Solution: Hayley sold 15 early bird tickets and 5 regular-priced tickets
The order pair solution is (15,5)
Answer:
2/3
Step-by-step explanation:
log27(9)
Factor the number: 27=3³
= log3³(9)
Apply log rule: loga^b(x) - 1/b loga(x).
log3³(9) =1/3 log3³(9)
=1/3 log3³(9)
Factor the number: 9=3²
=1/3 log3³(3²)
Apply log rule: loga(a^b) =b
log3 (3²) =2
1/3×2
=2/3
Our two binomials are (X-5)(X-7)
If we FOIL those two terms [x*x = x2; x*-7 = -7x; x*-5 = -5x; -5*-7 = 35] and combine the like terms, we're left with one of many quadratic function
Answer
x2-12x+35
$409.80.
The amount of net profit the store makes on each container is given by 1.67-0.83 (the amount it is sold for subtracted by the amount it costs the store), which is $0.84 per container. They sell 470 containers, so the net profit at this point is 470(0.84) = $394.80.
However, since the distributor is giving the store a $0.50 refund on all every container under 500 that the store sells, the store gets additional money back:
500-470 = 30 containers not sold
30(0.50) = 15
So the total profit is $394.80 + 15 = $409.80.
