Answer:
$9.57
Step-by-step explanation:
You have to do 4.35 divided by 5 to get how much 1 can cost. You will find out that 1 can cost $0.87. Next you will take how much one cost and mutiply it by 11. When you do that you will get 9.57. That is how you will get $9.57 as your answer.
Answer:
4x2−12x+9=0
Step-by-step explanation:
The equation, 2x2+x+3=0, does not have a solution
The equation, x2+5x−3=0, equals -5/2+1/2√37 and -5/2+-1/2√37
The equation, x2−5x+4=0, equal 1 and 4
The equation, 4x2−12x+9=0, equals only 3/2
Hope this Helps
Answer:
170 children
74 students
85 adults
Step-by-step explanation:
Given
Let:
![C = Children; S = Students; A = Adults](https://tex.z-dn.net/?f=C%20%3D%20Children%3B%20S%20%3D%20Students%3B%20A%20%3D%20Adults)
For the capacity, we have:
![C + S + A = 329](https://tex.z-dn.net/?f=C%20%2B%20S%20%2B%20A%20%3D%20329)
For the tickets sold, we have:
![5C + 7S + 12A = 2388](https://tex.z-dn.net/?f=5C%20%2B%207S%20%2B%2012A%20%3D%202388)
Half as many as adults are children implies that:
![A = \frac{C}{2}](https://tex.z-dn.net/?f=A%20%3D%20%5Cfrac%7BC%7D%7B2%7D)
Required
Solve for A, C and S
The equations to solve are:
-- (1)
-- (2)
-- (3)
Make C the subject in (3)
![C = 2A](https://tex.z-dn.net/?f=C%20%3D%202A)
Substitute
in (1) and (2)
-- (1)
![2A + S + A = 329](https://tex.z-dn.net/?f=2A%20%2B%20S%20%2B%20A%20%3D%20329)
![3A + S = 329](https://tex.z-dn.net/?f=3A%20%2B%20S%20%3D%20329)
Make S the subject
![S = 329 - 3A](https://tex.z-dn.net/?f=S%20%3D%20329%20-%203A)
-- (2)
![5*2A + 7S + 12A = 2388](https://tex.z-dn.net/?f=5%2A2A%20%2B%207S%20%2B%2012A%20%3D%202388)
![10A + 7S + 12A = 2388](https://tex.z-dn.net/?f=10A%20%2B%207S%20%2B%2012A%20%3D%202388)
![7S + 22A = 2388](https://tex.z-dn.net/?f=7S%20%2B%2022A%20%3D%202388)
Substitute ![S = 329 - 3A](https://tex.z-dn.net/?f=S%20%3D%20329%20-%203A)
![7(329 - 3A) + 22A = 2388](https://tex.z-dn.net/?f=7%28329%20-%203A%29%20%2B%2022A%20%3D%202388)
![2303 - 21A + 22A = 2388](https://tex.z-dn.net/?f=2303%20-%2021A%20%2B%2022A%20%3D%202388)
![2303 +A = 2388](https://tex.z-dn.net/?f=2303%20%2BA%20%3D%202388)
Solve for A
![A = 2388 - 2303](https://tex.z-dn.net/?f=A%20%3D%202388%20-%202303)
![A = 85](https://tex.z-dn.net/?f=A%20%3D%2085)
Recall that: ![C = 2A](https://tex.z-dn.net/?f=C%20%3D%202A)
![C = 2 * 85](https://tex.z-dn.net/?f=C%20%3D%202%20%2A%2085)
![C = 170](https://tex.z-dn.net/?f=C%20%3D%20170)
Recall that: ![S = 329 - 3A](https://tex.z-dn.net/?f=S%20%3D%20329%20-%203A)
![S = 329 - 3 * 85](https://tex.z-dn.net/?f=S%20%3D%20329%20-%203%20%2A%2085)
![S = 329 - 255](https://tex.z-dn.net/?f=S%20%3D%20329%20-%20255)
![S = 74](https://tex.z-dn.net/?f=S%20%3D%2074)
Hence, the result is:
![C = 170](https://tex.z-dn.net/?f=C%20%3D%20170)
![S = 74](https://tex.z-dn.net/?f=S%20%3D%2074)
![A = 85](https://tex.z-dn.net/?f=A%20%3D%2085)