The answer is going to be
X=20
John sold 18 general admission tickets and 11 VIP tickets.
Step-by-step explanation:
Given,
Cost of each general admission = $50
Cost of each VIP ticket = $55
Total tickets sold = 29
Total revenue generated = $1505
Let,
x represent the number of general admission tickets sold
y represent the number of VIP tickets.
x+y=29 Eqn 1
50x+55y=1505 Eqn 2
Multiplying Eqn 1 by 50
![50(x+y=29)\\50x+50y=1450\ \ \ Eqn\ 3](https://tex.z-dn.net/?f=50%28x%2By%3D29%29%5C%5C50x%2B50y%3D1450%5C%20%5C%20%5C%20Eqn%5C%203)
Subtracting Eqn 3 from Eqn 2
![(50x+55y)-(50x+50y)=1505-1450\\50x+55y-50x-50y=55\\5y=55](https://tex.z-dn.net/?f=%2850x%2B55y%29-%2850x%2B50y%29%3D1505-1450%5C%5C50x%2B55y-50x-50y%3D55%5C%5C5y%3D55)
Dividing both sides by 5
![\frac{5y}{5}=\frac{55}{5}\\y=11](https://tex.z-dn.net/?f=%5Cfrac%7B5y%7D%7B5%7D%3D%5Cfrac%7B55%7D%7B5%7D%5C%5Cy%3D11)
Putting y=11 in Eqn 1
![x+11=29\\x=19-11\\x=18](https://tex.z-dn.net/?f=x%2B11%3D29%5C%5Cx%3D19-11%5C%5Cx%3D18)
John sold 18 general admission tickets and 11 VIP tickets.
Keywords: linear equation, elimination method
Learn more about elimination method at:
#LearnwithBrainly
Answer:
The answer is B) 72
Step-by-step explanation:
find the bigger arc: 360 - 108 = 252
x = 252 - 108/2
x = 144/2
x = 72
No, John is incorrect.
<h3>
Correct work shown:</h3>
![\sf x^2 - 6x - 7 = 0](https://tex.z-dn.net/?f=%5Csf%20x%5E2%20-%206x%20-%207%20%3D%200)
![\sf x^2 - 6x = 7](https://tex.z-dn.net/?f=%5Csf%20x%5E2%20-%206x%20%3D%207)
![\sf x^2 - 6x + 9= 7 + 9](https://tex.z-dn.net/?f=%5Csf%20x%5E2%20-%206x%20%20%2B%209%3D%207%20%2B%209)
![\sf (x-3)^2= 16](https://tex.z-dn.net/?f=%5Csf%20%28x-3%29%5E2%3D%2016)
![\sf x-3=\pm \sqrt{16}](https://tex.z-dn.net/?f=%5Csf%20x-3%3D%5Cpm%20%5Csqrt%7B16%7D)
![\sf x-3= \pm 4](https://tex.z-dn.net/?f=%5Csf%20x-3%3D%20%5Cpm%204)
![\sf x= + 4 + 3 \quad or \quad x = -4 + 3](https://tex.z-dn.net/?f=%5Csf%20x%3D%20%2B%204%20%2B%203%20%5Cquad%20or%20%5Cquad%20x%20%3D%20-4%20%2B%203)
![\sf x= 7 \quad or \quad x = -1](https://tex.z-dn.net/?f=%5Csf%20x%3D%207%20%5Cquad%20or%20%5Cquad%20x%20%3D%20-1)
The correct answer should be x = 7 or x = -1
Answer:
(-30, 10)
multiply -20/60 by -0.5 each and you get 10/-30
this is the only pair achievable by proportion.