Answer:
45
Step-by-step explanation:
2a+3b=15, multiply everything by 3
3(2a+3b)=3(15)
6a+9b=45
Let the number of seats in section A be x, that of section B y and that of secyion C z. Then
x + y + z = 52000 . . . (1)
x = y + z . . . (2)
42x + 36y + 30z = 1960200 . . . (3)
Putting (2) into (1), gives
2x = 52000
x = 52000/2 = 26000
From (2) and (3), we have
y + z = 26000 . . . (4)
42(26000) + 36y + 30z = 1960200
36y + 30z = 1960200 - 1092000
36y + 30z = 868200 . . . (5)
(4) * 30 => 30y + 30z = 780000 . . . (6)
(5) - (6) => 6y = 88200
y = 88200/6 = 14700
From (4), z = 26000 - 14700 = 11300
Therefore, there are 26,000 seats in section A, 14,700 seats in section B and 11,300 seats in section C.
I’m not sure if this is what you meant
Answer:
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Answer:
The value is 
Step-by-step explanation:
From the question we are told that
The first equation is 
The second equation is 
Generally the first point of intersection of the first and second equation is x = 0
Generally the obtain the second point of intersection of the two equation we equate the two equations
So
=> 
=> 
=> 
Generally the from washer method we have
![V(x) = \int\limits^4_0 {\pi [(H(x))^2 - (G(x))^2]} \, dx](https://tex.z-dn.net/?f=V%28x%29%20%3D%20%20%5Cint%5Climits%5E4_0%20%7B%5Cpi%20%5B%28H%28x%29%29%5E2%20-%20%28G%28x%29%29%5E2%5D%7D%20%5C%2C%20dx)
So
and
So
![V(x) = \int\limits^4_0 {\pi [(16\sqrt{x})^2 - (4x)^2]} \, dx](https://tex.z-dn.net/?f=V%28x%29%20%3D%20%20%5Cint%5Climits%5E4_0%20%7B%5Cpi%20%5B%2816%5Csqrt%7Bx%7D%29%5E2%20-%20%284x%29%5E2%5D%7D%20%5C%2C%20dx)
=> ![V(x) = \int\limits^4_0 {\pi [256x - 16x^2]} \, dx](https://tex.z-dn.net/?f=V%28x%29%20%3D%20%20%5Cint%5Climits%5E4_0%20%7B%5Cpi%20%5B256x%20-%2016x%5E2%5D%7D%20%5C%2C%20dx)
=>![V(x) = \pi [256 \frac{x^2}{2} - 16 \frac{x^3}{3} ]|\left 4} \atop 0}} \right.](https://tex.z-dn.net/?f=V%28x%29%20%3D%20%20%5Cpi%20%5B256%20%5Cfrac%7Bx%5E2%7D%7B2%7D%20-%2016%20%5Cfrac%7Bx%5E3%7D%7B3%7D%20%5D%7C%5Cleft%204%7D%20%5Catop%200%7D%7D%20%5Cright.)
=> ![V(x) = \pi [256 * \frac{ 4^2}{2} - 16 * \frac{4^3}{3} ]](https://tex.z-dn.net/?f=V%28x%29%20%3D%20%20%5Cpi%20%5B256%20%2A%20%5Cfrac%7B%204%5E2%7D%7B2%7D%20%20-%2016%20%2A%20%5Cfrac%7B4%5E3%7D%7B3%7D%20%5D)
=>
