Number 1 is twenty and number two is fifty six
For this problem, let x be the number of children and y for adults. Formulate the equations: 1st equation, x + y = 3,200 and 2nd equation 5x + 9y = 24,000. Re-arrange 1st equation into x = 3200 - y. Then, substitute into 2nd equation, 5(3,200-y) + 9y = 24,000. Then, solve for y. The 16,000 - 5y + 9y = 24000. Final answer is, y = 2000 adults went to watch the movie.
H(x) equals what? I think you've missed that detail. :)
Answer:
y = 4/5x - 9/5
Step-by-step explanation:
4x - 5y = 9 to solve for y you get it by itself.
-4x -4x minus 4x from both sides
-5y = - 4x + 9
/-5 /-5 Divide both sides by 5
y = 4/5x - 9/5 because -4/-5 is 4/5 and 9/-5 is - 9/5
Answer:
![\large\boxed{y=\dfrac{4}{3}x}](https://tex.z-dn.net/?f=%5Clarge%5Cboxed%7By%3D%5Cdfrac%7B4%7D%7B3%7Dx%7D)
Step-by-step explanation:
The line passes through the origin has an equation y = mx
m - slope
The formula of a slope of a line passes through the origin
and a point (x, y):
![m=\dfrac{y}{x}](https://tex.z-dn.net/?f=m%3D%5Cdfrac%7By%7D%7Bx%7D)
We have the point (6, 8). Substitute:
![m=\dfrac{8}{6}=\dfrac{8:2}{6:2}=\dfrac{4}{3}](https://tex.z-dn.net/?f=m%3D%5Cdfrac%7B8%7D%7B6%7D%3D%5Cdfrac%7B8%3A2%7D%7B6%3A2%7D%3D%5Cdfrac%7B4%7D%7B3%7D)
Finally:
![y=\dfrac{4}{3}x](https://tex.z-dn.net/?f=y%3D%5Cdfrac%7B4%7D%7B3%7Dx)