Answer:
800
Step-by-step explanation:
![\frac{16}{x} = \frac{4}{100}](https://tex.z-dn.net/?f=%5Cfrac%7B16%7D%7Bx%7D%20%3D%20%5Cfrac%7B4%7D%7B100%7D)
cross multiply
16x100=4x
1600=4x
divide both sides by 4
400=x
400x2=800
The way I would approach such a question is to put it into equations.
My first equation would be 16x+19y=478 which represents $16 on ski's per person and $19 on snowboards must add up to $478
My second would be x+y=28 because the number of skis and snowboards rented must add up to 28 so each person has one item.
Next you solve them simultaniously. Gonna use elimination
16x+19y=478 (1)
<span>x+y=28 (2) </span>
16x+16y=448 (3 = equation 2 * 16)
(1)-(3) => 3y=30 y = 10.
So now we know that 10 people rented snow boards. Just sub that into eq (2) and get x = 18. So 10 people got snow boards and 18 ski's.
To check, 10x19 = 190
16x18= 228
190+228=478 which works out perfectly!
Answer:
The system of equations has one solution at (-4, 4).
Step-by-step explanation:
We are given the system of equations:
![\displaystyle\left \{ {{5x+9y=16} \atop {x+2y=4}} \right.](https://tex.z-dn.net/?f=%5Cdisplaystyle%5Cleft%20%5C%7B%20%7B%7B5x%2B9y%3D16%7D%20%5Catop%20%7Bx%2B2y%3D4%7D%7D%20%5Cright.)
We can use elimination to solve this system. We need to multiply the second equation by -5 so we can cancel out our x-terms.
![-5\times(x+2y=4) \rightarrow -5x - 10y = -20](https://tex.z-dn.net/?f=-5%5Ctimes%28x%2B2y%3D4%29%20%5Crightarrow%20-5x%20-%2010y%20%3D%20-20)
Therefore, our system now becomes:
![\displaystyle\left \{ {{5x+9y=16} \atop {-5x-10y=-20}} \right.](https://tex.z-dn.net/?f=%5Cdisplaystyle%5Cleft%20%5C%7B%20%7B%7B5x%2B9y%3D16%7D%20%5Catop%20%7B-5x-10y%3D-20%7D%7D%20%5Cright.)
Now, we can add these two equations together and solve for y.
![\displaystyle(5x + 9y) + (-5x - 10y) = 0 - y\\\\16 + (-20) = -4\\\\-y = -4\\\\\frac{-y}{-1}=\frac{-4}{-1}\\\\y = 4](https://tex.z-dn.net/?f=%5Cdisplaystyle%285x%20%2B%209y%29%20%2B%20%28-5x%20-%2010y%29%20%3D%200%20-%20y%5C%5C%5C%5C16%20%2B%20%28-20%29%20%3D%20-4%5C%5C%5C%5C-y%20%3D%20-4%5C%5C%5C%5C%5Cfrac%7B-y%7D%7B-1%7D%3D%5Cfrac%7B-4%7D%7B-1%7D%5C%5C%5C%5Cy%20%3D%204)
Now, we can substitute our value for y into one of the equations and solve for x.
![x+2(4)=4\\\\x + 8 = 4\\\\x = -4](https://tex.z-dn.net/?f=x%2B2%284%29%3D4%5C%5C%5C%5Cx%20%2B%208%20%3D%204%5C%5C%5C%5Cx%20%3D%20-4)
Therefore, our final solution is (-4, 4).
Hey there!!
How do you find slopes?
Ans - In order to find slope, we will need to use the slop formula which is
( y₂ - y₁ ) / ( x₂ - x₁ )
Now let's take two points on the graph :
I would take the coordinates ( 0 , -1 ) and ( 1 , 4 )
y₂ = 4 , y₁ = -1 and x₂ = 1 , x₁ = 0
( 4 + 1 ) / ( 1 - 0 )
5 / 0
Hence, the slope is equal to 5
Hope my answer helps!!
Do you know how to solve simultaneous equation?