First we are going to set up two equations:
1) ![x+y=168](https://tex.z-dn.net/?f=%20x%2By%3D168%20)
2) ![y=3x](https://tex.z-dn.net/?f=%20y%3D3x%20)
where x is the number of hotdogs sold, and y is the number of sodas sold. Let's subtract x from the second equation and set equal to 0:
1) ![x+y=168](https://tex.z-dn.net/?f=%20x%2By%3D168%20)
2) ![3x-y=0](https://tex.z-dn.net/?f=%203x-y%3D0%20)
Then let's add the two equations together to cancel out the y variable:
![x+y=168](https://tex.z-dn.net/?f=%20x%2By%3D168%20)
+ ![3x-y=0](https://tex.z-dn.net/?f=%203x-y%3D0%20)
---------------------------------
![4x=168](https://tex.z-dn.net/?f=%204x%3D168%20)
Then solve for x:
![x=42](https://tex.z-dn.net/?f=%20x%3D42%20)
So then return to equation 1 and plug in x to solve for y:
![x+y=168](https://tex.z-dn.net/?f=%20x%2By%3D168%20)
![42+y=168](https://tex.z-dn.net/?f=%2042%2By%3D168%20)
![y=126](https://tex.z-dn.net/?f=%20y%3D126%20)
So then we know that x = 42 and y = 126; therefore, there were 42 hotdogs sold, and there were 126 sodas sold.
You find the rate of changes on graphs by the x values
Answer:
>
Step-by-step explanation:
Answer:
h = 32.2 ft
Step-by-step explanation:
Since we have a right triangle, to get the value of h, we will have to use the appropriate trigonometric ratio
From the diagram given, h faces the angle and that makes it the opposite side
62.5 ft faces the right angle and that makes it the hypotenuse
The trigonometric ratio that connects the two is the sine
thus, we have it that;
sine 31 = h/62.5
h = 62.5 * sin 31
h = 32.2 ft
12x - 13 = -6x + 17
12x+6x=17+13
18x=30
X= 30÷18
X= 1.66667