The numerator and denominator need parentheses for clarity.
Answer:
80
Step-by-step explanation:
1/3 of 120 is 40
If 40 leave
People left in party=120-40=80
For this case we have that by definition, the equation of the line of the slope-intersection form is given by:
![y = mx + b](https://tex.z-dn.net/?f=y%20%3D%20mx%20%2B%20b)
Where:
m: It's the slope
b: It is the cut-off point with the y axis
We have two points through which the line passes:
![(x_ {1}, y_ {1}) :( 1,3)\\(x_ {2}, y_ {2}): (- 3, -5)](https://tex.z-dn.net/?f=%28x_%20%7B1%7D%2C%20y_%20%7B1%7D%29%20%3A%28%201%2C3%29%5C%5C%28x_%20%7B2%7D%2C%20y_%20%7B2%7D%29%3A%20%28-%203%2C%20-5%29)
We found the slope:
![m = \frac{y_ {2} -y_ {1}} {x_ {2} -x_ {1}}](https://tex.z-dn.net/?f=m%20%3D%20%5Cfrac%7By_%20%7B2%7D%20-y_%20%7B1%7D%7D%20%7Bx_%20%7B2%7D%20-x_%20%7B1%7D%7D)
Substituting we have:
![m = \frac {-5-3} {- 3-1} = \frac {-8} {- 4} = 2](https://tex.z-dn.net/?f=m%20%3D%20%5Cfrac%20%7B-5-3%7D%20%7B-%203-1%7D%20%3D%20%5Cfrac%20%7B-8%7D%20%7B-%204%7D%20%3D%202)
Thus, the equation is of the form:
![y = 2x + b](https://tex.z-dn.net/?f=y%20%3D%202x%20%2B%20b)
We substitute one of the points and find the cut-off point:
![3 = 2 (1) + b\\3 = 2 + b\\3-2 = b\\b = 1](https://tex.z-dn.net/?f=3%20%3D%202%20%281%29%20%2B%20b%5C%5C3%20%3D%202%20%2B%20b%5C%5C3-2%20%3D%20b%5C%5Cb%20%3D%201)
Finally, the equation is:
![y = 2x + 1](https://tex.z-dn.net/?f=y%20%3D%202x%20%2B%201)
ANswer:
![y = 2x + 1](https://tex.z-dn.net/?f=y%20%3D%202x%20%2B%201)
The solution is x>18.
The problem tells us that 3 less than a number: x-3
is more than 15. >15
So the inequality is x-3>15. When we isolate x to simply the inequality, we add 3 to both sides, to get x>18.
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