Step-by-step explanation:
sorry for the rough handwriting but that's that
Answer: 15
Step-by-step explanation:
Given: The present ratio of students to teachers at a certain school is
to
. If the student enrollment were to increase by
students and the number of teachers were to increase by
, the ratio of students to teachers would then be
to
.
To Find: What is the present number of teachers.
Solution:
let the number of teachers in schools are ![=\text{x}](https://tex.z-dn.net/?f=%3D%5Ctext%7Bx%7D)
As the current ratio of students to teachers is
to ![1](https://tex.z-dn.net/?f=1)
Number of students in school are ![=30\text{x}](https://tex.z-dn.net/?f=%3D30%5Ctext%7Bx%7D)
Now,
If number of student enrollment and teachers were to increase by
and
respectively.
New number of students in school would be ![=30\text{x}+50](https://tex.z-dn.net/?f=%3D30%5Ctext%7Bx%7D%2B50)
New number of teacher in school would be ![\text{x}+5](https://tex.z-dn.net/?f=%5Ctext%7Bx%7D%2B5)
new ratio of students to teachers is ![25:1](https://tex.z-dn.net/?f=25%3A1)
![\frac{30\text{x}+50}{\text{x}+5}=\frac{25}{1}](https://tex.z-dn.net/?f=%5Cfrac%7B30%5Ctext%7Bx%7D%2B50%7D%7B%5Ctext%7Bx%7D%2B5%7D%3D%5Cfrac%7B25%7D%7B1%7D)
![30\text{x}+50=25\text{x}+125](https://tex.z-dn.net/?f=30%5Ctext%7Bx%7D%2B50%3D25%5Ctext%7Bx%7D%2B125)
![5\text{x}=75](https://tex.z-dn.net/?f=5%5Ctext%7Bx%7D%3D75)
![\text{x}=15](https://tex.z-dn.net/?f=%5Ctext%7Bx%7D%3D15)
Hence the number of teachers in school is ![15](https://tex.z-dn.net/?f=15)
In slope intercept, the equation is y = -x - 4
Answer:94°
Step-by-step explanation:
The sum of the interior angles of the polygon: 180°(n-2)
180°(5-2)=540°
The sum of the interior angles of the pentagon is 540°
So:
P+Q+R+S+T=540°
(4x+2)°+132°+(4x-10)°+(5x-11)°+128°=540°
4x+2+4x-10+5x-11+260=540
13x=299
x=23°
P=4x+2°=4×23°+2°=94°