Given :
Nathan smiled at 50 people one day and recorded that 36 people smiled back at him.
To Find :
How many people should Nathan expect to return a smile if he smiles at 650 people over a period of time.
Solution :
Ratio of people smiled by total number of people is :

Now, it is given that we have to use the given conditions.
Therefore, ratio will be same :

Therefore, number of smiles Nathan expect to return is 468.
Answer:
Hence total number freshman presented are 655.
The system is relative system as there is correlation between freshman and
sophomores<em>.</em><em>( as freshman are 60 more than the Sophomores)</em>
Step-by-step explanation:
Given:
1250 total students of sophomores and freshman.
To Find:
freshman count and its type of system used.
Solution:
We have that ,
consider x be the no.of freshman and y be the sophomores
So by given condition,
x+y=1250 ,..............................Equation(1)
And other one,
x=60+y
Use above value in equation (1) we get ,
60+y+y=1250
2y=1250-60
y=595
Now number of freshman ,
x+y=1250
x=1250-595
x=655
Hence total number freshman presented are 655.
The system represent the relative proportion system.The break even and total value should include all students in university .
Relative means in relationship with one another .
As there are 60 more number of freshman than the sophomores.
The quadratic formula is above.
You want each equation in standard form: ax^2 + bx + c = 0
I begin each problem by defining variables.
For instance 3. Is in standard form. X^2 -2x - 3 = 0. a = 1, b = -2, c = -3
Now use quadratic formula: x = [- b + or - sqrt(b^2 - 4ac)]\2a

Here, “p” is a numerator and “q” is a denominator. The examples of rational numbers are 6/5, 10/7, and so on. The rational number is represented using the letter “Q”. Like real numbers, the arithmetic operations, such as addition, subtraction, multiplication, and division are applicable to the rational numbers.