Answer:
101
Step-by-step explanation:
Given the expression:
2016 · 199 = 2016·? +2016 · 98 
We could rewrite the expression such that the missing value equals x
2016 * 199 = 2016 * x + 2016 * 98
Using BODMAS:
401184 = 2016x + 197568
401184 - 197568 = 2016x
203616 = 2016x
Divide both sides by 2016
203616 / 2016 = 2016x / 2016
101 = x
Hence, missing value is 101
 
        
                    
             
        
        
        
Answer: (1/3,2)
Step-by-step explanation:
Let O(x,y) be the circumference of the triangle PQR,
Thus, by the property of circumcenter all the vertices of the triangle are at same distance from this circumcenter.
Thus, PO = QO
By the distance formula,





 ---------(1)
---------(1)
Similarly, QO = RO





 ------------(2)
   ------------(2)
By adding equation (1) and (2),
24 x = - 8
x = 1/3
By putting this value in equation (1),
We get,
Thus, 4 - 8 y = -12
8 y = 16
y = 2
 
        
             
        
        
        
∠3 and ∠4 are angles that must be supplementary.
        
                    
             
        
        
        
Answer:
x + y ≤ 
3x + 5y ≥ 1100
Step-by-step explanation:
Given:
Seating capacity of theater = 250
Cost of each child ticket = $3
Cost of each adult ticket = $5
Cost per performance = $1100 at least
Find:
System of inequalities
Computation:
Let;
x = Number of children's tickets 
y = Number of adult tickets
So
x + y ≤ 
3x + 5y ≥ 1100
 
        
             
        
        
        
Answer:
Step-by-step explanation: 2 is the real population