Answer:
75
Step-by-step explanation:
 
        
                    
             
        
        
        
Answer: 11.125
Step-by-step explanation:
 
        
                    
             
        
        
        
Answer:
16
Step-by-step explanation:
because it is 
 
        
                    
             
        
        
        
The inequality that represents the number of right answers (r) and wrong answers (w) Olga can give to win the contest is:  
<u><em>Explanation</em></u>
Number of right answers is   and number of wrong answers is
 and number of wrong answers is  
Olga earns 12 points for each right answer and loses 4 points for each wrong answer.
So, total points earned for  right answers
 right answers  
 
and total points lost for  wrong answers
 wrong answers 
That means, <u>her score will be</u>:   points.
 points.
In order to win the quiz contest, Olga must score <u>more than 400 points</u>. So, the inequality will be.......

 
        
             
        
        
        
Answer:
I think this is a pretty good question of law of indices
Step-by-step explanation:
Given that 

a) express n in terms of p and q , 
b) hence if p = 1 and q = 2 find the value of n
Solution to part a)

Simplify the equation and how do we do that? As we can see that 9 can also be written as 3^2 and 27 can be written as 3^3 we can rewrite the following equation like this, 

now we multiply p with 2 and 
multiply q with 3 respectively,

now since the bases are same and are multiplying the exponents will add themselves like this, in this equation the number 3 is the base 

now since the bases on the left hand side and on the right hand side are equal the exponents will also be equal so now,

hence n is expressed in terms of p and q
Solution to part b)
if p = 1 and q = 2 we plug in these values in the above equation we found for n
n = 2p + 3q
n = 2(1) + 3(2)
n = 2 + 6
n = 7