Answer:
Let x = total number of apples picked by the prince
x=44
Step-by-step explanation:
1st troll payment 
x-(0.5x+2) 
x-0.5x-2 
0.5x-2 (that is the amount of apples left after 1st troll payment) 
2nd troll payment 
(0.5x-2)-(0.5(0.5x-2)+2)
Simplifying,
(0.5x-2)-(0.25x-1+2)
(0.5x-2)-(0.25x+1)
0.5x-2-0.25x-1
0.25x-3 (apples remaining after 2nd troll payment)
3rd troll payment 
(0.25x-3)-(0.5(0.25x-3)+2)=2
(0.25x-3)-(0.125x-1.5+2)=2
(0.25x-3)-(0.125x+0.5)=2
0.25x-3- 0.125x-0.5=2
0.125x-3.5=2
0.125x =2+3.5
0.125x=5.5
x=5.5/0.125 (divide both sides by 0.125)
=44 apples
Therefore total number of apples picked by the prince, x=44
 
        
                    
             
        
        
        
The answer is  D, (x + 1) (x + 2) (x - 3)
 
        
                    
             
        
        
        
Answer:
B
Step-by-step explanation:
The volume (V) of the triangular prism is calculated as
V = area of triangular face × length
Area of triangle =  bh ( b is the base and h the height )
 bh ( b is the base and h the height )
Here b = 6 and h = 8, thus
Area =  × 6 × 8 = 3 × 8 = 24 units², thus
 × 6 × 8 = 3 × 8 = 24 units², thus
V = 24 × 20 = 480 units³ → B