The first thief takes (1/2 x + 1) .  What remains ?   x - (1/2x + 1)
So the 2nd thief takes  2/3 of  [  x - (1/2x + 1) ]
   What remains ?    x - 2/3 [ x - (1/2x + 1) ]
So the 3rd thief takes    2/3 of  { x - 2/3 [ x - (1/2x + 1) ] }  and he takes 1 more .
   What remains ?    x - ( 2/3 { x - 2/3 [ x - (1/2x + 1) ] } + 1 )
And that whole ugly thing is equal to ' 1 ', so you can solve it for 'x'..
The whole problem from here on is an exercise in simplifying 
an expression with a bunch of 'nested' parentheses in it.   
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This is a lot harder than just solving the problem with logic and
waving your hands in the air.  Here's how you would do that:
Start from the end and work backwards:
-- One diamond is left.
-- Before the 3rd thief took 1 more, there were 2.
-- That was 1/3 of what was there before the 3rd man took 2/3.
So he found 6 when he arrived.
-- 6 was 1/3 of what was there before the second thief helped himself. 
So there were 18 when the 2nd man arrived.
-- 18 was 1 less than what was there before the first thief took 1 extra.
So he took his 1 extra from 19.
-- 19 was the remaining after the first man took 1/2 of all on the table.
So there were 38 on the table when he arrived.
Thank you for your generous 5 points.
 
        
             
        
        
        
Answer:
D
Step-by-step explanation:
assuming a 6 sided die half of the die is above 3 so 1/2
 
        
             
        
        
        
Answer:If the parabola opens up, the vertex represents the lowest point on the graph, or the minimum value of the quadratic function. If the parabola opens down, the vertex represents the highest point on the graph, or the maximum value. ... The y -intercept is the point at which the parabola crosses the y -axis.
Step-by-step explanation:Just searched it up ;)
 
        
                    
             
        
        
        
Answer:
i am gessing to divide
Step-by-step explanation: