Answer:
Each child will receive 0.125 (or 12.5%) of the estate. 
Step-by-step explanation:
If the surviving spouse gets one half of the estate, the other half have to be divided among the four surviving children.
So its 0,5 divided among the 4 surviving children. That is 0.125 or 12.5% of the estate.
Each child will receive 0.125 of the estate. 
 
        
             
        
        
        
Step-by-step explanation:
since we are required to find side |BC| and the value of side |AB| is given as 6.3 cm
hence we find the cosine of the given angle...
cos71 = adjacent ÷ hypotenuse
cos71 = |AB| ÷ |BC|
cos 71 = 6.3 ÷ |BC|
|BC| = 6.3 ÷ 0.325
|BC| = 19.4 cm
 
        
             
        
        
        
Answer:
The 6 Lego kits can be selected from the 9 available Lego kits in 84 ways.
Step-by-step explanation:
Use combinations to solve this problem.
Combination is defined as the selection of <em>r</em> elements from <em>n</em> distinct objects irrespective of the order. The objects cannot be replaced.
There are 9 Lego kits available.
And the total number of children is 6.
That is, we need to select 6 Lego kits from the 9 available Lego kits.
6 Lego kits can be selected from the 9 available Lego kits in 
 ways.
Solving the combination as follows:

Thus, there are 84 ways to select 6 Lego kits from 9 available Lego kits.
 
        
             
        
        
        
First, subtract 14 from both sides. then, divide both sides by two to get X=4
        
                    
             
        
        
        
3/5 of $500 = 3/5 *500 = 1500/500 = 300
His father will pay $300