Answer:

Step-by-step explanation:
Given
5 tuples implies that:

 implies that:
 implies that:

Required
How many 5-tuples of integers  are there such that
 are there such that
From the question, the order of the integers h, i, j, k and m does not matter. This implies that, we make use of combination to solve this problem.
Also considering that repetition is allowed:  This implies that, a number can be repeated in more than 1 location
So, there are n + 4 items to make selection from
The selection becomes:



Expand the numerator




<u><em>Solved</em></u>
 
        
             
        
        
        
5weeks
<span>Good! Since you want to find when both of you have the same amount of money, you can set the two expressions representing the money equal to each other. This gives the equation $700 – $35 per week • weeks = $450 + $15 per week • weeks. Solving the equation, you find that you will have the same amount of money in 5 weeks.</span>
        
                    
             
        
        
        
Answer:
16
1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84, 168
 
        
             
        
        
        
Answer:
Pre image of B' is B
Step-by-step explanation:
Given:
ABC is a triangle
A transformation is done on ABC so that the image is A'B'C'.
Note that transformations are of various types such as dilation, vertical shift, horizontal shift, rotation about a point, reflection on a line, etc.
In any type of transformation, corresponding vertices will be matched.  In other words, A will become A', B will become B' and C will become C'.
Because of the property of the transformation to keep images similar and also transforming correspondingly the vertices we get preimage of B' would be nothing but B itself.