This is an infinite loop display
 
        
             
        
        
        
First, we draw our line.
  
|------------------------------------------------------------------------------------|
a                                                                                                            e
  
  
Next, break up this line into segments using the information.
  
|----------------------|----------------------|--------------------|------------------|
a                            b                            c                         d                      e
  
  
The entire line is 29.
  
ab + bc + cd + de = ae
ab + bc + cd + de = 29
  
You also know that
  
bd = bc + cd
  
  
Due to midpoint theorem,
  
ab = bc
cd = de
  
  
Then,
  
2ab + 2cd = 29
  
  
The equations we will use are
  
bd = bc + cd                       eq1
2bc + 2cd = 29                   eq2
  
  
Dividing both sides of the equation in eq2 yields
  
bc + cd = 14.5
  
bd = bc + cd
bd = 14.5
 
        
                    
             
        
        
        
Answer:
"Dominic lived in Spain for 13 months and Columbia for 7 months."
Step-by-step explanation:
let months stayed in spain be "s" and months stayed in columbia be "c"
We can write 2 equations.
Since, lived in Spain and Columbia for a total of 20 months, we can write:
s + c = 20
Also, since 120 words per month in Spain and 150 words per month in Columbia for a total of 2610 new words, we can write:
120s + 150c=2610
Solving first for s:
s = 20 - c
Putting in 2nd and solving:
120(20 - c) + 150c = 2610
2400 - 120c + 150c = 2610
30c = 210
c = 7
Now, 
s = 20 - c = 20 - 7 = 13
So 
"Dominic lived in Spain for 13 months and Columbia for 7 months."
 
        
                    
             
        
        
        
Answer:
7
Step-by-step explanation:
Set up an equation using slope intercept form.
y = mx + b
75 = 8x + 15
Solve.
75 = 8x + 15
-15          -15
60 = 8x
7.5
Round down as it is dealing with money and he would not have enough to purchase an 8th grocery.
7 is the final answer.
Hope this helps!