Answer:
P(n)= p0 + 11(n)
Where p0= population of week 0
P(n) = population of n weeks
n= number of weeks
Step-by-step explanation:
Population of beetles in Week 0= 6
Population of beetles in Week 7= 83
From week 0 to week 7 there are 8 weeks.
But subtracting population of week 0 from population of week 7 gives
= 83-6
= 77
After the subtraction, we have 7 weeks remaining.
Dividing the remaining population by the number of weeks remaining
=77/7
= 11
For n number of weeks, population p of beetles 
P(n)= p0 + 11(n)
Where p0= population of week 0
P(n) = population of n weeks
n= number of weeks
 
 
        
             
        
        
        
Let's get the denominators of both fractions to be the same before moving on, aka finding the least common multiple of the denominators.
8 and 3 have a LCM of 24. So, we have to multiply 1/3 by 8 and 3/8 by 3.
1/3 * 8/8 = 8/24
3/8 * 3/3 = 9/24
There is only 1/24 of juice left in the bottle if the remaining amount of juice has 1/3 poured out.
Hope that helped.
        
             
        
        
        
Liana is correct bc henry included negative numbers
        
                    
             
        
        
        
Step-by-step explanation:
1. 16
2. 16
3. 24
4.39
5. 68
6. 51
 
        
                    
             
        
        
        
The ratio is 2:3 for the side lengths of the triangles. 
so 6:9 is one side and 5:x would be the other side 
2/3 of five is 3.33 and multiplying that by 2 gives you 6.67