Answer: -16x-21
Explanation: 6x + (-22x)=-16x
-18+(-3)=-21
        
                    
             
        
        
        
Answer:
a is proportional to b
a=kb
k is proportionality constant
k =a/b =3/12 =1/4
k=1/4 = a/b=a/18
1/4=a/18
a=18/4 =9/2 =4.5 answer
 
        
             
        
        
        
Answer:
15 miles
Step-by-step explanation:
Let  be the miles in the circular park path,
 be the miles in the circular park path,  the time Louisa takes to finish and
 the time Louisa takes to finish and  the time Calvin takes to finish both in hours.
 the time Calvin takes to finish both in hours.
Then  , the longitude is equal to the velocity times the time used to finish. So
, the longitude is equal to the velocity times the time used to finish. So


And the difference between Louisa's time and Calvin' time is 30 minutes, half an hour. So:

Three equations, three unknowns, the system can be solved.
Equalizing the equation with x :

In this last equation replace  with the other equation and solve:
  with the other equation and solve:
 
 
With Louisa's time find x:
 
 
 
        
             
        
        
        
Answer:
35.7%
Step-by-step explanation:
The change is 45 dollars. (120-75)
The percent of change is the dollars divided by the original price.
45/120=0.357
Or 35.7%
 
        
                    
             
        
        
        
Answer:
AP is 11.25 so the answer is F
Step-by-step explanation:
Since they are similar triangles (due to the ~ symbol)
You can write this:
AC/XZ = AP/XQ
since XZ=12
XQ=5
AC=27
you can write:
27/12=AP/5
then cross multiply:
27x5=135
135/12=11.25
AP is 11.25