Step-by-step explanation:
sol;
 x+1=y...(1)
 3y-7=2x....(2)
or, 3(x+1)-72x [from (1)]
or, 3x+3-7=2x
or, 3x-2x=7-3
      x=4
now,
putting the value of x in (1)
y=x+1
  =4+1
  =5 
PR and SQ are the diagonal of PQRS.
 
        
             
        
        
        
Answer:
3 packages of pencils and 4 packages of crayons 
 
        
                    
             
        
        
        
Let the distance be x miles 
Time = Distance / speed 
Time taken by Mike to go to his friend's house = x / 40 hours 
Time taken by him to return = x / 45 hours 
Total time = x / 40 + x / 45 = 4 hours 
= 9x + 8x = 1440 miles 
17x = 1440
= x = 1440 ÷ 7
= x = 84.706
Time taken to return home = 84.706 /45= 1.882 hours .
Therefore , Mike took 1.882 hours to reach home .
 
        
             
        
        
        
Answer:
D
Step-by-step explanation:
If you look at the right side of each piecewise function, you will see the x-values. That is what we will be focusing on in this explanation. All four equations have x <u>></u> 4, and we know that to be true. If you look at the equation on the graph going South West, you will see that the endpoint is at x=1. Only 1 equation, D, has this in the piecewise function. To confirm it is D, you can see that 1<x<4 is also in the piecewise function, and all the values line up with their corresponding y-values. 
Hope this helps! :)
 
        
             
        
        
        
9514 1404 393
Answer:
   20 2/3 miles
Step-by-step explanation:
Altogether Jamal hiked 1 + 1 9/11 times the length of the first trail:
   (2 9/11)(7 1/3) = (31/11)(22/3) = 62/3 = 20 2/3
Jamal hiked 20 2/3 miles.