Answer:
1st piece = Piece A = 5 inches
2nd piece = Piece B = 10 inches
Third Piece = Piece C = 27 inches
Step-by-step explanation:
A 42-inch piece of steel is cut into 3 pieces
Let the lengths be represented as:
1st piece = Piece A 
2nd piece = Piece B
Third Piece = Piece C
Hence:
A + B + C = 42
The 2nd piece is twice as long as the 1st piece
 B = 2A
The 3rd piece is 2 inches more than 5 times the length of the first piece. 
C = 5A + 2
Hence: we substitute
A + B + C = 42 inches
A + 2A + 5A + 2 = 42 inches
8A = 42 - 2
8A = 40 inches
A = 40 inches/8
A = 5 inches
Solving for B
B = 2A
B = 2 × 5 inches
B = 10 inches
Solving for C
C = 5A + 2
C = 5 × 5 + 2
C = 25 + 2
C = 27 inches
Therefore, the lengths of the 3 pieces = 
1st piece = Piece A = 5 inches
2nd piece = Piece B = 10 inches
Third Piece = Piece C = 27 inches
 
        
             
        
        
        
Answer:

Step-by-step explanation:
<em>See attachment for number line</em>
From the attachment, we have the following details:
The first shade of blue covered 10 blocks
The second shade of blue covered 5 further blocks which totaled to 15
So, the fraction of the blue blocks is:

Divide fraction by 5/5


Also from the attachment:
The shaded block stopped at the fraction:

So, the expression that represents this scenario is:


<em>Option (c) answers the question</em>
 
        
             
        
        
        
Answer:
ture
Step-by-step explanation:
 
        
             
        
        
        
Answer:
16-5x
Step-by-step explanation: