Answer:
A piece of duct measures 48 inches.
In each connection, we lost 1 1/2 inches (i guess that it is what you wanted to write)
Then:
If we have 7 pieces of duct connected we have 5 connections (the ones in the extremes are not connected between them, so the number of connections is equal to the number of ducts minus two.)
So here we have 7 times 48 inches for the pieces, minus 5 times 1 1/2 in (i will write 1 1/2 = 1 + 0.5 = 1.5 in, so the math is easier)  for the connections, the length is:
L = 7*48in - 5*1.5in = 328.5 inches.
for the 12 pieces duct, we have 12 pieces and 10 connections, so the length is:
L = 12*48in - 10*1.5in = 561 in
Now, if we want to make only one duct with those two, then we must add their lengths, but if we connect them, we also need to subtract the 1.5in of the new connection:
L = 561in + 328.5in - 1.5in = 888in
 
        
             
        
        
        
The first one would be 166.4x you would Simplify it the next one would be 499.2x would you add them than simplify them too,and the 3rd one is 46.796x the last one is 1996.8<span>x</span>
        
             
        
        
        
Answer:
The experimental probability that the next child to enroll will be a preschooler is 40%
P(E) = 40%
Step-by-step explanation:
What is Experimental Probability?
Experimental probability is basically the ratio of the number of outcomes occurred to the total number of trials in an actual experiment.
In this problem we are given that out of the last 10 children to enroll at the day care center, there are 4 children who belong to the category of preschoolers.
We are asked to find the experimental probability that the next child to enroll will be a preschooler.
The required experimental probability is given by

Where number of desired outcomes are 4 and total number of outcomes are 10
So the probability is

Therefore, the experimental probability that the next child to enroll will be a preschooler is 40%
 
        
             
        
        
        
the answer is x = 20/3 + 4/3y
how to: 3x - 4y - 8 = 12
 3x = 12 + 4y + 8
 3x = 20 + 4y
 x = 20/3 + 4/3y