Answer:
<em>6 days</em>
<em></em>
Step-by-step explanation:
Let the time taken by Carpenter working alone =
days
Then time taken by apprentice alone = Twice as that of taken by Carpenter = 2
days
Time taken working together = 2 days
Work done in one day working together = 
Work done in one day by Carpenter working alone = 
Work done in one day by apprentice working alone = 
Work done in one day by Carpenter working alone + Work done in one day by Carpenter working alone =
+
= Work done in one day working together = 

Time taken by Carpenter alone to complete the work = 3 days
Time taken by Apprentice alone to complete the work = 3
2= <em>6 days</em>
When solving these proportions we just remember when moving a number from one side to the other if it started in the numerator it ends up in the denominator and vice versa.
I'll do it in two steps here for teaching purposes; it's not too hard to go directly to the answer.



Answer:
y=4
Step-by-step explanation:
Part A:
Given that <span>A
presidential candidate plans to begin her campaign by visiting the
capitals in 4 of 50 states.
The number of ways of selecting the route of 4 specific capitals is given by

Therefore, the probability that she selects
the route of four specific capitals is

Part B:
</span>
<span>The number of ways of selecting the route of 4 specific capitals is 5,527,200.
Since </span><span>the number of ways of selecting the route of 4 specific capitals is too large it is not practical to list all of
the different possible routes in order to select the one that is best.
Therefore, "</span><span>No, it is not practical to list all of the different possible
routes because the number of possible permutations is very
large."</span>