Associative Property states that grouping symbols does not affect the outcome. This property works for Addition and Multiplication:
2 + (3 + 4) = (2 + 3) + 4
6 • (5 • 4) = (6 • 5) • 4
For this question, it would be most effective to use an algebraic expression to more easily show what the question is asking. If we use the variable "k" to show the distance in km that he cycled on Sunday, we know that the amount he cycled on Saturday equals k + 12, and the amount that he cycled on the weekend should be the amount of Saturday plus the amount of Sunday. If we write this as an equation we say:
k + k + 12 = 38
=> 2k + 12 = 38
Now we can just rearrange and solve for k:
=> 2k = 26
=> k = 26/2 = 13
Therefore Patrick cycled 13km on Sunday
To solve the answer, we just add 12km to the value for Sunday like so:
12 + 13 = the amount he cycled on Sunday
Hope this helped, remember to please try and understand the maths as well as the answer :))
Answer:
a. the points will be in quadrants q and s
b. the difference between the coordinates of the starting point and the checkpoint is that the starting point is negative on the 5 axis while the checkpoint is positive. the number on the y axis for the staring point and the checkpoint is the same.
The expected duration of the activity is 29 days and 4 hours.
Step-by-step explanation:
Step 1:
The optimistic time, 
= 25 days,
The most likely estimate, 
= 29 days.
The pessimistic time, 
= 34 days.
According to PERT, the expected duration of the activity, 
Step 2:
By substituting the given values, we get
0.1666 days = 
29.1666 days approximately equal 29 days and 4 hours.
