We have been given that Judy’s brother Sam has a collection of 96 comic books. We have been asked to find the 10 ways Sam could divide his comic books into equal groups.
This can be done as follows:
96 can be written as
. Thus, we can either have 2 groups of 48 comics or 48 groups of 2 comics. As we can see we have 2 ways to divide the comic books in equal groups.
Likewise, 96 can also be written as
. Here, we can similarly see that we can either have 3 groups of 32 comics or 32 groups of 3 comics. As we can again see we have 2 more ways to divide the comic books in equal groups, taking the total number of ways to 4.
Continuing in this manner we will see that we can have 4 groups of 24 or 24 groups of 4, 6 groups of 16 or 16 groups of 6 and lastly 12 groups of 8 or 8 groups of 12 comic books, thus taking the count to a <u>total of 10 ways</u> in which Sam can divide his comic books into equal groups.
Our question has been answered.
Answer:
Step-by-step explanation:
The pressure is equal to the atmospheric pressure 101 kN/m plus 8 kN/m for every meter below the surface, therefore;
a. expression for pressure is given by,
............................... (1)
where d = depth below the surface in meter.
b. to find the depth at any pressure, equation (1) above is rearranged to make depth (d) subject of the formula

as an example, to find depth at pressure of 200N/m
d = (200 - 101)/8 = 12.375 meters
depth is 12.375 meters below the surface.
44 identical red wooden blocks can be arranged in 44! ways
99 identical white wooden blocks can be arranged in 99! Ways
If the 44 red blocks and the 99 white blocks are to be
stacked on top of one another, the number of different color patterns that can
result = 44! x 99!
44! = 2.65827157 x 10^54
99! = 9.33262154 x 10^155
44! x 99! = 2.48086426 x 10^210
Therefore, 2.48086426 x 10^210 different color patterns can result