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spin [16.1K]
3 years ago
15

2 and 1/4 - 3/4 simplest form

Mathematics
1 answer:
Anna007 [38]3 years ago
4 0

2 and 1/4 is 9/4

9/4 - 3/4 = 6/4

6/4 = 1 and 1/2

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Apply the distributive property to create an equivalent expression<br> (-7c+ 8d)0.6=
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A group of 5 friends—Archie, Betty, Jerry, Moose, and Veronica—arrived at the movie theater to see a movie. Because they arrived
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Answer:

there are 48 possible seating arrangements.

Step-by-step explanation:

This can be calculated using the rule  of multiplication, in which the number of options depends on the following cases:

  • Betty is sitting on the 1st middle seat:

<u>        3         </u> * <u>         1              </u> *  <u>   2              </u> * <u>      2         </u>* <u>         1          </u> = 12

  Aisle Seat  1st Middle Seat    2nd Middle  3rd Middle  3rd Row Seat

In this case:

  1. There are 3 options for aisle seat: Archie, Jerry or Moose.
  2. There is 2 option for 1st middle Seat: Betty.
  3. There are just 2 options for the 2nd Middle seat because Veronica can be beside Betty.
  4. There are 2 options for 3rd seat: The two friends that we doesn't assign a seat yet.
  5. There is 1 option for 3rd row seat.

At the same way, we can calculate the possible seating arrangements in the following cases:

  • Betty is sitting on the 2nd middle seat:

<u>        3         </u> * <u>         2              </u> *  <u>   1              </u> * <u>      1         </u>* <u>         1          </u> = 6   Aisle Seat     1st Middle Seat    2nd Middle  3rd Middle  3rd Row Seat

  • Betty is sitting on the 3rd middle seat:

<u>        3         </u> * <u>         2              </u> *  <u>   2              </u> * <u>      1         </u>* <u>         1          </u> = 12

  Aisle Seat  1st Middle Seat    2nd Middle  3rd Middle  3rd Row Seat

  • Betty is sitting on the adjoining seat in the third row:

<u>        1              </u>*  <u>       3       </u> * <u>      3                </u> *  <u>   2              </u> * <u>      1            </u>= 18

3rd Row Seat   Aisle Seat   1st Middle Seat    2nd Middle  3rd Middle

So, there are 48 possible seating arrangements and it is calculate as:

12 + 6 + 12 + 18 = 48

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