1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
-BARSIC- [3]
3 years ago
11

My roommate and I are having a house party. We invite 15 couples. At the party, everyone must shake hands with everyone whom the

y do not already know. At the end of the party, I can't remember the number of people I have met, so I go ask all other people at the party how many hands they have shaken, and they each tell me a different number. You do not shake hands with yourself or your 'partner' (the person with whom you came). How many hands did my roommate shake?
Mathematics
1 answer:
Elanso [62]3 years ago
7 0

Answer: There are 105 handshakes that his roommate shake.

Step-by-step explanation:

Since we have given that

Number of couples = 15

As we know the "Handshaking lemma"

Here, n = 15

So, the number of handshakes would be

\dfrac{n(n-1)}{2}\\\\=\dfrac{15(15-1)}{2}\\\\=\dfrac{15\times 14}{2}\\\\=15\times 7\\\\=105

Hence, there are 105 handshakes that his roommate shake.

You might be interested in
K is the midpoint of VW.<br> If KV = 3x and KW = 5x-10, what is VW?<br> 22.5<br> 15<br> 7.5<br> 30
LekaFEV [45]

Answer:

15

Step-by-step explanation:

just took the test. x=5 and the answer to the equation is 15

5 0
3 years ago
What is the volume with base radius 2 and height 6?
vlada-n [284]
Idk the answer sry sry
If I knew I would tell u the
Answer
8 0
3 years ago
I need to know the answer
MissTica

If Sachiko lets x represent the length of the side of the square and she wants to find the length of the perimeter of the square, it is appropriate for her to ...

... B. Set the area equal to x², solve for x, and then multiply the value of x by 4.

_____

The area of a square of side length x is x·x = x². The perimeter of a square of side length x is x+x+x+x = 4·x.

3 0
3 years ago
PLEASE HELP!<br> IMAGE DOWN BELOW!
ankoles [38]

Answer:

1. 11t

2.7w+28

3. 2c+11

4. 8n

5. 10r+15

6. 24−8g

7. 17d−9

8. 8g+7z

9. 23b

10. 2rs+1

11. 9f+9g

12. 4x+y

13. 21a+14

14. 21a+14

15. 6−3k

16. 18n+36

17. 9s+3t

18. 8a−12b

19. 11m+n

20. 2+6z

21. 8x+6y

22. 7hg−7

23. 4st+5

24. 2r+17

25. 7w+6

26. 3(c+2)

27. 8f−4g

28. 2+8q+3r

Step-by-step explanation:

there you go, sorry it took so long

6 0
3 years ago
Which expressions are not polynomials?
Naddika [18.5K]

Answer:

The middle two expressions shown are not polynomials

Step-by-step explanation:

Polynomial terms have positive integer exponents on any variables. A 2/3 power is not an integer exponent. Division by y is equivalent to an exponent of -1, which is not a positive integer.

8 0
3 years ago
Other questions:
  • What is the input to a trigonometric function? A ratio, the x position of a point of the circle, a central angle of a circle or
    11·1 answer
  • Identify the data set that could be quadratic. HELP ASAP!!
    11·1 answer
  • Use the figure to identify each pair of angles as complementary angles, supplementary angles, vertical angles, or none of these.
    9·1 answer
  • Aundrey is buying supplies for school. She buys a new calculator, some books and a notebook. The prices of the ideals are listed
    12·1 answer
  • This one is also giving me a hard time
    11·1 answer
  • A powder diet is tested on 49 people, and a liquid diet is tested on 36 different people. Of interest is whether the liquid diet
    9·1 answer
  • Figure b is a scale image of Figure A
    8·1 answer
  • 2. Graph the solution set to the following inequality:<br> 7-y&lt;2x
    14·1 answer
  • Half of Maria's boxes were destroyed in a fire. She bought seven more boxes.
    7·1 answer
  • Please help 15 points each but beware if you use my points for no reason or don't answer all 3 boxes I'll report you
    9·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!