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]
2 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]2 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
How much will the person pay for 5.6 pounds of bananas at a price of $ 1.17 per pound
lawyer [7]

The total amount that the person will pay for each banana is $6.51.

<h3>How much will the person pay for the bananas?</h3>

The amount that the person will pay in total for the bananas is:

= Quantity of bananas x Price of bananas

Solving for the total cost gives:

= Quantity of bananas x Price of bananas

= 5.6 x 1.17

= $6.51

Find out more on solving for cost at brainly.com/question/24494976

#SPJ4

3 0
1 year ago
Find the midpoint between A and B, given that A=(-1,5) and B=(-3,-7)
Kamila [148]
Hello here is a solution :
<span> midpoint between A and B,is :C( (Xa+xb)/2; (ya+yb)/2)
C( (-1-3)/2;(5-7)/2)
C(-2 ; -1)</span>
6 0
3 years ago
circle a has a radius of 7 and arcs rc cs and sm are congruent to the nearest hundereth what is the length of arc rc
oksian1 [2.3K]
The complete question in the attached figure

we know that
[arcs rc +arc cs arc sm]---------------> they take up half a circle-------->180°
<span> they are all congruent
so
divide 180 by 3 ----------------> 180/3=60</span>°


Find the length of arc rc=60°<span>

if 360</span>°----------------> (2*pi*7) length of circumference 
60° -------------------> X
<span>X=60*2*pi*7/360------------> 7.327 units

the answer is
</span>the length of arc rc= <span>7.33 units

</span>

3 0
3 years ago
I need help ASAP please
jok3333 [9.3K]

Answer:

b,c,d,f

-------------------

3 0
3 years ago
Read 2 more answers
Help me solve this please. I don't know the formula for this.​
den301095 [7]

Answer

48,000

Step-by-step explanation:

base(x)

1,200(40)

8 0
3 years ago
Other questions:
  • Kim bought 10 pizzas for a party .each pizza cost $8.50 kim and 4 of her friends are splitting the cost of the pizzas how much w
    12·2 answers
  • Cost $600. markup is 30% what is the dollar markup
    9·1 answer
  • A school club needs 300 feet of rope for a project. They have the amounts of rope listed below.
    15·1 answer
  • I need help please ..
    6·2 answers
  • I don’t know how to solve for p.
    14·1 answer
  • The function yp=3x2+4x is a particular solution to the nonhomogeneous equation y′′−6y′+9y=27x2−18 Find the general solution of t
    14·1 answer
  • Whats the value of 3(4b-3) when b-2
    7·1 answer
  • A quadrilateral has vertices A{11, -7), B(9,-4), C11,-1), and D(13,-4).
    14·1 answer
  • Simplify this question
    10·2 answers
  • 5 ft, 6 ft, 12 ft<br> Do these side lengths form an enclosed triangle?<br> Choose (YES or NO)
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!