Mathematics
28.02.2022 03:37
282
383
7
Solved by an expert

at a party 136 handshakes took place. each person shook hands exactly once with

at a party 136 handshakes took place. each person shook hands exactly once with each of the others present. how many people were at the party?
Show Answers
narutoxptheninja
narutoxptheninja
5,0(20 marks)

9514 1404 393

  17

Step-by-step explanation:

The number of handshakes among n people is n(n -1)/2. Then ...

  n(n -1)/2 = 136

  n(n -1) = 272 = 17×16*

  n = 17

There were 17 people at the party.

* This factoring can be facilitated by recognition that √272 ≈ 16.5, the number midway between the consecutive factors.

gimpypeach
gimpypeach
4,8(66 marks)

2

Step-by-step explanation:

1+1=2

lol tysm

Popular Questions about the subject: Mathematics

Will mark ! write a equation perpendicular to y=(3/4)x -1 that passes through...
Mathematics
15.11.2022 01:06
What is the first step in solving 3x+4=20...
Mathematics
14.08.2021 17:26
X+5 times x +5 equals 49 what is the value of x...
Mathematics
01.09.2020 02:25
Write a third degree polynomial function with zeros 5 and 3i....
Mathematics
20.03.2023 07:40
My number has 2 hundreds and 1 thousand. it has 4 ones and 1 more ten block...
Mathematics
10.09.2022 05:15
Choose the polynomial written in standard form. (5 points) x2y2 + 4x4y + 10x6...
Mathematics
29.06.2020 07:04
13x+8y+ 3z=164 11x+4y+8z=144 6x+2y+9z=96...
Mathematics
20.01.2020 17:30

New questions by subject

Yes or no???????????????...
Mathematics
13.08.2021 22:01
Free p0ints ! 33 enjoy && tpwk 33...
English
18.04.2023 02:25
Hlo hlo hlo hlo koi h​...
Mathematics
10.06.2022 06:18
#
#
#
#
# #

We expand our knowledge with many expert answers