Answer:
4512 handshakes
Step-by-step explanation:
We are told in the question, that there are
96 people in the room = 48 couples
Assuming that no husband or wife shakes each others hand but everyone else shakes hands exactly once
This means
48 couples will shake 94 people because they are excluded
This is calculated as
48 × 94 = 4512 handshakes
Answer: 49
Step-by-step explanation:
50−16/4+3
=50−4+3
=46+3
=49
Answer:
a_n = 28-2n
Step-by-step explanation:
Given sequence is:
26,24,22,20
We can see that the difference between consecutive terms is same so the sequence is an arithmetic sequence
The standard formula for arithmetic sequence is:

Here,
a_n is the nth term
a_1 is the first term
and d is the common difference
So,
d = 24-26
= -2
a_1 = 26
Putting the values of d and a_1

Hence, the recursive formula for given sequence is: a_n = 28-2n ..
Answer:
The midpoint is (2.5,4.5)
Step-by-step explanation:
To find the x coordinate of the midpoint, add the x coordinates of the endpoints and divide by 2
(4+1)/2 = 5/2 = 2.5
To find the y coordinate of the midpoint, add the y coordinates of the endpoints and divide by 2
(6+3)/2 = 9/2 = 4.5
The midpoint is (2.5,4.5)