There are 6 people at a diner party. how many handshakes will there be if each person shakes hands with every other guest once

20 hand shakes

Step-by-step explanation:

person 1 shakes hand with 2 3 4 5 and 6, which equals 5

person 2 shakes hand with 3 4 5 and 6, which equals 4

person 3 shakes hand with 4 5 and 6, which equals 3

person 4 shakes hand with 5 and 6, which equals 2

person 5 shakes hand with 6, which equals 1

person 6 already shook hands with everybody so that equals 5

5+4+3+2+1+5=20

answer: the price of one pound cabbage = $ 0.8

the point (10,8) represents that the cost of 10 pounds cabbage is $ 8

step-by-step explanation:

since, here is a proportional relation between the number of pounds of cabbage (x) and the price in dollars (y).

therefore, we can write,

⇒ y = k x

where k is the constant of proportionality.

now, point (5,4) is in the line.

thus, it will satisfies the above equation of line.

⇒ 4 = 5 k

⇒ k = 0.8

thus, the equation of the line is,

y = 0.8 x

a) for x = 1,

y = 0.8

therefore, the cost of one pound of cabbage is 0.8 dollars.

b) in the below graph (10,8) represents that the cost of 10 pounds of cabbage is 8 dollars.