The following sequence shown up top is arithmetic sequence
Ther will be 40 eights. Hope this helps!
Answer:
Step-by-step explanation:
Given that there is a group of 17 people in a party. There takes place a number of hand shakes between them.
To show that there is always two people who shake hands with the same total number of people.
If possible let each person did a different number of handshake.
We know that since there are 17 people, there cannot be more than 16 hand shakes for any one in the group.
Hence if different hand shakes must be 0,1,2...16
Consider the last person having 16 hand shakes. He has shaken hand with each other person in the group thus making it clear that no one could have done 0 hand shakes. Since we get a contradiction, our assumption was wrong. That is, there is always two people who shake hands with the same total number of people.
Answer:
(a) 
(b) 7 hours.
Step-by-step explanation:
(a) Let x be the number of hours and y is the total cost.
We have been given that Beatrice and her friends charge $8 per hour of babysitting, so the charges for x hours of babysitting will be 8x.
As they also charge a mandatory $5 per day fee for each child for snacks, so the total charges for babysit each day will be charges for x hours of babysitting plus mandatory charge.
We can represent this information in an equation as:

Therefore, the equation
represents the total cost of using Beatrice’s babysitting service each day.
(b) To find the number of hours Beatrice babysit the daughter, we will substitute y = 61 in our equation and solve for x.

Let us subtract 5 from both sides of our equation.


Let us divide both sides of our equation by 8.


Therefore, Beatrice babysit 7 hours the daughter.
Expression for part c is missing.
I think they answer might be ....... /7