A board is made up of 9 squares. A certain number of pennies is placed in each square, following a geometric sequence. The first square has 1 penny, the second has 2 pennies, the third has 4 pennies, etc. When every square is filled, how many pennies will be used in total?

Q: A man gave 1/5 of his money to his wife and 1/4 to 5 of his children. If he is left with 99000 How…

A: Let the amount of money the man has, be x. We have, The amount of money the gave to his wife = 15x,…

Q: A bank employee receives 4 weeks of vacation every year, including the week between Christmas and…

A: We have to calculate number of ways in taking 3 weeks vacation out 0f 51 week:

Q: A company receives 1.5% commission on the sale price of each house sold. For each house he sells,…

A: To Find How much money is James earn?

Q: How many dozen doughnuts must be ordered for a meeting if 156 people are expected to attend, and…

A: To determine how many dozen doughnuts must be ordered for a meeting if156 people are expected to…

Q: 3. Jason started a lawn cutting business for the 10 weeks of summer. In his first week, he earned…

A: Given,           Jason started a lawn cutting business for the 10 weeks of summer. In his…

Q: If joe has 666666 snacks and aj has 2020 every time he comes over how many times will there be…

A: Let x denote the number of times aj can have cookies. So after x times, there will be no cookies…

Q: A man went to Atlantic City with $2000 and placed 100 bets of $20 each, one after another, on the…

A: From the given information,

Q: Mr. H has a collection of 500 vessels. In how many ways can he name his favorite and second favorite…

A:

Q: Assume that the pond contains 90 fish: 68 blue, 21 orange, and 1 white. A contestant pays $0.65 to…

A: Total number of fishes = 90 Contestant pays $0.65 for catching one fish and receives $0.20 if fish…

Q: How many ways can you make change for a twenty dollar bill with one,five, and ten dollar biils?

A: We have to find number of  ways we can make change for a twenty dollar bill with one,five, and ten…

Q: Assume that the pond contains 90 fish: 76 orange, 13 blue, and 1 green. A contestant pays $0.55 to…

A:

Q: Johnny has a $1 bill, a $5 bill, a $10 bill, and a $20 bill in his pocket. How many different sums…

A: Given: It is given that Johnny has a $1bill, a $5 bill, a $10 bill and a $20 bill in his pocket. To…

Q: AJ had $400 on Monday. On Tuesday he had $373, and on Wednesday he had $346. If this pattern…

A: This is an arithmetic progression.

Q: A farmer was asked how many chickens he had sold at market that day. His reply was: "I've had four…

A:

Q: A man has 18 coins in his pocket, all of which are nickels and quarters. If the total valueof his…

A: Given,           A man has 18 coins in his pocket, all of which are nickels and quarters and the…

Q: Hosea is given $100. Each day, he gains 1% on the total dollar amount he has, then he loses 1% of…

A:

Q: List all possible combinations of pennies, nickels, dimes and quarters that have a total value of…

A:

Q: c. In the second year, their total profit was $170,000. How much would each of them receive from…

A:

Q: Tiffany starts with $16,000 in her savings account and deposits an additional $25 every week.…

A: In this problem, money determined on the week when their money is eqaul in saving account

Q: Driving down Main Street, you go through three intersections where there are traffic lights. Each…

A:

Q: A leprechaun places a magic penny under a girf's pillow. The next night there are 2 magic pennies…

A:

Q: Mr. Powers gave a coin to each of the 25 children who came to his door for a treat last Halloween.…

A: Let the number of dimes be d and number of nickels be n.Given total number of coins are 25.Hence,d +…

Q: A leprechaun places a magic penny under a​ girl's pillow. The next night there are 2 magic pennies…

A:

Q: On Saturday, you bowl at Cherry Hill Lanes, where renting shoes costs $2 and each game bowled is…

A: Given  On Saturday Each game cost =$3.50  and renting shoes costs = $2 y=3.50g+2 ..(1) On Sunday…

Q: In an art class with 15 boys and 14 girls, five girls and four boys will be chosen to sing a special…

A: Given: Number of boys=15Number of girls=14 The number of ways five girls and four boys will be…

Q: Suppose a student earned grades of 92, 73, 85, 62 and 74 on five quizzes, a grade of 86 on her…

A: Given Data: Let X represent Earned Grades on five quizzes X¯=∑Xn=92+73+85+62+745=77.2   Grade on…

Q: The members of Mrs. Grant’s class are given a number and standing in a circle; they are evenly…

A:

Q: Annaleigh has dance every 5 days and gymnastics every 4 days. If she has both gymnastics and dance…

A: Annaleigh has dance every 5 days and gymnastics every 4 days. This means that the days when she has…

Counting Principles

In statistics, the counting principle can be said to be the concept in which the quantity of an item is determined. There can be a single item, or a group of items, or items that are related to each other. In every possible set of items, the quantity of the possible item groups or their sorting measures can be determined with counting principles.