Dave Bowers collects U.S. gold coins. He has a collection of 38 coins. Some are $10 coins, and the rest are $20 coins. If the face value of the coins is $550, how many of each denomination does he have?
Dave Bowers collects U.S. gold coins. He has a collection of 38 coins. Some are $10...
A man has a box of coins that he uses when playing poker with friends. The box currently contains 42 coins, consisting of pennies, dimes, and quarters. The number of pennies is equal to the number of dimes, and the total value is $3.87. How many of each denomination of coins does he have? Let x represent the number of pennies. Complete the table. Denomination (in dollars) Value Number of Coins (in dollars) Pennies 0.01 0.01x Dimes Quarters 0.25 3.87...
a coin collector has 10 identical silver coins and 6 identical gold coins. in how many ways can he place these 16 coins in a row if no two gold coins are placed next to each other?
You want to distribute 100 gold coins among 20 different people. How many ways can he do this if the gold coins are all... (g) identical but instead are distributed into 20 identical piggy banks such that no piggy bank is empty. (h) different and each person gets exactly five coins. (i) identical and each person gets exactly five coins. (j) different and the Leader gets ten pieces while the other people can get any number of pieces
A manager of a store wants to give away some money to her well-earned employees. So, she sets up 20 vases with 1(worthless) lead coin and 1 gold coin in each. Then, she lets an employee roll a single 20-sided die to determine how many vases the employee can sample from. If the employee rolls a k on the die, they can draw 1 coin from k-many vases. (For example, if the employee rolls a 5, they walk away with...
A newspaper carrier has $6.10 in change. He has five more quarters than dimes but four times as many nickels as quarters. How many coins of each type does he have? How many dimes does he have?
Design an O(n)-time non-losing strategy for the first player, Alice, in the coins in-a-line game. Your strategy does not have to be optimal, but it should be guaranteed to end in a tie or better for Alice. Coins in a Line 12.4.1 The first game we consider is reported to arise in a problem that is sometimes asked during job interviews at major software and Internet companics (probably because it is so tempting to apply a greedy strategy to this...
5. Dave earns $3 per week. He buys only two goods: peanut butter (S0.05 per ounce) and jelly ($0.10 per ounce). Bread is provided free of charge by Dave's parents. Dave is very picky and only eats a peanut butter sandwich if has exactly 1 ounce of jelly and 2 ounces of peanut butter. How many ounces of Jelly and Peanut Butter will Dave buy each week? A. 10 Jelly and 20 Peanut Butter B. 20 Jelly and 20 Peanut...
A customer brings in some hamsters to a pet store, some have gold fur and some have black fur.The pet store owner has never come across golden fur hamsters and he doesn’t know if gold fur is dominant or recessive to black and he doesn’t know the genotypes of each of the hamsters. He crosses one golden hamster to one black hamster multiple times. They have over 60 babies; all of them have golden fur. a.From the information above: i.Is...
Due: Wednesday June 10, 2020 A travel company has many British travelers going to the US who would like to exchange their British Pounds into American dollars. They want you to explain how the American dollar amount will translate to the number of different bills and coins. There are many different ways to split a particular dollar amount into bills and coins, but they want to have as many high denomination bills and coins as possible. Assume that the highest...
Bill, Dave, Courtney, and Kyle all plan to become owners of a business called Bob's Burgers: The percentages are broken out below how the company is going to be broken up. Bill, 50% Dave, 20% Courtney, 5% Kyle, 25% Dave has mapped out a business plan calling for modest sales and no or little profit in the first year, but once things catch on, he projects considerable growth and profit potential as follows: Year sales Net...