Maria and Pedro must divide two pets - a cat and a dog - and a savings account. They decide to use the Adjusted Winner procedure, and each of them assigns a total of 100 points, to be split
among the three items.
Maria assigns 60 points to the dog, 10 points to the cat, and the rest of her points to the savings
account. Pedro assigns 9 points to the dog, 76 points to the cat, and the rest of his points to the
savings account.
With those point assignments, Maria will get the dog, Pedro will take the cat, and they will split the
savings. What percentage of the savings account will Maria get?
Round your answer to the nearest whole percent, but do not include a % symbol with your
response.

Bismuth-210 is an isotope that radioactively decays by about 13% each day, meaning 13% of the remaining bismuth-210 transforms into another atom (polonium-210 in this case) each day. if you begin with 233 mg of bismuth-210, how much remains after 8 days?

Asays "we are both knaves" and b says nothing. exercises 24–31 relate to inhabitants of an island on which there are three kinds of people: knights who always tell the truth, knaves who always lie, and spies (called normals by smullyan [sm78]) who can either lie or tell the truth. you encounter three people, a, b, and c. you know one of these people is a knight, one is a knave, and one is a spy. each of the three people knows the type of person each of other two is. for each of these situations, if possible, determine whether there is a unique solution and determine who the knave, knight, and spy are. when there is no unique solution, list all possible solutions or state that there are no solutions. 24. a says "c is the knave," b says, "a is the knight," and c says "i am the spy."

Damon makes 20 cups of lemonade by mixing lemon juice and water. the ratio of lemon juice to water is shown in the tape diagram. lemon juice\text{lemon juice} lemon juice water\text{water} water how much lemon juice did damon use in the lemonade? cups