Convert the following numbers into base ten.

(a)

24five

(b)

22six

(c)

420five

(d)

4204five

(e)

202five

(f)

1222six

(g)

202four

(h)

404seven

(i)

1001two

(j)

11011two

(k)

88sixteen

(l)

707sixteen

1. In a board game, you must roll two 6-sided number cubes. You can only start the game if you roll a 3 on at least one of the number cubes. (a) Make a list of all the different possible outcomes when two number cubes are rolled.

Simplify the following expression. (1/7x+3/8) + (2/9x-1/8)

A teacher spent 3/4 of the class period teaching new material. The class period was 1 hour in length. How many minutes did the teacher spend teaching new material? Write your response as a decimal.

Two beakers plus their contents have a mass of 180.4 grams. The total mass of the contents is 56.8 grams. Write and solve an equation to find the mass of one beaker.

What is the degree of the polynomial - 1/4abc+2b^2?

It takes three hours for a boat to go 18 miles downstream, and nine hours to return. What is the rate of the boat in calm water and the rate of the current?

A bag contains purple marbles and yellow marbles, 86 in total. The number of purple marbles is 2 more than 5 times the number of yellow marbles. How many purple marbles are there?

Kathleen had a bag of candy-coated chocolates. Of the 60 candies in the bag, 20% were red, 30% were orange, 30% were green, and 20% were blue. Of the blue ones, 10% had a damaged candy coating.

On a baseball diamond, 1st base, 2nd base, 3rd base, and home plate form a square. If the ball is thrown from 1st base to 2nd base and then from 2nd base to home plate, how many feet has the ball been thrown?

Lewis paid $13.55 for a beach chair and $5.75 for a book. How much did Lewis spend? $7.80 $18.20 $19.20 $19.30