A bakery is creating a round cake with three different levels as shown below. The diameters of the three cakes are 10 in, 8 in, and 6 in. The cakes are stacked and centered on top of each other with the largest cake on the bottom and the smallest cake on top. In order to plan the decorations for the cake, the bakery needs to determine the total exposed area available for decoration on the top faces of the three cakes (the sides of each cake will not be decorated). What is the total exposed area, in square inches, of the top faces of the three cakes?

A
25π in2

B
50π in2

C
100π in2

D
200π in2

At a sale this week, a desk is being sold for $213. this is a 29% discount from the original price. what is the original price?

Boris needs to buy plastic spoons. brand a has a box 42 spoons for $2.37. brand b has a box of 72 spoons for $3.57. find the unit price for each brand. then state which brand is the better buy based on the unit price. round your answer to the nearest cent.

Asystem of linear equations with more equations than unknowns is sometimes called an overdetermined system. can such a system be consistent? illustrate your answer with a specific system of three equations in two unknowns. choose the correct answer below. a. yes, overdetermined systems can be consistent. for example, the system of equations below is consistent because it has the solution nothing. (type an ordered pair.) x 1 equals 2 comma x 2 equals 4 comma x 1 plus x 2 equals 6 b. no, overdetermined systems cannot be consistent because there are fewer free variables than equations. for example, the system of equations below has no solution. x 1 equals 2 comma x 2 equals 4 comma x 1 plus x 2 equals 12 c. yes, overdetermined systems can be consistent. for example, the system of equations below is consistent because it has the solution nothing. (type an ordered pair.) x 1 equals 2 comma x 2 equals 4 comma x 1 plus x 2 equals 8 d. no, overdetermined systems cannot be consistent because there are no free variables. for example, the system of equations below has no solution. x 1 equals 2 comma x 2 equals 4 comma x 1 plus x 2 equals 24