Multiply and simplify the following complex numbers: (1 + 2i) x (1 - 4i)

There are 7 performers who are to present their acts at a variety show. One of them insists on being the first act of the evening. If this request is granted, how many different ways are there to schedule the appearances?

Tom went to a store and spent 1/3 of his money. He went to a second store where he spent 1/3 of what remained and then had 12$ when he left. How much money did he start with?

A triangle has vertices at A (3,4), B (-3,2), C (-1,-4). Is the triangle a right triangle. Explain.

An artist painted a mural measuring 9' x 20 1/2' find the area and perimeter of the mural

To win a prize at a carnival, a contestant needs to choose a red (R), blue (B), or yellow (Y) box. They also have to decide if there is a gold (G) or silver (S) ball under the chosen box. Which choice represents the sample space for the event?

A patroman gives a driver a speeding ticket if the driver's speed is greater than 15% over the posted speed limits. if the speed limit is 40 miles per hour. what is the highest speed that a driver can go without receiving a ticket?

The emergency exit map for the youth center came back from the printer, but it's too big for the frame. the map needs to be half its current dimensions. If the current map is 1 in:10 ft, what should the scale of the new map be?

How do you convert 0.125 into a ratio

Suppose there are n students in a class what is the probability at least two students have same birthday

Which fraction is less than 1/2 a. 3/8 b. 5/8 c. 5/7 d. 9/16