Alice is making a sandwich to pack in her lunch. she has 2 different kinds of bread, 3 cheeses, 4 lunch meats, and 2 condiments to choose from. assuming she uses one of each of bread, cheese, meat, and condiment, how many different sandwiches can she make?

⇒ Number of different sandwiches that can be made = 48

Step-by-step explanation:

Number of different kinds of bread = 2

So, Number of different choices for bread = 2

Number of different kinds of cheeses = 3

So, Number of different choices for cheeses = 3

Number of different kinds of lunch meats = 4

So, Number of different choices for lunch meats  = 4

Number of different kinds of condiments = 2

So, Number of different choices for condiments = 2

Now, we need to find number of different sandwiches which can he make.

So, Number of different sandwiches that can be made = 2 × 3 × 4 × 2

⇒ Number of different sandwiches that can be made = 48

answer: a video game has three difficulty levels: easy, medium, and expert. the game's scoring works in such a way that a player has to score a fixed number of points to advance to the next level, and then the scoring starts over. the total score needed to clear all three difficulty levels is 7,500. two times the number of points needed to clear the easy level is 500 more than the number of points needed to clear the medium level. twice the number of points needed to clear the medium difficulty level is 1,500 more than the number of points needed to clear the expert level. if x, y, and z represent the easy, medium, and expert levels, respectively, and a is the coefficient matrix of the system of equations modeling this situation, identify the inverse matrix, a-1, and the solution matrix, x, of the system of equations.

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