Joe is arranging video games on shelves. He has 48 playstation games and 36 xbox games, Each shelf will have the same number of playstation and xbox games. If Joe must place all of the videogames on shelves, what are the possible number of shelves Joe will use?

2 shelves

3 shelves

4 shelves

6 shelves

12 shelves

Step-by-step explanation:

playstation games = 48

xbox games = 36

Each shelf will have the same number of playstation and xbox games.

Find the common multiples of 48 and 36

48 = 2, 3, 4, 6, 8, 12, 16, 24, 48

36 = 2, 3, 4, 6, 9, 12, 18, 36

The common multiples are 2, 3, 4, 6, and 12

Therefore, the possible number of shelves Joe will use is

2 shelves

3 shelves

4 shelves

6 shelves

12 shelves

true

step-by-step explanation:

b: |12 – x| ≤ 0.25

step-by-step explanation:      

let x be the possible lengths in inches, of the ribbons jaime cut.

we have been given that jaime is cutting strips of ribbon for a project. he tries to cut each piece to be 12 inches long, but sometimes he cuts it too long or too short by as much as 0.25 inch.  

we can represent this information in an inequality as:

by the definition of absolute value function we will get,

upon combining our inequalities we will get,

therefore, the inequality   describes all the possible lengths (x), in inches, of the ribbons jaime cut.

step-by-step explanation: