Dimitri is to plan the school talent show. each performer for the talent show has 666 minutes for his or her performance, which includes transition time between performances. if the introduction for the talent show is 242424 minutes long and the entire show, including the introduction, will last 150150150 minutes, how many different performances can the talent show accommodate?

We can find the answer by taking the total count of time, 150, and subtract 24 from it. This is because the 24 minute introduction is not part of the performances, so it is not part of our equation.  After we subtract the two numbers to get 126, we divide the remaining number by 6. This is because each performance lasts 6 minutes, so by dividing it from 126, we get the total amount of performances. The answer is 21.

Hope this helps!

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: