In a theater there are 20 rows of 12 seat and 20 rows of 10 seats each. All but 30 chairs are full. How many people are in the theater?

410

Step-by-step explanation:

20 rows of 12 means there are x amount of people in the 20 rows of 12 seats.

x=20*12

x=240

20 rows of 10 means there are y amount of people in the 20 rows of 10 seats.

y=20*10

y=200

We know that there are 440 seats in the theater. (240+200)

Since 30 chairs are not full, we subtract 440 from 30 and you get 410.

There are 410 people in the theater.

thethey are 410 persons in the theater

Step-by-step explanation: 20*12=240 and 20*10=200

240+200=440-30=410

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: