A local school sold 230 tickets for their performance of Hamlet. They sold a combination of regular tickets and student tickets. The regular tickets sold for $8 each and the student tickets sold for $5. That night they collected $1522 in ticket sales. Write an equation that describes each piece of information. Let "R" represent the number of regular tickets and "S" represent the number of Student tickets. (Hint: Create a system of equations.)

R+S=2301

8R+5S=15222

Step-by-step explanation:

Step one:

given data

let regular be R

and Students be S

total tickets =230

cost of regular = $8 each

cost of students tickets = $5 each

total cost of the both tickets = $1522

Required

The systems of equations

1. for the total number of tickets

R+S=2301

2. For the total cost

8R+5S=15222

Hence the systems of equation for the situation is

R+S=2301

8R+5S=15222

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:

nswer: a   y-axis

step-by-step explanation: