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

t = 3

step-by-step explanation:

put t = 3 in this expression :

(3²-1)(3²-2)(3² - 3)(3² - 4) = 8×7×6×5 = 56×30 = 1680

by definition, an arc subtended by a central angle of some given measure has the same measure. so .