Acertain theatre is shaped so that the first row has 23 seats and, moving towards the back, each successive row has 2 seats more than the previous row. if the last row contains 81 seats and the total number of seats in the theatre is 1560, how many rows are there?

There are rows in the theater.

Step-by-step explanation:

Given terms.

Seats in order will form an Arithmetic progression.

As the common difference ,same for three consecutive terms so this an AP.

Now accordingly we can put the AP terms.

Total number of seats

Seats in the first row

Seats in the last row

Summation of terms in AP

OR

Using the second equation.

So the number of rows (n) in the theater

mr. flanders’ class sold 47 doughnuts and   mr. rodriquez’s class sold 38 cartons of milk

step-by-step explanation:

let x be the number of doughnuts sold by mr. flanders’ class and y be the number of cartons sold by mr. rodriquez’s class.

1. together, the classes sold 85 items, then

x+y=85.

2. both classes earn earned $104.49 for their school. if doughnuts were sold for $1.35 each, then x doughnuts costed $1.35x. if cartons of milk were sold for $1.08 each, then y cartons costed $1.08y. hence,

1.35x+1.08y=104.49.

3. solve the system of two equations:

answer: i don't understand. what are the options

step-by-step explanation: