Determine if the sequence is arithmetic. If it is find the common difference, the 52nd term 38,47,56,65

497

Step-by-step explanation:

Since if we take the difference between each number i.e.

47 - 38 = 9

56 - 47 = 9

65 - 56 = 9

As the difference is same that means it is a arithmetic sequence

Now

The 52nd term is

a(n) = a +(n-1)d

a(52) = 38 +  (52 - 1) (9)

a(52)= 38 + 51 (9)

= 38 + 459

= 497

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: 4 (:

step-by-step explanation: