The tree diagram below shows all of the outcomes for flipping 3 coins.

A tree diagram has outcomes (H, H, H), x, (H, T, H), (H, T, T), (T, H, H), (T, H, T), (T, T, H), (T, T, T).

Which outcome is represented by x?
heads on the first coin, heads on the second coin, and tails on the third coin
heads on the first coin, tails on the second coin, and tails on the third coin
heads on the first coin, heads on the second coin, and heads on the third coin
heads on the first coin, tails on the second coin, and heads on the third coin

(H, H, T) represents X

Step-by-step explanation:

If a coin is tossed the outcome is either Heads or Tails.

If 3 coins are tossed, then the total no. Of outcomes are 8 .

The outcomes are,

(H, H, H), (H, H, T), (H, T, H), (H, T, T), (T, H, H), (T, H, T), (T, T, H), (T, T, T)

The outcome represented by X is heads on the first coin, heads on the second coin, and tails on the third coin.

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: