5x + 2y = 29
8x - y = 51
Simultaneously

x=131/21

y=-23/21

Step-by-step explanation:

Given:

5x+2y=29

8x-y=51

Eliminate y variable and solve for x:

  5x+2y=29

+ 16x-2y=102

        21x=131

           x=131/21

Plug x into either original equation and solve for y:

5x+2y=29

5(131/21)+2y=29

655/21+2y=29

655/21+2y=609/21

2y=-46/21

y=-46/42

y=-23/21

tigers

step-by-step explanation:

cougars 12/10 (12-10 = 2)

bobcats 20/10 (20-10 =10)

bulldogs 8/5 (8-5 =3)

tigers 3/5 (3-5 =-2)

a) one student is chosen from classroom a, then a student is chosen from classroom b.  

step-by-step explanation:

independent events are ones in which the probability of one event does not affect the probability of the second event.

one student is chosen from classroom a; this does not affect the chances of choosing a student from classroom b.   this makes these independent events.

when one card is chosen from a standard deck and then set aside before a second card is chosen, the probability of the second card being chosen changes.   this makes them dependent events.

when one student is chosen from classroom a and then a second student is chosen from classroom a, the probability of choosing the second student changes.   this makes them dependent events.

when a letter is chosen from the alphabet and then a second letter is chosen, the probability of choosing the second letter changes.   this makes them dependent events.