At a basketball game, a team made 57 successful shots. they were a combination of 1- and 2-point shots. the team scored 99 points in all. write and solve a system of equations to find the number of each type of shot. 40 points

The number of 1-point shots is 15 and the the number of 2-point shots is 42

Step-by-step explanation:

Let

x ----> the number of 1-point shots

y ----> the number of 2-point shots

we know that

----> equation A

----> equation B

Solve the system by graphing

Remember that the solution of the system is the intersection point both graphs

using a graphing tool

The intersection point is (15,42)

see the attached figure

therefore

The number of 1-point shots is 15 and the the number of 2-point shots is 42

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.