The large of two intengers is 5/2 the smaller. if twicethe smaller is subtracted from twice the larger, the difference is 12. find the two numbers.

Hello!

Let's write this as a system of equations.

L= 5/2s

12= 2L-2s

Let's plug our L value into the second equation and solve for s.

12= 2(5/2s)-2s

12 5s-2s

12=3s

s=4

Now let's plug s into the first equation.

L=5/2(4)

L=10

Therefore, our numbers are 10 and 4.

I hope this helps!

7. d. 64

8. i. 32

9. c. 125

10. j. none of the above

11. d. 81

12. i. 216

13. e. none of the above

14. g. 240

15. e. none of the above

16. g. 32

17.   e. none of the above

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.