## anonymous one year ago One number is 8 more than another. The sum of the two numbers is 26. What are the numbers?

1. anonymous

I will fan and medal!

2. Vocaloid

Hint: N = the first number N + 8 = the second number N + N + 8 = 26 Solve for N

3. anonymous

2N+8=26 2N=18 N=9

4. Vocaloid

Good, now find N + 8

5. anonymous

17

6. Vocaloid

Good do your two numbers are 17 and 9

7. anonymous

Can you help me with 2 more?

8. Vocaloid

I guess yea

9. anonymous

$\frac{ 5 }{ 6 }*\frac{ 1 }{ 2 }*\frac{ 3 }{ 25 }=$

10. anonymous

The answer has to be simplified.

11. anonymous

$=\frac{ 15 }{ 300 }$

12. Vocaloid

The 25 can be changed to 5 and the 5 can be changed to a 1

13. Vocaloid

Oh, well, 15/300 = 1/20

14. anonymous

1/20 was right

15. Vocaloid

Right, all I did was divide the numerator and denominator by 15

16. anonymous

Right! Last one!$\frac{ 30x }{ 37 }*\frac{ 23 }{ 10}$

17. anonymous

It comes out to 690/370

18. Vocaloid

The 30 and the 10 cancel to get 3 and 1

19. anonymous

69/37

20. Vocaloid

Almost, don't forget the x

21. anonymous

right!

22. anonymous

YES!!!! THANK YOU SO MUCH!!!!!!

23. Vocaloid

69x/37

24. Vocaloid

Great!!!

25. anonymous

Great....I have 2 more....can you help?

26. Vocaloid

K

27. anonymous

$\left(-\begin{matrix}5 \\ 6\end{matrix}\right)^{2}$

28. Vocaloid

Square the numerator and denominator

29. anonymous

- 25/36

30. Vocaloid

The negative sign cancels out to get a positive answer

31. Vocaloid

25/36

32. anonymous

okay

33. Vocaloid

Remember, (-1) squared is 1

34. anonymous

Last One! I promise! (7x+9)-(-2x^2-5x+9)

35. Vocaloid

Distribute the negative sign first

36. anonymous

I got it right! Thank you so much for your help!

37. Vocaloid

Awesome

38. anonymous