Which expression is not equivalent to −3/8⋅(−4+1/ 2)

1. -3/8 * -3 + -3/8 * -1/2
2. -3/8 * -4 + 3/8 * 1/2
3. -3/8 * -4 - 3/8 * 1/2
4. -3/8 * -31/2

2. -3/8 * -4 + 3/8 * 1/2

Step-by-step explanation:

The given expression is

When we rewrite -4 as -3-1

We get

Now add the -1 and the ½ to get:

Expand now to get:

...This gives the first option.

Again, we expand the parenthesis of the original directly using the distributive to obtain;

......This gave us the third option.

We could also simplify the expression in the parenthesis first to get;

....This is the fourth option.

Hence the second options is NOT equivalent to the given expresion.

1. 3.4/4

2. 0.8/7

3. 0.5 x 3

4. 0.9 x 6

5. 10.8

6. 2.35

7. 0.567

8. 9.35

9. 0.02

10. 0.06

11. 0.16

12. 0.42

13. 0.63

14. 5.6

15. 8.1

16. 9.9

17. 0.28

18. 0.48

19. 0.27

20. 0.49

21. 0.45

22. 0.72

23. 0.9

24. 0.88

25. 0.75

26. 0.16

27. 0.328

28. 0.495

29. 0.72

30. 1.068

7 ft 6 in means 7 1/2, because 6 in is 1/2 of a foot. 7 ft 8 in means 7 2/3 because 8 in is 2/3 of a foot. 23/3 = 7 2/3. 15/2 = 7 1/2.

23/3   *   15/2   = 57 1/2

step-by-step explanation: