Answer:
It is sufficient to prove that 
Step-by-step explanation:
The propositions 
being equivalent means they should always have the same truth value. If one of them is true, then all of them must be true. And if one of them is false, then all of them must be false.
Suppose we've proven that (call these first, second and third implications).
If 
was true, then by the first implication that we proved, it would follow that 
is also true. And then by the second implication that we prove it would follow then that 
is also true. Therefore the three of them would be true. Notice the reasoning would have been the same if we had started assuming that the one that was true was either 
. So one of them being true makes all of them be true.
On the other hand, if was false, then by the third implication that we proved, it would follow that 
has to be false (otherwise would have to be true, which would be a contradiction). And then, since is false, by the second implication that we proved it would follow that 
is false (otherwise 
would have to be true, which would be a contradiction). Therefore the three of them would be false. Notice the reasoning would have been the same if we had started assuming that the one that was false was either . So one of them being false makes all of them be false.
So, the three propositions always have the same truth value, and so they're all equivalent.
Answer:
1/4:1/5
Step-by-step explanation:
25%
Because You must do the original number by the new.
so, 425-340= 85
but ur not done now,
divide that 85 by the original number then times by 100!
85/340= .25*100= 25%
and ur done hope this helped
Answer:
Volume required = 100mL
Step-by-step explanation:
Let the volume of 30% solution required be = V mL
Amount of solute in V mL of solution = 30% of V = 0.3V...............(i)
This amount is also present in 150 mL of 20% solution
For 150 mL of 20% solution we have amount of solute = 150 mL X 20%
= 30..............(ii)
Thus equating i and ii we get
0.3V = 30
Thus V =100 mL
Answer:
1. 5/6 ≥ 2/3
2. 1/5 ≤ 2/8
3. 9/10 ≥ 6/8
4. I can't see it's out of the pic
5. 7/8 ≥ 5/10
6. 2/5 ≥ 2/6
7. 1/3 ≤ 3/8
8. I can't see it's out of the pic.
9. 8/10 ≥ 3/4
10. 3/8 ≤ 11/12
11. 2/3 ≤ 10/12
12. Can't see :(
13. 3/8 ≤ 7/8
14. 2/4 = 4/8
15. 6/8 ≥ 8/12
16. Can't see
Step-by-step explanation: All you have to do is divide the numerator by the denominator to make it into a decimal. For instance....
5/6 = approximately 0.83
I hope this helps you! It took forever....
