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Mathematics 24 Online
OpenStudy (anonymous):

7. If a conditional and its converse are always true, then the statement is a ______________________?

OpenStudy (anonymous):

@Dobby1

OpenStudy (dobby1):

hmm i am better with numbers but I will try to find out

OpenStudy (anonymous):

ok.

OpenStudy (anonymous):

well could you help me with another one?

OpenStudy (dobby1):

yes and i found the answer it is a biconditional

OpenStudy (anonymous):

Ok, and your absolutely sure, i have to get this right haha?

OpenStudy (dobby1):

yeah I am pretty sure and the answer to the second one is c i think

OpenStudy (anonymous):

c?

OpenStudy (dobby1):

yes c

OpenStudy (anonymous):

thanks.

OpenStudy (dobby1):

np tell me if they are right if not I will hit my self with a bat lol

OpenStudy (anonymous):

Ok, haha, hopefully they are.

OpenStudy (dobby1):

yeah I am pretty sure they are though are you home schooled?

OpenStudy (dobby1):

hey sorry computer frieked out

OpenStudy (anonymous):

haha its fine.

OpenStudy (dobby1):

what was the problem?

OpenStudy (dobby1):

ok this is easy i love these questions :)

OpenStudy (dobby1):

the first thing we need to do is add the following integers together 1+2+3+4+5+6+7+8+9+10

OpenStudy (anonymous):

55

OpenStudy (dobby1):

@supsavannah

OpenStudy (dobby1):

oh oops sorry

OpenStudy (dobby1):

i did not see you replie

OpenStudy (anonymous):

its ok hha

OpenStudy (dobby1):

ok so look at your chart what do you notice about the second part for each level? by that I mean post one of those sections

OpenStudy (anonymous):

its going up 1 more every time?

OpenStudy (dobby1):

kind of here look at this one in my nest post

OpenStudy (dobby1):

\[15=\frac{ 5\times6 }{ 2 }\]

OpenStudy (anonymous):

yes

OpenStudy (dobby1):

ok so if youlook at the fraction part of each one it is always the number you just added times the number that comes after it divided by 2

OpenStudy (anonymous):

oh, so im not trying to find the one that comes after 15?

OpenStudy (dobby1):

so when you add 4 to 1+2+3 making it 1+2+3+4 it is \[10=\frac{ 4*5 }{ 2 }\]

OpenStudy (dobby1):

no you are trying to find what the equation is that would come up with the same answer as when you added all the numbers that you had added so far

OpenStudy (dobby1):

are you understanding so far

OpenStudy (anonymous):

ok, im following so far

OpenStudy (dobby1):

ok so after seeing the equations I just posted tell me which of the following of my posts is correct

OpenStudy (anonymous):

ok

OpenStudy (dobby1):

\[55=\frac{ 9*10 }{ 2 }\]

OpenStudy (dobby1):

or

OpenStudy (dobby1):

\[55=\frac{ 10*11 }{ 2 }\]

OpenStudy (anonymous):

second one.

OpenStudy (dobby1):

ok why do you pick that answer

OpenStudy (anonymous):

well 10 times 11 is 110. Divide 110 by 2 and you get 55.

OpenStudy (dobby1):

GREAT see that was not so hard you are a natural

OpenStudy (anonymous):

thanks! but 55 isnt in the answers choices but 10 times 11 over 2 is. so i'll pick that

OpenStudy (dobby1):

but if I had not postedthose answer choices how would you have found the answer

OpenStudy (anonymous):

well i would have worked it out.

OpenStudy (dobby1):

ok

OpenStudy (dobby1):

hm this is a tricky one give me a sec

OpenStudy (anonymous):

ok

OpenStudy (dobby1):

the one that seems closest is the transitive property but am not quit sure the transitive property os not defined like that and the first two are definitly wrong so it is either c or d I am not sure

OpenStudy (anonymous):

:| Thanks anyways.

OpenStudy (dobby1):

np atleast I narrowed it down lol

OpenStudy (dobby1):

that is what I would choose

OpenStudy (dobby1):

ok sorry I was working it out

OpenStudy (dobby1):

this is pretty easy the law of syllogism states that if p, then q. if q, then r. if, then r.

OpenStudy (dobby1):

so here is an example that I am going to make up

OpenStudy (dobby1):

if it rains, then I will need a rain coat. if i need a rain coat, then I will look stupid. so because of those 2 we can come up with the following if it rains, then i will look stupid

OpenStudy (dobby1):

does that make sence

OpenStudy (anonymous):

i dont understand.

OpenStudy (dobby1):

ok uhm let me put it this way what I posted above are three statements

OpenStudy (dobby1):

they gave you the first 2

OpenStudy (anonymous):

wait is it d? because it follows if and then?

OpenStudy (dobby1):

to find the 3rd you take the first part of the first statement and put it in front of the second part of the second statement

OpenStudy (anonymous):

D?

OpenStudy (dobby1):

yes d but do you under stand how to find it other than the if and then stuff

OpenStudy (anonymous):

eh, a little.

OpenStudy (dobby1):

wok would you mind doing this one for me just for practice I understand if you dont want to

OpenStudy (anonymous):

B becaise its a counterexample? right?

OpenStudy (dobby1):

I am talking about can I post and example for the last question we did so i can make sure you know how to do it

OpenStudy (dobby1):

I will help you with this one

OpenStudy (anonymous):

oh ok sure.

OpenStudy (dobby1):

ok give me a sec to write it down

OpenStudy (dobby1):

what is the last statement

OpenStudy (dobby1):

oops hold on

OpenStudy (dobby1):

if it is muddy out side, then I will get dirty. if I get dirty, then I will need new clothes.

OpenStudy (dobby1):

there now what is the third statement

OpenStudy (anonymous):

if it is muddy outside,th then i will need new clothes.

OpenStudy (dobby1):

YES YOU GOT THIS DOWN lol

OpenStudy (dobby1):

yes in one sec let me go help my brother with something he is terrible at algebra

OpenStudy (anonymous):

ok

OpenStudy (anonymous):

done yet?

OpenStudy (dobby1):

yeah sorry I am back

OpenStudy (anonymous):

ok.

OpenStudy (dobby1):

what one do you think it is

OpenStudy (dobby1):

ok well just because it says counter example does not mean it needs it for example it says if false give counter example and neither of the two with counter examples are correct

OpenStudy (anonymous):

ok

OpenStudy (dobby1):

honestly I think it is a

OpenStudy (anonymous):

ok.

OpenStudy (dobby1):

but i have never been great at these

OpenStudy (anonymous):

its alright haha after this question i only have one more.

OpenStudy (dobby1):

ok this is very easy just subtract the missing line from RT

OpenStudy (anonymous):

Rt-?

OpenStudy (dobby1):

yes

OpenStudy (anonymous):

idk.

OpenStudy (dobby1):

ok so here is your original equation RT=RS+ST

OpenStudy (anonymous):

yes

OpenStudy (dobby1):

your new equation is RS=RT-?

OpenStudy (anonymous):

ST

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