Mathematics
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OpenStudy (anonymous):
Someone please help me help my sister. Much will be appreciated. Thank you in advance. Medal will be included.
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OpenStudy (anonymous):
Question number 1. Write an algebraic expression for the phrase the quotient of n and 6.
jimthompson5910 (jim_thompson5910):
hint: quotient is the result of a division problem
example: the quotient of 20 and 2 is 10 (since 20 divided by 2 is 10)
OpenStudy (anonymous):
So would it be written like this: n divided by 6.
jimthompson5910 (jim_thompson5910):
yep, or you can write it as n/6
or \[\Large \frac{n}{6}\]
jimthompson5910 (jim_thompson5910):
it will depend on the context really
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OpenStudy (anonymous):
Okay, will you be willing to help me help my sister some more?
jimthompson5910 (jim_thompson5910):
since they want an algebraic expression, i'd go with the symbolic form instead of the verbal form
jimthompson5910 (jim_thompson5910):
is she not able to log in?
OpenStudy (anonymous):
She is but I guess she doing something, would you like her to log in?
OpenStudy (anonymous):
Hold on, I'll tell her to log in, so she can get some help.
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OpenStudy (anonymous):
@Ahlpa_Omega32
OpenStudy (anonymous):
umm..okay..will you help me solve these problems?
jimthompson5910 (jim_thompson5910):
well it's best to help directly
jimthompson5910 (jim_thompson5910):
did the last one make sense?
OpenStudy (anonymous):
yeah, it made sense thanks
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jimthompson5910 (jim_thompson5910):
when I click the link, I get "Internal Server Error"
OpenStudy (anonymous):
lemme try again
jimthompson5910 (jim_thompson5910):
post a screenshot
OpenStudy (anonymous):
mkay give me a sec
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OpenStudy (anonymous):
OpenStudy (anonymous):
sorry about the other windows.
jimthompson5910 (jim_thompson5910):
that's ok
jimthompson5910 (jim_thompson5910):
so which ones do you need help on?
jimthompson5910 (jim_thompson5910):
I see that we just did #1
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OpenStudy (anonymous):
yeah
OpenStudy (anonymous):
i need help on 3,7,21 and 23.
jimthompson5910 (jim_thompson5910):
ok let's start with #3
jimthompson5910 (jim_thompson5910):
how far did you get with this?
OpenStudy (anonymous):
i haven't started it yet, I was jumping around on the problems, i was doing the easier ones first.
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jimthompson5910 (jim_thompson5910):
what does pq mean? What does it mean when two variables are close together like that?
OpenStudy (anonymous):
well, don't we have to solve for both of them..?
jimthompson5910 (jim_thompson5910):
don't worry about solving right now, all I care about at the moment is translating what pq means
jimthompson5910 (jim_thompson5910):
does it mean p+q ?
p - q ?
or something else?
OpenStudy (anonymous):
p - q, right?
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jimthompson5910 (jim_thompson5910):
no if we wanted to say p - q, then we would have just wrote that (instead of pq)
jimthompson5910 (jim_thompson5910):
pq actually means p*q which is read out loud as "p times q"
jimthompson5910 (jim_thompson5910):
the multiplication symbol is often written as a small symbol, which kind of explains why it disappears
OpenStudy (anonymous):
that makes sense
jimthompson5910 (jim_thompson5910):
So the expression is really
-(p*q)^2 divided by (-8)
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jimthompson5910 (jim_thompson5910):
you can use a slash / to mean division, so you could also write it as
-(p*q)^2 / (-8)
OpenStudy (anonymous):
okay
jimthompson5910 (jim_thompson5910):
so they want you to evaluate the expression -(p*q)^2 / (-8) for p = 2, q = 4
OpenStudy (anonymous):
so its written like this: -(2*4)^2 ÷ (-8)
right?
jimthompson5910 (jim_thompson5910):
That means you just replace EVERY copy of p with 2, and EVERY copy of q with 4, then you use the order of operations to evaluate
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jimthompson5910 (jim_thompson5910):
good
jimthompson5910 (jim_thompson5910):
from there, use PEMDAS
OpenStudy (anonymous):
still there both have parenthesis, we do go left to right..?
OpenStudy (anonymous):
go*
jimthompson5910 (jim_thompson5910):
do the stuff in the parenthesis first, then do exponents
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jimthompson5910 (jim_thompson5910):
when it comes to division, you go from left to right
OpenStudy (anonymous):
so 6^2 ÷ (-8)
jimthompson5910 (jim_thompson5910):
2*4 is not 6
jimthompson5910 (jim_thompson5910):
and you lost a negative sign out front
OpenStudy (anonymous):
i see it now, my mistake.
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jimthompson5910 (jim_thompson5910):
so you should have
-8^2 ÷ (-8)
OpenStudy (anonymous):
okay, i wasn't thinking, so we multiply 8 or do we do the other parenthesis?
jimthompson5910 (jim_thompson5910):
well the other parenthesis simply has -8 in it, so there's no operation to do inside that parenthesis
jimthompson5910 (jim_thompson5910):
that parenthesis is just there to make sure you divide by all of -8 and not just the negative
OpenStudy (anonymous):
so we now multiply the 8^2
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jimthompson5910 (jim_thompson5910):
what does 8^2 mean?
OpenStudy (anonymous):
we multiply 8 by 2
jimthompson5910 (jim_thompson5910):
no, if we wanted to multiply we would say 8*2
jimthompson5910 (jim_thompson5910):
8^2 means 8 squared
jimthompson5910 (jim_thompson5910):
8*2 = 16
8^2 = ???
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OpenStudy (anonymous):
hmm, my teacher has always said when we see problems like that we multiply..
jimthompson5910 (jim_thompson5910):
well 8^2 means 8*8 since squaring means you multiply a number by itself
jimthompson5910 (jim_thompson5910):
but I meant 8^2 does NOT mean 8 times 2
OpenStudy (anonymous):
okay got it
jimthompson5910 (jim_thompson5910):
so what is 8^2 equal to?
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OpenStudy (anonymous):
64?
jimthompson5910 (jim_thompson5910):
good
jimthompson5910 (jim_thompson5910):
-8^2 ÷ (-8)
turns into
-64 ÷ (-8)
jimthompson5910 (jim_thompson5910):
the last step is to divide
OpenStudy (anonymous):
8?
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jimthompson5910 (jim_thompson5910):
correct
jimthompson5910 (jim_thompson5910):
that's your final answer
OpenStudy (anonymous):
hmm, now that i look at it, it wasn't so hard, maybe because the first time i wasn't willing to learn but now it easy
jimthompson5910 (jim_thompson5910):
yeah it's not too bad
OpenStudy (anonymous):
true
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OpenStudy (anonymous):
thanks
jimthompson5910 (jim_thompson5910):
you're welcome
jimthompson5910 (jim_thompson5910):
did you still need help on 7,21,23?
OpenStudy (anonymous):
just 21, i think i got the hang of the other two.
jimthompson5910 (jim_thompson5910):
ok great, 21 has us looking for the error someone has committed
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jimthompson5910 (jim_thompson5910):
the error has to do with following the order of operations (PEMDAS) incorrectly
jimthompson5910 (jim_thompson5910):
line 1 is correct since it's the starting line, so ignore that line
is line 2 correct?
OpenStudy (anonymous):
everything looks right
jimthompson5910 (jim_thompson5910):
and line 2 is correct, so you are correct
jimthompson5910 (jim_thompson5910):
how about line 3?
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OpenStudy (anonymous):
everything also seems alright
jimthompson5910 (jim_thompson5910):
line 3 is incorrect
jimthompson5910 (jim_thompson5910):
first tell me what is going on in line 3 (ie what operation they are doing)
OpenStudy (anonymous):
+?
jimthompson5910 (jim_thompson5910):
they are adding, yes
specifically -15 to -9 to get -24
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jimthompson5910 (jim_thompson5910):
but look at PEMDAS, does addition come before division?
OpenStudy (anonymous):
no it comes after division