Mathematics
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OpenStudy (anonymous):
Part A: Solve A = 9/2 (x + 23) for x.
Part B: Determine the value of x when A = 108.
Part C: Solve -np - 90 > 30 for n. Show your work.
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OpenStudy (anonymous):
@ganeshie8 Help me on this one please??
ganeshie8 (ganeshie8):
\(\large A = \frac{9}{2} (x + 23) \)
ganeshie8 (ganeshie8):
to solve x, you need to isolate it
you need to get x all by itself
ganeshie8 (ganeshie8):
wat shud be ur first step ? :)
OpenStudy (anonymous):
I can't do it with fractions :/ I have no clue
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ganeshie8 (ganeshie8):
me too hate fractions,
so lets get rid of them first
multiply both sides wid 2
ganeshie8 (ganeshie8):
\(\large A = \frac{9}{2} (x + 23) \)
multiply both sides wid 2
\(\large 2 \times A = 2 \times \frac{9}{2} (x + 23) \)
ganeshie8 (ganeshie8):
\(\large A = \frac{9}{2} (x + 23) \)
multiply both sides wid 2
\(\large 2 \times A = 2 \times \frac{9}{2} (x + 23) \)
\(\large 2A = 9(x + 23) \)
ganeshie8 (ganeshie8):
fractions are gone !
OpenStudy (anonymous):
Oh thank goodness xD
So then what do i do?
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ganeshie8 (ganeshie8):
next divide 9 both sides
ganeshie8 (ganeshie8):
\(\large A = \frac{9}{2} (x + 23) \)
multiply both sides wid 2
\(\large 2 \times A = 2 \times \frac{9}{2} (x + 23) \)
\(\large 2A = 9(x + 23) \)
divide 9 both sides
\(\large \frac{2A}{9} = x + 23\)
ganeshie8 (ganeshie8):
see, \(x\) is looking bit lean now
it has oly 23 attached to it now
get rid of it aswell
ganeshie8 (ganeshie8):
wat must we do... to rip off 23 from x
OpenStudy (anonymous):
Umm... and then am I supposed to subtract 23 from both sides?
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ganeshie8 (ganeshie8):
Yes ! you got it !!
ganeshie8 (ganeshie8):
\(\large A = \frac{9}{2} (x + 23) \)
multiply both sides wid 2
\(\large 2 \times A = 2 \times \frac{9}{2} (x + 23) \)
\(\large 2A = 9(x + 23) \)
divide 9 both sides
\(\large \frac{2A}{9} = x + 23\)
subtract 23 both sides
\(\large \frac{2A}{9}-23 = x\)
OpenStudy (anonymous):
But then that would be what??? how do you subtract 23 from that fraction part thingy??
Thats so confusing!
ganeshie8 (ganeshie8):
you cant subtract, so leave it like that
ganeshie8 (ganeshie8):
we're done wid part A
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OpenStudy (anonymous):
Oh wow... Thats confusing
ganeshie8 (ganeshie8):
:) get use to it
ganeshie8 (ganeshie8):
you wil see lot of these,
u wil become comfortable wid these in no time... dont wry
OpenStudy (anonymous):
Okay lol I have no idea what the next question is even asking! >_<
ganeshie8 (ganeshie8):
put A = 108 above, and see wat u get
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OpenStudy (anonymous):
so 2x108?
ganeshie8 (ganeshie8):
\(\large \frac{2A}{9}-23 = x\)
put \(A = 108\)
and find \(x\)
ganeshie8 (ganeshie8):
Yes !
\(\large \frac{2A}{9}-23 = x\)
put \(A = 108\)
\(\large \frac{2\times 108}{9}-23 = x\)
OpenStudy (anonymous):
okay so 216/9-23=x?
ganeshie8 (ganeshie8):
Yes
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ganeshie8 (ganeshie8):
keep going
OpenStudy (anonymous):
24-23=x? so 1=x?
ganeshie8 (ganeshie8):
perfect !
1 = x
is same as
x = 1
ganeshie8 (ganeshie8):
so the value of x when A = 108, is 1
ganeshie8 (ganeshie8):
can u do part C ?
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OpenStudy (anonymous):
Okay thank you :) How about the last one?
ganeshie8 (ganeshie8):
you need to rip off things from n and isolate it
OpenStudy (anonymous):
No... How do you solve those?
OpenStudy (anonymous):
Okay...
ganeshie8 (ganeshie8):
give it a try... il help if u get stuck
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ganeshie8 (ganeshie8):
-np - 90 > 30
OpenStudy (anonymous):
okay give me a sec
OpenStudy (anonymous):
so -np>120?
ganeshie8 (ganeshie8):
-90 is there on \(n\) side,
so get rid of it first by 'adding 90 both sides'
ganeshie8 (ganeshie8):
thats right !
keep going
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OpenStudy (anonymous):
I dunno what to do from there...
OpenStudy (anonymous):
add n to both sides>
ganeshie8 (ganeshie8):
No.
you want \(n\)
OpenStudy (anonymous):
so add p?
ganeshie8 (ganeshie8):
since \(p\) is attached to \(n\),
get rid of \(p\) 'by dividing \(p\) both sides'
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ganeshie8 (ganeshie8):
-np>120
divide p both sides
-n > 120/p
OpenStudy (anonymous):
is that my answer?
ganeshie8 (ganeshie8):
still n is not all by itself
ganeshie8 (ganeshie8):
you need to multiply -1 both sides
to get rid of - sign
ganeshie8 (ganeshie8):
-n > 120/p
n < -120/p
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OpenStudy (anonymous):
How do I do that?
ganeshie8 (ganeshie8):
when u multiply NEGATIVE numbers, u need to flip signs
OpenStudy (anonymous):
oh so its just n<-120/p
ganeshie8 (ganeshie8):
yup
OpenStudy (anonymous):
Okay... Thank you!
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ganeshie8 (ganeshie8):
yw !