0_0youscareme
  • 0_0youscareme
l2a+1l=1
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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katieb
  • katieb
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anonymous
  • anonymous
that is better this is an absolute value equation so it requires solving two separate equations
anonymous
  • anonymous
one is just what you see as if the absolute value signs are not there \[2a+1=1\] which you can solve in two easy steps
anonymous
  • anonymous
the other is what you get when you change the sign of the number on the right, i.e \[2a+1=-1\] again two easy steps to solve

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0_0youscareme
  • 0_0youscareme
so you pretend the absolute value sign is not there?
anonymous
  • anonymous
for one of them yes, but you have to solve two all together
anonymous
  • anonymous
so lets go ahead and solve them start with \[2a+1=1\] and subtract 1 from both sides, what do you get?
0_0youscareme
  • 0_0youscareme
you get 2a=0
anonymous
  • anonymous
right which means \(a=?\)
0_0youscareme
  • 0_0youscareme
0?
anonymous
  • anonymous
yes ! now on to the next equation
anonymous
  • anonymous
the next one is \[2a+1=-1\] again subtract 1, what do you get?
0_0youscareme
  • 0_0youscareme
2a=-2
anonymous
  • anonymous
right, and now divide by 2
0_0youscareme
  • 0_0youscareme
A=-1
anonymous
  • anonymous
yes lets recap
anonymous
  • anonymous
if you have an absolute value equation like \[|2x+3|=5\] you have to solve two equations:\[2x+3=5\] and also \[2x+3=-5\]
0_0youscareme
  • 0_0youscareme
so on a graph it would look like |dw:1439951388453:dw|
anonymous
  • anonymous
those two numbers, yes
0_0youscareme
  • 0_0youscareme
okie tysm
anonymous
  • anonymous
btw the reason you were getting lots of confusion was because they thought you were asked to solve \[12a+11=1\]
anonymous
  • anonymous
yw
0_0youscareme
  • 0_0youscareme
oh lol ic
0_0youscareme
  • 0_0youscareme
can u help me with another question?
anonymous
  • anonymous
sure
anonymous
  • anonymous
as long as it is not statistics or geometry
0_0youscareme
  • 0_0youscareme
yeah no its not
0_0youscareme
  • 0_0youscareme
-3a+4=-14
anonymous
  • anonymous
no absolute values this time right?
0_0youscareme
  • 0_0youscareme
no
anonymous
  • anonymous
a) subtract 4 from both sides what do you get?
0_0youscareme
  • 0_0youscareme
-3a=-18
anonymous
  • anonymous
ok good now divide both sides by \(-3\)
0_0youscareme
  • 0_0youscareme
a=6
anonymous
  • anonymous
bingo
0_0youscareme
  • 0_0youscareme
omg tysfm ur so smart
anonymous
  • anonymous
lol you are quite welcome
0_0youscareme
  • 0_0youscareme
i suck at math xD
anonymous
  • anonymous
actually you do not
anonymous
  • anonymous
most people have trouble at this level with the signed number arithmetic you do not if you are comfortable with that, you can do all these btw you did them mostly yourself
0_0youscareme
  • 0_0youscareme
can i ask u some more questions?
anonymous
  • anonymous
shoot
0_0youscareme
  • 0_0youscareme
twelve is added to the product of a number and 5. the result is -3. find the number
anonymous
  • anonymous
ok here we need to translate in to math product means multiply
anonymous
  • anonymous
so we pick a variable, or rather you pick one that will be "a number"
0_0youscareme
  • 0_0youscareme
x
anonymous
  • anonymous
lol you have no imagination, i would have picked \(\xi\) but we will use \(x\)
0_0youscareme
  • 0_0youscareme
xD
anonymous
  • anonymous
the "the product of a number and 5" will translate as \(5x\)
0_0youscareme
  • 0_0youscareme
idky but ur making me want 2 actually learn
anonymous
  • anonymous
imagine!
anonymous
  • anonymous
now we add\(12\) to \(5x\) to get what?
0_0youscareme
  • 0_0youscareme
5x+12? or 17x?
anonymous
  • anonymous
first one
0_0youscareme
  • 0_0youscareme
okay
anonymous
  • anonymous
\[5x+12x=17x\] but \[5x+12=5x+12\]
anonymous
  • anonymous
now you are told that this give you \(-3\) so final job is to solve \[5x+12=-3\] takes two steps
0_0youscareme
  • 0_0youscareme
subtract 12 witch gives u 5x=-15
anonymous
  • anonymous
yup next?
0_0youscareme
  • 0_0youscareme
then divide 5 and u get x=-3
anonymous
  • anonymous
ok i guess you are really not so "bad at math" after all
0_0youscareme
  • 0_0youscareme
lool
anonymous
  • anonymous
at least not as bad as i was
0_0youscareme
  • 0_0youscareme
u used 2 be bad at math?
0_0youscareme
  • 0_0youscareme
im shocked
anonymous
  • anonymous
look, it is not like you are born knowing this you have to practice is all
0_0youscareme
  • 0_0youscareme
ic ic
anonymous
  • anonymous
you got more, or are you done?
0_0youscareme
  • 0_0youscareme
i have a few more
anonymous
  • anonymous
go ahead and ask if you want, or try them and ask btw who does homework in the middle of august?
0_0youscareme
  • 0_0youscareme
its a summer packet
anonymous
  • anonymous
kk get you ready for fall
0_0youscareme
  • 0_0youscareme
julie cashed a paycheck and repaid her brother $10 that she had borrowed from him. she then spent $30 on fuel for her car and half of the remaining money on a new tent for camping.she bought a pair of running shoes for $29.45 and had $17.75 left. how much did julie receive when she cashed her paycheck
anonymous
  • anonymous
wow
0_0youscareme
  • 0_0youscareme
so much typing my fingers hurt
anonymous
  • anonymous
guess we need a variable again guess we can recycle \(x\) as the amount of her original paycheck
0_0youscareme
  • 0_0youscareme
i needa finsh this by 2day so my dad can unblock vantage smh
anonymous
  • anonymous
lolol!!!
0_0youscareme
  • 0_0youscareme
fantage*
0_0youscareme
  • 0_0youscareme
this is so laggy i have 2 keep refreshing
anonymous
  • anonymous
yeah i see that too
anonymous
  • anonymous
ok lets start with the amount cashed as \(x\) and start spending money
anonymous
  • anonymous
first spent $10 so has \(x-10\) left then spend another 30 so what is left now?
0_0youscareme
  • 0_0youscareme
x-40?
anonymous
  • anonymous
right now here comes the confusing part
anonymous
  • anonymous
she spends half of that next, in other words half of \(x-40\) do you know what that is?
0_0youscareme
  • 0_0youscareme
um 20?
anonymous
  • anonymous
you forgot to take half of \(x\)
0_0youscareme
  • 0_0youscareme
so x-20?
anonymous
  • anonymous
you know, i have a much much better idea, lets approach this from a different way
0_0youscareme
  • 0_0youscareme
okay
anonymous
  • anonymous
start at the end, and work backwards
anonymous
  • anonymous
julie cashed a paycheck and repaid her brother $10 that she had borrowed from him. she then spent $30 on fuel for her car and half of the remaining money on a new tent for camping.she bought a pair of running shoes for $29.45 and had $17.75 left. how much did julie receive when she cashed her paycheck
anonymous
  • anonymous
at the end she had \(17.75\) before that she spent \(29.45\) so how much did she have before spending the 29.45?
anonymous
  • anonymous
in other words, what is \(17.75+29.45\)?
0_0youscareme
  • 0_0youscareme
47.20
anonymous
  • anonymous
yeah that is what i get
anonymous
  • anonymous
that is the "half the remaining money" so she had twice this amount before buying the stupid tent how much is twice 47.20?
0_0youscareme
  • 0_0youscareme
94,40
0_0youscareme
  • 0_0youscareme
i mean 94.40
anonymous
  • anonymous
yeah right both times
anonymous
  • anonymous
now add the reaming two amounts she spent
0_0youscareme
  • 0_0youscareme
134.40
anonymous
  • anonymous
looks reasonable
anonymous
  • anonymous
it is nice to do algebra without variables in math it is called "arithmetic"
0_0youscareme
  • 0_0youscareme
lol
0_0youscareme
  • 0_0youscareme
i have 4 more questions do u still wanna help me with them?
anonymous
  • anonymous
sure
anonymous
  • anonymous
$15 per answer
anonymous
  • anonymous
$25 for correct ones
anonymous
  • anonymous
just kidding, go ahead lets see them
0_0youscareme
  • 0_0youscareme
im poor asf
0_0youscareme
  • 0_0youscareme
lmfao
0_0youscareme
  • 0_0youscareme
okay
0_0youscareme
  • 0_0youscareme
|dw:1439953689890:dw|
anonymous
  • anonymous
man is that ugly
0_0youscareme
  • 0_0youscareme
lmfao fr
0_0youscareme
  • 0_0youscareme
thats a 0 not a d js
anonymous
  • anonymous
add \(C\) to both sides, which really just means write it
anonymous
  • anonymous
\[\frac{A}{B}x=D+C\] in other words
0_0youscareme
  • 0_0youscareme
oh ic ic
anonymous
  • anonymous
then multiply both side by the "reciprocal" of\(\frac{A}{B}\) which is \(\frac{B}{A}\) USE PARENTHESES !!
anonymous
  • anonymous
by which i mean put parentheses about the \(D+C\)
0_0youscareme
  • 0_0youscareme
so \[\frac{ b }{ a } *\frac{ a }{ b }=(d+c)\frac{ b }{ }\]
0_0youscareme
  • 0_0youscareme
\[\frac{ b }{ a }\] *
anonymous
  • anonymous
something like that
anonymous
  • anonymous
\[\huge x=\frac{b}{a}(c+d)\] looks somewhat more professional
0_0youscareme
  • 0_0youscareme
lol okay ty
anonymous
  • anonymous
yw
anonymous
  • anonymous
3 more until fantage?
0_0youscareme
  • 0_0youscareme
mhm
0_0youscareme
  • 0_0youscareme
state whether the percent of change is a percent of increase or a percent of decrease. then find the percent of change. original:55 new:44
anonymous
  • anonymous
you tell me is going from 55 to 44 an increase or a decrease?
0_0youscareme
  • 0_0youscareme
decrease
anonymous
  • anonymous
ok so we got that out of the way now lets compute the difference what is \(55-44\)?
0_0youscareme
  • 0_0youscareme
11
anonymous
  • anonymous
ok now compare to the original amount of 55 by division,i.e compute \[\frac{11}{55}\]
0_0youscareme
  • 0_0youscareme
0.2?
anonymous
  • anonymous
right, and now turn it in to a percent by moving the decimal two place to the right
0_0youscareme
  • 0_0youscareme
20% decrease
0_0youscareme
  • 0_0youscareme
?
anonymous
  • anonymous
yes
anonymous
  • anonymous
two more
0_0youscareme
  • 0_0youscareme
wow okay
0_0youscareme
  • 0_0youscareme
a clown is preparing for a party by inflating one ballon for every invited guest. just when she has half of the necessary gallons inflated, 3 of them pop. she inflates 5 more balloons, and 2 go pop. then 6 balloons are carried away by the wind. she finishes by inflating 16 more balloons, and then learns that only 12 guest will attend the party. how many extra balling did the clown inflate
anonymous
  • anonymous
???
0_0youscareme
  • 0_0youscareme
huh?
anonymous
  • anonymous
a clown is preparing for a party by inflating one ballon for every invited guest. just when she has half of the necessary gallons inflated, 3 of them pop how many were originally invited? btw i assume gallons means balloons
0_0youscareme
  • 0_0youscareme
ballons not balling lmfao
0_0youscareme
  • 0_0youscareme
and yea ballons
0_0youscareme
  • 0_0youscareme
omg autocorrect
0_0youscareme
  • 0_0youscareme
a clown is preparing for a party by inflating one balloon for every invited guest. just when she has half of the necessary balloons inflated, 3 of them pop. she inflates 5 more balloons, and 2 go pop. then 6 balloons are carried away by the wind. she finishes by inflating 16 more balloons, and then learns that only 12 guest will attend the party. how many extra balloons did the clown inflate
0_0youscareme
  • 0_0youscareme
sorry for the misspelling
anonymous
  • anonymous
i think either there is not enough information or your answer has to have a variable in it
anonymous
  • anonymous
since we don't know how many guests were invited originally, we have no idea how many extra there are but we can write something i suppose
anonymous
  • anonymous
or we can assume that the number is 12 to begin with
anonymous
  • anonymous
lets say she starts with half of 12, which is 6 balloons
anonymous
  • anonymous
3 pop, how many left?
0_0youscareme
  • 0_0youscareme
3
anonymous
  • anonymous
inflates 5 more now how many?
anonymous
  • anonymous
??
anonymous
  • anonymous
report you? i don't even know you!
anonymous
  • anonymous
i dont report, i just ban bye
0_0youscareme
  • 0_0youscareme
8
anonymous
  • anonymous
ok now 2 pop how many left?
0_0youscareme
  • 0_0youscareme
6
anonymous
  • anonymous
now 6 get carried away how many now?
0_0youscareme
  • 0_0youscareme
nuffin
anonymous
  • anonymous
right
anonymous
  • anonymous
then inflates 16
0_0youscareme
  • 0_0youscareme
i feel bad for the clown
anonymous
  • anonymous
which is 4 more than the 12 needed
anonymous
  • anonymous
not a good job i imagine
0_0youscareme
  • 0_0youscareme
lol
anonymous
  • anonymous
brand new??!!
0_0youscareme
  • 0_0youscareme
okay the last one has 2 do with geometry
anonymous
  • anonymous
not so good at that
0_0youscareme
  • 0_0youscareme
okay ill do that one on with my brother he's good at math
anonymous
  • anonymous
ok good luck !!
0_0youscareme
  • 0_0youscareme
okie tysfm for everything
anonymous
  • anonymous
you are quite welcome see you again some time i am sure
0_0youscareme
  • 0_0youscareme
lol yea buh byez

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