anonymous
  • anonymous
So i have a problem and it's about inequality, and it required me to answer it in a complete sentence, little help please :) Problem: Glenda has a $40 gift certificate to a cafe that sells her favorite tuna sandwich for $3.75 after tax. What are the possible number of tuna sandwiches that Glenda can buy with her gift certificate?! And it even said to define a variable, write an inequality then solve. Anyone help me? Thanks :)
Mathematics
schrodinger
  • schrodinger
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Jusaquikie
  • Jusaquikie
3.75x<40 x<40/3.75 let me know if you understand, i'll hang out a bit to answer your questions.
anonymous
  • anonymous
Kk so explanation please :) I dont really get it
Jusaquikie
  • Jusaquikie
is this for algebra?

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anonymous
  • anonymous
pre-algerba actually
Jusaquikie
  • Jusaquikie
do you know how to solve for x? as in 3x=15
anonymous
  • anonymous
you minus it?
anonymous
  • anonymous
-3 on each side?
Jusaquikie
  • Jusaquikie
ok think of the equal sign as line, and you want to balance each side out
Jusaquikie
  • Jusaquikie
if you have 3 times some number = 15 then 3 times what would give you 15?
anonymous
  • anonymous
kk keep it going :)
Jusaquikie
  • Jusaquikie
x is just a number that we don't know what it is yet but we knw that 3*(this number) is 15
Jusaquikie
  • Jusaquikie
now if we didn't know that 3*5 is 15 we could take the 3 to the other side and then all we have on the 1 side is x=
anonymous
  • anonymous
12?
Jusaquikie
  • Jusaquikie
that would be right it it were 3+x=15 but if it's 3*x we have to divide 3
anonymous
  • anonymous
oops nvm i get it
anonymous
  • anonymous
ohh i was right nvm again :P
Jusaquikie
  • Jusaquikie
think of the equal sign like the opposite side, so if you 3*5=15 then 3=15/5
Jusaquikie
  • Jusaquikie
if it's multiplied on 1 side then to move it you devide the other side by what your moving, if it's just + or - then you change the sign and add or subtract from the other side
anonymous
  • anonymous
so 3x=15 then its gonna be 15+3=x?
anonymous
  • anonymous
can you put it in a simple way ?
Jusaquikie
  • Jusaquikie
no if x is next to a number without a + or minus between that means x multiplied by the number
Jusaquikie
  • Jusaquikie
3x means 3 times x
anonymous
  • anonymous
ok gotcha i know that but how to make it balance on either sides?
Jusaquikie
  • Jusaquikie
just like x/3 is x divided by 3
anonymous
  • anonymous
so x=15?
anonymous
  • anonymous
because 15/3=3
Jusaquikie
  • Jusaquikie
so if you had \[\frac{ x }{ 3 }=5\] that would mean that you would need to multiply both sides by 3 so you would get \[\frac{ 3x }{ 3 }=5*3\] the 3 and 3 cancle out and your left with x=3*5 or 15
Jusaquikie
  • Jusaquikie
yes i think your starting to understand a bit
Jusaquikie
  • Jusaquikie
they are still equal if you do the same thing to both sides so to move 3+x=15 we would subtract 3 from both sides and we get x+12 if we have 3x=15 we have to divide both sides by 3 so we get x=15/3 or 5 if we have x/3= 5 we multiply both sides by 3 and get x= 3*5 or 15
anonymous
  • anonymous
OH i get it so back to the problem 3x=15 would be x=5?
Jusaquikie
  • Jusaquikie
< and > work the same way if 3+2>4 then 3>4-2
anonymous
  • anonymous
oh ok get it:)
Jusaquikie
  • Jusaquikie
yes that is correct lets' try this one to be sure you understand \[4x=20\] what is x?
anonymous
  • anonymous
So what about this prbolem? : 2/3 > 1/2 - d/6 / <---- mean " over". Like 2 over 3, 1 over 2 and d over 6
Jusaquikie
  • Jusaquikie
ok treat the > just like you would = what would you do first?
Jusaquikie
  • Jusaquikie
you are trying to get d by itself
anonymous
  • anonymous
kick the d out?
Jusaquikie
  • Jusaquikie
no we want to save that for last wet's get the addition/subtraction out of the way first, \[\frac{ 2 }{3 }>\frac{ 1 }{ 2 }-\frac{ d }{ 6 }\] so if we move 1/2 over it becomes -1/2
anonymous
  • anonymous
how?
Jusaquikie
  • Jusaquikie
so\[\frac{ 2 }{ 3 }-\frac{ 1 }{ 2 }>\frac{ d }{ 6 }\] now how do we subtract fractions?
anonymous
  • anonymous
uhmm divide it?
anonymous
  • anonymous
OMG im so dump. SOrry im just wasting your time :P
Jusaquikie
  • Jusaquikie
you need a common denominator, nah it's ok i need a break from my Calculus homework lol
anonymous
  • anonymous
Oh lol you doing a 7th grader math hw
Jusaquikie
  • Jusaquikie
don't worry about the d/6 right now one piece at a time, math is all in baby steps, when we try to skip stuff we make mistakes so think of it as doing what we know how to make it simpler and right now we can make it simple by subtracting our fractions 2/3-1/2
Jusaquikie
  • Jusaquikie
yeah some day you can help out a seventh grader lol and it's all be good
anonymous
  • anonymous
haha thanks :) OK back to the prob. so 2/3 - 1/2 gonna be 1?
Jusaquikie
  • Jusaquikie
so to subtract the denominator has to be the same so we make them the same by finding something in common or cross multiplying so \[\frac{ 2*2 }{ 3*2 } - \frac{ 1*3 }{ 2*3 } = \frac{ 4 }{ 6 }-\frac{ 3 }{6 }\]
anonymous
  • anonymous
oh yeah i forgot im not that good at math :P or sp its gonna be 1/6 ?
Jusaquikie
  • Jusaquikie
now we have \[\frac{ 1 }{ 6 }>\frac{ d }{6 }\] what would happen if we multiplied both sides by 6?
anonymous
  • anonymous
uhm it still gonna be the same number. But since it lready 6 so i dont think we have to
anonymous
  • anonymous
multiply it right?
Jusaquikie
  • Jusaquikie
yes so what is 6/6
anonymous
  • anonymous
oh so the answer gonna 6?
Jusaquikie
  • Jusaquikie
no, if you have a slice of pizza that is 1/6 of the pizza and then you multiply that by 6 what do you have?
anonymous
  • anonymous
|dw:1352952613102:dw|
Jusaquikie
  • Jusaquikie
the bottom number means that your top number is cut in to that many pieces so 1/6 of a pizza means that you have 6 pieces to make a whole pizza
anonymous
  • anonymous
so the answer is 6/6?
Jusaquikie
  • Jusaquikie
|dw:1352952779790:dw|
Jusaquikie
  • Jusaquikie
|dw:1352952857801:dw|
anonymous
  • anonymous
ohhh..... i don't get it.
Jusaquikie
  • Jusaquikie
how good are you with fractions?
Jusaquikie
  • Jusaquikie
you might need to review them some
Jusaquikie
  • Jusaquikie
(1/1) = (2/2)=(3/3)=(4/4)=(5/5)=(6/6) all =1
anonymous
  • anonymous
Like really bad
Jusaquikie
  • Jusaquikie
6d/6 is the same as (6/6)*d or 1*d or just d
anonymous
  • anonymous
I might need to ask my teacher for that, can you help me with something else instead?
Jusaquikie
  • Jusaquikie
sure
anonymous
  • anonymous
English?
Jusaquikie
  • Jusaquikie
lol nah I don't like English as much as math, good luck
anonymous
  • anonymous
oh wow lol fine back to math
anonymous
  • anonymous
lol im done with everything now, im free :)

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