anonymous
  • anonymous
Someone please check. q+12-2(q-22)>0 q+10q-220>0 11q(-220+220)>0 11q>220 q>20
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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jamiebookeater
  • jamiebookeater
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anonymous
  • anonymous
where do you get 10q from?
anonymous
  • anonymous
12-2, then I distributed by parenthesis
anonymous
  • anonymous
Is that wrong NickR?

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anonymous
  • anonymous
you need to distribute first
theEric
  • theEric
\[q+12-2(q-22)>0\]
theEric
  • theEric
That's the start, right?
theEric
  • theEric
@cbm (just making a notification pop up :P )
anonymous
  • anonymous
i think you made a mistake there q+12-2(q-22)>0 q+12-2q+44 >0 -q +56 >0 -q > -56 q>56
anonymous
  • anonymous
sorry q<56
theEric
  • theEric
I agree with jayz657's work. Any questions, @cbm ?
anonymous
  • anonymous
Thank ya'll so much! I was reworking it. Yep, once I distributed I got the same answer. The sign at the end changed right? From > to <
anonymous
  • anonymous
I wish you could give more than one best response
theEric
  • theEric
Yep! Because you multiplied or divided by a negative!
anonymous
  • anonymous
@theEric thanks!
theEric
  • theEric
My pleasure. I'm glad you got it worked out :) Good luck with any more you have to do!
anonymous
  • anonymous
Thanks, I'm struggling with one more now trying to set up an inequality.
theEric
  • theEric
You can ask it here or in another question. I have time if you'd like a hand. Algebra like this can be hard at first.
anonymous
  • anonymous
Ok, it will take me a minute to type it. Thanks for your help. Yes, I'm too old to learn this stuff.
theEric
  • theEric
Haha, no such thing. It might just require some thinking and rethinking, right? Maybe thinking in a different light! I started thinking about counting cookies/blocks again before so the numbers meant something.
theEric
  • theEric
And take your time!
anonymous
  • anonymous
Your making a rectangular patio that is 10ft wide and 20ft long, using square pavers that have an area of 0.81 sq ft, what is the # of pavers u will need? Write and solve an inequality to find the answer.
anonymous
  • anonymous
Lol, I'm trying. I thought I had equations but not the fractions
anonymous
  • anonymous
would it be like (10x20).81=p
anonymous
  • anonymous
idn
theEric
  • theEric
The first step is always understanding the problem. Then we move on.. So I have a quick question... Each "paver" is .81 square feet, and we need to know how many of the will fit in our 10 foot by 20 foot area?
anonymous
  • anonymous
Yep, thats the question.
theEric
  • theEric
Alright! Then (10*20) is definately your area of the patio. And you wanna see how many .81 area portions will fit into that. How many times does .81 go into (10*20) is the question to get you to your answer. That's a division thing.
anonymous
  • anonymous
I got 246,9 so P≥246.9
theEric
  • theEric
That's just one way to look at it. There's another way in which you build the equation and solve.. I got the same number after rounding. Is this supposed to be inequality?
anonymous
  • anonymous
I'm not sure if I'm writing the inequality right or not (10ftx20ft)/.81=p
anonymous
  • anonymous
Yes, it's supposed to be an inequality
theEric
  • theEric
That's what I would do to!
anonymous
  • anonymous
To me it works and gives the answer when you work it.
theEric
  • theEric
I don't see why it would be inequality! There must be something I'm not thinking of.. I thought it would want an exact number...You want so many pavers.... OR! Do you want at least so many pavers? Meaning that many or more?
anonymous
  • anonymous
Do you want me to create a problem so I can give you a medal? I'm not sure what the medal do.
anonymous
  • anonymous
I was trying to figure out why it want come out to a whole number also unless it's ≥
theEric
  • theEric
They're just sort of recognition you can count. I'm not worried about it. Thanks though!
theEric
  • theEric
Yeah, I think maybe that's the idea of it.. why they want inequality.. Although you'd think rounding it up to 247 would be good enough! Maybe the question was just not appropriate for this subject!
anonymous
  • anonymous
Oh, ok thanks! Maybe (10x20)/.81≥p
theEric
  • theEric
I would say \[p\ge 246.0\]
theEric
  • theEric
You would want more pavers rather than less. At least you get your patio done that way :P
anonymous
  • anonymous
LOL, that's the truth.
theEric
  • theEric
Pavers area things should be greater than or equal to the patio area... to get the patio done :P Yeah!
theEric
  • theEric
Using just that sentence, you can set up the inequality. \[p_{NumberOfPavers}\ge A_{PatioArea}\]
anonymous
  • anonymous
I've been trying everything to get an even number. I don't understand why it would be a decimal. I tried breaking it up into inches, etc. Thanks again for your help.
theEric
  • theEric
It might just not come out to be an even number. It happens. We could solve it to be a fraction instead of a decimal. With fractions, your always exact (no rounding).
theEric
  • theEric
I have five cookies to share between us. How many can we each have? 2.5. Books don't always make problems come out to nice numbers either..
theEric
  • theEric
So maybe that's the case here.
anonymous
  • anonymous
true, I hope so.
theEric
  • theEric
Same. Good luck with that! If you solve it as a fraction, note that .81 = 81/100.
anonymous
  • anonymous
alright, Thanks again!!
theEric
  • theEric
\[\frac{10*20}{.81}=\frac{10*20}{\frac{81}{100}}\] Np!
anonymous
  • anonymous
:)
theEric
  • theEric
Just in case... From there, it's \[\frac{10*20*100}{81}=\frac{20000}{81}=246\frac{74}{81}\]
anonymous
  • anonymous
Yep, that works good or at least it looks better. I figured I could write the equation as (p)x0.81≥200. I'm still working it to see if it will work.
theEric
  • theEric
That's great, and it was the other way I would think of the equation to solve!
theEric
  • theEric
And you don't have to change the sign because 0.81 is not negative.|dw:1351404148861:dw|
theEric
  • theEric
All other operations keep the inequality the same direction. Adding (positive number) to both sides: Each side gets the same bump up Subtracting (positive number) from bothe sides: Each side gets the same cut down Multiplying (number greater than 1) to both sides: Each side gets larger proportional to its size Dividing both sides by (number greater than one): Each side gets smaller proportional to its size
theEric
  • theEric
I threw in number specifications, just because adding a negative is like subtracting a positve. Then each side gets cut down the same. Same for multiplication/division. Multiplying by a fraction less than one is like dividing by that fraction's reciprocal\[x*\frac{1}{2}=x\div 2\]and so each side gets proportionally smaller. Just some extra, if you wanna think about it. Take care! It was nice working with you!

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