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Mathematics 13 Online
OpenStudy (boldjon):

PLEASE HELP!!!!!PLEASE HELP!!!!!PLEASE HELP!!!!!PLEASE HELP!!!!!PLEASE HELP!!!!!PLEASE HELP!!!!!PLEASE HELP!!!!!PLEASE HELP!!!!!PLEASE HELP!!!!!PLEASE HELP!!!!!PLEASE HELP!!!!!PLEASE HELP!!!!!PLEASE HELP!!!!!PLEASE HELP!!!!!PLEASE HELP!!!!!PLEASE HELP!!!!!PLEASE HELP!!!!!PLEASE HELP!!!!!PLEASE HELP!!!!!PLEASE HELP!!!!!PLEASE HELP!!!!!PLEASE HELP!!!!!PLEASE HELP!!!!!PLEASE HELP!!!!!PLEASE HELP!!!!!PLEASE HELP!!!!!PLEASE HELP!!!!!PLEASE HELP!!!!!PLEASE HELP!!!!!PLEASE HELP!!!!!PLEASE HELP!!!!!PLEASE HELP!!!!! https://www.dropbox.com/s/7uqv623czzo77bb/Screenshot%202016-01-16%2022.45.53.png?dl=0

candycove (candycove):

Well dang

OpenStudy (boldjon):

hey candy man, can u help

OpenStudy (boldjon):

wbu safa?

OpenStudy (safa102):

u seriously need help with this!

OpenStudy (safa102):

i'll try!

OpenStudy (neonumbrella5115):

It is not necessary to post Please Help 37 times. You will receive help! :)

candycove (candycove):

Stop calling me 'candy man.' It's getting annoying -_-

OpenStudy (boldjon):

sorry bro

OpenStudy (safa102):

it has to be A, i think cuz in the beginning it said 450 is the product and the only one that has the answer of 450 is A

OpenStudy (boldjon):

really? ಠ_ಠ

OpenStudy (safa102):

what?

OpenStudy (boldjon):

u sure it's a

OpenStudy (mathmale):

Would you please stop guessing at the answer and do some serious work towards finding it through algebra.

OpenStudy (safa102):

and it says the first number is half the second number A follows the steps it has 1/2 in it!!!! yes i'm sure its A sorry if i'm wrong :(

Zeronknight (zeronknight):

Please post your question instead of posting Help so many times. You will get help, just be patient! :)

OpenStudy (safa102):

mathmale...chill!

OpenStudy (boldjon):

i'm sure she know what she's dong @mathmale

OpenStudy (safa102):

ikr!

OpenStudy (boldjon):

chill

OpenStudy (safa102):

lol :)

OpenStudy (boldjon):

anyway...do u know how to do it @mathmale ?

Zeronknight (zeronknight):

Don't give out direct answers, thank you! It is a violation against the rules of OS, we have a policy. "Give help, not answers." Do not continue to do this, thanks! :)

OpenStudy (safa102):

k sorry!

OpenStudy (boldjon):

wow, in the end,ur just giving out warnings, can u please help me on this instead of listing to the code of conduct

OpenStudy (boldjon):

please?

OpenStudy (mathmale):

Choose two letters to represent the two (separate) numbers. Do that now, please.

OpenStudy (safa102):

lol

OpenStudy (boldjon):

do u mean using x?

OpenStudy (boldjon):

wouldn't it be a cuz it says half of two numbers?

OpenStudy (boldjon):

and a is 1/2

OpenStudy (mathmale):

this is algebra, and algebra is based heavily on using symbols to represent unknowns. Yes, I do mean "using x." Kindly pick one more letter to represent the other unknown.

OpenStudy (mathmale):

so, one of your two numbers is represented by x. What letter will you choose to represent the other number?

OpenStudy (boldjon):

1/2?

OpenStudy (mathmale):

that's not a letter, jon. I asked y ou to pick a letter to represent the 2nd of the 2 unknown numbers.

OpenStudy (mathmale):

So the first number is repres. by x and the second by .... what?

OpenStudy (boldjon):

oh what about S

OpenStudy (mathmale):

that's not a letter, jon. I asked y ou to pick a letter to represent the 2nd of the 2 unknown numbers.

OpenStudy (mathmale):

In algebra we choose letters to represent unknown quantities. In this problem you have to find the values of 2 numbers. The first one will be represented by x. The second will be represented by ... what letter ... ?

OpenStudy (boldjon):

x^2

OpenStudy (boldjon):

or do u mean to just choose a letter, what why i said s

OpenStudy (mathmale):

OK, sorry. On my screen your " s " looked like a " 5 " So, our two numbers are represented by x and s. Fine. How would you write the product of x and s?

OpenStudy (mathmale):

Note that the problem statement says that the product of x and s is 450. Write that as an equation. you must use x and s. No words.

OpenStudy (boldjon):

\[X*S=420\]

OpenStudy (mathmale):

actually, jon, it's 450, not 420. x*s = 450. So, we're half done! Now read the problem again. What does the next sentence say?

OpenStudy (boldjon):

oh sorry, um it says the first number is half the second number.

OpenStudy (mathmale):

Yes. let x be the first number and let s be the second number. Express "the first number is half the second number." symbolically, using x and s, no words.

OpenStudy (boldjon):

so um 1/2s*s

OpenStudy (mathmale):

which is larger, the x or the s? Be sure you know why.

OpenStudy (boldjon):

x cuz it's the second number

OpenStudy (mathmale):

The problem states that the first number (x) is half the second number (s). Try again....translate that into symbols; write the equation that shows this relationship.

OpenStudy (boldjon):

1/2x*x

OpenStudy (boldjon):

ohhh so 1/2x^2

OpenStudy (mathmale):

But, jon, that's not an equation. The problem says, "the first number is half the second number." That translates into x = s/2 (which IS an equation). I keep hinting to you that you need to write an equation. 1/2x^2 is not an equation, is it?

OpenStudy (boldjon):

s/2*x

OpenStudy (boldjon):

?

OpenStudy (boldjon):

but wouldn't it be s/2*s cuz it's the half of the secound number

OpenStudy (mathmale):

again, jon, s/2*x is not an equation. You must (MUST) write an equation; the equation MUST involve the = symbol. x is smaller than s, so x=s/2 makes sense. Is that an equation or is it not?

OpenStudy (boldjon):

yeah it looks like an equation

OpenStudy (boldjon):

but i don't get the term of s though

OpenStudy (boldjon):

the answer choices are 225x^2 = 0 x^2 = 450 450x^2 = 0

OpenStudy (mathmale):

It is an equation, jon. So, now you you have 2 equations. First, the product of 2 numbers x and s is 450, so your equation is x*s = 450. Secondly, the first number (x) is half the second number (s), so x=s/2, or \[x=\frac{ s }{ 2 }\]

OpenStudy (mathmale):

any questions about this, so far?

OpenStudy (boldjon):

no, i get it so far

OpenStudy (boldjon):

so now that x=s/2 would we need to divide 450 to get 225? cuz 225*2=450

OpenStudy (mathmale):

so, boldjon, we need to solve our set of equations for the values (numeric values) of x and s. (x )(s ) = 450, and x=s/2. please throw out the "x" within the parentheses ( ) and replace it with s/2. This is called "substitution."

OpenStudy (mathmale):

I'd prefer to do one thing at a time. If you rreplace the "x" inside the parentheses, above, with s/2, you get (s/2)(s)=450. does that seem correct to you"

OpenStudy (mathmale):

To be as clear as possible, I mean the following:\[\frac{ s }{ 2 }(s)=450\]

OpenStudy (boldjon):

yeah i see what ur trying to do, so yeah it looks correct to me

OpenStudy (mathmale):

Good. then, we have:\[\frac{ s^2 }{ 2 }=450\]

OpenStudy (mathmale):

\[\frac{ s^2 }{ 2 }=450\]

OpenStudy (mathmale):

How would we get rid of the fraction (with 2 in the denominator)?

OpenStudy (mathmale):

If you know how, do it.

OpenStudy (boldjon):

substract from both side?

OpenStudy (mathmale):

\[\frac{ s^2 }{ 2 }=450\]... does not involve addition or subtraction, so, no.

OpenStudy (mathmale):

Multiply both sides by 2 and see where that takes you.

OpenStudy (boldjon):

um .... i did 450*2 and i got 900

OpenStudy (mathmale):

If you multiply \[\frac{ s^2 }{ 2 }\] ... by 2, the 2 in the numerator cancels out the 2 in the denominator.

OpenStudy (mathmale):

that's correct. So, on the left side, you have s^2, and on the right side you have 900.

OpenStudy (mathmale):

Can you solve this equation for s?\[s ^{2}=900\]

OpenStudy (boldjon):

30

OpenStudy (mathmale):

that's right. You've found the "square root of 900," and that is, indeed, 30.

OpenStudy (boldjon):

so a seems like the answer

OpenStudy (mathmale):

Hold your horses (as my father used to tell me all the time). s=30. "x is half of s." find x.

OpenStudy (boldjon):

15

OpenStudy (mathmale):

Right. So, your answer SET is {15, 30}. Off the hook yet? No. Sorry. You have to check your answers. Please multiply 15 by 30.

OpenStudy (boldjon):

450, wow

OpenStudy (boldjon):

well thanks

OpenStudy (mathmale):

Isn't that what the problem statement said? "The product of 2 numbers is 450."

OpenStudy (boldjon):

well the equation u used was the answer

OpenStudy (mathmale):

So now you can choose the correct answer without saying, "I think it's b." ;)

OpenStudy (mathmale):

Yes, you have chosen the correct answer. I won't say "It's A" because I hate that phrase. ;)

OpenStudy (mathmale):

I demand reasons, good reasoning, showing of one's work, and so on. Thanks for sticking with me through this long discussion. Take care, boldjon.

OpenStudy (boldjon):

guess what would have happend if i had put B

OpenStudy (boldjon):

lol thanks for the explanation though

OpenStudy (mathmale):

You'd have to go outdoors and rub your nose in the mud.

OpenStudy (boldjon):

probably

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