is the following inequality always, sometimes or never true? 2(8x-4)-2x<14x+12 please answer :)

- anonymous

is the following inequality always, sometimes or never true? 2(8x-4)-2x<14x+12 please answer :)

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- anonymous

So we have
\[2(8x-4)-2x\lt14x+12\]
We need to isolate for x

- anonymous

So you can expand it to:
\[16x-8-2x\lt14x+12\]
So now you need to group like terms. So \(x\)'s with \(x\)'s and numbers with numbers. What do you get?

- anonymous

idk help

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## More answers

- anonymous

Well it works like this:
\[14x-8\lt14x+12\]
\[14x-14x\lt12+8\]
\[0(x)\lt20\]
\[x\lt\frac{20}{0}\]
Since the only value is not valid, the inequality is false.

- Candy13106

hey keith

- Candy13106

can u plz help me

- Candy13106

im kandy44 and magie22 but it got of conection so now im cany

- anonymous

so never true, sometimes or always?

- Candy13106

true

- anonymous

are u sure

- Candy13106

yup dont worry
wat grade do u go to

- anonymous

keith please answer me

- anonymous

Yes it is true.

- Candy13106

hes typing

- Candy13106

c i told u im a straight a student so dont worry

- anonymous

always true or sometimes Keith?

- Candy13106

always true

- anonymous

thank you

- anonymous

ALWAYS True @gowingspans1234 Because you have the following inequality:
\[14x-8\lt14x+12\] And so therefore since both sides have the same slope, this is true for any x value

- Candy13106

yup no problem i did half c i told u

- Candy13106

keith is u going to help me

- anonymous

i got one more question..

- Candy13106

ok go ahead

- anonymous

The sides of a triangle are in the ratio 3: 4: 5. What is the length of each side if the perimeter of the triangle is 90cm?

- Candy13106

ok i know how to do that give me a minute

- anonymous

ok

- Candy13106

ok first step ..................

- Candy13106

|dw:1378427004766:dw|

- anonymous

ok

- anonymous

keep going till the ansewer i will follow along

- Candy13106

ok well do u know how to do that or do u not understand that

- anonymous

i understand

- anonymous

The answer is:
Let is denote each side of the triangle. One side has a length of \(a\), the other has a length of \(b\) and the last has a lenth of \(c\) so therefore the perimeter is 90:
\[a+b+c=90\]
Good so far?

- anonymous

yep

- Candy13106

wait wait wait

- Candy13106

i was help him right

- Candy13106

so

- Candy13106

wats takeing yall so long

- Candy13106

hurry plz

- anonymous

answer choices A: 22.5, 30, 37.5cm B: 19.3, 25.7, 32.1 C: 7.5, 11.5, 32.1 D: 10.5, 11.5, 12.5

- Candy13106

ok the answer is d

- anonymous

So let us relate \(a\), \(b\), and \(c\) with an arbitrary variable, \(x\) We can come to the conclusion that according to the ratio:
\(a=3x\)
\(b=4x\)
\(c=5x\)
and so we have the equation:
\[3x+4x+5x=90\]
or
\[12x=90\]
and so therefore:
\[x=\frac{90}{12}=\frac{30}{4}=\frac{15}{2}=7.5\]
We can use this to find the sides:
\(a=3x=3(7.5)=22.5\)
\(b=4x=4(7.5)=30\)
\(c=5x=5(7.5)=37.5\)

- Candy13106

im right
i lerarned this last week

- anonymous

I need the answer before i go to bed, you guys have been so much help I marked yall as my fans

- anonymous

The correct answer is A. After all, the perimeter of a triangle with sides of a b, and c are:
\[P=a+b+c=22.5+30+37.5=90\]
That was the original info right?

- Candy13106

well the answer is d

- anonymous

is it d or c? haha I can't get it wrong

- anonymous

Its A.

- Candy13106

its d beacuse when there r 3 numbers ur supposed to do wat i had showed above before he intuopeted

- Candy13106

and ive leared it last week

- anonymous

wow idk which one to choose

- Candy13106

its d plz u want good grades do u well go with me cause i learened last week and me straight a student like ive said before

- anonymous

Let me put it to you this way. Lets say A was right. then the sides would have to add to ninety and the ratio would need to be \(3:4:5\):
Well, \(22.5+30+37.5=90\) and \(22.5:30:37.5=3:4:5\).

- Candy13106

ok so hurry and clse this and put d for the answer

- anonymous

well u can't really trust people on here so Idk yet

- anonymous

Don't trust people. Trust logic.

- anonymous

If there was something wrong with mine, tell me.

- Candy13106

well trust me beacuse me gud memory and ive learened it just last week

- anonymous

are u on connection academy too?

- Candy13106

wats that

- anonymous

Whats connection academy?

- Candy13106

yea idk too

- anonymous

nevermind i'm just trying to figure out if it;s A or D hahaha

- Candy13106

dddddddddddddddddddddddddd

- anonymous

ok

- anonymous

No.

- Candy13106

thats it beacuse he said that he guesses on questions that he does not now

- anonymous

d was right

- Candy13106

yep it is

- anonymous

It cant be D because:
\[10.5+11.5+12.5=34.5\] And the triangle does not have a perimeter of 34.5

- anonymous

lmao

- Candy13106

close the dang question cause im right

- anonymous

No honestly. I don't understand what is wrong with A...and I see everything wrong with D...

- Candy13106

lamo aint a word but lam is

- Candy13106

ok ill prve it

- Candy13106

hold on

- anonymous

hurry up

- anonymous

Prove it. Now youre talking my language.

- Candy13106

ok i will i will

- anonymous

D doesn't even have a ratio of \(3:4:5\)

- Candy13106

|dw:1378428305251:dw|

- Candy13106

and the longer line means to divide

- Candy13106

than

- anonymous

Alright so?

- anonymous

hurry up and yall agree on a answer so I can go to bed

- Candy13106

|dw:1378428398135:dw|

- anonymous

So...

- Candy13106

and than ......................

- anonymous

Keith how old are you?

- anonymous

16. Going into grade 12. Already with a thorough understanding of Calculus. Why?

- Candy13106

there fore 3 over 4 divide by 5 = 0.15 there fore make it into a fraction

- anonymous

you guys agree on a answer please

- Candy13106

and than u answer it make 0.15 into a fraction

- anonymous

So that's \(\frac{3}{20}\).

- Candy13106

and if u dont know do 15 over 100

- anonymous

Im not sure I see where this is going...

- Candy13106

and than do other work

- anonymous

PICK A ANSWER !!!!

- anonymous

Oh my god: \(A\)!!!

- Candy13106

d thats all gud night

- anonymous

omg

- Candy13106

keith just lay off and go with me

- anonymous

ok

- anonymous

goodnight

- Candy13106

come on man u told me that u guess at answers keith

- Candy13106

gud night and its d

- anonymous

Yeah. Choose whichever one. Logic has lost. I never guess. I included a full solution. What more do you want?!

- Candy13106

u said that in the measage but oh well cause were both smart

- Candy13106

right

- Candy13106

ok so keith can u plz help me on other questions

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