8 5/8 and 10 2/3

- ghazi

8 5/8 and 10 2/3

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- ghazi

\[8\frac{ 5 }{ 8 }= \frac{ 8*8+5 }{ 8 }=\frac{ 64+5 }{ 8 }=\frac{ 69 }{ 8 }\] @vikayefremova

- ghazi

\[10 \frac{ 2 }{ 3 }= \frac{ 10*3+2 }{ 3 }=\frac{ 30+2 }{ 3 }=\frac{ 32 }{ 3 }\]

- ghazi

now area = length * width \[\frac{ 69 }{ 8 }*\frac{ 32 }{ 3 }= \frac{ 69 }{ 3 }*\frac{ 32 }{ 8 }=23*4=92\] ft square ...clear ??

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## More answers

- anonymous

yes that is clear, thank you :)

- ghazi

|dw:1348344838506:dw|

- ghazi

:) you're welcome

- ghazi

@vikayefremova over here..that was too long lol ...let's begin here

- anonymous

hehe.. okay :D

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- ghazi

hey we have already done this...you need to add powers ...bases are same

- ghazi

\[8*8^8=8^{8+1}=8^9\]

- anonymous

hmm.. i dont know why same questions appear in different assignments :/ this is weird

- ghazi

no ..how could you forget the solution...this is weird ..lol

- anonymous

oh :D well i didnt forget exactly.. you are just giving me answers im gonna look over this though :P

- ghazi

okay...next?

- ghazi

i have explained steps too :(

- anonymous

yes i know :D

- anonymous

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- ghazi

\[(X^a)^b=X^{a*b}......(9^{-8})^9=9^{-8*9}\]

- ghazi

clear?

- anonymous

yes :D

- ghazi

next?

- anonymous

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- ghazi

you can do it

- anonymous

it's like the last question right?

- ghazi

oh sorry yes

- anonymous

okay :)

- ghazi

what is it? what you got?

- anonymous

umm..

- ghazi

lol

- anonymous

38?

- ghazi

\[(m)^{19*2}=m^{38}\]

- ghazi

correct

- anonymous

okay.. thanks :)

- anonymous

fine, im gonna feel stupid again :(

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- ghazi

add the powers , please :)

- anonymous

okay.. wait a sec :P

- ghazi

\[3^{2+3+5}\] what you got?

- anonymous

i got 59049 ?on the calculator, it would be like this right.. 9*27*243?

- ghazi

that's correct but you have to write it as \[3^{10}\] okay?

- ghazi

just add the exponents

- anonymous

okay :)

- ghazi

next?

- anonymous

its okay, im done :(

- ghazi

no, you are not

- anonymous

yess.. i really am :P

- ghazi

@vikayefremova is it n^3*n^4

- ghazi

\[n^3*n^4\] ??

- ghazi

if yes...the just add the powers...bases are same

- ghazi

\[n^{3+4}\] clear?

- anonymous

okay :)

- anonymous

i thought it was multiply :P

- ghazi

no for multiplication it should be like this \[(n^3)^4=n^{3*4}=n^{12}\]..okay?

- anonymous

okay :D

- ghazi

next? :D

- anonymous

really? :P

- ghazi

wait a sec

- anonymous

sure

- ghazi

:)

- anonymous

hello :)

- ghazi

yea yea...lol..next ? :D

- anonymous

?

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- ghazi

anything to the power zero =1

- anonymous

so it's just 1 ?? :/

- ghazi

yes

- anonymous

ohh.. :/

- ghazi

\[(10^{4})^0=(10)^{4*0}=10^0=1\] clear?

- anonymous

yes, thank you :)

- ghazi

next

- anonymous

|dw:1348746024258:dw| :/ i guess i should just divide

- ghazi

subtract the powers...cuz it is division

- anonymous

oh.. darn it! i got it wrong, againnnn :'(

- ghazi

\[\frac{ t^9 }{ t^7 }=t^{9-7}\]

- anonymous

thanks :)

- ghazi

next

- anonymous

|dw:1348746239915:dw|

- ghazi

again do the same 10^(9-5)

- anonymous

okay

- ghazi

see it is general formula for this \[\frac{ X^a }{ X^b }=X^{a-b}\] clear?

- ghazi

a and b are powers

- anonymous

okay :D well i'm done now :)

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- anonymous

thank you! :)

- ghazi

was it containing 8 questions only?

- anonymous

yes this is a different one.. i told you i am done with the previous one :P

- ghazi

oh..that's great...so next assignment please :D

- anonymous

they are all just math problems.. like these ones :P that we just did

- ghazi

cool...

- ghazi

??

- anonymous

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- ghazi

\[5.3*10^{-3}\] we have done it before ...haven't we?

- anonymous

nope.. i dont think so :/

- ghazi

yes we have done..it,, well next ?

- ghazi

??

- anonymous

|dw:1348749125210:dw|is there like a formula to help solve this? for scientific notation? theres a lot of problems like this, i just need to know the formula.. like for this one

- ghazi

\[1.72*10^4=17200.00=17200\]

- anonymous

oh so.. all i have to do is multiply?

- ghazi

see you need to put number of zeroes after digits and the total number of zeroes will be that which is given in power....so 1720000 ...now decimal is placed before 2 digits so put it before two zeroes 17200.00=17200

- ghazi

you have to multiply that's it

- ghazi

and general formula for multiplication in power is \[10^n= 100000000.........n\] n number of zeroes in front of 10

- ghazi

clear?

- anonymous

ohh .. yes clear :)

- ghazi

next?

- anonymous

what if the number is negative?

- ghazi

then but it this way one less zero in front of the digit \[10^{-3}=0.001\] okay?

- ghazi

\[10^{-n}=0.000000(n-1) 1\] one less zero in front of the digit but after decimal

- ghazi

??

- anonymous

|dw:1348749696581:dw|

- ghazi

wow!! correct ..you got it

- anonymous

okay :)

- ghazi

next?

- anonymous

but i am still confused on the last one.. what was the answer for that?? 17200?

- ghazi

see it's 1.72*10^(4)=1.72*10000= 1720000 then put decimal before two digits from the right it will be 17200.00

- anonymous

but thats not one of the options :( is it suppose to be written as 17,200?

- ghazi

okay you can write it as 17,200 zeroes after decimal is of no use 17200.00=17200=17,200

- anonymous

okay good.. :D

- ghazi

yea thank you

- anonymous

hehe.. noo, Thank You! :D

- ghazi

:) YW

- ghazi

@vikayefremova

- ghazi

question? :)

- anonymous

this question seems kinda easy but i dont get it :/ solve: 3t =9

- ghazi

\[3t=9\] now divide both sides by 3\[\frac{ 3t }{ 3 }=\frac{ 9 }{ 3 }\] what you got?

- ghazi

|dw:1350086413223:dw|

- ghazi

clear?

- anonymous

oh...right, that was simple :P yess clear :)

- ghazi

next ;)

- anonymous

Solve: -15 = 3b. ?

- ghazi

again divide both sides by 3

- anonymous

divide both sides?

- anonymous

oh

- anonymous

okay :)

- ghazi

\[\frac{ -15 }{ 3}=\frac{ 3b }{ 3 }\]

- anonymous

do you divide -15 by 3 and 3 by 3? :/

- ghazi

yes, dividing on both sides means, dividing -15 by 3 and 3 on the right side by 3

- anonymous

alright, well thanks :)

- anonymous

|dw:1350086785430:dw|

- ghazi

multiply both sides by -4

- ghazi

|dw:1350086866918:dw|

- anonymous

28 ?

- ghazi

what you got?

- ghazi

wow

- ghazi

that's correct

- anonymous

thanks :)

- anonymous

. A roller coaster descends a hill at a rate of 80 feet per second. The bottom of the hill is 400 feet from the top. How long will it take the coaster rides to reach the bottom?

- ghazi

see it covers 80 feet in a second
so 80 feet ---- in 1 sec
1 feet in ----1/80 seconds
therefore 400 feet in -----\[\frac{ 1 }{ 80 }*400=....\]

- ghazi

clear?

- anonymous

yep, clear thank you

- ghazi

n--e--x--t

- anonymous

1. Solve the equation below for y:
y - 10.24 = 5.3

- ghazi

add 10.24 on both the sides

- ghazi

\[y-10.24+10.24=5.3+10.24\] what you got?

- anonymous

15.4? or 24

- ghazi

how come 24 :( ? it's just 10.24+5.3=15.54

- anonymous

i told you im bad at math :(

- ghazi

it's cool :) next

- anonymous

|dw:1350087946973:dw|

- ghazi

i think we have done this kinda problem before ....but let's have a look again

- ghazi

\[4\frac{ 1 }{ 2 }=\frac{ 4*2+1 }{ 2 }=(8+1)/2=\frac{ 9 }{ 2 }\]

- ghazi

clear?

- ghazi

solve for 3 3/8 now

- ghazi

\[a \frac{ b }{ c }=\frac{ a*c+b }{ c }\]

- anonymous

okay let me try :P

- ghazi

are you done?

- anonymous

nope :P

- ghazi

what are you fighting with

- anonymous

i am stuck on this question :(

- ghazi

\[3\frac{ 3 }{ 8 }=\frac{ 3*8+3 }{ 8 }=\frac{ 24+3 }{ 8 }=\frac{ 27 }{ 8 }\] clear?

- anonymous

yeah i got that, but what do you do then? add both answers? cuz there are two problems

- ghazi

no, now see the next step

- anonymous

okay :)

- ghazi

your question looks like \[\frac{ 9 }{ 2 }=h-\frac{ 27 }{ 8 }\]add 27/8 on both sides \[\frac{ 9 }{ 2 }+\frac{ 27 }{ 8 }=h-\frac{ 27 }{ 8 }+\frac{ 27 }{ 8 }\] now what you got ?

- ghazi

?

- anonymous

ughhh.. :P

- ghazi

lol

- anonymous

wait a sec

- anonymous

;)

- ghazi

\[h=\frac{ 9 }{ 2 }+\frac{ 27 }{ 8 }\]

- anonymous

I am sooooo confused!!

- anonymous

help me :(

- ghazi

see -x+x=0 ...similarly (-27/8)+(27/8)=0 clear?

- anonymous

is this correct?

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- ghazi

see, \[h=\frac{ 9 }{ 2 }+\frac{ 27 }{ 8 }=\frac{ 9*4+27 }{ 8 }=\frac{ 36+27 }{ 8 }=\frac{ 63 }{ 8 }\]

- ghazi

now, if you look at option A which is 7 7/8 \[7\frac{ 7 }{ 8 }=\frac{ 7*8+7 }{ 8 }=63/8\]

- ghazi

so it's A

- anonymous

ohhh yeah, wow that was kinda hard.. but thanks :)

- ghazi

ha a ha haa ha aa aahahahahahahahhaaaa

- anonymous

:P

- anonymous

this is embarrasing :( i feel stupid

- ghazi

no, you should be proud , you learned something :) feel good

- anonymous

thanks :)

- ghazi

next?

- anonymous

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- ghazi

let's say number is X now subtract 3.4 which means
X-3.4=-14.2
x-3.4+3.4= -14.2+3.4
x= ?

- anonymous

17.6 or 18?

- ghazi

-10.8 :(

- ghazi

you have to subtract 3.4 from 14.2

- anonymous

i thought you said to add sorry :(

- ghazi

for what lol?

- anonymous

for being stupid :P

- ghazi

oh come on ... next question ?

- anonymous

3. After a morning rain there was 3/4 inches of rain in the rain gauge. It rained again and two hours later the rain gauge showed 2 1/3 inches of rain. Write an equation to show how much rain fell in those two hours. Let r represent the amount of rain that fell.

- anonymous

A. r - 3/4 = 2 1/3
B. 3/4 + r = 2 1/3
C. 2 1/3 + 3/4 = r
D. r + 2 = 2 1/3

- ghazi

hmm

- anonymous

B?

- ghazi

well total reading should be like 3/4+r=2 1/3

- anonymous

is it right? :D

- ghazi

of course

- anonymous

thanks :)

- ghazi

again :(

- anonymous

haha yes, again and again :D

- ghazi

okay next?

- anonymous

Solve: x - 23.3 = 17.8

- ghazi

add 23.3 on both the sides

- anonymous

41.1 ?

- ghazi

x-23.3+23.3=17.8+23.3

- ghazi

correct

- anonymous

thanks :D

- ghazi

huh :/

- anonymous

hehe :D

- ghazi

next ;)

- ghazi

?

- anonymous

|dw:1350091704065:dw|

- ghazi

i think your question is incorrect

- anonymous

yes it is.. i just dont know how to type it here, thats why i have to draw it :/ that is how you write it

- ghazi

is it \[9y=\frac{ 3 }{ 5 }\]?

- anonymous

yes thats it :D

- ghazi

so why to add...just divide both sides by 9

- anonymous

ohh divide? :P

- anonymous

thanks!!

- ghazi

what you got?

- anonymous

umm

- ghazi

umm ???????? lol

- ghazi

y=1/15

- anonymous

how did you get that? :/

- ghazi

|dw:1350092173572:dw| clear?

- anonymous

clear, mr. smartie pants :P lol

- ghazi

yea yea ....liar ;)

- anonymous

hehe :D well, i think we are done here :P

- ghazi

sure?

- anonymous

yes.. :(

- ghazi

next? not just one,....as much as you are left with ;) don't worry

- anonymous

okay sure.. umm...
Tamara can mow 2/5 acre in one hour. If her yard is 2 acres, how many hours will it take her to mow the entire yard?

- ghazi

2/5= 0.4 acre
so 0.4 acre ---- in 1 hour
1 acre --- in 1/0.4 hours
therefore 2 acres---- in \[\frac{ 1 }{ 0.4 }*2=5\]

- anonymous

okay well, thanks for all your help :) thats it

- ghazi

i know you're lying

- anonymous

haha lol how did you know? :D

- anonymous

seriously, that was the last question :P

- ghazi

because you are scrolling down the screen and there are a few more ....

- anonymous

well, just one more left :P

- ghazi

go ahead please

- anonymous

workers can paint 3/4 of a house in 1 day. How many days would it take them to paint 6 houses?

- ghazi

3/4= 0.75
so 0.75 house in 1 day
1 house in 1/0.75 days
therefore 6 houses in
\[\frac{ 1 }{ 0.75 }*6=8 days\]

- anonymous

alright thanks :)

- ghazi

fine

- ghazi

@vikayefremova

- anonymous

yes..? :D

- ghazi

is this your question?

- anonymous

nope :P

- ghazi

then post the question please

- anonymous

easy..?

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- ghazi

do you know what is the value of \[\sqrt{27}\]

- ghazi

see 5*5=25 so sqrt 27 must be around 5 but more than that....and 6*6=36 so sqrt 27 must be between 5 and 6 clear? @vikayefremova

- anonymous

alright thanks :)

- anonymous

same thing with this problem?

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- ghazi

\[-\sqrt{(456)}= -21.35\] so what does it look like?

- anonymous

D. ?

- ghazi

correct

- anonymous

what about this one?

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- ghazi

fencing states for perimeter of the boundary okay? so now
it's a square field so let's say length of side = X
therefore X*X=2000
x^2=2000
x=\[x=\sqrt{2000}=44.72\] and perimeter of square = 4*X=4*44.72=178.88 clear?

- ghazi

what does it look like now?

- anonymous

c. ?

- ghazi

impressive ...yes :)

- anonymous

thanks :D

- ghazi

;)

- anonymous

is this correct?

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- anonymous

because 2*250=500? right

- ghazi

wait i don't think so

- anonymous

really? why

- anonymous

whyyyy ?

- ghazi

why you thought it to be 2*250 ?

- anonymous

because in the last problem you multiplied 4 by some number and you got the answer.. i think thats what im suppose to do here.. but im confused :/

- ghazi

oh i multiplied by 4 because it was perimeter of square that is 4 * sides

- anonymous

ohh right! ... hmm , well what am i suppose to do here then?

- ghazi

i guess, it's kinda complex, because area of fringes is not given so i guess (side)^2=500
side=22.36 okay?

- ghazi

now 4*22.36=89.44 =90 i think this should be the right choice

- anonymous

so it's B.? i thought it was 22? which is A.? right..?

- ghazi

it's B as far as i know...but probably it could be A

- ghazi

clear ? lol

- anonymous

okay, well thats understandable.. thank you :)

- ghazi

okay

- anonymous

wanna see something kinda funny..? :D

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- ghazi

this is the same question

- anonymous

i know.. i got the wrong answer.. it wasnt A :P

- ghazi

why did you tick A oh gosh

- ghazi

i told you it's B

- ghazi

don't worry still it's good 7 outta 8 :)

- anonymous

haha its fine.. :) thanks for your help :)

- anonymous

thanks :)

- ghazi

for what?

- anonymous

thanks for helping me :)

- ghazi

oh my kudos

- anonymous

:)

- anonymous

do you know how to tell real numbers from rational numbers?

- ghazi

i think so , well every real number can be expressed as rational number let's say 'a' is a real number then in rational for it can be written as \[a=\frac{ a }{ 1 }\]

- ghazi

similarly, if you have to write some real number from rational number you can write it

- ghazi

??

- anonymous

okay, so then what is a irrational number?

- ghazi

numbers that can't be expressed in the form of simple fraction or any real number that can't be expressed as the ratio

- ghazi

also it cannot be represented as terminating or repeating decimals like 22/7

- ghazi

@vikayefremova clear?

- anonymous

i dont understand :/

- ghazi

let's say \[\frac{ 2 }{ 4 } and \frac{ 22 }{ 7 }\] now we can see that value of 2/4 =0.5 which ends and terminates at 0.5 after division but 22/7 = 3.14285.......it doesn't end at all so 22/7 is irrational and 2/4 is rational clear? irrational means which never terminates or never ends after numerous division

- anonymous

ohh okay :D i understand now :) thank you

- ghazi

cool ..

- anonymous

listen to this please :) ....this has nothing to do with maths by the way :P

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- ghazi

wait a sec :)

- anonymous

one more.. listen to this please :) i am sure you will like it ;)

- anonymous

haha :D

- ghazi

wait a sec

- anonymous

sure :)

- ghazi

i wish i could give you more medals :'(

- anonymous

hehe :)

- ghazi

yea yea :'(

- anonymous

and this is your favorite song, the one you'll be listening to for a while ;) haha :D

- ghazi

okay lets see ...wait let me listen ..sorry i couldn't see this ..you know why

- anonymous

why...?

- anonymous

hahaha im sure you love this song ;)

- ghazi

heeyyyyyy :) love you so much.....you are such a sweet heart <3

- ghazi

listen to this

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- ghazi

listen to this ...hope you will like it

- anonymous

hahaha :) who is this??

- ghazi

listen to it first ..it is the same the one you have posted :)

- anonymous

yes i know, i am listening to it now :) its funny :D

- ghazi

funny :(

- anonymous

never mind :(

- ghazi

yea yea :)

- anonymous

its nice.. :) that guy's voice sounds kinda funny.. but its cool :)

- ghazi

he is the same ..the one you have posted

- anonymous

really..?? i mean i know its the same song, but its not the same guy..is it?? he seems different

- ghazi

no they both are same..this song was first sung in a pub with two people listening to it...and then it was released on a broad scale ...and became on of my favorite ...because it has got something you know that :'(

- anonymous

oh thats nice, i didnt know that.. they just seem different :) thats all

- ghazi

hmm :)

- ghazi

??

- ghazi

@vikayefremova what is it?

- anonymous

|dw:1350869089158:dw|

- ghazi

wow !! wait a sec....

- anonymous

yep that is in russian :P sorry for my bad hand writing.. :P

- ghazi

it's amazing :) :) and extremely wonderful...but not more than the creator

- anonymous

thanks :P

- ghazi

<3 you

- anonymous

oh sure :) i love you too <3

- ghazi

:)

- anonymous

keep this up mates lol

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