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Very nice, asdf......I like that factoring "trick"

Let Naomi's age =  x

Then Mina's age is (3/4)x

And Lev's age = (3/8)x

So  the sum of the ages =     x + (3/4)x + (3/8) x  = (17/8)x

Then Naomi's age  must be divisible by 8

And it must be greater than 8 because 8 +(3/4)(8) + (3/8)(8)  =  8 + 6 + 3  =  only 17

So.....

Let Naomi's age =  16

Then Mna's age =  (3/4)(16) = 12

And Lev's age = (3/8)(16) = 6

So   16 + 12 + 6  =  34

So....Mina is 12

I just deleted a couple of expletives .   I didn't change the meaning in any way.

OAlso this is guests post and opinion only. It does not necessarily reflect any one elses view.

Need to find h    the height of the pyramid....then volume = lwh/3

the diagonal of the base (using Pythag Theorem)    sqrt(6^2 + 8^2)  = 10

    now the mid point of the diagonal  and h   form another right triangle with hypotenuse 13 (given)

        so use pythag theorem again to find h       h^2 + 5^2 = 13^2     yields  h = 12

Volume = lwh/3  = (6)(8)(12)/3 = 192 units^3

Thank you 

a²+b²=25

ab = 5

a/b + b/a = ?

So, getting rid of the denominator, (a/b + b/a) * ab = a²+b²

so a²+b² / ab = ?

25/5 = \(5\)

-\(S\)

Do you have to put “HOPE THIS HELPED!” in every post?

Every kid on here puts that on their answers.

We know you hope that, that’s why you answered the question.

THANK YOU SO MUCH

lets say x is year-2000. so you have (0, 10), (1, 26), (2, 70), (3, 144), (4, 247), and (5, 380).

to see if it is quadratic sequence, see if you can model it by y=ax^2+bx+c. obviously c=10, because of (0, 10), so now you have y=ax^2+bx+10.

next, a+b=16, by using (1, 26)

and finally, 4a+2b=60 by using (2, 70)

now you can find that a = 14 and b = 2, so you have the quadratic is y = 14x^2 + 2x + 10. this is a quadratic sequence, i am very confused....

you can still change it up and make a quadratic with huge coefficients by adding back the 2000 year i took away

for b), 

here is a graph of y = 14x^2 + 2x + 10: 

for c)

just find the first x when 14x^2 + 2x + 10 goes above 1000, and add 2000 to that.

first estimate and try 8.

14*64+16+10=840+56+16+10=896+16+10=922. super close, so try 9.

14*81 is already above 1000, so the first year is 2000+9 or 2009.

HOPE THIS HELPED!!!

by drawing a graph and using some inspection, you see that z is the midpoint of y and x, so the coordinates of x are (-3, -21), and the sum of coordinates is -24.

HOPE THIS HELPED!

the number of condies she has is ab+2a+b or also (5ab-5a-4b+4)/3. settings these equal you get 3ab+6a+3b=5ab-5a-4b+4 => 2ab-11a-7b+4=0.

using simon's favorite factoring trick, it becomes 2a(b-11/2)-7(b-11/2)=77/2 - 4

so (2a-7)(b-11/2)=69/2

doubling both sides you get (2a - 7)(2b - 11) = 69, and the factors of 69 are 1, 3, 23, and 69, which correspond to the pairs of a and b as (4, 40), (5, 17), (15, 7), and (38, 6). the values of the candies in her bag can be 208 or 142, because some cases will not work because of the (b-1)/3.

so the answer is 208.

HOPE THIS HELPED!

Thanks, that’s how many cod points I got for free

plug the values in, first term becomes 5, secound term becomes 2sqrt5/5 after rationilizing denominator, and fourth term is 4, and third is 0.2 so the answer is just 5+2sqrt5/5+1/5-4 or (6+2sqrt5)/5.

HOPE THIS HELPED!

2000000 cp / $50 

1004011999 cp / ( 2000000cp/$50)  = $ a lot  = $ 25100.30 

He starts week 1 with 40      each week he has 24.5 in obligations and is left with 15.5

each subsequent week   adds 35 and subtracts 24.5   for  a net of 10.5 increase at the end of the week

Week 2 end he will have 26

week 3 end  he will have 36.5      still not enough to buy $50 CD set

Week 4 end he will have 47          Getting close!

Week 5 end he will have 57.5      Made it !    At the beginning of week 5 he can buy his CD set and still cover his expenses for the rest of the week !

He will hve received 5    $35 allowances

LOL

you didn't copy it properly. The \t   that should have been in front of  "ext... "  is missing and that is why the sentence is not displying properly.

I look forward to you being an account holder :)

1) use binomial theorem, the first term must be to the 2, 2nd term to the 4th, to get those exponents, then you just do 6c4*(1/9)*16 which is 240/9 which is 80/3.

2) easy. just factor. and expand.

3) first choice. make values that make 2x+7=23.

HOPE THIS HELPED!

if lev's age is x and mina's age is 2x, then naomi's age is 8x/3.

1/(8/3) is 3/8.

answer is 3:8

HOPE THIS HELPED!

This too was answered in your previous post     l/n = 3/8

l/m = 1/2

m/n =3/4  

l/m * m/n = l/n = 1/2 * 3/4 = 3/8

L :M :N

3   ?   8         ? = 6   because L:m = 1/2

3:6:8

Set up a ratio

24 feet / 8inches  =  5 feet / ? inches      solve for  ? = 1 2/3 inches tall

Thanks asdf :)

Invertible.

I expect it means more than that.

It probably means every x has just one y  AND every y has just one x.

So that it is a function for all values of x and its inverse is also a function for all values of x.

I quickly looked it up. That seems to be what it means.