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I hope you like it. XD

Okay one second give me 5 minutes and I'll post my project on here for you! :)

Juice Wrld. I like his music better than XxxTentacion. Plus, Tentacion did a bunch of terrible stuff.

1. The graphs of these two equations intersect in how many points? 

x^2 + y^2 =25

x^2- y^2 =   3

Add these equations and we  get  that

2x^2  = 28           divide  through  by 2

x^2   = 14            take both roots

x = sqrt (14)     or  x  = -sqrt (14)

When  x  =  sqrt (14)  we  have

(sqrt 14)^2  + y^2  = 25

14 + y^2  =  25

y^2  =  25 - 14

y^2  =  11

y = sqrt (11)     or y = -sqrt (11)

So.......two points of intersection  are  (sqrt 14, sqrt 11)   and (  sqrt 14, - sqrt 11)

Due  to symmetry......the  graphs will  also intersect  at (-sqrt 14, sqrt 11)  and (-sqrt 14 , - sqrt 11)

So.....4 points of  intersection

See  the  graph here  :  https://www.desmos.com/calculator/ie0t00e5nl

Well that makes sense 

Sorry about the wrong answer ~Hannah

  4m  18s   =   4*60  + 18   =  258s

- 3m 47s  =     3*60  + 47   =  227s

                                             ____

                                                31 s   longer

2/5   did  not  wake...so...

20 (2/5)   =  40/5  =  8

See the following image

Let  FC  = x

BC =  7+ x

BE  =  7

AC = 24  + x

AD = 10

So....by similar  triangles  CBE  and CAD

CB/ BE  = CA/ AD

(7 + x)/ 7  =  (24 + x) / 10

10 (7 + x)  = 7(24 + x)

70  +  10x  =  168  + 7x

3x  =  168  -  70

x  =  98/3  = FC

So

BC  =  7  + 98/3   =   119/3

1 minute and 11 seconds

Hope it helps~Hannah

Nevermind I got it *~* tysm

???

I don't know triginometry yet

find 'x'  (using trig functions that you should know) =====>   the vertical dimension is 2 * x 

Start with 1 whole jar

   remove 1/2     then  1/2 is left

    removing  2/5 of the 1/2 leaves 3/5 of the 1/2

          3/5 * 1/2 = 3/10   now are left

    removing 2/3 leaves 1/3 of what is left

               1/3  * 3/10 = 3/30 of the original         and this is equal to  4           

                                                3/30 x = 4     x = 4 * 30 /3 = 40 cookies originally

I've found that the area of the hexagon is 150sqrt(3), but I don't know the height :(

Thank you!

1/2 - x^2 = 7/16     subtract 1/2 from both sides

- x² = -1/16

x² =1/16

x = +- 1/4

Bye ElectricPavlov~Hannah

Here is my start :

find the measure of the interior angles of the hexagon :    there is     (6-2)(180) = 720 degrees in the interior angles  

                     720 /6 = 120  degrees

   the horizintal dimension of the shaded area is 10  

find 'x'  =====>   the vertical dimension is 2 x                   can you do it now?

Just... forget about me. Bye~ Hannah

We can work backwards in this problem:

4=1/3 of what is left after Amy has been there, so there were 12 after Debbie took cookies.

12=3/5 of what is left after Debbie took the cookies, so there were 20 cookies after Patrick took some.

20=1/2 of the original amount of cookies in the jar before Patrick took them, so there were $\boxed{40}$ cookies in the jar to begin with.

 ~...~

gg but this is not correct sir
the answer is not 58 ...

Total ideas sent to Ned    13 x 11 = 143 ideas

Ideas about thinking were     1 - 1/4 - 1/2 = 1/4

1/4  143 = ~~ 36 ideas about thinking

And you still have not checked the question, XD

But here is the table ~ Hannnah

( 1 3/4  +  2 1/2 ) gal   x   ( $3.58 x 2) / gal  = .................dollars