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3 flavors  x  3 'delivery methods'  = 9 choices

Kaden and John had 108 marbles altogether. Kaden gave away 1/2 as many marbles as what John gave away. The number of marbles John had left was the same as the number of marbles he had given away. If John had 1/2 as many marbles left as Kaden, how many marbles did John have at first?

A standard deck has 26 red cards   PLUS  2 black jacks   2 black queens and 2 black kings

       32 cards out of 52 cards   ===   32/52      <======   you can simplify from here

w = wings                   caloric value = 80w   

s = sliders = 2w          caloric value = 300 ( 2w)  

     summed , the caloric values = 1360

80 w   + 300 (2w) = 1360

  680w = 1360

        w = 2                      you can now find the number of sliders = 2w

Just like our hometown, Earth, when the arrow hits the ground, h = 0

so solve   0 = - 5.57t^2 + 50t + 2.3     for 't' using the Quadratic Formula

                                                               throw out the negative 't' value (- .04577)   ....the answer is the + t value

N  /  H     =   1 / 3   ⇒    N  =  (1/3)  H      (1)

(N + 4)   / ( H + 3)  =   1/2       (2)

Sub  (1)   into  (2)

(1/3)H  + 4             1

_________   =    ____           cross-multiply

    H  +  3               2

2  [ (1/3)H  + 4  ]  =  H  +  3

(2/3)H   +  8   =  H  +  3

8 - 3   =  H  - (2/3) H

5   =  ( 1/3)H

3 *  5    =    H   =  15  =  what  Hannah  started  with

H  +  3   =   18   =   what Hannah  ended with

b = large box                         volume = 24 b    

s = small box =    24 - b         volume = 9 ( 24-b)

    Summed the volumes = 441 ft³

24 b     +    9 ( 24-b)     = 441     

     now you should be able to solve for b, the number of large boxes, then small boxes = 24 - b

Yahhhh........!    LOL

point slope form would just  be

( y-8) =  - 2 ( x-5)

How  do  Bryan  and  Harold   figure into  this   ????

x + 4 : 3x + 3 = 1 : 2

x = 5

Hannah had 18 apples

origianlly nicole had 1 /(1+3) = 1/4 th   and hannah had  3/4 ths

then n added 4    and   h added 3       to cause   n to have  1/3   and h to have  2/3

1/4 x = n

1/4 x + 4  = 1/3 ( x + 4 + 3)

x = original amount of apples = 20        then hannah (at the end)  had   3/4 th 0f 20 PLUS 3 = 18 apples

We   only  need  to  add  the  4th power terms   = 

x^4  +  2x^4   =

3x^4  =   4th  degree

The smallest possible value of a_1 is 1/10.

By De Moivre's Theorem, z^10 + z^(-10) = 2.

Compute the  inverse of 999  modulo 1000. Express your answer as an integer from 0 to 999.

999*-1 = 1000*-1+1

So the inverse is -1

but you want an integer from 0 to 999 so

1000-1 = 999

the inverse of 999 mod 1000 is 999 

check

999*999=998001 = 1 (mod1000)

'asap' means you are being demanding and slightly rude.

We are here to teach, not to give you instant answers so that you can cheat and/or go off and do whatever else you want to do.

How do I react when I see 'asap', or 'it is an emergency' etc    ??

I delay any answer I may ever give.  Your question is no more important than anyone else's.

In fact, if a member, who has made a good impression, asks a question, it has far greater importance than yours. 

Do you understand what mworkhard has presented so far?  I will assume so ....

2(L+W) = 23 (1)

(L+2)(W+2)=58.5  (2)

LW+2(W+L)+4=58.5

sub in (1)

LW+23+4=58.5

LW+27=58.5

LW=31.5

L=31.5/W

sub into (1) to find W

2(L+W) = 23 (1)

\(2(\frac{31.5}{W}+W) = 23 \\ \text{mult both sides by W}\\ 2W(\frac{31.5}{W}+W) = 23W \\ 63+2W^2=23W\\ 2w^2-23w+63=0\\ w=\frac{23\pm\sqrt{529-504}}{4}\\ w=\frac{23\pm\sqrt{25}}{4}\\ w=\frac{23\pm5}{4}\\ w=4.5\;or\; 7\)

Length = 7  width =4.5 inches

OK...STOP re-posting this question with slight changes    !!

See here for solution:

https://web2.0calc.com/questions/applying-the-quadratic-formula-to-a-word-problem

Geez !

Did you post the other incorrect version of this ????????

d = 60    find s

60 = -.0056s^2 + .-14s

-.0056s^2 + .14s - 60 = 0     Quadrtaic Formula yields    s =    still yields imaginary numbers

      if you drop the negative sign in front of the s^2  you will get   s = 91.76 km/hr      

          ( the other incorrect posting of this question had  - .0065 s^2     this one (also incorrect) has - .0056s^2    )

yes

Data set A   1 444 6     median = 4   mode = 4   average = 4.6    range   1-6

Data set B   1 333 50   median = 3   mode = 3    average = 12    range = 1-50