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Three digit perfect  cubes = 

5^3  = 125

6^3 =  216 =  (6 * 6 * 6)  = (3 * 2) (3* 2) (3* 2)  =  ( 3^3 * 2^3) =    (3^2) * 3 * 2^3  =  9 * 24

7^3  = 343

8^2 =  512

9^3  = 729 =  9^3

So....216   and 729

This also has a similar question that will help you:

9 nuts

11 caramel

12 sold chocolate

12/32 * 11/31=33/248.

Thx, Cal   !!!!

Let N  be  the  number  of newspapers  sold  at 25 cents

Then 100 - N  is  the  number sold at 40 cents

Then

number sold at 25 cents * price each +  number sold at 40 cents *  price each  = 28

N * .25  +   (100 - N) * .40  =  28     simplify

.25N + 40 - . 40N  =  28

-.15N + 40  = 28   subtract 40 from both sides

-.15 N = -12     divide both sides by -.15

N = 80 at 25 cents

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I am getting a different answer than @Melody.

I think it is 4^4=256 ways ( distinguishable balls and distinguishable boxes).

\( \lfloor \sqrt{n} \rfloor = 5 \)

Note  that

36  = 6^2

So

floor √35 =  5

And note  that

25 = 5^2

So

floor √25 =  5

So....the number of positive integers, n, that satisfy  this  =  35 - 25 + 1  =   11

Oh, I see--we'd use the complementary counting method. Thanks! :)

How many ways can you distribute 4 different balls among 4 different boxes?

It sounds the same as putting 4 different people in a queue.

That is just 4! = 24 

Edit:   Added after Tertre's answer.

I have only considered the possibility of 1 ball per box.

If any number of the balls can be in any box the number is a lot bigger.

Tertre says it is 4^4. She may well be correct.    [4^4=256]

I counted with three balls and 3 boxes and her answer of 3^3 is definitely correct.

I have not worked through the logic of 4 balls though. I expect if is 4^4 just as Tertre claims.

one in each box = 4!= 24

2 in one and one in two others = 4C2*3*2*4=144

2 in one and 2 in another

              = 2 in the red and 2 in one other = 4C2*3 = 6*3 =18

     plus     none in the red, 2 in white, 2 in one other = 4C2*2  = 12

     plus      none in red, none in white, 2 in blue and 2 in yellow = 4C2  = 6

18+12+6=36

3 in one and one in another = 4*4 *3= 48

4 in one box = 4

24+144+36+48+4 = 256

256 is Tertre's answer too.

Tertre can you please spell out your logic to get this directly as  4^4

Possible  4 letter  words  =  26^4

Possible  4 letter words  with all letters the  same  =  26

Possible  4 letter words  having three repeated letters  =  (choose  any letter to be repeated 3 times) * choose any  of  the other 25 letters * let  this last letter occupy either  the first or last position   = 26 * 25 * 2

So...possible 4 letter words  where  no word has a letter repeated  3 or  more times  = 

26^4  - 26  -  26 * 25 * 2 =

455,460

A line perpendicular  to the given one will have slope of  (-1/4)

The equation  of  this line  is

y = (-1/4)(x - - 1)  + 4

y = (-1/4)(x + 1) + 4

y = (-1/4)x  - 1/4 + 4

y = (-1/4)x +  15/4

The  y intercept  is   (15/4)

f(x)  =  x³(7 - 2x⁹)

If  x³  =  0,  then  x  =  0.

If  7 - 2x⁹  =  0,  then  2x⁹  =  7  --->   x⁹  =  7/3   --->   x  =  (7/3)^(1/9)     (the ninth root of 7/3)

The first  circle  has  radius   of 2

The second circle  has a radius  of 10

The distance between  the  centers   = √ [ (17-2)^2  + ( 10-2)^2] = √[ 15^2  + 8^2] = √289   =17

The  distance  between  the closest two points on the circles = 17 - 2 -10  =  5 units

See the image here :

Not many people are going to be able to answer this. 

If you are very patient you might get an answer.

Let's call the blue marbles x and white marbles 2x+9. That means that 3x+9= 57. solving for x, you get x= 16. This means that 16 marbles are blue which means 41 marbles are white.

The sum of the complex numbers equals -6+2i. To graph it I'm not sure.

Hope this helps!

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It's a worksheet? 

The largest multiple of 7 less than 74 is 70, so if it has a remainder of 3, you add 3 to 70 to get 73.

Again with the modular arithmetic...this will help solve problems with much larger numbers.

Hope this helps!

The first equation has roots of 1/9 and -3/2. The second equation has roots of -1/2 and -3/2. The root that satisfies both equations is -3/2.

Hope this helps!

Oh really? Please explain how you got this

How did you get this answer

I also got the same answer.

THX!