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Like so:

1 2 3 4     19 21    22 23 24 25              median = 20

avg = 14.4         I think !             

13.7 m is to 31 cm    as      x  meters is to 8cm

13.7 / 31  * 8 = x = 3.54 meters

What is the ratio of the volume of cone A to the volume of cone B? Express your answer as a common fraction.

Cone A has a height of 3 and a radius of 8.

Cone B has a height of 8 and a radius of 3.

Hello Guest!

\(V_A:V_B=(\frac{1}{3}\cdot \pi r_A^2\cdot h_A):( \frac{1}{3}\cdot \pi r_B^2\cdot h_B)\\ V_A.V_B=r_A^2\cdot h_A:r_B^2\cdot h_B\)

\(V_A.V_B=(8^2\cdot 3):(3^2\cdot 8)\)

\(V_A:V_B=8:3\\ \ \\ \large \frac{V_A}{V_B}=\frac{8}{3}\)

  !

=  sin a cos b    +   cos a  sin b

Ratios

6 is to 15     as    'x' is to 35

6/15 = x/35        x =  35 * 6/15 = 14 tsp

Let x, y, and z be nonzero real numbers. Find all possible values of x/|x| + y/|y| + z/|z|.

Hello Guest!

\(If\ x\{y,z\}<0\ than\ \frac{x\{y.z\}}{|x\{y,z\}|}=-1\\ If\ x>0\ than\ \frac{x}{|x|}=1\)

\(\frac{x}{|x|}+\frac{y}{|y|}+\frac{z}{|z|}=\)

1+1+1                = 3

1+1(-1)              = 1

1+(-1)+1            = 1

1+(-1)+(-1)        = -1

-1+1+1              = 1

-1+1+(-1)          = -1

-1+(-1)+1          = -1

-1,+(-1)+(-1)     = -3

\(\frac{x}{|x|}+\frac{y}{|y|}+\frac{z}{|z|} \in \{ -3,-1,\ 1,\ 3\}\)

  !

The smallest palindrome that will divide: 1, 2, 3, 4, 6, 7, 8, 9 = 48,384. 

Thank you :D

 (4 nCr 2 * 5^2)  / 6^4 =150 / 1296 = 25 / 216 =11.57%

Here is my attempt at your question:

2, 4, 6, 8, 0 = 5 integers. Ordinarily, you would simply have 5! = 120 permutations and each permutation will begin with one of the 5 digits this many times: 120 / 5 = 24 permutations for each digit. But, since you cannot have a 5-digit number that begins with zero "0", then we must subtract 4! = 24 from 120 permutations: 120 - 24 = 96 such 5-digit integers.

For the hundreds' digit to be larger than its neighboring digits, to its left and right, you would have to have the following scenarios:
8=0, 2, 4, 6=4![8 in hundreds' place would have to be surrounded by 0, 2, 4, 6 =4! = 24 ways. The same applies to 6 and 4 as below].
6 =0, 2, 4 =3!
4 =0, 2 =2!

So:[4! + 3! + 2!] =32 such numbers

So, the probability of  randomly picking one of these 32 integers out of a total of 96 permutations is: 32 / 96 =1 / 3

Nein, das ist ziemlich uncool, hier im Forum.

x/|x|   = + or - 1   the same with the y and z terms

+-1  +-1  +-1  =   3,-3, 1, -1

To answer this question you should first know your rate. Let r stand for the rate. Your equation should be 15r=35. Now you must divide 35/15 to get the rate to be alone. 35/15=2 and 1/3. Ok so now we have our rate. Next we must find out the aont of red by multiplying 6*r which would be 14. The amount of red you need is 14 teaspoons.

Thank you ^~^

14 teaspoons of red

The sum of all possible values of c is 49.

Just do it

f(12)= -13/11

g(-13/11)=-2/(-2/11) = 1/11

f(1/11)=

etc

(1+2+3+4+5)(6+7+8+9+10) = 15*40 = 600  smallest

Now if the numbers that are multiplied are as close as possible that will give the biggest product.

1+2+3+4+5+6+7+8+9+10=55 = 54+1

half of 54 = 27  

So one will be 27 and the other 28

I also notice that 

1+10=11  first bracket

2+9=11    second bracket

3+8=11    first

4+7=11    second

5+6=11

you can finish it.

(-2,0) I would think.

Seems to make sense to me, thanks guest.  (you just made a small careless error)

f(x) = 2x^2 - 4x - 9

axis of symmetry   \(x=\frac{-b}{2a}=\frac{4}{4}=1\)

so the range would be   \((-\infty,1]\)

I do not get this question.

If the bottle is turned over, then it is up-side-down and the molasses is going to be above the top of the can, not above the base..

Anyway, with my interpretation, I get that the spout is 1.125cm high but nothing else can be determined.