√(2 / 9) =

√2 / √9 =

√2 / 3  = 

And since the √2 is irrational, any integer division of it is also irrational.

b=7.2

You multiply both sides by 12

Then divide both sides by 7

for people's taxes

I think that there are 15 ways ... call the boxes A, B, and C.

You could put all four b***s into either box A, or box B, or box C  --->  3 ways.

You could put three ball into one box and the other ball into another box:

-- 3 into A, 1 into B, 0 into C; or 3 into A, 0 into B, 1 into C; or 1 into A, 3 into B, 0 into C; or 1 into A, 0 into B, 3 into C; or 0 into A, 3 into B, 1 into C; or 0 into A, 1 into B, 3 into C  --->  6 ways

You could put two b***s into one box and the other two b***s into another box:

-- 2 into A, 2 into B, 0 into C; or 2 into A, 0 into B, 2 into C; or 0 into A, 2 into B, 2 into C  --->  3 ways.

You could put two b***s into one box and one ball into each of the other two boxes:

-- There are three boxes that could get the two b***s  --->   3 ways

Total:  3 + 6 + 3 + 3  =  15 ways.

Very nice, geno......you visualize in 3-D WAY better than I do....!!!

I'll recommend this one for the Wrap....

(probability of a boy being chosen) + (probability of a girl being chosen) = 1.000

Let g be the probability of a girl being chosen.

Since the probability that a boy is chosen is 2/3rds the probability that a girl is chosen  --->   probability that a boy is chosen = (2/3)·g.

Substituting:       (2/3)·g + g  =  1.000

Adding the fractions:   (5/3)g  =  1.000

Solving for g:                     g  =  3/5                 (This means that girls make up 3/5ths of the club.)

We have 13 integers between 5 and 17, inclusive.

7 are odd and 6 are even.

The only way to obtain an odd product is to multiply any two of the odds together.

So....the probability of obtainng an odd product is given by :

C(7,2) / C(13,2)  =  7/26   = about  27%

 $${\mathtt{1}}{\mathtt{\,\small\textbf+\,}}{\mathtt{2}}$$ = $${\mathtt{3}}$$

To cut it into 125 congruent smaller cubes requires 5 horizontal cuts and 5 vertical cuts.

The only cubes that are painted red on one side are the interior cubes on each side. Of the 25 cubes on each side, nine of them are painted red on only one side. 9 x 6 = 54 cubes with red on only one side (9 on each side x 6 sides).

The only cubes that are not painted at all are the interior cubes; there are 3 x 3 x 3 = 27 interior cubes.

Of all the 125 cubes,

27 are interior cubes, that have no sides painted red.

54 are cubes that are painted red on only one side.

36 are cubes that are painted red on two sides.

8 are corner cubes; they are painted red on three sides.

The probability of a red side facing up:  (27/125)(0/6) + (54/125)(1/6) + (36/125)(2/6) + (8/125)(3/6)

(The first set of parentheses contains the probability of that type of cube is chosen; the second set of parentheses contains the probability of having a red side facing up; add together all these individual probabilities.)

... finish the multiplying and adding ...

Four vertical lines and four horizontal lines enclose a 3 x 3 rectangle. How many separate rectangles of all sizes are there?

Individually, there will be

9 1 x 1 rectangles (1 space down and 1 space across)

6 1 x 2 rectangles (1 space down and 2 spaces across)

6 2 x 1 rectangles

3 1 x 3 rectangles

3 3 x 1 rectangles

4 2 x 2 rectangles.

2 2 x 3 rectangles

2 3 x 2 rectangles

1 3 x 3 rectangles

Total:  36 rectangles.

Well, if it rotates at 200 revolutions  per minute, there are 2pi radians in each revolution....so....it goes through 200 x 2pi   = 400pi rads/  min  ..... the tire size is irrelevant in terms of angular speed......

22/7  =  3.142857 142857 ... (with the block of digits repeating forever).

This is a rational number; the definition of a rational number is a number that is the quotient of two integers (positive or negative whole numbers) and the denominator cannot be zero. Since both 22 and 7 are whole numbers, 22/7 is a rational number.

When written as a decimal, a rational number either terminates (7/2 = 3.5) or repeats forever (like 22/7).

(7000000)

=(

)(

)

=

=

=210000

4/5 * 1 1/6 equals 14/15. Turn  1 1/6 into a improper fraction and the improper form would be 7/6. Just in case: 1 1/6 to 7/6 is denominator * numerator plus the whole number :1 *6 +1 =7 After you have the #7 you just get the denominator in placement of your improper fraction's denominator. After you have 7/6 you multiply it to 4/5. You can simplify. $${\frac{{\mathtt{7}}}{{\mathtt{6}}}}{\mathtt{\,\times\,}}\left({\frac{{\mathtt{4}}}{{\mathtt{5}}}}\right)$$ which for this problem you can only do it to 4 and 6. 4 =2 and 6= 3. Multiply 7*2 which =14 and 3*5 which =15. Total : 14/15

If you mean "distinguishable" groups, we have

(R, G)  (R, B) (R, Y)

(B, G) (B, Y)

(G, Y)  (Y , Y)

I get seven......

Another way to see this is that from the 4 different colors, we want to choose 2......so C(4.2)  = 6

And then, we can combine any 2 of the three yellow marbles into a single identifiable group.

A polynomial is a combination of terms separated using + or − signs. Polynomials cannot contain any of the following:

1. Variables raised to a negative or fractional exponent.

2. Variables in the denominator.

3. Variables under a radical

4. Special features. (trig functions, absolute values, logarithms, etc)

Then determine if the expression breaks any of the rules.

0=0 

That means all real numbers are solutions

1. 
   
   For ax² + bx + c = 0, the value of x is given by: For the QuadraticFormula to work, you must have your equation arranged in the form "(quadratic) = 0". Also, the "2a" in the denominator of the Formula is underneath everything above, not just the square root.
   
   

$${\mathtt{7.32032\times 10^{26}}}$$

What I would take out the deciaml then when you are done with the problem put it back in. 

4x^2-8x+3=0       factor, if possible

(2x - 3)(2x -1)  = 0      setting each factor to 0, we have the following solutions....

x = 3/2   and x = 1/2

im confused i dont know what to do for my science project

10-12= -2 😃

8.8*15=132/2=66 so 66*2=132/15=8.8