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Yes, that is right, but is there a simpler way to do it, Guest?

n

2 = 1
3 = 3
6 = 15
7 = 21
10 = 45
11 = 55
14 = 91
15 = 105
18 = 153
19 = 171
22 = 231
23 = 253
26 = 325
27 = 351
30 = 435
31 = 465
34 = 561
35 = 595
38 = 703
39 = 741
42 = 861
43 = 903
46 = 1035
47 = 1081
50 = 1225
51 = 1275
54 = 1431
55 = 1485
58 = 1653
59 = 1711
62 = 1891
63 = 1953
66 = 2145
67 = 2211
70 = 2415
71 = 2485
74 = 2701
75 = 2775
78 = 3003
79 = 3081
82 = 3321
83 = 3403
86 = 3655
87 = 3741
90 = 4005
91 = 4095
94 = 4371
95 = 4465
98 = 4753
99 = 4851
Total odds = 50

I think we can make it simpler by taking the 100th roots of each of the numbers

to get

2⁵    3⁴    4³    5²

^{32   81     64     25             so I would say it would be    5  2  4  3}  

pls i need quick

pls answer

1/7  + 1/-9 = 1/x    solve for x = 31.5 hours

The solution is an entire line....

   Pick a value for b     then a = -6b        like      y = -6x      any point on the line will work in the equation....

Here are all the possible rolls. 

You want to cover the 9 so you need the two dice to total 9, 10, 11, or 12. 

How many of those are there?  Looks like there's 10 rolls that will work. 

1,1   1,2   1,3   1,4   1,5   1,6  

2,1   2,2   2,3   2,4   2,5   2,6  

3,1   3,2   3,3   3,4   3,5   3,6  

4,1   4,2   4,3   4,4   4,5   4,6  

5,1   5,2   5,3   5,4   5,5   5,6  

6,1   6,2   6,3   6,4   6,5   6,6

Since there are 36 possible rolls, and 10 of them are suitable, the odds are 10/36 or if you want to reduce it, 5/18. 

_.

y = (3x+1)/(8+5x)      switch x's and y's then solve for y

x = (3y+1)/(8+5y)

x (8+5y) = 3y+ 1

8x  + 5xy -1 = 3y

8x-1   = 3y - 5xy

(8x-1) = y (3-5x)

(8x-1) / (3-5x) = y      which is   y^-1

Subtrat 6 from both sides of the equation, then divide by 3 to get:
 

|y+8| > =  4

then you have to solve TWO scenarios

y+8 >=  4        or      y+8 <= - 4

y >= -4            or       y < = -12

(-inf, -12] U [-4 , + inf)

EACH board costs    1.25 $/ft  *  7.25 ft   =   $   .........  

     If you want the total price for two, multiply the above answer by 2

Take   7 ml from A (or multiple of 7)   and  8 ml (or multiple of 8) from B

            A                                             B

4acid   +   3 water           +      5 acid + 3 water

= 9 acid + 6 water =   3:2    resultant  mixture

So    7:8   would be the mix ratio of A :B

Add equal parts of water to each beaker as follows:

[4/(3 + w)] + [5/(3 +w)] = 3/2, solve for w

w =3 parts of additional water added to each beaker, so that you would have the ratio of:

Beaker A =4 : 6     and  Beaker B =5 : 6     [4/6 + 5/6] =9 : 6 =3 : 2 of acid to water.

(2x+24)(2x+8) = 720    solve for x

4x^2 + 64 x - 528 = 0        Use quadratic formula to find the POSITIVE value of x   ft  

You can win in any of four ways:

1) Getting two of the three winning white balls and the red SuperBall.

    Two of the three wining white balls and one out of seven losing white balls:  

           3C2·7C1 / 10C3  =  3·7/120  =  7/40

    Combine this with getting the red SuperBall  =  1/10     --->     7/400

2) Getting two of the three white balls and not getting the red SuperBall:

    The  7/40  from above combined with not getting the red SuperBall  =  9/10   --->   63/400

3) Getting all three of the white balls and the red SuperBall:

    Three of three winning white balls and none of the seven losing white balls:

          3C3·7C0 / 10C3  =  1·1/120  =  1/120

    Combine this with getting the red SuperBall  =  1/10     --->     1/200

4)  Getting all three of the white balls and not getting the SuperBall:

      The  1/120  from above combined with not getting the red SuperBall = 9/10   --->   3/400

Adding up all the probabilities, we get the answer of 3/16.

a ) Let the volume required be v .

v x .7 + 500 x .2 / ( v + 500 ) = .7

.2 v + 250 = .6 v + 180

.1 v = 200

v = 2000 mL

b )

Let the volume of solution Artesia  required be v . The volume of solution of Borromeo required will be 100 - v

v x .7 + ( 100 - v ) x .2 / 100 = .55

.6 v + 20 - .7 v = 55

.5 v = 20

v = 40 mL

volume of solution Borromeo = 60 mL .

c )

It is not possible because 90 % is more than 70 % the concentration of solution Artesia . Any mixture will have concentration less than 70 % .

Not POSITIVE

each of four rows has   10 P 5 = 30240 possibles

   middle row has   10 P 4 = 5040

  4 * 30240    +  5040 = ......... possible cards

Bald is considered a hairstyle   so    4 hair

4 hair  *  2 brow * 1 eyes * 2 ear * 2 lips * 1 shoe = .......... ways

A - K    11 letters      11 P 3 = 990

I get the following:

Guest #1 has correctly identified the roots (approximately), but I think he/she has made a mistake in the final multiplication. 

When n = 2,

\(\displaystyle 5^{6} + 1 = 15625+1=15626,\\ \text{and}\\ 3^{3}=27 \\ \text{and} \\ 15626/27 \approx578.74 \)

No good.

A    put in x=10   to show the same value is calculated on each side of the equation

B   x cannot be -1/2     the denominator would be zero....not allowed

C   Put Right side over common denominator (2x+1)

     [   2x^2 (2x+1)  + 5 (2x+1) + 4 ]   / (2x+1)

        [ 4x^3 + 2x^2  + 10x + 5 + 4  ] / (2x+1)      This exactly the same as the expression on the LEFT

                           so any 'x' value (except -1/2) will make this equation true

Prove that DE parallel to BC.

1. In ABC, A=45 degrees, B=75 degrees, and BC=12. What is the length of AB?

Hello Guest!

Sine law

\(sin (A):12=sin(C):\overline{AB}\\ \overline{AB}\cdot sin(A)=12\cdot sin(C)\\ C=180°-45°-75°\\ C=60° \)

\(\overline{AB}=\frac{12\cdot sin(C)}{sin(A)}=\frac{12\cdot sin(60°)}{sin(45°)}=\frac{12\cdot \frac{1}{2}\sqrt{3}}{\frac{1}{2}\sqrt{2}}\\ =12\sqrt{\frac{3}{2}} \)

\(\overline{AB}=6\cdot \sqrt{2}\cdot \sqrt{3}\)

\(\overline{AB}=14.697\)

  !

*** EDIT ***

add the two angles 40 and 28 for BXE