All Answers 359395 Answers

27 = 

105

135

165

195

225

255

285

315

345

405

435

465

495

525

555

585

615

645

705

735

765

795

825

855

885

915

945

F is also the midpoint of AD

Equation of line  containing   segment  AE  is

y = 2x

Equation of line containing segment BF  is

y = (-1/2)x + 1

Setting these equal  to get the x coordinate of the intersection of the segments

2x = (-1/2)x + 1

(5/2)x = 1

x = (2/5)

y =  2 (2/5)  = 4/5

Call the intersection pt   (2/5, 4/5)  = G

The area of right triangle DEF =  (1/2) (1) (1)   =1/2

Area of right  triangle AGB   = (1/2)(2)(4/5) = 4/5

Area of right triangle AFG =  (1/2)(2/5)(1)  =  1/5

Area of  ECBF =

Area of ABCD - Area of DEF - Area of AGB   - Area of AFG   =

2^2 - (1/2)  - (4/5) - (1/5)  =

4 - 1/2 - 1  =

2.5 cm^2

The answer is 27:

105

135

165

195

225

255

285

315

345

405

435

465

495

525

555

585

615

645

705

735

765

795

825

855

885

915

945

I'm pretty sure that answer is wrong, for it was copy and pasted, and I don't understand the solution.

See https://web2.0calc.com/questions/help-on-this-card-game-related-problem-please

Could you please explain how you got those answers? It would be helpful. It's okay if you can't though.

1 : 2 : 3 :  x

  x  /  [ 1 + 2 + 3 + x  ]  * 64

x  =

2

6

10

18

26

42

58

There are 3 possible values of x.

1. There are 27*16*4/24 = 72 sets with exactly 0 attributes.

2. There are 16*9*8/6 = 192 sets with exactly 1 attributes.

3. There are 6*24*4*3/8 = 216 sets with exactly 2 attributes.

4. There are 24*5*5 = 600 sets with exactly 3 attributes.

I don't believe you're right, for you just copy and pasted the answer from this: https://web2.0calc.com/questions/probability-of-the-game-set-search-it-up-if-you-don

I was totally on the wrong track there! Thanks CPhill!

  !

Number divisible by 2 =   floor [ 280  /2] =  140

Number divisible by 3 = floor [ 280/3 ]  = 93

Number divisible by  5 =  floor [ 280 / 5]   =  56

Number divisible by 2* 3  =   floor [ 280 / 6 ] = 46

Number divisible by 2*5  =  floor [ 280 / 10 ] = 28

Number divisible by 3*5  = floor [ 280 / 15] = 18

Number divisible  by  2 * 3 * 5  = floor  [ 280 / 30  ] = 9

N ( divisible by 2 or 3 or 5)  = 

140 + 93 + 56  - 46 - 28 - 18 - 9  =  188

Number NOT divisible by  2, 3 or 5  =    280 - 188  =   92

See https://web2.0calc.com/questions/halp_89851

Slope of second line =  (-2/-3)  =    (2/3)

So....since the lines are parallel the slopes are the same......so....

[ 17  - - 9 ] /  [ j - 2 ]   =  2/3

26  =   (2/3) [ j -2]        

26 (3/2)  =  j - 2

39  =  j - 2

39 + 2  = j

41   =  j

(7^2 + 24^2)*4*(5^2*10^2)*5/((75^2*100^2)*6)  =

[625 * 4 * (5^2 * 5^2 * 2^2) * 5]  / [ 3^2 * 5^4 * 5^4 * 2^4 * 6] =

(  5^4 * 5^2 * 5^2 * 5  * 4 * 4 ) /  [ 5^4* 5^4 * 3^2 * 16 * 6 ]  =

( 5^9 )  ] / [ 5^8 * 54 ] /  =

5 / 54  =   5 ( 1/54)

n = 1 / 54

Volume of top cube =  1^3  =  1cm^3

Volume of middle cube = 2^3 =  8cm^3

Volume of bottom cube = 3^3 =  27cm^3

Can you finish it ????

Let T  be the number of minutes after 2PM

Terry   rows for T minutes at 60m /min

Tao   rows for  T - 5 minutes  at 40m/min

And   Rate * Time  =  Distance

So

Distance that Terry rows  + Distance that Tao rows =  2000 m

60T +  40 (T - 5)  =   2000

60T  + 40T  - 200 =   2000

100T  - 200 = 2000

100T  =  2000 + 200

100T = 2200

T =  2200 / 100  =   22 minutes

They meet  at    2:22 PM

(2a - 3) ( 4b - 6)  =

(2a - 3) (2) (2b - 3)  =

2 ( 2a - 3) (2b - 3)  =

2 [ 4ab - 6a - 6b + 9 ]

2 [ 4ab  - 6 ( a+ b) + 9 ] 

The product of the roots = 5/2

The sum of the roots = - (-10) / 2 =  5

So

2 [  4 (5/2)  - 6 ( 5)  + 9 ]  =

2 [ 10 - 30 + 9 ]  =

2 [ -11 ]  = 

-22

234696

8 cubes will have paint on 3 faces

4 * 4 * 3 =  48  will have paint on two  faces

 [ 8 + 48 ]  /   6^3    = 

56  /  216   =

7 / 27

79, 88, 97

169 , 178, 187, 196

259, 268, 277, 286, 295

349, 358, 367, 376, 385, 394

439, 448, 457, 466, 475, 484, 493

529, 538, 547, 556, 565, 574

31 words

3a + b + c =  -3   (1)

a + 3b + c = 9     (2)

a + b + 3c =  1    (3)

Subtract (1) from (2)                    Subtract   (1) from (3)

-2a + 2b = 12                                     -2a + 2c = 4

-a + b =  6                                             -a + c = 2

b = 6 + a    (4)                                          c =  2 + a   (5)

Sub (4) and (5)   into (2)

a + 3 (6 + a) + (2 + a)   = 9

a + 18 + 3a + 2 + a =  9

5a + 20  =  9

5a  =  -11

a = (-11/5)

b= 6 + (-11/5)  = 19/5

c = 2 + ( -11/5)  =  -1/5

abc  =    (-11/5) (19/5) (-1/5)  =   209 / 125

It is \(\frac{1}{2},\) since 11 has only two divisors, 1 and 11, and 11 is prime while 1 is not.

The solutions to 2x^2 - 10x + 5 = 0 are (5 +/- sqrt(15))/2  Plugging these values in, you get

(2*(5 + sqrt(15))/2 - 3)(4*(5 - sqrt(15))/2 - 6) = -18