Hi,



Note:  A = LW =  is Area in ft^2 not length in ft.

P(distance around) = 2L + 2W = 

 

Hi,

 

Hi,

total the individual rates and divide that total by 10 to find the sample 'mean'

 

Hi, Previously Posted

1.

 .08*300 = $24

 $24 + .13x = 43.50

       .13x = 19.50

          x = 150kWh 

total kilowatt-hours  is 450kWh 

 

Hi, Previously Posted

1.

 .08*300 = $24

 $24 + .13x = 43.50

       .13x = 19.50

          x = 150kWh 

total kilowatt-hours  is 450kWh 

2.

 (smaller number) n

 (larger number) (24-n)

 5n - 6 = 24-n

   6n = 30

    n = 5, the smaller number.  the larger is 19

 

Hi,

algebraic expression that represents the number of feet in y yards.

 3y = x 

 

Hi,

 .08*300 = $24

 $24 + .13x = 43.50

       .13x = 19.50

          x = 150kWh 

total kilowatt-hours  is 450kWh 

 

Hi,



domain: {x | x ≥ -1/2}    | Note: 4x+2 ≥ 0

Range: y ≥ - 3



 

 

Hi,

1. smaller number n and larger number is (24-n)

Question states***

5n-6 = 24-n  

6n = 30, 

 n = 30/6 = 5  & the larger number is  19

and  

2. x + (x+2) + (x+4) = -36

      3x = -42 , x = -14 

 -14,-12,-10 are the integers.

 

Hi,

1. x + y = 24 OR y = 24-x  and 

5x-6 = y, 

5x-6 = 24-x, 

6x = 30, 

 x = 30/6 = 5  & y = 19

and  

2. x + (x+2) + (x+4) = -36

      3x = -42 , x = -14 

 -14,-12,-10 are the integers.



3.  

 $43.50 = $24 + .13x

 

Hi,

7 cards, 4 with odd numbers

draw 1 w/o replacement and draw another 

P(one odd) =   

OR 

4/7*3/6 + 3/7*4/6 = 12/42 + 12/42 = 24/42 = 4/7

 

Hi,

1. If 3x = 2x – 4,  x = -4, ⇒ 4x + 2 = -14 

2.The difference between a number, n, and twenty-seven is ten.  



property of levers” 

 74.4x = 186(14-x)

 260.4x = 2604

      x = 2604/260.4 = 10ft from the child the fulcrum should be placed 

 

Hi,

6 dimes and 5 quarters (all distinct), and you select 4 coins

(1) In how many ways can the selection be made? 11C4 =  330  Yes.

(2) In how many ways can the selection be made if all the coins are dimes? 6C4 = 15  Yes.

(3) In how many ways can the selection be made if you select 2 dimes and 2 quarters?  = 150 Yes.

 (4) In how many ways can the selection be made so that at least 2 coins are dimes? 

 

 

Hi,

8 cans of regular cola and 6 cans of diet cola. cans Total

randomly select  3 cans

P(3 regular are selected) = 8C3/14C3

P(3 diet are selected) = 6C3/14C3

P(2 reg and 1 diet) = 

 

Hi,

The sum of nine times a numberand 4, is equal to eight times the number. 

Question states***

 9x + 4 = 8x

     x = -4

and...

 

Hi,

Mary is n years old.

How old will she be in 8 years?  

How old was she 8 years ago? 

 

Hi,

parellel lines have identical slopes

(1, a) and 

(4, -2) 



(2, 8) and 

(-7, a + 4)  



 |Multiplying thru by 9 so as all denominators = 1

-3(a+2) = 8-(a+4)

 -3a - 6 = 8 -a - 4

    -10 = 2a

    -5 = a

and...

(1, -5) and 

(4, -2) m = -3/-3 = 1

(2, 8) and 

(-7, -1) m = 9/9 = 1

 

Hi,

Six hundred people attended the premiere of a motion picture. 

Adult tickets cost $6, and children were admitted for $2. 

Question states***box office receipts totaled $2880

 6x + 2y = 2880    |  y = 600-x

 6x + 2(600-x) = 2880

    4x = 1680

     x = 420, number of adults, 180 children    

and

 

Hi, Previously Posted

 |Multiplying thru by 3x(x+1) so as all denominators = 1

   3(x+1) - 3x = 3x(x+1)

    3x^2+3x - 3 = 0

     x^2 + x - 1 = 0    || y = ax^2 + bx + c = 0

Perhaps easier if one started with:

 |Multiplying thru by x(x+1) so as all denominators = 1



  1 = x^2+x

  x^2 + x-1 = 0

 

Hi,

 |Multiplying thru by 3x(x+1) so as all denominators = 1

   3(x+1) - 3x = 3x(x+1)

    3x^2+3x - 3 = 0

     x^2 + x - 1 = 0    || y = ax^2 + bx + c = 0

 

Hi,

If it takes 5 men 6 days to build a house, how many days will it take if only 3 men are able to work?

Note: 

  

      10days = x

 

Hi,

"C O M P U T E R" 8 letters, 3 vowels grouped for adjacent placement

The 3 vowels thmeselves have 3! ways of being arranged

total ways vowels can occupy adjacent places = 3!6! 

(the 6! being ways of arranging the remaining 5 letters and the group of 3 vowels)

total ways of arranging 8 letters is 8!

the letters of the word "COMPUTER" are arranged randomly...

P(that all vowels occupy adjacent places) = 3!6!/8! =  

 

Hi,



cone with s = 3in and base area of in^2, r = 4in

surface area = in^2

 

Hi,

   || Let 

   4y^2 - 8y - 5 = 0

  (2y - 5)(2y + 1) = 0

  y = 5/2  or y = -1/2   Tossing out y = -1/2 as being an extraneous root

 y = 5/2 and 

 

Hi,

Note: normal distribution provides a reasonable approximation for a binomial distribution

whenever np ≥ 5 AND nq ≥ 5  (most textbooks use 5)

     However 

Both condiditons are not met, so NO

 

Hi,

arithmetic series

****

 -195 = n(-27 + -51)/2

 -195 =( -78/2)n

 -195/-39 = n

     5 = n

Note:  = -27 + 4d = -51, d = -6

{-27,-33,-39,-45,-51}

 

Hi,

The idea is to have all denominators = 1 

   Note: 

  |Multiplying thru by 8 so as all denominators = 1

   6n + 128 = 17n

      128 = 11n

      128/11 = n  OR 

 

Hi,

 y = x^2-10x+24    ||Completing Square to put Parabolic function in Vertex form

 y = (x-5)^2 - 25 + 24

 y = (x-5)^2 - 1  V(5,-1)

Graph y = (x-5)^2 - 1  and determine where the function is > 0

{x | x < 4  or x > 6}

 

Hi,

how to turn 3-2x=5+3y into slope intercept form ... by solving for y

 5 + 3y = 3-2x

     3y = -2x - 2

      y = (-2/3)x - 2/3

  m = -2/3  and the y-intercept is -2/3  Pt(0,-2/3)

 

Hi,

mean tax for the year 2011 was $3,000. Assume the standard deviation is $410

Using TI-83 Calculator to Probability Distribution Values Normal

Press 2nd VARS [DISTR].Scroll down to 2:normalcdf and Press ENTER.

Enter data and Press ENTER.

 P(x < 2900 or > 3200) = 1 - P(2900 ≤ x ≤ 3200)

                       = 1- normalcdf(2900, 3200, 3000, 410)

 

Hi,

"Find the coordinates for all the points on a number line whose distance from -1 is equal to 3.5.