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Recent problems solved by 'Juhi'

Juhi answered: 44 problems
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Quadratic_Equations/188092: what is the 14th term in an arthmetic sequence in which the first term is 100 and the common diffence is -4?
1 solutions

Answer 141785 by Juhi(44) on 2009-03-31 10:41:04 (Show Source):

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we have a=100 and d=-4
nth term = a+(n-1)d
14th term = a+(14-1)d
= 100 + 13(-4)
= 100-52
= 48

Linear_Algebra/188202: x=2y+1
3x+y=17
1 solutions

Answer 141784 by Juhi(44) on 2009-03-31 10:36:48 (Show Source):

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x=2y+1
3x+y=17 - (i)
putting x=2y+1 in (i),
3(2y+1) + y = 17
6y + 3 + y = 17
7y = 17 - 3
7y = 14
y = 14/7
y = 2
putting value of y in (i),
3x + 2 = 17
3x = 15
x = 5
hence, x=5 and y=2

Probability-and-statistics/189026: I have the word constituion.
A letter is selected at radndom. What is the probability that is a vowel.
1 solutions

Answer 141783 by Juhi(44) on 2009-03-31 10:20:16 (Show Source):

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total no. of outcomes = 26
no. of favorable outcomes = 5 (a,e,i,o,u)
probability of getting a vowel = 5/26

Matrices-and-determiminant/168333: use cramers rule to solve the system..
3x+2y=-2
5x+4y=8
1 solutions

Answer 124327 by Juhi(44) on 2008-11-20 10:23:06 (Show Source):

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3x+2y=-2 - (i)
5x+4y=8 - (ii)
multipying (i) by 2, we get
6x + 4y = -4 - (iii)
subracting (ii) from (iii),
6x + 4y - 5x - 4y = 8 + 2
x = 10
putting x=10 in (i),
3(10) + 2y = -2
30 + 2y = -2
2y = - 2 - 30
2y = -32
y = -16
x = 10
y = -16

Quadratic_Equations/167551: Solve ( x2 – 2x )( x + 3) = -2x ( x + 1)
1 solutions

Answer 123466 by Juhi(44) on 2008-11-14 09:34:32 (Show Source):

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( x2 – 2x )( x + 3) = -2x ( x + 1)
x3 + 3x2 - 2x2 -6x = -2x2 - 2x
x3 + 3x2 - 4x = 0

Linear-systems/133070: This question is from textbook
Please solve
-5/6x < or equal to 3/4 +8/3x
1 solutions

Answer 98277 by Juhi(44) on 2008-03-30 05:59:55 (Show Source):

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-5/6 - 8/3x = 3/4
-21/6x = 3/4
-x = 3/4 * 6/21
x = -3/14

Polygons/133840: Can you help me solve this problem: -2xsquared-5x-5
-(-5xsquared+3x-3)
1 solutions

Answer 98276 by Juhi(44) on 2008-03-30 05:49:42 (Show Source):

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-2xsquare - 5x - 5 + 5xsquare - 3x + 3
-2xsquare + 5xsquare - 5x - 3x -5 +3
3xsquare - 8x -2

Linear-equations/133816: is y= 1/2x + 4 a linear equation?
1 solutions

Answer 98275 by Juhi(44) on 2008-03-30 05:45:09 (Show Source):

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yes, it is a linear equation in 2 variables

Equations/134027: can you help to determine the value of X
-9 (6+X) -2X = -10
1 solutions

Answer 98274 by Juhi(44) on 2008-03-30 05:42:52 (Show Source):

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-9(6 + x) - 2x = -10
-54 - 9x - 2x = -10
-11x = 44
x = -44/11
x = -4

Equations/134255: x-4=3/4(x-8) change to standard from
1 solutions

Answer 98273 by Juhi(44) on 2008-03-30 05:38:23 (Show Source):

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x - 4 = 3/4 (x - 8)
x - 4 = 3/4x - 6
x - 3/4x = -6 + 4

x/4 = -2
x = -8

Polynomials-and-rational-expressions/134318: fully factorise the following expressions
2a-8b

3ab-9bc+12abc
15a squared b-10ab3c
1 solutions

Answer 98272 by Juhi(44) on 2008-03-30 05:34:18 (Show Source):

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1) 2(a - 4b)
2) 3b(a - 3c + 4ac)
3) 5ab(3a - 2bc)

expressions/105036: This question is from textbook Algebra
2/3 (6x + 3) = 4x + 2
1 solutions

Answer 76604 by Juhi(44) on 2007-10-20 11:29:57 (Show Source):

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4x + 2 = 4x + 2
4x - 4x = 2 - 2
0

Polynomials-and-rational-expressions/105222: Factor completely:
27x3 – 8y3
Must use the “difference of two cubes method”
1 solutions

Answer 76603 by Juhi(44) on 2007-10-20 11:26:17 (Show Source):

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(3x)3 - (2y)3
(3x - 2y) ( 9x2 + 6xy + 2y2)

Rational-functions/105234: Express the phrase as a ratio in lowest terms:
7 to 10.5

1 solutions

Answer 76602 by Juhi(44) on 2007-10-20 11:23:33 (Show Source):

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7 to 10.5
1:1.5

Inverses/50993: I really couldn't find a catagory for my pre- Algebra problem sorry.
Well here is my problem x-21=-2. Thank you for your time:)
x=-2+21
x=19
1 solutions

Answer 34046 by Juhi(44) on 2006-09-07 03:07:06 (Show Source):

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x - 21 = -2
x = - 2 + 21
= 19

Quadratic_Equations/51014: The length of a rectangle is 2 cm more than twice its width. If the perimeter of the rectangle is 52 cm, find the dimensions of the rectangle.
1 solutions

Answer 34045 by Juhi(44) on 2006-09-07 03:03:18 (Show Source):

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width=x
length=2x+2
Perimeter= 2(2x+2+x)
52=4x+4+2x
48=6x
8=x
width= 8 cm
length= 18 cm

expressions/49890: I am having trouble with this question:
Solve: 3t-4(5-t)=t-8

ISBN:0618372628
1 solutions

Answer 33135 by Juhi(44) on 2006-08-27 07:34:26 (Show Source):

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3t - 4(5 - t)= t - 8
3t - 20 + 4t = t - 8
3t + 4t - t = -8 + 20
6t = 12
t = 12/6
= 2

Linear-systems/49446: Can someone help me on this problem?
I need to solve and check the following equation:
12x - 6 = 11x
Thanks, Sher
1 solutions

Answer 33099 by Juhi(44) on 2006-08-26 08:01:38 (Show Source):

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12x - 6 = 11x
12x - 11x = 6
x = 6

Equations/49443: This question is from textbook beginning algebra
2/5x-6=12
1 solutions

Answer 33098 by Juhi(44) on 2006-08-26 07:47:18 (Show Source):

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2/5x - 6 = 12
2/5x = 12 + 6
2/5x = 18
x = 5/2 * 18
= 5*9
= 45

Equations/49462: 5x/7 + 2= x/2 -4
This is 5x over 7 as a fraction plus 2= x over 2 as a fraction minus 4.
Solve for x
1 solutions

Answer 33097 by Juhi(44) on 2006-08-26 07:43:49 (Show Source):

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5x/7 - x/2 = -4 - 2
3x/14 = -6
x = 14/3 * 6
= 14 * -2
= -28

Quadratic_Equations/49470: Solve by using the quadratic formula. x2 – 15x + 54 = 0
1 solutions

Answer 33096 by Juhi(44) on 2006-08-26 07:37:07 (Show Source):

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xsquare - 15x + 54
xsquare - 9x - 6x + 54
x(x-9) - 6(x-9)
(x-9)(x-6)

Equations/49494: 3x-x-5=15 how you came up with the 2 and 20
1 solutions

Answer 33095 by Juhi(44) on 2006-08-26 07:30:57 (Show Source):

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3x - x - 5 = 15
2x - 5 = 15
2x = 15 + 5
2x = 20
x = 20/2
= 10

Linear-systems/49497: 6x-1 over 5, minus, 2x over 3, equals 3. I am solving for x. I tried using the LCM of 15 but every answer I come up with doesn't equal out.
1 solutions

Answer 33094 by Juhi(44) on 2006-08-26 07:19:51 (Show Source):

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3(6x-1)-5(2x)=3
18x - 3 - 10x = 3
18x - 10x = 3 + 3
8x = 6
x = 6/8
= 3/4

Equations/49499: 2(x+1)-3x=3(3+2x)
1 solutions

Answer 33093 by Juhi(44) on 2006-08-26 07:11:47 (Show Source):

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2(x+1)-3x = 3(3+2x)
2x+2-3x = 9+6x
-x+2 = 9+6x
-x-6x = 9-2
-7x = 7
x = 7/-7
= -1

Graphs/49627: This question is from textbook algreba connectins
2x-3 over 4 = x over 8
1 solutions

Answer 33072 by Juhi(44) on 2006-08-26 00:43:45 (Show Source):

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2x-3/4 = x/8
LCM of 4 and 8 = 8
2(2x - 3) = x
4x - 6 = x
4x - x = 6
3x = 6
x = 6/3
= 2

Equations/49651: solve for x
9x/4=-72/20
9x over 4 (as a fraction) = -72 over 20 (as a fraction)
1 solutions

Answer 33009 by Juhi(44) on 2006-08-24 09:22:36 (Show Source):

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9x/4 = -72/20
x = -72/20 * -4/9
= 8/5

Linear-equations/49671: This question is from textbook
solve: 7x + 12 = 3x - 4
solve: 6(a - 5) = 4(a + 1)
solve: 4(x + 3) = 12
solve: n divided by 5 + 10 = 0
solve: 3x - 7 = 4x + 5
1 solutions

Answer 33008 by Juhi(44) on 2006-08-24 09:00:34 (Show Source):

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7x + 12 = 3x - 4
7x - 3x = -4 -12
4x = -16
x = -16/4
= -4
6(a - 5) = 4(a + 1)
6a - 30 = 4a + 4
6a - 4a = 4 + 30
2a = 34
a = 34/2
= 17
4(x + 3) = 12
4x + 12 = 12
4x = 12 - 12
x = -4
n/5 + 10 = 0
n/5 = -10
n = -10*5
= -50
3x - 7 = 4x + 5
3x - 4x = 5 + 7
-x = 12
x = -12

Equations/49676: 2x/3 as a fraction minus 5= 5x/4 as a fraction +9
Solve for x.

1 solutions

Answer 33007 by Juhi(44) on 2006-08-24 08:45:56 (Show Source):

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2x/3 - 5 = 5x/4 + 9
2x/3 - 5x/4 = 9 + 5
-7x = 14
x = 14/-7
= -2

test/49697: This question is from textbook
Subtracting: Subtract 37 from -21. The answer is -58, but I don't know why!

Subtract 19 from -7.
Subtract -25 from 9.
Subtract -31 from -5.
I need help with all of the above. If you can show the work on how you got the answer? I need to have this done by today so pleeeeeeeeeeease help me asap!
1 solutions

Answer 33001 by Juhi(44) on 2006-08-24 03:19:34 (Show Source):

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19 from -7 = 12
-25 from 9 = -14
-31 from -5 = -36

Equations/49709: 1/3(3+9x)=7/4(28-12x)
1 solutions

Answer 33000 by Juhi(44) on 2006-08-24 03:05:22 (Show Source):

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1/3(3+9x) = 7/4(28-12x)
1+3x = 49-21x
3x+21x = 49-1
24x = 48
x = 48/24
= 2

Equations/49654: 2x/3-5=5x/4+9
solve for x=
2x over 3 as a fraction - 5= 5x over 4 as a fraction +9
1 solutions

Answer 32973 by Juhi(44) on 2006-08-23 08:38:12 (Show Source):

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2x/3 - 5x/4 = 9 + 5
-7x/12 = 14
-x = -14 * 12/7
= -24

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