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Recent problems solved by 'user_dude2008'

user_dude2008 answered: 1858 problems
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Angles/346253: What are the measures of two complementary angles if the difference is 12?
thank you so much!
1 solutions

Answer 247597 by user_dude2008(1861) About Me  on 2010-09-21 15:57:01 (Show Source):
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x-y=12
x+y=90 ----> y=90-x


x-y=12
x-(90-x)=12
x-90+x=12
2x=12+90
2x=102
x=102/2
x=51
y=90-x=90-51=39
Angles are 51 and 39


Linear-systems/346151: y = -4x - 7
y = 3x
1 solutions

Answer 247596 by user_dude2008(1861) About Me  on 2010-09-21 15:54:25 (Show Source):
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y = 3x

-4x-7 = 3x

-4x-3x=7

-7x=7

x=-1

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

Answer: (-1,-3)


Linear-systems/346247: Solve the system of equations by graphing. Then classify the system.
5x+y=26
6x+7y=-21
1 solutions

Answer 247595 by user_dude2008(1861) About Me  on 2010-09-21 15:53:19 (Show Source):
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+graph%28+300%2C+200%2C+-10%2C+10%2C+-10%2C+10%2C+26-5x%2C%28-21-6x%29%2F7%29+

Solution: (7,-9)

Consistent and independent


Linear_Algebra/345154: find the x and y intercepts of y=-6?
1 solutions

Answer 246875 by user_dude2008(1861) About Me  on 2010-09-19 16:58:59 (Show Source):
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x-intercepts: none

y-intercepts: (0,-6)


Inequalities/345107: 2(3d-4)< 4 + 6d - 15
1 solutions

Answer 246862 by user_dude2008(1861) About Me  on 2010-09-19 14:13:16 (Show Source):
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2(3d-4) < 4 + 6d - 15

6d-8 < 6d - 11


6d-6d < - 11+8

0 < - 3

No solutions


Conjunction/345109: if p is false and q is true, what is the truth for
p=>q
1 solutions

Answer 246861 by user_dude2008(1861) About Me  on 2010-09-19 14:11:19 (Show Source):
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p => q
F => T
T


Square-cubic-other-roots/345128: solve
s^2-7s-8=0
1 solutions

Answer 246860 by user_dude2008(1861) About Me  on 2010-09-19 14:10:05 (Show Source):
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s^2-7s-8=0

(s-8)(s+1)=0

s-8=0 or s+1=0

s=8 or s=-1


Equations/345129: -5k-19=5-13k
1 solutions

Answer 246859 by user_dude2008(1861) About Me  on 2010-09-19 14:09:27 (Show Source):
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-5k-19=5-13k

-5k+13k=5+19

8k=24

k=24/8

k=3


percentage/345133: a person standing on mars would weigh 38% of his earth weight. What is the mars weight of a person with the earth weight of 55 kilograms
1 solutions

Answer 246858 by user_dude2008(1861) About Me  on 2010-09-19 14:08:26 (Show Source):
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.38*55 = 20.9


Percentage-and-ratio-word-problems/344950: A water tank is 70% Full. The capacity of the tank is 515 liters. What is the volume of water in the tank?
1 solutions

Answer 246806 by user_dude2008(1861) About Me  on 2010-09-18 23:46:48 (Show Source):
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.7*515 = 360.5


Probability-and-statistics/344945: Please solve this question for me.
Thank you!
A student is taking two courses, history and math. The probability the student will pass the history course is .60, and the probability of passing the math course is .70. The Probability of passing both is .50. What is the probability of passing at least one?
1 solutions

Answer 246805 by user_dude2008(1861) About Me  on 2010-09-18 23:44:42 (Show Source):
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P(pass at least one) = P(pass history) + P(pass math) - P(pass both)

P(pass at least one) = 0.60 + 0.70 - 0.50

P(pass at least one) = 0.80


test/344928: classrooms on one side of the drama building are all numbered with consecutive off intergers. if the first classroom on this side of the buiding numbered d, write an expression in d for the sum of the first seven classroom numbers in a row. then simplify this expression.
1 solutions

Answer 246789 by user_dude2008(1861) About Me  on 2010-09-18 22:44:00 (Show Source):
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d+(d+2)+(d+4)+(d+6)+(d+8)+(d+10)+(d+12) = 7d+42


Square-cubic-other-roots/344906: ± (square root of 81)
1 solutions

Answer 246784 by user_dude2008(1861) About Me  on 2010-09-18 22:10:01 (Show Source):
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± (square root of 81) = ± 9


Functions/344908: Perform the indicated operation.
3x^2-5x/18x-30
1 solutions

Answer 246783 by user_dude2008(1861) About Me  on 2010-09-18 22:09:43 (Show Source):
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(3x^2-5x)/(18x-30) = ( x(3x-5) )/( 6(3x-5) ) = x/6


Polynomials-and-rational-expressions/344892: factor completely
36w^2 -12w +1
1 solutions

Answer 246779 by user_dude2008(1861) About Me  on 2010-09-18 22:02:24 (Show Source):
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36w^2 -12w +1 = (6w-1)^2


Exponents/344889: how can i show any number or espression raised to the "0" power = 1
1 solutions

Answer 246777 by user_dude2008(1861) About Me  on 2010-09-18 22:01:19 (Show Source):


real-numbers/344813: Let B= {x:x is an integer between -4 and 3 (not including -4 and 3)}. How many elements are in BXBXB?
1 solutions

Answer 246728 by user_dude2008(1861) About Me  on 2010-09-18 18:31:39 (Show Source):
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B={-3,-2,-1,0,1,2} ----> 6 elements

Answer: 6*6*6 = 216


Systems-of-equations/344789: 1.) 4u=37+4u
2.) 5x+8=7x+8
3.) 2x-5=3x+4
1 solutions

Answer 246727 by user_dude2008(1861) About Me  on 2010-09-18 18:30:16 (Show Source):
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1.) 4u=37+4u
4u-4u=37
0=37
no solution
2.) 5x+8=7x+8

5x-7x=8-8
-2x=0
x=0
3.) 2x-5=3x+4

2x-3x=4+5
-x=9
x=-9


Systems-of-equations/344782: 3x+2y=47
1 solutions

Answer 246724 by user_dude2008(1861) About Me  on 2010-09-18 18:28:05 (Show Source):
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3x+2y=47

2y=-3x+47


y=(-3x+47)/2


Equations/344842: -5x-3=x+6
1 solutions

Answer 246721 by user_dude2008(1861) About Me  on 2010-09-18 18:27:31 (Show Source):
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-5x-3=x+6


-5x-x=6+3

-6x=9

x=-9/6

x=-3/2


Equations/344799: 4n-10=12
1 solutions

Answer 246720 by user_dude2008(1861) About Me  on 2010-09-18 18:26:56 (Show Source):
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4n-10=12

4n=12+10


4n=22

n=22/4

n=11/2


Exponents-negative-and-fractional/344833: Hi, could you please help me with this problem:
+sqrt%288x%5E3%29-3sqrt%2850x%29+
I'm not positive if this is the correct way to type the problem but for clarification, the 3 is being multiplied by the square root of 50x, it is not an index
Thanks
1 solutions

Answer 246719 by user_dude2008(1861) About Me  on 2010-09-18 18:23:32 (Show Source):


Numeric_Fractions/344840: this is an Integer's question...
40-(30-3)
33-(3-13)
1 solutions

Answer 246717 by user_dude2008(1861) About Me  on 2010-09-18 18:21:05 (Show Source):
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40-(30-3) = 40-27 = 13

33-(3-13) = 33-(-10) = 33+10 = 43


Rectangles/344836: 1. The perimeter of a rectangle is 32 inches, and the area is 60 square inches. find the length and width of the rectangle.
1 solutions

Answer 246714 by user_dude2008(1861) About Me  on 2010-09-18 18:19:47 (Show Source):
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2L+2W=32 ----> L+W=16
LW=60 ----> L=60/W


L+W=16

60/W+W=16

60+w^2=16w

w^2-16w+60=0


(w-10)(w-6)=0

w-10=0 or w-6=0

w=10 or w=6

Answer: Width = 6 Length = 10


Equations/344837: 2x+7-5(x+1)=-(-4x-7)
1 solutions

Answer 246712 by user_dude2008(1861) About Me  on 2010-09-18 18:17:12 (Show Source):
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2x+7-5(x+1)=-(-4x-7)


2x+7-5x-5=4x+7

-3x+2=4x+7

-3x-4x=7-2

-7x=5

x=-5/7


Equations/344825: 9(b-4)=27
1 solutions

Answer 246711 by user_dude2008(1861) About Me  on 2010-09-18 18:16:16 (Show Source):
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9(b-4)=27


b-4=27/9

b-4=3

b=3+4

b=7


Equations/344785: 2/3x-5=-2x+3
1 solutions

Answer 246688 by user_dude2008(1861) About Me  on 2010-09-18 15:23:15 (Show Source):
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2/3x-5=-2x+3


2/3x+2x=3+5


8/3x=8

8x=24

x=24/8

x=3


Problems-with-consecutive-odd-even-integers/344737: The product of two consecutive even integers is 76 more than 2 times their sum. Find these two positive integers
1 solutions

Answer 246687 by user_dude2008(1861) About Me  on 2010-09-18 14:53:05 (Show Source):
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x(x+2)=2(x+x+2)+76

x^2+2x=2x+2x+4+76

x^2+2x=4x+80

x^2+2x-4x-80=0

x^2-2x-80=0

(x-10)(x+8)=0

x-10=0 or x+8=0

x=10 or x=-8

Numbers: 10, 12


Quadratic_Equations/344725: 12x^2+11x-15=0
1 solutions

Answer 246686 by user_dude2008(1861) About Me  on 2010-09-18 14:50:36 (Show Source):
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12x^2+11x-15=0


12x^2-9x+20x-15=0

3x(4x-3)+5(4x-3)=0

(3x+5)(4x-3)=0

3x+5=0 or 4x-3=0

x=-5/3 or x=3/4


Geometry_Word_Problems/344780: The lengths of the sides of a triangle are consecutive odd integers. If the perimeter is 1 less than four times the shortest side, find the lengths of each side.
1 solutions

Answer 246685 by user_dude2008(1861) About Me  on 2010-09-18 14:33:18 (Show Source):
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x+(x+2)+(x+4)=4x-1

3x+6=4x-1

3x-4x=-1-6

-x=-7

x=7

Lengths: 7, 9, 11


Square-cubic-other-roots/344776: Rewrite the rational exponent
4 sqrt 23????
1 solutions

Answer 246684 by user_dude2008(1861) About Me  on 2010-09-18 14:31:41 (Show Source):