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Triangles/373965: the measure of two sides of an eqilateral triangle are 3x+15 and 7x-5.what is the measure of the third side?
1 solutions

Answer 266161 by Fombitz(13828) About Me  on 2010-11-20 10:26:44 (Show Source):
You can put this solution on YOUR website!
Since it's equilateral,
3x%2B15=7x-5
-4x=-20
x=5
.
.
.
3x%2B15=7x-5=3%285%29%2B15=15%2B15=30
s=30
All sides have a length of 30.


Equations/373967: Simplify 2x^2+4x-1/3x^2
1 solutions

Answer 266160 by Fombitz(13828) About Me  on 2010-11-20 10:25:18 (Show Source):


Money_Word_Problems/373978:

A mother left 20% of her estate to one son and 25% to another son. The remaining $55,000 she left to her daughter. Find the amount of the estate.
1 solutions

Answer 266159 by Fombitz(13828) About Me  on 2010-11-20 10:23:27 (Show Source):
You can put this solution on YOUR website!
Let X be the amount she left to the first son, Y the amount for the second son, T the total amount of the estate.
X%2BY%2B55000=T
X%2FT%2BY%2FT%2B55000%2FT=1
0.2%2B0.25%2B55000%2FT=1
55000%2FT=0.55
highlight%28T=100000%29


Quadratic_Equations/373975: Determine nature of solution
y^2=3/4y+4/7
1 solutions

Answer 266157 by Fombitz(13828) About Me  on 2010-11-20 10:21:25 (Show Source):
You can put this solution on YOUR website!
y%5E2=%283%2F4%29y%2B4%2F7
y%5E2-%283%2F4%29y-4%2F7=0
Use the discriminant, D
D=b%5E2-4ac
D=%283%2F4%29%5E2-4%281%29%28-4%2F7%29
D=9%2F16%2B16%2F7
Since D%3E0, there are two real roots.
Since D is not a perfect square, the two roots are irrational.
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.
.


Points-lines-and-rays/373718: Please help me with this!! Can an exterior angle of a triangle be less than either of the remote interior angles of the triangle?
1 solutions

Answer 266128 by Fombitz(13828) About Me  on 2010-11-20 01:28:03 (Show Source):
You can put this solution on YOUR website!
A%2BB%2BC=180
.
.
.
A%2BA%5Be%5D=360
B%2BB%5Be%5D=360
C%2BC%5Be%5D=360
.
.
.
180%2BA%5Be%5D%2BB%5Be%5D%2BC%5Be%5D=1080
A%5Be%5D%2BB%5Be%5D%2BC%5Be%5D=900
A%5Be%5D%2B%28360-B%29%2B%28360-C%29=900
A%5Be%5D%2B720=900%2BB%2BC
A%5Be%5D=180%2BB%2BC
No, because each exterior angle equals 180 plus the sum of the remaining two interior angles.


Numeric_Fractions/373859: what is 5 1/3-2 11/18 in lowest terms please show steps
1 solutions

Answer 266127 by Fombitz(13828) About Me  on 2010-11-20 01:22:43 (Show Source):
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USe a common denominator 18
%281%2F3%29%286%2F6%29=6%2F18
.
.
5%2B1%2F3-%282%2B11%2F18%29=%285-2%29%2B%281%2F3-11%2F18%29
5%2B1%2F3-%282%2B11%2F18%29=%283%29%2B%286%2F18-11%2F18%29
5%2B1%2F3-%282%2B11%2F18%29=%283%29%2B%28%286-11%29%2F18%29
5%2B1%2F3-%282%2B11%2F18%29=%283%29-%285%2F18%29
5%2B1%2F3-%282%2B11%2F18%29=%283%29%2818%2F18%29-%285%2F18%29
5%2B1%2F3-%282%2B11%2F18%29=%2854%2F18%29-%285%2F18%29
5%2B1%2F3-%282%2B11%2F18%29=%2854-5%29%2F18%29
5%2B1%2F3-%282%2B11%2F18%29=%2849%2F18%29




Numeric_Fractions/373858: what is 8/25-7/10-3/5 and please show steps
1 solutions

Answer 266126 by Fombitz(13828) About Me  on 2010-11-20 00:44:26 (Show Source):
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You need a common denominator 2%2A25=50
%288%2F25%29%282%2F2%29=16%2F50
%287%2F10%29%285%2F5%29=35%2F50
%283%2F5%29%2810%2F10%29=30%2F50
.
.
8%2F25-7%2F10-3%2F5=16%2F50-35%2F50-30%2F50
.
.
8%2F25-7%2F10-3%2F5=%2816-35-30%29%2F50
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highlight%288%2F25-7%2F10-3%2F5=-49%2F50%29







Probability-and-statistics/373867: Four unmarked packages have lost their shipping labels, and you must reapply them. What is the probability that you apply the labels and get all four of them correct? Exactly three correct? Exactly two correct? At least one correct?
1 solutions

Answer 266124 by Fombitz(13828) About Me  on 2010-11-20 00:40:51 (Show Source):
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Look at all of the possible outcomes for incorrect(I) and correct(C) placement of labels on each of the 4 boxes.
CCCC
CCCI
CCIC
CCII
CICC
CICI
CIIC
CIII
ICCC
ICCI
ICIC
ICII
IICC
IICI
IIIC
IIII
There are 4%5E2=16 possible outcomes.
1 has exactly 4 correct.
4 have exactly 3 correct.
6 have exactly 2 correct.
4 have exactly 1 correct.
1 has exactly 0 correct.
.
.
The probability that the label is correct is P%28C%29=1%2F4.
The probability that the label is incorrect is P%28I%29=3%2F4.
.
.
P%283C%29=4%2A%281%2F4%29%281%2F4%29%281%2F4%29%283%2F4%29=3%2F64
P%282C%29=6%2A%281%2F4%29%281%2F4%29%283%2F4%29%283%2F4%29=27%2F128
P%281C%29=4%2A%281%2F4%29%283%2F4%29%283%2F4%29%283%2F4%29=27%2F64
At least one correct means that its not the case that all four are incorrect.
P%284I%29=1%2A%283%2F4%29%283%2F4%29%283%2F4%29%283%2F4%29=81%2F256
So then either all 4 are incorrect or at least one is correct.
P(at least 1 C)+P(4I)=1
P(at least 1 C)=1-P%284I%29
P(at least 1 C)=1-81%2F256
P(at least 1 C)=175%2F256


Probability-and-statistics/373835: Write the distribution for the following formula and determine whether it is a probability distribution.
P(X) ___X___ for X = 0,1,2
X+2

1 solutions

Answer 266120 by Fombitz(13828) About Me  on 2010-11-20 00:26:52 (Show Source):
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P%280%29=0%2F%280%2B2%29=0
P%281%29=1%2F%281%2B2%29=1%2F3
P%282%29=2%2F%282%2B2%29=1%2F4
.
.
No, this is not a probability distribution since the sum of of all of the probabiites does not equal 1.


Linear-equations/373909: Find a line perpendicular to: 6x -4y = 13 + y
1 solutions

Answer 266118 by Fombitz(13828) About Me  on 2010-11-20 00:16:51 (Show Source):
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6x+-4y+=+13+%2B+y
-5y+=+-6x%2B13+
y=%286%2F5%29x-13%2F5
Perpendicular lines have slopes that are negative reciprocals,
m%5B1%5D%2Am%5B2%5D=-1
%286%2F5%29%2Am%5B2%5D=-1
m%5B2%5D=-5%2F6
.
.
.
highlight%28y=-%285%2F6%29x%29
.
.
.
graph%28300%2C300%2C-10%2C10%2C-10%2C10%2C0%2C%286%2F5%29x-13%2F5%2C-%285%2F6%29x%29


logarithm/373788: A certain city's population currently is 80,000. City leaders anticipate the population in future years can be predicted by the equation P(t)=80000(1.03)^t. When will the population reach 200,000 or more?
1 solutions

Answer 266116 by Fombitz(13828) About Me  on 2010-11-20 00:13:54 (Show Source):
You can put this solution on YOUR website!
80000%281.03%29%5Et%3E=200000
%281.03%29%5Et%3E=5%2F2
t%3E=log%281.03%2C%285%2F2%29%29 or approximately,
t%3E=30.99891
We can round up to 31 years.


Polynomials-and-rational-expressions/373776: Could anyone explain this to me?? I need all the help I can get! thank you!
Find a value of the variable that shows that the two expressions are not equivalent. Answers may vary.
a + 7 / 7 ;a

1 solutions

Answer 266104 by Fombitz(13828) About Me  on 2010-11-19 23:45:49 (Show Source):
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DUPLICATE See Quadratic_Equations/373865


Quadratic-relations-and-conic-sections/373861: Rewrite in standard form (ellipse): 36x^2+25y^2+72x+250y-239=0
1 solutions

Answer 266102 by Fombitz(13828) About Me  on 2010-11-19 23:43:03 (Show Source):
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Complete the square in x and y.
36x%5E2%2B25y%5E2%2B72x%2B250y-239=0
36x%5E2%2B72x%2B25y%5E2%2B250y-239=0
36%28x%5E2%2B2x%29%2B25%28y%5E2%2B10y%29-239=0
36%28x%5E2%2B2x%2B1%29%2B25%28y%5E2%2B10y%2B25%29-239=36%281%29%2B25%2825%29
36%28x%2B1%29%5E2%2B25%28y%2B5%29%5E2=36%2B625%2B239
36%28x%2B1%29%5E2%2B25%28y%2B5%29%5E2=900
%2836%28x%2B1%29%5E2%29%2F900%2B%2825%28y%2B5%29%5E2%29%2F900=1
%28x%2B1%29%5E2%2F25%2B%28y%2B5%29%5E2%2F36=1
highlight%28%28x%2B1%29%5E2%2F5%5E2%2B%28y%2B5%29%5E2%2F6%5E2=1%29


Equations/373804: Find all real/imaginary solutions to
q^2+6q-7=0

1 solutions

Answer 266100 by Fombitz(13828) About Me  on 2010-11-19 23:38:20 (Show Source):
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q%5E2%2B6q-7=0
%28q%2B7%29%28q-1%29=0
Two solutions:
q%2B7=0
highlight%28q=-7%29
.
.
.
q-1=0
highlight%28q=1%29


expressions/373779: (48a+b)-(-22a-6b) how do i do this? do I take it like this: (48a+22a)-(b-6b) and how does it become 70a+9b?
1 solutions

Answer 266098 by Fombitz(13828) About Me  on 2010-11-19 23:36:33 (Show Source):
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Use the distributive property for the second term,
%2848a%2Bb%29-%28-22a-6b%29=%2848a%2Bb%29%2B%28-1%29%28-22a-6b%29
%2848a%2Bb%29-%28-22a-6b%29=%2848a%2Bb%29%2B%28-22a%28-1%29-6b%28-1%29%29
%2848a%2Bb%29-%28-22a-6b%29=%2848a%2Bb%29%2B%2822a%2B6b%29
%2848a%2Bb%29-%28-22a-6b%29=%2848a%2B22a%29%2B%28b%2B6b%29
highlight%28%2848a%2Bb%29-%28-22a-6b%29=70a%2B7b%29


Equations/373847: d=D(a+1)/24
1 solutions

Answer 266096 by Fombitz(13828) About Me  on 2010-11-19 23:33:47 (Show Source):
You can put this solution on YOUR website!
What's the question??


Polynomials-and-rational-expressions/373863: 6-2x=5x-9x+4
1 solutions

Answer 266095 by Fombitz(13828) About Me  on 2010-11-19 23:33:21 (Show Source):


Radicals/373893: How do i simplify the following expression.
(x^5)1/3 /x 11/3
1 solutions

Answer 266094 by Fombitz(13828) About Me  on 2010-11-19 23:32:14 (Show Source):


Triangles/373873: Two angles are complementary.The sum of the measure of the frst angle and half the second angle is 71 degrees. Find the measures of the angles.
1 solutions

Answer 266093 by Fombitz(13828) About Me  on 2010-11-19 23:30:41 (Show Source):
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1.A%2BC=90
2.A%2B%281%2F2%29C=71
Subtract eq. 2 from eq. 1,
A%2BC-A-%281%2F2%29C=90-71
%281%2F2%29C=19
highlight%28C=38%29degrees
Then from eq. 1,
A%2B38=90
highlight%28A=52%29degrees


Graphs/373896: (8,9)9x+y=3
1 solutions

Answer 266092 by Fombitz(13828) About Me  on 2010-11-19 23:28:37 (Show Source):
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When x=0
9%280%29%2By=3
y=3
(0,3)
.
.
When y=0
9x%2B0=3
9x=3
x=1%2F3
(1%2F3,0)
.
.
.
Plot those points and connect them with a line.
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.


Numbers_Word_Problems/373904: The square of a number is equal to twenty more than the number. Find all such numbers.
1 solutions

Answer 266091 by Fombitz(13828) About Me  on 2010-11-19 23:26:08 (Show Source):
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N%5E2=20%2BN
N%5E2-N-20=0
%28N-5%29%28N%2B4%29=0
Two solutions:
N-5=0
highlight%28N=5%29
.
.
.
N%2B4=0
highlight%28N=-4%29


Linear_Algebra/373905: Hello,
Can anyone explain why vertical lines fail the "vertical line" test in an easy explanation?
Thanks
1 solutions

Answer 266090 by Fombitz(13828) About Me  on 2010-11-19 23:24:33 (Show Source):
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Because a vertical line intersects the vertical line in infinitely many locations.
More than 1 intersections is a failure.


logarithm/373792: Find the exponential function f(x)=ab^x that goes through (0,40) and (8,25)
1 solutions

Answer 266089 by Fombitz(13828) About Me  on 2010-11-19 23:22:47 (Show Source):


Equations/373810: find the equation of the line perpendicular to the line x =4 and passing through the point (4,2)



1 solutions

Answer 266088 by Fombitz(13828) About Me  on 2010-11-19 23:17:27 (Show Source):
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A perpendicular line would have the form, y=b
y=2
.
.
.


Exponents/373805: how do you write 1/36 using a negative exponet other tha -1?
1 solutions

Answer 266087 by Fombitz(13828) About Me  on 2010-11-19 23:16:04 (Show Source):


Graphs/373849: hoe do you do f(x)=1/2x+6 on a graph
1 solutions

Answer 266086 by Fombitz(13828) About Me  on 2010-11-19 23:15:02 (Show Source):
You can put this solution on YOUR website!
y=%281%2F2%29x%2B6
Find two points.
Let x=0, y=%281%2F2%29%280%29%2B6=6
(0,6)
Let x=2, y=%281%2F2%29%282%29%2B6=1%2B6=7
(2,7)
Plot those two points and connect them with a line,
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.
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Signed-numbers/373903: Simplify the quotient of complex numbers into a + bi form
1 + 8i/-6 + i
1 solutions

Answer 266085 by Fombitz(13828) About Me  on 2010-11-19 23:10:42 (Show Source):


Quadratic_Equations/373865: Find a value of the variable that shows that the two expressions are not equivalent. Answers may vary.
a + 7 / 7 ;a
1 solutions

Answer 266083 by Fombitz(13828) About Me  on 2010-11-19 23:06:51 (Show Source):


Linear-equations/373872: How do you simplify the given complex fraction?
1-a over a negative one squared minus 1
1 solutions

Answer 266082 by Fombitz(13828) About Me  on 2010-11-19 23:05:45 (Show Source):
You can put this solution on YOUR website!
How do you mean "a negative 1 squared minus 1"
a-1%5E2-1 or %28a-1%29%5E2-1 or something else.


test/373890: Your question goes here. Write clearly! We are not mind readers, so be sure to ask a question that we can understand.
1 solutions

Answer 266081 by Fombitz(13828) About Me  on 2010-11-19 23:04:30 (Show Source):
You can put this solution on YOUR website!
Please re-post.


Graphs/373902: Write an equation of the line with the given slope and the given y-intercept. Leave the answer in slope-intercept form. Slope -2/3, y-intercept (0,5)
1 solutions

Answer 266079 by Fombitz(13828) About Me  on 2010-11-19 23:04:08 (Show Source):
You can put this solution on YOUR website!
Slope intercept form is y=mx%2Bb
y=-%282%2F3%29x%2B5