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Alan3354 answered: 30973 problems
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Linear-equations/423157: P(3,-7),Q(-1,-7)
1 solutions

Answer 295222 by Alan3354(30993) About Me  on 2011-03-16 20:34:31 (Show Source):
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Travel_Word_Problems/423018: man travel 60 miles for the first leg of trip then 54 miles second leg, travels 4.5 hours total. distance traveled is 225 miles total.
1 solutions

Answer 295193 by Alan3354(30993) About Me  on 2011-03-16 18:48:01 (Show Source):
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Expressions-with-variables/423026: C= 5(f-32)divided by 9 for f
1 solutions

Answer 295192 by Alan3354(30993) About Me  on 2011-03-16 18:46:37 (Show Source):
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C = (5/9)*(F-32)
(9/5)*C = F - 32
F = (9/5)*C + 32
----------------
F = (9*C + 160)*2/10 more useful
eg, to convert from 37 C to F:
37*9 = 333
Add 160 = 493
x2 = 986
move the decimal --> 98.6 F commonly used as normal body temperature, tho there's at least 1 deg F variation in that.


Graphs/423056: How would you graph this equation and what would be the y intercept?
x=3y=9
1 solutions

Answer 295180 by Alan3354(30993) About Me  on 2011-03-16 18:17:12 (Show Source):
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Too many equal signs.


Inequalities/422938: your age is greater than 12 years old.
1 solutions

Answer 295170 by Alan3354(30993) About Me  on 2011-03-16 17:49:21 (Show Source):
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How did you know?


test/423034: Y=x-3
1 solutions

Answer 295168 by Alan3354(30993) About Me  on 2011-03-16 17:47:32 (Show Source):
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Geometry_proofs/423032: given: circle p
prove: triangle axb ~ triangle cxd
1 solutions

Answer 295166 by Alan3354(30993) About Me  on 2011-03-16 17:45:46 (Show Source):
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No diagrams are shown


Inequalities/422946: at least 80 runners showed up for the charity race.
1 solutions

Answer 295164 by Alan3354(30993) About Me  on 2011-03-16 17:44:08 (Show Source):
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Pythagorean-theorem/423029: A=4 c=8
1 solutions

Answer 295161 by Alan3354(30993) About Me  on 2011-03-16 17:41:15 (Show Source):
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Inequalities/422954: n < -11
1 solutions

Answer 295126 by Alan3354(30993) About Me  on 2011-03-16 15:58:19 (Show Source):
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test/422657: In trting to fins out how i can solve this linear system problem u-v= 0 and 7u+v=0 using substitution method
1 solutions

Answer 294987 by Alan3354(30993) About Me  on 2011-03-15 21:53:35 (Show Source):
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u-v= 0 --> u = v
7u+v=0
7v+v = 0
v = 0
u = 0


Problems-with-consecutive-odd-even-integers/422442: the sum of three consecutive odd integers is 81. find the intereg.

1 solutions

Answer 294873 by Alan3354(30993) About Me  on 2011-03-15 14:41:09 (Show Source):
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81/3 = 27, the middle number
--> 25, 27 & 29


Surface-area/422064: what is the answer to 1/64 can this be re dosted yes or no
1 solutions

Answer 294630 by Alan3354(30993) About Me  on 2011-03-14 17:05:57 (Show Source):
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There's no answer to 1/64, it's not a question.
What is "re dosted?"


Exponential-and-logarithmic-functions/421970: Find each value of x.
2^log2 ^5=x
1 solutions

Answer 294582 by Alan3354(30993) About Me  on 2011-03-14 13:58:45 (Show Source):
You can put this solution on YOUR website!
x = 2^log2 ^5
x = 2^log(32)
x =~ 2^1.50515
x =~ 2.8385


Numbers_Word_Problems/421967: The sum of the page numbers on the facing pages of a book is 285. Find the larger page number.
1 solutions

Answer 294581 by Alan3354(30993) About Me  on 2011-03-14 13:57:10 (Show Source):
You can put this solution on YOUR website!
The sum of the page numbers on the facing pages of a book is 285. Find the larger page number.
------------
285/2 = 142.5, the middle
--> 142 & 143


Travel_Word_Problems/421927: How far does a plane travel in the last five minutes of the flight, before it lands?
1 solutions

Answer 294580 by Alan3354(30993) About Me  on 2011-03-14 13:56:17 (Show Source):
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Different planes travel different distances.


Quadratic-relations-and-conic-sections/421972: how do you factor (x+21)(x-6)?
1 solutions

Answer 294579 by Alan3354(30993) About Me  on 2011-03-14 13:54:20 (Show Source):
You can put this solution on YOUR website!
It's already factored.


Travel_Word_Problems/421963: Jake flew his plane 500 miles against the wind in the same time as it took him to fly 700 miles with the wind. If the speed of the wind is 40 mph, what was the speed of the plane? So far for the set up of the problem I have Jake against the wind and Jake with the wind. R*T= D so Jake against the wind 500D=R-40 *T and Jake with the wind is 700D=S+40*T but I don't know how to set this up for solving
1 solutions

Answer 294577 by Alan3354(30993) About Me  on 2011-03-14 13:53:16 (Show Source):
You can put this solution on YOUR website!
Jake flew his plane 500 miles against the wind in the same time as it took him to fly 700 miles with the wind. If the speed of the wind is 40 mph, what was the speed of the plane?
----------------
a = airspeed of the plane
700 = (a+40)*t
500 = (a-40)*t
-----------
t = 700/(a+40) = 500/(a-40)
700*(a-40) = 500*(a+40)
700a - 28000 = 500a + 20000
200a = 48000
a = 240 mi/hr


Travel_Word_Problems/421928: How far does a plane travel in the first 3 minutes after take off?
1 solutions

Answer 294565 by Alan3354(30993) About Me  on 2011-03-14 12:44:06 (Show Source):
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Different planes travel different distances.


real-numbers/421950: Find two rational numbers between 1 and 999/1000
I know that 1 is the same as 1000/100, so I do not know how there can be a rational number between 1000/100 and 999/1000
1 solutions

Answer 294564 by Alan3354(30993) About Me  on 2011-03-14 12:39:59 (Show Source):
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Find two rational numbers between 1 and 999/1000
I know that 1 is the same as 1000/100, so I do not know how there can be a rational number between 1000/100 and 999/1000
-------------
1 = 1000/1000, not 1000/100.
------------
1 = 100000/100000
999/1000 = 9990/100000
--> 9991/100000, 9992/100000, etc


logarithm/421709: log3^X=4
1 solutions

Answer 294454 by Alan3354(30993) About Me  on 2011-03-13 20:45:15 (Show Source):
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log3^X=4
x*log(3) = 4
x = 4/log(3)
Just calculator work now.


Numbers_Word_Problems/421739: what are the consecutive even numbers between 50 and 80?

1 solutions

Answer 294453 by Alan3354(30993) About Me  on 2011-03-13 20:43:36 (Show Source):
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52, 54, 56...78


Linear-equations/421754: Ok What is the answer for 4x - y = 6?
1 solutions

Answer 294452 by Alan3354(30993) About Me  on 2011-03-13 20:41:52 (Show Source):
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What is the question?


Points-lines-and-rays/421761: (3,-3); 4x-5y=9
1 solutions

Answer 294451 by Alan3354(30993) About Me  on 2011-03-13 20:41:26 (Show Source):
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Do you have a question?


Exponential-and-logarithmic-functions/421723: I need help solving this problem: log(4x+10)=3
Any help you could give is greatly appreciated.
1 solutions

Answer 294429 by Alan3354(30993) About Me  on 2011-03-13 19:12:41 (Show Source):
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log(4x+10)=3
4x+10 = 1000
etc


Numbers_Word_Problems/421602: Find three consecutive integers whose sum of the first and the third is -88
1 solutions

Answer 294403 by Alan3354(30993) About Me  on 2011-03-13 14:30:45 (Show Source):
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n = 1st
n + (n+1) + (n+2) = -88
3n + 3 = -88
3n = -91
n <> integer
------------
No such numbers.
The sum of 3 consecutive numbers is always a multiple of 3. Also 3 odd or even, or any consistently spaced, integers add to a multiple of 3.


Rational-functions/421536: 2x^2+2y^2=98

1 solutions

Answer 294402 by Alan3354(30993) About Me  on 2011-03-13 14:21:07 (Show Source):
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Do you have a question?


Triangles/421580: In a right triangle, if r and s are the lengths of the legs and t is the length of the hypotenuse, then?
1 solutions

Answer 294401 by Alan3354(30993) About Me  on 2011-03-13 14:20:14 (Show Source):
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sin(R) = r/t
sin(S) = s/t
t%5E2+=+r%5E2+%2B+s%5E2
tan(R) = r/s
Angle T = 90 degs
etc


Trigonometry-basics/421595: what is the exact value of tan -240degrees
1 solutions

Answer 294400 by Alan3354(30993) About Me  on 2011-03-13 14:17:32 (Show Source):


Angles/421577: if (-2, y) lies on 3x+5y=9, what is y?
1 solutions

Answer 294399 by Alan3354(30993) About Me  on 2011-03-13 14:16:12 (Show Source):
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if (-2, y) lies on 3x+5y=9, what is y?
-------------
Sub -2 for x
3*-2 + 5y = 9
5y = 15
y = 3


Surface-area/421354: A dog owner has 250ft of fencing to enclose a rectangular run area for his dog. If he wants the maximun possible ares, what should the length and width of the rectangle be?
i did 2x+2z=250 then got the equation 2z=250-2x using -b/2a i got -250/-4=62.5=x
then 2z=250-2(62.5) and got z =62.5 which would mean each side is 62.5 and that checks out because 62.5*4=250 but how do i know thats the maximun area and also thats a square since all sides are equal?
can anyone please please tell me what i did wrong or what i need to do?
thank you!!
1 solutions

Answer 294265 by Alan3354(30993) About Me  on 2011-03-12 18:49:09 (Show Source):
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A dog owner has 250ft of fencing to enclose a rectangular run area for his dog. If he wants the maximun possible ares, what should the length and width of the rectangle be?
----------------
The max area for a rectangle is a square.
The perimeter = 250 ft = 2L + 2W
--> L + W = 125
W = 125 - L
--------
Area = L*W = L*(125 - L)
f%28L%29+=+125L+-+L%5E2 is a parabola. The max is at the vertex
f%28L%29+=+-+L%5E2+%2B+125L
The line of symmetry is L = -b/2a
L = 125/2 = 62.5
The vertex is on the line of symmetry at f(-b/2a) = f(62.5)
That proves that 62.5 ft gives the max area for the given perimeter.
Max area = 62.5^2 = 3906.25 sq ft