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Alan3354 answered: 30973 problems
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Rectangles/511170: A rectangular painting is times as long as it is wide, and its perimeter is cm. Find the dimensions of the painting.
What is the length in cm and the width in cm?

1 solutions

Answer 342059 by Alan3354(30993) About Me  on 2011-10-07 16:06:12 (Show Source):
You can put this solution on YOUR website!
A rectangular painting is times as long as it is wide, and its perimeter is cm. Find the dimensions of the painting.
What is the length in cm and the width in cm?
----------
The width is W cm, and the length is L cm.


absolute-value/511213: Suppose you’re given the formula R = s + 2t. If you know that s is three times greater than t, how could
you rewrite the formula?
1 solutions

Answer 342055 by Alan3354(30993) About Me  on 2011-10-07 15:56:21 (Show Source):
You can put this solution on YOUR website!
Suppose you’re given the formula R = s + 2t. If you know that s is three times greater than t, how could you rewrite the formula?
---------------
s is three times greater than t --> s = t + 3t
s = 4t
R = s + 2t
R = 4t + 2t
-------------
R = 6t


Graphs/511198: Find the slope of the line containing (- 2, - 5) and (1, - 3).
A. -2/3
B. 8
C. 2/3
D. 2
1 solutions

Answer 342048 by Alan3354(30993) About Me  on 2011-10-07 15:11:20 (Show Source):
You can put this solution on YOUR website!
Find the slope of the line containing (-2,-5) and (1,-3).
------------
Hint:
slope, m = diffy/diffx
Divide the change in y by the change in x.


Radicals/511203: what is equations
1 solutions

Answer 342042 by Alan3354(30993) About Me  on 2011-10-07 14:49:38 (Show Source):
You can put this solution on YOUR website!
2 (usually 2, sometimes more) expressions are set equal.
equal, equate, equation.
eg,
x = 5 says x is 5.
x = y says that x and y are the same.


Angles/511167: angle A has a measure of 42 degrees of angle B and angle A are complementrary what is the angle of angle b
1 solutions

Answer 342027 by Alan3354(30993) About Me  on 2011-10-07 13:06:19 (Show Source):
You can put this solution on YOUR website!
measure of 42 degrees of angle B ??
What's that mean?


Mixture_Word_Problems/511163: a company wants to mix 25 pounds of peanuts worth $3 a pound with cashews worth $6 a pound in order to make an experimental mix worth $4.50 a pound. How many pounds of cashews should be added to the peanuts?
1 solutions

Answer 342026 by Alan3354(30993) About Me  on 2011-10-07 13:05:30 (Show Source):
You can put this solution on YOUR website!
$4.50 is the average, so it's equal amounts.
25 pounds
----------
I wouldn't call that an experiment.


Quadratic-relations-and-conic-sections/511123: In which direction does the parabola that is given by the equation below open?y = -2.5(x - 3)2 + 5
1 solutions

Answer 342018 by Alan3354(30993) About Me  on 2011-10-07 12:08:47 (Show Source):
You can put this solution on YOUR website!
the coefficient of the x^2 term is negative --> opens downward.


Radicals/511132: simplify the square root of 16m^21 into the from A square root of B. Please help.
Thanks.
1 solutions

Answer 342017 by Alan3354(30993) About Me  on 2011-10-07 12:04:37 (Show Source):
You can put this solution on YOUR website!
simplify the square root of 16m^21
---------
sqrt%2816m%5E21%29+=+sqrt%2816m%5E20%29%2Asqrt%28m%29
= 4m%5E10%2Asqrt%28m%29


Linear-equations/511146: find the slope of the line that contains the point (-1,5) and (5,-4).

1 solutions

Answer 342015 by Alan3354(30993) About Me  on 2011-10-07 12:00:40 (Show Source):
You can put this solution on YOUR website!
find the slope of the line that contains the point (-1,5) and (5,-4).
---------
Slope, m = diffy/diffx
m = (5 - (-4))/(-1-5) = 9/-6
m = -3/2 or -1.5


Equations/511143: 4x-3y/2y x=9/4. Find x and y
1 solutions

Answer 342014 by Alan3354(30993) About Me  on 2011-10-07 11:58:26 (Show Source):
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That's missing something, not clear.


Linear-equations/511147: what is the slope of y=6-3x? and what is the y-intercept
1 solutions

Answer 342013 by Alan3354(30993) About Me  on 2011-10-07 11:55:34 (Show Source):
You can put this solution on YOUR website!
what is the slope of y=6-3x? and what is the y-intercept
-----------
Slope, m = -3
y-int, b = 6 or (0,6)


Problems-with-consecutive-odd-even-integers/511141: find 2 numbers whose sum is 78 and product is 1512

1 solutions

Answer 342012 by Alan3354(30993) About Me  on 2011-10-07 11:43:19 (Show Source):
You can put this solution on YOUR website!
78/2 = 39
39^2 = 1521
1521 - 1512 = 9
sqrt(9) = 3
--> 39 - 3 & 39 + 3
--> 36 & 42
--------------
the usual approach:
n(78-n) = 1512
78n - n^2 = 1512
n^2 - 78n + 1512 = 0
Now you have to either factor 1512, or use the quadratic equation.
(n - 36)*(n - 42) = 0
--> 36 & 42


Complex_Numbers/511124: I need help finding the solutions to x^2 + 4x + 8 = 0. I got -2 + 2i and -2 - 2i.
1 solutions

Answer 342010 by Alan3354(30993) About Me  on 2011-10-07 11:06:07 (Show Source):
You can put this solution on YOUR website!
x^2 + 4x + 8 = 0
----------
Solved by pluggable solver: SOLVE quadratic equation (work shown, graph etc)
Quadratic equation ax%5E2%2Bbx%2Bc=0 (in our case 1x%5E2%2B4x%2B8+=+0) has the following solutons:

x%5B12%5D+=+%28b%2B-sqrt%28+b%5E2-4ac+%29%29%2F2%5Ca

For these solutions to exist, the discriminant b%5E2-4ac should not be a negative number.

First, we need to compute the discriminant b%5E2-4ac: b%5E2-4ac=%284%29%5E2-4%2A1%2A8=-16.

The discriminant -16 is less than zero. That means that there are no solutions among real numbers.

If you are a student of advanced school algebra and are aware about imaginary numbers, read on.


In the field of imaginary numbers, the square root of -16 is + or - sqrt%28+16%29+=+4.

The solution is x%5B12%5D+=+%28-4%2B-i%2Asqrt%28+-16+%29%29%2F2%5C1+=++%28-4%2B-i%2A4%29%2F2%5C1+, or
Here's your graph:
graph%28+500%2C+500%2C+-10%2C+10%2C+-20%2C+20%2C+1%2Ax%5E2%2B4%2Ax%2B8+%29

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What did you need help with?


Linear-equations/511125: gragh x+2y=4
1 solutions

Answer 342009 by Alan3354(30993) About Me  on 2011-10-07 10:59:24 (Show Source):
You can put this solution on YOUR website!
Do it like this one:
---------
graph the following : 4x-6y=-12
----------
It's a straight line, so you need 2 points.
The easiest way is to find the intercepts:
@ x = 0, y = 2 --> (0,2)
@ y = 0, x = -3 --> (-3,0)
Plot the 2 points, draw a line thru them.



Graphs/511112: graph the following : 4x-6y=-12
1 solutions

Answer 342008 by Alan3354(30993) About Me  on 2011-10-07 10:55:44 (Show Source):
You can put this solution on YOUR website!
graph the following : 4x-6y=-12
----------
It's a straight line, so you need 2 points.
The easiest way is to find the intercepts:
@ x = 0, y = 2 --> (0,2)
@ y = 0, x = -3 --> (-3,0)
Plot the 2 points, draw a line thru them.


Travel_Word_Problems/511121: The graph represents Jason's speed on a trip. What is the rate of change for the period of time between 10 and 20 minutes?
1 solutions

Answer 342005 by Alan3354(30993) About Me  on 2011-10-07 10:49:14 (Show Source):
You can put this solution on YOUR website!
No graph is shown.


Parallelograms/511116: The measures of the angles in a quadrilateral are represented by x, 2x, 3x, and 3x.
Write an equation that would allow you to solve for the value of x.

1 solutions

Answer 342004 by Alan3354(30993) About Me  on 2011-10-07 10:47:14 (Show Source):
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The sum of the angles in a 4-sided polygon is 360 degrees.


Geometry_proofs/511111: square root of z?
1 solutions

Answer 342002 by Alan3354(30993) About Me  on 2011-10-07 10:29:06 (Show Source):
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what about it?


Miscellaneous_Word_Problems/511108: i have an average of 54 for my first six weeks, what do i have to make on my 2nd and 3rd six weeks to get an average of atleast a 70?
1 solutions

Answer 342001 by Alan3354(30993) About Me  on 2011-10-07 10:26:19 (Show Source):
You can put this solution on YOUR website!
3 periods @ 70 each = 210 total.
You have 54, you need at least 156 more points.
156/2 = 78 each.
Any combination that totals 156 will work, tho.
100 + 56, 90 + 66, etc.


Exponential-and-logarithmic-functions/511098: hh4.64^4
1 solutions

Answer 341996 by Alan3354(30993) About Me  on 2011-10-07 09:52:40 (Show Source):
You can put this solution on YOUR website!
What does that mean?
Do you have a question?


Permutations/511096: how many combinations of two letters are possible from the letters U, A, and X?
1 solutions

Answer 341995 by Alan3354(30993) About Me  on 2011-10-07 09:51:13 (Show Source):


Travel_Word_Problems/511070: If you walked 7 1/4 miles at a rate of 2 1/2 miles per hour, how long in hours and minutes will it take to complete the walk?
1 solutions

Answer 341994 by Alan3354(30993) About Me  on 2011-10-07 09:46:36 (Show Source):
You can put this solution on YOUR website!
d = r*t
t = d/r


Exponents/510866: Rewrite without exponents
x^1/4
1 solutions

Answer 341918 by Alan3354(30993) About Me  on 2011-10-06 21:17:27 (Show Source):


Expressions-with-variables/510882: What is the final velocity of a runner who is accelerating @ 2 ft per second squared for 3 seconds with an initial velocity of 4 ft per second?

1 solutions

Answer 341916 by Alan3354(30993) About Me  on 2011-10-06 21:16:37 (Show Source):
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2*3 + 4 = 10 ft/sec


Travel_Word_Problems/510858: when a sound travels through water, the distance (y) in meters that the sound travles in (x) seconds is given by the eqation (y)=1440x
1 solutions

Answer 341914 by Alan3354(30993) About Me  on 2011-10-06 21:13:48 (Show Source):
You can put this solution on YOUR website!
Thx for letting us know.


Exponential-and-logarithmic-functions/510890: how do i solve the equation: 500/100-e^x/2=20
1 solutions

Answer 341913 by Alan3354(30993) About Me  on 2011-10-06 21:12:33 (Show Source):
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500/100-e^x/2=20
5 - e^x/2 = 20
- e^x/2 = 15
e^x = -30
No solution.


Numbers_Word_Problems/510832: find three consecutive even integers with a sum of -30
1 solutions

Answer 341890 by Alan3354(30993) About Me  on 2011-10-06 19:38:00 (Show Source):
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-30/3 = -10
--? -12, -10 & -8


Probability-and-statistics/510805: how do you get 50 from the following numbers 5,4,3,2,1

1 solutions

Answer 341887 by Alan3354(30993) About Me  on 2011-10-06 19:00:11 (Show Source):
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5*(1+2+3+4) = 50


Numbers_Word_Problems/510756: Find three consecutive integers such that if the thrid is added to twice the first, the reslut is 83.

1 solutions

Answer 341882 by Alan3354(30993) About Me  on 2011-10-06 18:22:05 (Show Source):
You can put this solution on YOUR website!
2n + (n+2) = 83
3n = 81
n = 27
27, 28 & 29


Angles/510771: im having a hard time understanding this problem If p  q and m("8) = 55°, find the measures of the other angles with valid
justification? i would like some help in where to start

1 solutions

Answer 341881 by Alan3354(30993) About Me  on 2011-10-06 18:20:21 (Show Source):
You can put this solution on YOUR website!
I don't know what that symbol means.


Reduction-of-unit-multipliers/510749: How i convert 60 eggs to dozens eggs??
1 solutions

Answer 341880 by Alan3354(30993) About Me  on 2011-10-06 18:19:28 (Show Source):