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# Recent problems solved by 'Alan3354'

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 Polygons/749536: Each interior angle of a regular convex polygon measures 156°. How many sides does the polygon have?1 solutions Answer 456037 by Alan3354(30982)   on 2013-05-16 15:54:38 (Show Source): You can put this solution on YOUR website!Each interior angle of a regular convex polygon measures 156°. How many sides does the polygon have? ------------ Exterior angles = 180 - 156 = 24 degs 360/24 = 15 sides
 Linear-systems/749526: a rectangle has an area of 126 units ^2 and a perimeter of 46 units. Find the dimensions1 solutions Answer 456029 by Alan3354(30982)   on 2013-05-16 15:02:55 (Show Source): You can put this solution on YOUR website!a rectangle has an area of 126 units ^2 and a perimeter of 46 units. Find the dimensions ----------- 9 by 14
 Rational-functions/749524: How do you solve (22x^8y^2z^5/14x^3z)(35x^4y^3z/32x^2yz^8) My final answer was 770x^7y^4/448z^31 solutions Answer 456028 by Alan3354(30982)   on 2013-05-16 14:59:31 (Show Source): You can put this solution on YOUR website!How do you solve --------------- You don't solve it. When something is solved, you get x = ..... or y = ... something. This is to be simplified. Cancel things, one at a time or in groups. = = = = = -------------- My final answer was 770x^7y^4/448z^3 Your answer can be reduced further 770x^7y^4/448z^3 = 110x^7y^4/64z^3 = 55x^7y^4/32z^3 the same
 Quadratic_Equations/749512: Could you help me solve this problem? Does the graph of f(x)= -x squared -5x+6 have the point (2, -6) on it? Thanks so much!1 solutions Answer 456027 by Alan3354(30982)   on 2013-05-16 14:51:28 (Show Source): You can put this solution on YOUR website!Does the graph of f(x)= -x squared -5x+6 have the point (2, -6) on it? Does the graph of f(x)= -x^2 -5x+6 have the point (2,-6) on it? ---------- --> is f(2) = -6 ? f(2) = -4 -10 + 6 f(2) = -8 --> not on the graph
 logarithm/749522: the question is to solve for x .. log base 3 (2x+5) - Log base 3 (x-8) =1 ive gotten as far as log(2x+5/x-8) = 1 and now im stuck 1 solutions Answer 456022 by Alan3354(30982)   on 2013-05-16 14:40:36 (Show Source): You can put this solution on YOUR website!the question is to solve for x .. log base 3 (2x+5) - Log base 3 (x-8) =1 ive gotten as far as log(2x+5/x-8) = 1 and now im stuck ==================== ----
Linear-systems/749517: How do you workout the problem x^2+9y^2=9
-2x+1y=-3 by elimination method
1 solutions

Answer 456019 by Alan3354(30982)   on 2013-05-16 14:37:02 (Show Source):
You can put this solution on YOUR website!
x^2+9y^2=9
-2x+1y=-3 --> y = 2x-3
---------
Sub for y in the 1st eqn
x^2+9y^2=9

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 Solved by pluggable solver: SOLVE quadratic equation (work shown, graph etc) Quadratic equation (in our case ) has the following solutons: For these solutions to exist, the discriminant should not be a negative number. First, we need to compute the discriminant : . Discriminant d=1008 is greater than zero. That means that there are two solutions: . Quadratic expression can be factored: Again, the answer is: 1.88850021260507, 1.03041870631385. Here's your graph:

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It might be called "elimination" since the y terms were eliminated by the substitution.

 Probability-and-statistics/749502: What is the probability that first name drawn from the hat will be a woman 1 solutions Answer 456015 by Alan3354(30982)   on 2013-05-16 14:29:41 (Show Source): You can put this solution on YOUR website!What is the probability that first name drawn from the hat will be a woman ------------- Depends on what's in the hat.
 logarithm/749469: i need help with solving logs solve the equation 6^(x-1)-3=9 thanks1 solutions Answer 456013 by Alan3354(30982)   on 2013-05-16 14:26:59 (Show Source): You can put this solution on YOUR website!solve the equation 6^(x-1)-3=9 --------------- 6^(x-1) = 12 (x-1)*log(6) = log(12) x-1 = log(12)/log(6) x = 1 + log(12)/log(6) You can stop here, or ---------------- x = (log(6) + log(12))/log(6) x = log(72)/log(6) or, -------- x =~ 2.387
 Triangles/749516: 1. Find b. Round to the nearest whole inch. the triangle ABC with length BC 14 in. Angle B = 82 degrees and Angle A= 54 degrees. And length AC = b (Points : 1) 17 in. 6 in. 11 in. 14 in. 1 solutions Answer 456012 by Alan3354(30982)   on 2013-05-16 14:20:34 (Show Source): You can put this solution on YOUR website!the triangle ABC with length BC 14 in. Angle B = 82 degrees and Angle A= 54 degrees. And length AC = b ----------------- BC = a ----------- a/sin(A) = b/sin(B) 14/sin(54) = b/sin(82) b = 14*sin(82)/sin(54) b =~ 17 in
 Age_Word_Problems/749511: a man was 32 when his son was born. Ten years ago he was three times as old as his son. Find their ages now.1 solutions Answer 456007 by Alan3354(30982)   on 2013-05-16 14:01:29 (Show Source): You can put this solution on YOUR website!a man was 32 when his son was born. Ten years ago he was three times as old as his son. Find their ages now. --------------- Age difference = 32 3 times --> 48 & 16 48 + 10 = 58 & 26 now
 Quadratic_Equations/749476: What is the axis of symmetry of the equation y=2x^2+5x-4.1 solutions Answer 455979 by Alan3354(30982)   on 2013-05-16 11:48:45 (Show Source): You can put this solution on YOUR website!What is the axis of symmetry of the equation y=2x^2+5x-4. ---------- It's x = -b/2a a = 2 b = 5 c =-4
 Probability-and-statistics/749482: the formula for converting degrees fahrenheit (F) to degrees celsius (C) is C 5/9 (F _32) find C when F is 41 1 solutions Answer 455973 by Alan3354(30982)   on 2013-05-16 11:46:41 (Show Source): You can put this solution on YOUR website!the formula for converting degrees fahrenheit (F) to degrees celsius (C) is C 5/9 (F _32) find C when F is 41 ------------ It's C = (5/9)*(F-32) Temp 41F = 5C
 Age_Word_Problems/749411: Marie is 16 and twice as old as bobby. how old will Marie be when she's twice as old as bobby? 1 solutions Answer 455969 by Alan3354(30982)   on 2013-05-16 11:45:28 (Show Source): You can put this solution on YOUR website!Marie is 16 and twice as old as bobby. how old will Marie be when she's twice as old as bobby? ---------- She's twice as old now. = 16
 Rate-of-work-word-problems/749477: Amso can dig a hole in 6 hrs, Ndou candig the same hole in 4 hrs. How long would it take both Amso and Iblis to dig half a hole if they worked together?1 solutions Answer 455964 by Alan3354(30982)   on 2013-05-16 11:42:48 (Show Source): You can put this solution on YOUR website!Amso can dig a hole in 6 hrs, Ndou candig the same hole in 4 hrs. How long would it take both Amso and Iblis to dig half a hole if they worked together? ---------- In 1 hour, Amso digs 1/6 of the hole, Ndou digs 1/4. Together, they dig 1/6 + 1/4 = 10/24 holes/hour --> 24/10 hours/hole = 2.4 hours ===============
 Angles/749475: How do you solve: In a circle with center O, arc RS=12 degrees. How many degrees are there in angle RSO?1 solutions Answer 455962 by Alan3354(30982)   on 2013-05-16 11:40:17 (Show Source): You can put this solution on YOUR website!In a circle with center O, arc RS=12 degrees. How many degrees are there in angle RSO? ----------- RS is not a straight line, it's the arc. The angle between the tangent at point S and the radius SO is 90 degs
 Equations/749462: If x - z = xy + w, then x equals: I tried: x - z + z = xy + w + z x = xy +w + z x/y = xy/y + w + z x/y = x + w + z stuck!1 solutions Answer 455960 by Alan3354(30982)   on 2013-05-16 11:37:21 (Show Source): You can put this solution on YOUR website!x - z = xy + w Solve for x Add z x = xy + w + z Subtract xy x - xy = w + x x(1-y) = w + z x = (w + z)/(1 - y)
 logarithm/749444: How to write these equations in logarithmic form? 49=(1/7)^-2 a=b^c1 solutions Answer 455953 by Alan3354(30982)   on 2013-05-16 10:37:04 (Show Source): You can put this solution on YOUR website!How to write these equations in logarithmic form? ----- Logs are exponents. The base is what's raised to the exponent 49=(1/7)^-2 --------- a=b^c
 Rectangles/749452: 62' x 48' what is the diagonal 1 solutions Answer 455952 by Alan3354(30982)   on 2013-05-16 10:35:10 (Show Source): You can put this solution on YOUR website!62' x 48' what is the diagonal ---------
 Rectangles/749455: what is the slope intercept form of 8x-y-6=01 solutions Answer 455951 by Alan3354(30982)   on 2013-05-16 10:34:01 (Show Source): You can put this solution on YOUR website!what is the slope intercept form of 8x-y-6=0 ------------ Solve for y
 Linear-equations/749456: What is 2+21 solutions Answer 455950 by Alan3354(30982)   on 2013-05-16 10:33:26 (Show Source): You can put this solution on YOUR website!What is 2+2 It's an addition problem.
 logarithm/749398: how do i solve 1 solutions Answer 455949 by Alan3354(30982)   on 2013-05-16 10:22:12 (Show Source): You can put this solution on YOUR website! x - 1 = ex + e x - ex = 1 + e x(1 - e) = 1 + e x = (1 + e)/(1 - e) --------- 1 - e is negative --> x is negative. --> ln(x-1) is ln(negative) --> no solution.
 Triangles/749435: I am looking at putting a camera in a 12x12 stall and the camera is 9 ft in the air. The camera I am looking at says it is a 63 degree angle. I need to know if that camera will cover the whole stall at that angle? Thanks! 1 solutions Answer 455941 by Alan3354(30982)   on 2013-05-16 09:35:02 (Show Source): You can put this solution on YOUR website!I am looking at putting a camera in a 12x12 stall and the camera is 9 ft in the air. The camera I am looking at says it is a 63 degree angle. I need to know if that camera will cover the whole stall at that angle? -------------- 12 by 12 must mean the floor of the stall. What part is in the frame depends on the location relative to the floor and the focal length. If it's above the center of the floor 9' up, and 63 degs is the included angle, it will cover a circle 5.52' in diameter. Not all of the floor. ------------ To view all of the floor, it would have to be 13.85' above it.
 Mixture_Word_Problems/749437: How many gallons of a 50% solution of acid must be mixed with 80 gal of a 15% solution to get a mixture that is 40% acid1 solutions Answer 455940 by Alan3354(30982)   on 2013-05-16 09:18:39 (Show Source): You can put this solution on YOUR website!How many gallons of a 50% solution of acid must be mixed with 80 gal of a 15% solution to get a mixture that is 40% acid ----------------- 80*15 + x*50 = (80+x)*40
 logarithm/749401: Value of log 1-101 solutions Answer 455939 by Alan3354(30982)   on 2013-05-16 09:12:02 (Show Source): You can put this solution on YOUR website!Value of log 1-10 ----------- That's not clear.
 logarithm/749399: how do i solve 1 solutions Answer 455937 by Alan3354(30982)   on 2013-05-16 07:09:38 (Show Source): You can put this solution on YOUR website!how do i solve -------------- Square both sides x = ln(16)
 Geometry_Word_Problems/749285: The area of the clear panel in the top section is 15 feet square. What is the hieght of the top section?1 solutions Answer 455904 by Alan3354(30982)   on 2013-05-15 22:03:44 (Show Source): You can put this solution on YOUR website!The area of the clear panel in the top section is 15 feet square. What is the hieght of the top section? ================= Not enough info
 Inequalities/749314: what is the one solution to this problem x < = 3 and x > = 3 thanks1 solutions Answer 455902 by Alan3354(30982)   on 2013-05-15 21:58:24 (Show Source): You can put this solution on YOUR website!what is the one solution to this problem x < = 3 and x > = 3 -------- x = 3
 Evaluation_Word_Problems/749229: Solution A is 12% acid and Solution B is 4% acid. If a technician wants to mix them to make 60 liters of Solution C which is 10% acid, how many liters of each should be mixed together? I REALLY need help!!! n1 solutions Answer 455901 by Alan3354(30982)   on 2013-05-15 21:47:49 (Show Source): You can put this solution on YOUR website!Solution A is 12% acid and Solution B is 4% acid. If a technician wants to mix them to make 60 liters of Solution C which is 10% acid, how many liters of each should be mixed together? ------------- 12A + 4B = 60*10 total acid A + B = 60 total solution
 Quadratic_Equations/749264: A model rocket is shot up from a the roof of a school. the height,h, in metres, after t seconds can be approximated by h=15+22t-5^2. what is the height of the school1 solutions Answer 455900 by Alan3354(30982)   on 2013-05-15 21:44:52 (Show Source): You can put this solution on YOUR website!A model rocket is shot up from a the roof of a school. the height,h, in metres, after t seconds can be approximated by h=15+22t-5^2. what is the height of the school ---------- h=15+22t-5^2 h = 22t - 10 Height of school = -10 meters
 Inequalities/749289: If t is 2.5 what is d ?1 solutions Answer 455899 by Alan3354(30982)   on 2013-05-15 21:42:40 (Show Source): You can put this solution on YOUR website!If t is 2.5 what is d ? ---------- idk How is d related to y?
 Equations/749283: Find the y-intercept of the line whose equation is y=-20/3x+19/81 solutions Answer 455898 by Alan3354(30982)   on 2013-05-15 21:41:53 (Show Source): You can put this solution on YOUR website!Find the y-intercept of the line whose equation is y=-20/3x+19/8 --------- 19/8