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# Recent problems solved by 'Alan3354'

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 expressions/749591: Multiply (-5/6)(1/8)(-3/7)(-1/7)1 solutions Answer 456080 by Alan3354(30959)   on 2013-05-16 18:33:22 (Show Source): You can put this solution on YOUR website!Multiply (-5/6)(1/8)(-3/7)(-1/7) -------- Multiply the NUMs 5*1*3*1 = 15 --- Multiply the DENs 6*8*7*7 = 2352 --> 15/2352 = 5/784 ---- There are 3 minus signs, and odd number --> negative ==================== = -5/784
 Linear-equations/749593: I have a question for "What is the equation of a line that has a slope of zero and a y-intercept of 4?" and "What is the equation of a line that has a slope of 3 and a y-intercept of -3?"1 solutions Answer 456078 by Alan3354(30959)   on 2013-05-16 18:29:15 (Show Source): You can put this solution on YOUR website!I have a question for "What is the equation of a line that has a slope of zero and a y-intercept of 4?" y = 0x + 4 y = 4 is AN equation for the line. ----------------- and "What is the equation of a line that has a slope of 3 and a y-intercept of -3? y = 3x - 3 is AN equation for the line.
 Exponents/749592: How would I convert 523,000,000 to scientific notation? Thanks :)1 solutions Answer 456076 by Alan3354(30959)   on 2013-05-16 18:23:43 (Show Source): You can put this solution on YOUR website!How would I convert 523,000,000 to scientific notation? ---------- = 5.23*10^s s = some exponent Count how many places to move the decimal point to between the 5 and the 2. That's the exponent s
 Inequalities/749594: Simplify 26/391 solutions Answer 456074 by Alan3354(30959)   on 2013-05-16 18:22:21 (Show Source): You can put this solution on YOUR website!Simplify 26/39 ----------- It looks simple to me.
 Proportions/749531: Alex had a 4 mile head start on Mika. How long will it take Mika to catch Alex if Alex traveled at 6 miles per hour and Mika traveled at 8 miles per hour?1 solutions Answer 456051 by Alan3354(30959)   on 2013-05-16 16:24:58 (Show Source): You can put this solution on YOUR website!Alex had a 4 mile head start on Mika. How long will it take Mika to catch Alex if Alex traveled at 6 miles per hour and Mika traveled at 8 miles per hour? ----------------- Mika gains on Alex at 2 mi/hr (8 - 6) 4/2 = 2 hours
 Systems-of-equations/749523: How do you simplify and write in the form of a+bi? (4cis20°)^51 solutions Answer 456048 by Alan3354(30959)   on 2013-05-16 16:21:30 (Show Source): You can put this solution on YOUR website!How do you simplify and write in the form of a+bi? (4cis20°)^5 ------- = 4^5cis100 = 1024cos(100) + 1024sin(100)i
 Trigonometry-basics/749530: Simplifying Basic Trig identities (1+sin^2 x ) (1-sin^2 x )1 solutions Answer 456041 by Alan3354(30959)   on 2013-05-16 16:09:20 (Show Source): You can put this solution on YOUR website!(1+sin^2 x ) (1-sin^2 x ) ------- = 1 - sin^4(x)
 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(30959)   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(30959)   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(30959)   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(30959)   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(30959)   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(30959)   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(30959)   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(30959)   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(30959)   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(30959)   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(30959)   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(30959)   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(30959)   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(30959)   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(30959)   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(30959)   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(30959)   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(30959)   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(30959)   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(30959)   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(30959)   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(30959)   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(30959)   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(30959)   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.