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# Recent problems solved by 'Alan3354'

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 Quadratic_Equations/269808: Give exact and approximate solutions (x + 4)^2 = 9 I am unsure of how to solve1 solutions Answer 197680 by Alan3354(31518)   on 2010-02-15 13:42:44 (Show Source): You can put this solution on YOUR website!(x + 4)^2 = 9 Take the sqrt of both sides: x+4 = 3, x+4 = -3
 Quadratic_Equations/269830: Please help me solve the equation: .1 solutions Answer 197678 by Alan3354(31518)   on 2010-02-15 13:39:28 (Show Source): You can put this solution on YOUR website!Please help me solve the equation: . -------------- You can expand it, but there's quicker way: ((3f-1) + 5)*(3f-1) = 0 (3f+4)*(3f-1) = 0 f = -4/3 f = 1/3
 Linear-systems/269789: x-3y+7z+w=11 2x+4y+6z-3w=-3 3x+2y+z+2w=19 4x+y-3z+w=22 Systems of linear equations in three variables1 solutions Answer 197663 by Alan3354(31518)   on 2010-02-15 11:59:56 (Show Source): You can put this solution on YOUR website!x-3y+7z+w=11 2x+4y+6z-3w=-3 3x+2y+z+2w=19 4x+y-3z+w=22 ---------------- Looks like 4. Determinant = -535 w = 3 x = 5 y = -1 z = 0 ------- I made an Excel sheet to do these. Doing them manually is tedious and error-prone. There are sites that will solve up to a 10 by 10 that I've seen.
 Numbers_Word_Problems/269776: the product of 5 and 3 more than twice a number is 85. What is the number ? I dont know what this means 1 solutions Answer 197659 by Alan3354(31518)   on 2010-02-15 11:18:03 (Show Source): You can put this solution on YOUR website!the product of 5 and 3 more than twice a number is 85. What is the number ? ----------------- n = the "some number" Twice a number + 3 = 2n+3 ----------------- 5 times 2n+3 = 85 5*(2n+3) = 85 n+3 = 17 2n = 14 n = 7
 Polygons/269771: what is the internal and external angle of a regular 16 sided polygon?1 solutions Answer 197657 by Alan3354(31518)   on 2010-02-15 11:01:08 (Show Source): You can put this solution on YOUR website!The easiest way to do these is to use the fact that EXTERIOR angles always total 360 degs, for all polygons. ----------------- 360/16 = 22.5 degs exterior 180 - 22.5 = 157.5 degs interior
 Circles/269763: The radius of a sphere is measured to be 9 inches, while its true length is 807 inches. Find the percent of error in: a. the linear measure rounded to the nearest tenth B. the volume rounded to the nearest tenth1 solutions Answer 197656 by Alan3354(31518)   on 2010-02-15 10:54:38 (Show Source): You can put this solution on YOUR website!What is "true length", or any length, of a sphere?
 Equations/269761: Solve the equation for y 2x+10y=3 Trying to find the slope by solving the equation for y1 solutions Answer 197655 by Alan3354(31518)   on 2010-02-15 10:34:30 (Show Source): You can put this solution on YOUR website! Solve the equation for y 2x+10y=3 Trying to find the slope by solving the equation for y -------------------- 2x + 10y = 3 10y = -2x + 3 y = (-1/5)x + 3/10 slope, m = -1/5
 Travel_Word_Problems/269745: How long, in minutes would it take for a train to travel a distance of 50 kilometres, if its speed was 33 metres per second [120 kph] and how would you go about writing it on paper.1 solutions Answer 197654 by Alan3354(31518)   on 2010-02-15 10:16:55 (Show Source): You can put this solution on YOUR website!50 km = 50000 meters -------------- 33 m/sec = 33*60 = 1980 m/minute 50000 meters/1980 m/min =~ 25.25 minutes. ------------------- I don't know why the 120 kph is mentioned. To write it on paper, I'd use a pen or a pencil.
 Parallelograms/269744: M slove for or y or both. taxi is a parallelogram1 solutions Answer 197652 by Alan3354(31518)   on 2010-02-15 10:12:35 (Show Source): You can put this solution on YOUR website!What taxi?
 Polynomials-and-rational-expressions/269741: how do you solve 5x2squared+9x-181 solutions Answer 197649 by Alan3354(31518)   on 2010-02-15 09:50:17 (Show Source): You can put this solution on YOUR website!You can't, it's not an equation. There's no equal sign.
 Square-cubic-other-roots/269735: How do I find a real or imaginary solution to w^2 = -225?1 solutions Answer 197648 by Alan3354(31518)   on 2010-02-15 09:49:09 (Show Source): You can put this solution on YOUR website! w = +/- 15i
 Rational-functions/269728: The formula t=2pie square root of L over 9.8 can be used to estimate the number of seconds t it takes a pendulum of lenth L meters to make one complete swing. Graph the equation on a graphing calculator. Then use the graph to estimate the values of t for pendulums of lengths 1.5 meters and 2.5 meters. 1 solutions Answer 197645 by Alan3354(31518)   on 2010-02-15 09:22:25 (Show Source): You can put this solution on YOUR website!The formula t=2pie square root of L over 9.8 can be used to estimate the number of seconds t it takes a pendulum of lenth L meters to make one complete swing. Graph the equation on a graphing calculator. Then use the graph to estimate the values of t for pendulums of lengths 1.5 meters and 2.5 meters. --------------- It's the Greek letter pi, not the dessert, pie. --------------- t in seconds, L in meters ----------------- t =~ 0.785 seconds ------------------
 Rational-functions/269731: Graph each function on the same graph y=square root of x-6 y=square root of x+8 y=2/3 square root of x y=3square root of x-2+51 solutions Answer 197642 by Alan3354(31518)   on 2010-02-15 09:06:41 (Show Source): You can put this solution on YOUR website!dl the FREE graph software at http://www.padowan.dk.com
 Equations/269732: Sven can type 32 words per minute. How many words would he type in 1/3 hour?1 solutions Answer 197641 by Alan3354(31518)   on 2010-02-15 09:05:45 (Show Source): You can put this solution on YOUR website!Hint: 1/3 hour = 20 minutes
 Graphs/269715: Draw a graph of the following: f(x)= {x^2+3x+2/x+1, for x≠-1 {7, for x=-11 solutions Answer 197639 by Alan3354(31518)   on 2010-02-15 08:57:15 (Show Source): You can put this solution on YOUR website!dl the FREE software from http://www.padowan.dk.com
 Coordinate-system/269719: what is the standard form of m=-1/5 b=-5 1 solutions Answer 197638 by Alan3354(31518)   on 2010-02-15 08:51:12 (Show Source): You can put this solution on YOUR website!what is the standard form of m=-1/5 b=-5 ------------------ y = -x/5 - 5 is slope-intercept form x + 5y = -25 is standard form
 Probability-and-statistics/269723: If ther are 5 kids and b=boy and g=girl, i know therre are 32 probabilities but I can't figure them out. What are they?1 solutions Answer 197637 by Alan3354(31518)   on 2010-02-15 08:48:06 (Show Source): You can put this solution on YOUR website!There are 32 possible combinations of 5 objects, each a 1 or 2 chance. What do you want to figure out?
 Length-and-distance/269609: In navigational terms, a bearing is defined as the number of degrees a direction is from due north clockwise. If a plane flying 120 mph has flown 1 hour at a bearing of 32°, how far has it flown in a horizontal direction?1 solutions Answer 197589 by Alan3354(31518)   on 2010-02-14 20:04:27 (Show Source): You can put this solution on YOUR website!Horizontal is a bearing of 090º = due east The angle with the horizontal is 90 - 32 = 58º Horizontal distance = 120*cos(58) =~ 63.59 miles ---------------- The terminology used is not good. Plane flight that is not vertical (changing in altitude) is horizontal, regardless of heading.
 Mixture_Word_Problems/269614: a chemist wants to make 50ml of a 16% acid solution by mixing a 13% acid solution and an 18% acid solution. how many ml of each solution should the chemist use? i set up the equation as followed but i dont know if it is correct .16(20)= .13x +.18x, then i got 3.2=.05x then i divided and got 64 ml x=64ml mvprincess_87@yahoo.com1 solutions Answer 197587 by Alan3354(31518)   on 2010-02-14 20:00:25 (Show Source): You can put this solution on YOUR website!a chemist wants to make 50ml of a 16% acid solution by mixing a 13% acid solution and an 18% acid solution. how many ml of each solution should the chemist use? i set up the equation as followed but i dont know if it is correct .16(20)= .13x +.18x, then i got 3.2=.05x then i divided and got 64 ml x=64ml ---------------- 64 is more than 50 ------------------ .16*50 = .13*x + .18*(50-x) 800 = 13x + 900 - 18x -100 = -5x x = 20 ml of 13% 30 ml of 18%
 Linear-systems/269393: Biking into the wind on a flat path, a bicyclist takes 5 hours to travel 30 miles. The return bike takes 3 hours. The wind speed remains constant during the trip. a. Find the bicyclist's average speed for each leg of the trip. b. Write a system of linear equations that represent the situation. c. What is the bicyclist's average speed in still air? What is the speed of the wind?1 solutions Answer 197583 by Alan3354(31518)   on 2010-02-14 19:55:56 (Show Source): You can put this solution on YOUR website!What connection is there between wind speed and bicycle speed? It's not possible to calculate wind speed from this info.
 Graphs/269568: 3x=-y+31 solutions Answer 197553 by Alan3354(31518)   on 2010-02-14 17:50:07 (Show Source): You can put this solution on YOUR website!Thx for sharing. Do you have a question?
 Equations/269564: (6/y+4)+1=(5/2y+8) I thought that the next step would look like: 6(2y+8)+(y+4)(2y+8)=5(y+4) but the answer in the back of the book does not correspond with this once I finish solving it. The final answer should be -15/2.1 solutions Answer 197549 by Alan3354(31518)   on 2010-02-14 17:20:51 (Show Source): You can put this solution on YOUR website!6/y+4)+1=(5/2y+8) I thought that the next step would look like: 6(2y+8)+(y+4)(2y+8)=5(y+4) but the answer in the back of the book does not correspond with this once I finish solving it. The final answer should be -15/2. ---------------- The DEN of the right side is 2x the one on the left. ------------- 6/y+4)+1=(5/2y+8) Multiply all terms by the right side DEN 2y+8 12 + 2y+8 = 5 2y + 20 = 5 2y = -15 y = -15/2
 logarithm/269538: Express ln(x) in terms of log(x)1 solutions Answer 197546 by Alan3354(31518)   on 2010-02-14 16:25:05 (Show Source): You can put this solution on YOUR website!ln(x) = log(x)*log(e) =~ 2.30258*log(x) -------------------- If the base is smaller, the log is bigger. Use that to check.
 Percentage-and-ratio-word-problems/269525: A \$52 sweater is marked down 25%. What is the new price?1 solutions Answer 197545 by Alan3354(31518)   on 2010-02-14 16:22:06 (Show Source): You can put this solution on YOUR website!\$39
Equations/269540: Solve,
x^2+18x-4=0
1 solutions

Answer 197544 by Alan3354(31518)   on 2010-02-14 16:20:21 (Show Source):
You can put this solution on YOUR website!
 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=340 is greater than zero. That means that there are two solutions: . Quadratic expression can be factored: Again, the answer is: 0.219544457292887, -18.2195444572929. Here's your graph:

 Rectangles/269523: I have a rectangle with four un known angles and one measure of 106 degrees. What are the measures of the other four angles?1 solutions Answer 197534 by Alan3354(31518)   on 2010-02-14 15:53:19 (Show Source): You can put this solution on YOUR website!There's no way to know, unless you mean the sum of the other 4. If so, the sum of the angles of a polygon with 5 sides and 5 angles is 540º The other 4 would add to 434º
 Linear-equations/269490: ok im doing solving linear systems by graphs and tables the question is: 5x+3y=6 x-4y=91 solutions Answer 197528 by Alan3354(31518)   on 2010-02-14 15:34:33 (Show Source): You can put this solution on YOUR website!So what's your plan? And, what is the question? I don't see one.
 Miscellaneous_Word_Problems/269492: If an object is thrown upward with an initial velocity of 96 ft/sec, its height after t sec is given by h = 96t - 16t2. Find the number of seconds before the object hits the ground.1 solutions Answer 197521 by Alan3354(31518)   on 2010-02-14 15:13:38 (Show Source): You can put this solution on YOUR website!It impacts when h = 0 96t - 16t^2 = 0
 Geometry_Word_Problems/269380: The measure of the angles of a triangle are three consecutive even integers. Find the measure of each angle.1 solutions Answer 197520 by Alan3354(31518)   on 2010-02-14 15:12:30 (Show Source): You can put this solution on YOUR website!The 3 angles add to 180. 180/3 = 60, the middle number. --> 58, 60, 62
 test/269433: What is the length of an aluminum rod at 65°C if its length at 15°C is 1.2 meters? A. 0.001386 meter B. 0.00180 meter C. 1.201386 meters D. 1.214855 meters 1 solutions Answer 197469 by Alan3354(31518)   on 2010-02-14 12:20:26 (Show Source): You can put this solution on YOUR website!You'll have to supply the coefficient of expansion.