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# Recent problems solved by 'Alan3354'

Alan3354 answered: 31497 problems
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 Travel_Word_Problems/273816: A cabin cruiser traveling with the current went 0 mi in 0 h. Against the current, it took 1 h to travel the same distance. Find the rate of the cabin cruiser in calm water and the rate of the current.1 solutions Answer 199987 by Alan3354(31518)   on 2010-02-24 16:50:53 (Show Source): You can put this solution on YOUR website!b = boat speed c = current ----------- d = rt 0 = (b+c)*0 0 = (b-c)*1 b = c b = 0 c = 0 ----------- After watching for 1 hour, someone called time. There's no current and the boat is not moving.
 Numbers_Word_Problems/273796: what two consecutive odd integers has a product of 323?1 solutions Answer 199971 by Alan3354(31518)   on 2010-02-24 15:51:38 (Show Source): You can put this solution on YOUR website! --> 17 & 19 or -19 & -17
 Numbers_Word_Problems/273782: the sum of three consecutive odd numbers is 315? what are the numbers1 solutions Answer 199967 by Alan3354(31518)   on 2010-02-24 15:38:58 (Show Source): You can put this solution on YOUR website!315/3 = 105, the middle number --> 103, 105, 107
 Problems-with-consecutive-odd-even-integers/273784: the sum of the squares of two consecutive odd positive intergers is 202. find the integers1 solutions Answer 199963 by Alan3354(31518)   on 2010-02-24 15:33:00 (Show Source): You can put this solution on YOUR website!202/2 = 101 which is in the center --> 9 & 11
 Polygons/273761: what is the area of a regular hexagon with the given measurement of 6-inch radius?1 solutions Answer 199953 by Alan3354(31518)   on 2010-02-24 14:45:41 (Show Source): You can put this solution on YOUR website!A regular hexagon consists of 6 equilateral triangles. The area of one is s*s*sqrt(3)/4 For all 6, it's 3s^2sqrt(3)/2 For s = 6, it's 54sqrt(3) =~ 93.53 sq inches
 Volume/273762: My fish tank measures 2 feet by 2 feet by 6 feet. How many gallons of water does my fish tank hold?1 solutions Answer 199951 by Alan3354(31518)   on 2010-02-24 14:36:08 (Show Source): You can put this solution on YOUR website!2*2*6 = 24 cubic feet Convert that to gallons
 Problems-with-consecutive-odd-even-integers/273712: At the championship basketball game the winning score & losing score were consecutive even intergers. If the sum of the scores was 182 what were the scores? I think the answer is 90 & 92 - correct?1 solutions Answer 199950 by Alan3354(31518)   on 2010-02-24 14:35:07 (Show Source): You can put this solution on YOUR website!182/2 = 91, the center between the 2 numbers --> 90 & 92
 Probability-and-statistics/273684: A telemarketer calls people and tries to sell them a subscription to a daily newspaper. On 16% of her calls, there is no answer or the line is busy. She sells subscriptions to 10% of the remaining calls. For what proportion of calls does she make a sale? 1 solutions Answer 199949 by Alan3354(31518)   on 2010-02-24 14:33:42 (Show Source): You can put this solution on YOUR website!A telemarketer calls people and tries to sell them a subscription to a daily newspaper. On 16% of her calls, there is no answer or the line is busy. ------------------ 84% answer (100% - 16%) ----------------------- She sells subscriptions to 10% of the remaining calls. For what proportion of calls does she make a sale? 10% of 84% = 8.4% (1/10 of 84) 8.4%
 Inequalities/273734: how do i solve this problem 3x+2< or equal to 6x+31 solutions Answer 199948 by Alan3354(31518)   on 2010-02-24 14:28:04 (Show Source): You can put this solution on YOUR website!3x+2< or equal to 6x+3 Treat it the same as equal ------------- 3x+2< or equal to 6x+3 3x<=6x+1 -3x<=1 -x<=1/3 x>=1/3 The polarity changes when you multiply by a negative. Or, look at like this: -x<=1/3 Add x 0<=x + 1/3 Subtract 1/3 -1/3<=x Same as above, x>=1/3
 Circles/273748: Circle G has a radius of 22 centimeters. Chord HI is 3 centimeters from the center. What is the length of HI in centimeters?1 solutions Answer 199946 by Alan3354(31518)   on 2010-02-24 14:13:12 (Show Source): You can put this solution on YOUR website!Circle G has a radius of 22 centimeters. Chord HI is 3 centimeters from the center. What is the length of HI in centimeters? ------------------- The radius is the hypotenuse HI/2 = sqrt(22^2 - 3^2) = sqrt(475) HI = 2*5*sqrt(19) = 10sqrt(19) HI =~ 43.5889
 Coordinate-system/273728: How do I find what y is when I have three pints and my slope? Example: find y, (-4,3)and(12,y) slope 1/8 1 solutions Answer 199944 by Alan3354(31518)   on 2010-02-24 14:09:41 (Show Source): You can put this solution on YOUR website!How do I find what y is when I have three pints and my slope? Example: find y, (-4,3)and(12,y) slope 1/8 --------------- I see 2 points, no pints. The slope, m = diffy/diffx m = (3-y)/(-4-12) = 1/8 (3-y)/-16 = 1/8 3-y = -2 y = 5
 Problems-with-consecutive-odd-even-integers/273730: one number 3 times more than an integer is 12 more than a consective integer1 solutions Answer 199938 by Alan3354(31518)   on 2010-02-24 13:54:19 (Show Source): You can put this solution on YOUR website!one number 3 times more than an integer is 12 more than a consective integer --------------------- 3 times more is 4 times. 4n = n+1+ 12 3n = 13 n = 13/3 --------- 3 times more is not 3 times as much. If you think it is, then 1 time more has to be the same as 1x, so it isn't more. eg, 1 time more than 5 is 10. 2 times more than 5 is 15. It's the difference between English and Gibberish.
 real-numbers/273707: how do i prove that 7 is an irrational number? 1 solutions Answer 199936 by Alan3354(31518)   on 2010-02-24 13:46:47 (Show Source): You can put this solution on YOUR website!You can't, it isn't.
 Polynomials-and-rational-expressions/273615: Solve using a graphing calculator and its calc-intersect feature. Then solve algebraically and decide which method you prefer to use. y = 1.2x – 32.7, y = -0.7 + 46.15 I need help in solving these. I do not know what a graphing calculator is or how to write it or to graph it in excel or word. 1 solutions Answer 199914 by Alan3354(31518)   on 2010-02-24 12:00:56 (Show Source): You can put this solution on YOUR website!dl the FREE graph software at http://www.padowan.dk.com
 Money_Word_Problems/273679: Here is my problem and I don't know where to begin. Mei earns $2 less than three times as much as Olivia. Shane earnes twice as much as Mei. Together they earn$594 per week. How much does each person earn per week?1 solutions Answer 199906 by Alan3354(31518)   on 2010-02-24 11:26:17 (Show Source): You can put this solution on YOUR website!Mei earns $2 less than three times as much as Olivia. Shane earnes twice as much as Mei. Together they earn$594 per week. How much does each person earn per week? ------------- L = Olivia's amount, the O could be confused with zero. M = 3L - 2 S = 2M L + M + S = 594 ---------------- S = 2M --> S = 6L - 4 ---------------------- L + M + S = 594 L + (3L-2) + (6L-4) = 594 10L - 6 = 594 10L = 600 L = $60 M =$178 S = \$356
 Graphs/273653: Which ordered pair is a solution of the equation 4x − 2y = 16?1 solutions Answer 199856 by Alan3354(31518)   on 2010-02-24 08:53:24 (Show Source): You can put this solution on YOUR website!There are 100s of them. No, wait, 1000s!!! oooh, it's an infinite number of them. (0,-8) is one (100,192) is another
 Angles/273654: If the measure of one angle is 4x and the measure of its complement is 2x, what is the value of x1 solutions Answer 199855 by Alan3354(31518)   on 2010-02-24 08:51:07 (Show Source): You can put this solution on YOUR website!If the measure of one angle is 4x and the measure of its complement is 2x, what is the value of x -------------- An angle and its complement add to 90 degs. 4x + 2x = 90
 Travel_Word_Problems/273355: If a boat uses 16 gallons of gas to go 80 miles, how many miles will it travel on 64 gallons of gas?1 solutions Answer 199721 by Alan3354(31518)   on 2010-02-23 17:16:02 (Show Source): You can put this solution on YOUR website!It's 4 times as much gas, it'll go 4 times are far.
 Quadratic_Equations/273349: Analyzing the motion of a projectile. A projectile is fired from a cliff 200 feet above the water at an inclination of 45 degrees to the horizontal, with a muzzle velocity of 50 feet per second. The height h of the projectile above the water is given by h (x)= -32 x^2/ (50)^2 + x+ 200 When the height of the projectile is 100 feet above the water, how far is it from the cliff?1 solutions Answer 199713 by Alan3354(31518)   on 2010-02-23 16:54:48 (Show Source): You can put this solution on YOUR website!Analyzing the motion of a projectile. A projectile is fired from a cliff 200 feet above the water at an inclination of 45 degrees to the horizontal, with a muzzle velocity of 50 feet per second. The height h of the projectile above the water is given by h (x)= -32 x^2/ (50)^2 + x+ 200 When the height of the projectile is 100 feet above the water, how far is it from the cliff? ---------------------- h (x)= -32 x^2/ (50)^2 + x+ 200 Clarify the function. Is it ?? Doesn't look right.
 Numbers_Word_Problems/273324: the sum of four consecutive whole number is 150 a. let x represent the first number. write expression to represent the other three numbers. b. write and solve an equation to find the four numbers1 solutions Answer 199685 by Alan3354(31518)   on 2010-02-23 15:07:38 (Show Source): You can put this solution on YOUR website!the sum of four consecutive whole number is 150 a. let x represent the first number. write expression to represent the other three numbers. x+1, x+2, x+3 -------------------------- b. write and solve an equation to find the four numbers x + x+1 + x+2 + x+3 = 150 4x + 6 = 150 x = 36 --> 36, 37, 38, 39 ------------------- ------------------- If you have time to waste do it as above. If not: 150/4 = 37.5, the center of the 4 numbers --> 36, 37, 38, 39
 Linear-equations/273309: Find an equation of the line containing the given pair of points. (1,4) and (3,5) I found m first 5-4/3-1 = 1/2 Then through other sources told me to use this formula y-y^1=m(x-x^1) y-4=1/2(x-1) y-4=1/2x(1/2)(-1/1) y=1/2x-1/2+4 y=1/2x-2 But the answer is y=1/2x+7/2 Where did I go wrong? Please could you show me how do this by step by step? Thank you JPA 1 solutions Answer 199677 by Alan3354(31518)   on 2010-02-23 14:33:54 (Show Source): You can put this solution on YOUR website!Find an equation of the line containing the given pair of points. (1,4) and (3,5) I found m first 5-4/3-1 = 1/2 Then through other sources told me to use this formula y-y^1=m(x-x^1) y-4=1/2(x-1) --------------- y-4 = x/2 - 1/2 y = x/2 + 7/2 ---------------- y-4=1/2x(1/2)(-1/1) ??? y=1/2x-1/2+4 This is y = (1/2)x - (1/2) + 4 = (1/2)x + 7/2 -------------- A better method, after finding the slope, is to use: y = mx + b and find b. (Use either point) 4 = (1/2)*1 + b b = 7/2 --> y = (1/2)x + 7/2 -------------------- The lack of parentheses is confusing, even to you. y=1/2x-2 But the answer is y=1/2x+7/2
 Trigonometry-basics/273301: 4x +3y = -6 Could someone help me solve?1 solutions Answer 199671 by Alan3354(31518)   on 2010-02-23 14:01:28 (Show Source): You can put this solution on YOUR website!Solve for what?
 Percentage-and-ratio-word-problems/273138: A board is being cut into 3 pieces. the board was orginially 12 1/3 ft. long. the first piece cut off was 7 2/5 ft long. the second piece was 3 1/8 ft long. how long is the piece that is left?1 solutions Answer 199639 by Alan3354(31518)   on 2010-02-23 11:52:05 (Show Source): You can put this solution on YOUR website! 12 ft 4 in =11 ft 16 in -(7 ft 4.8 in) -------------- 4 ft 11.2 in -(3 ft 1.5 in) -------------- 1 ft 9.7 in ans. ---------------- ---------------- Soooo much easier than the metric system, right?
 Complex_Numbers/273248: Hello, I am trying to figure out how to write this function in vertex form. The question is: -x^2+2 any help would be appreciated :)1 solutions Answer 199638 by Alan3354(31518)   on 2010-02-23 11:41:01 (Show Source): You can put this solution on YOUR website!That's not a function, there's no equal sign.
 Travel_Word_Problems/273239: How long would it take someone running 5 mph to go around a 1260 foot track ?1 solutions Answer 199634 by Alan3354(31518)   on 2010-02-23 11:14:20 (Show Source): You can put this solution on YOUR website!5 mph = 26400 ft/hr 1260/26400 =~ 0.04772727... hours
 Complex_Numbers/273218: Help me solve the equation (1-x)^5 =x^51 solutions Answer 199633 by Alan3354(31518)   on 2010-02-23 11:08:43 (Show Source): You can put this solution on YOUR website!(1-x)^5 =x^5 Then 1-x = x 2x = 1 x = 1/2
 Radicals/273232: Is the answer for this problem SQRT(5)\sqrt(11) = sqrt(55)\111 solutions Answer 199625 by Alan3354(31518)   on 2010-02-23 10:34:47 (Show Source): You can put this solution on YOUR website!sqrt(5)/sqrt(11) does = sqrt(55)/11
 Travel_Word_Problems/273180: When it is noon eastern standard time (EST) in New York City, it is 9:00 AM. Pacific standard time (PST) in San Francisco. A plane took off from New York City at noon EST and arrived in San Francisco at 4:00 P.M. PST on the same day. If a second plane left San Francisco at noon PST and took exactly the same amount of time for the trip, what was the plane’s arrival time (EST) in New York City? (A)10:00 P.M.EST (B) 9:00 P.M. EST (C) 7:00 P.M. EST (D) 6:00 P.M. EST (E) 4:00 P.M. EST 1 solutions Answer 199622 by Alan3354(31518)   on 2010-02-23 09:52:05 (Show Source): You can put this solution on YOUR website!When it is noon eastern standard time (EST) in New York City, it is 9:00 AM. Pacific standard time (PST) in San Francisco. A plane took off from New York City at noon EST and arrived in San Francisco at 4:00 P.M. PST on the same day. If a second plane left San Francisco at noon PST and took exactly the same amount of time for the trip, what was the plane’s arrival time (EST) in New York City? ----------------- Step 1, convert all times to GMT, Greenwich Mean Time. GMT = EST + 5 GMT = PST + 8 ---------------------------------- A plane took off from New York City at 1700Z and arrived in San Francisco at 0000Z on the same day. If a second plane left San Francisco at 2000Z and took exactly the same amount of time for the trip, what was the plane’s arrival time in New York City? ------------------ ------------------ The plane from NY to SFO took 7 hours (0000 - 1700). 2000 + 700 = 0300Z (the next day), for the arrival in NY. 0300Z = 10 PM EST the same day A (A)10:00 P.M.EST (B) 9:00 P.M. EST (C) 7:00 P.M. EST (D) 6:00 P.M. EST (E) 4:00 P.M. EST ------------------ Aviation does not use local time, they use GMT, and call it "Zulu time" from the Z used to designate it. This keeps all airplanes and ATC (Air Traffic Control) using the same times world-wide. There's no AM and PM used either, obviously. Most countries in the world use a 24 hour clock, not the AM and PM foolishness.
 Quadratic_Equations/273064: p^2 +13p -30 =01 solutions Answer 199561 by Alan3354(31518)   on 2010-02-22 22:34:02 (Show Source): You can put this solution on YOUR website!p^2 +13p -30 =0 ----------------- (p+15)*(p-2) = 0 p = 2 p = -15
 Sequences-and-series/273097: if X represents the first of two consecutive integers,write an expression representing the second integer1 solutions Answer 199546 by Alan3354(31518)   on 2010-02-22 21:42:53 (Show Source): You can put this solution on YOUR website!X+1
 Polynomials-and-rational-expressions/153108: simplify: (6x+7)(2x+6)1 solutions Answer 199530 by Alan3354(31518)   on 2010-02-22 19:42:51 (Show Source): You can put this solution on YOUR website!Man, more and more foxy chicks are solving problems. ------- (6x+7)(2x+6) =