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# Recent problems solved by 'Alan3354'

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 Polynomials-and-rational-expressions/753982: How can I factor the polynomial? t^2 + 4z^2 1 solutions Answer 458702 by Alan3354(31516)   on 2013-05-30 16:23:08 (Show Source): You can put this solution on YOUR website!How can I factor the polynomial? t^2 + 4z^2 --------- It can't be factored It is prime.
 Travel_Word_Problems/753977: My friend has 4 miles left before he logs 40,000 lifetime miles run. If he had run consecutively, starting in Michigan, is there a way to calculate what country he would now be in. I know he would be on his second trip around the world, but would like to figure where he would be. Thank you Linda1 solutions Answer 458701 by Alan3354(31516)   on 2013-05-30 16:10:38 (Show Source): You can put this solution on YOUR website!My friend has 4 miles left before he logs 40,000 lifetime miles run. If he had run consecutively, starting in Michigan, is there a way to calculate what country he would now be in. I know he would be on his second trip around the world, but would like to figure where he would be. ---------------- It depends on direction. Use a globe and a string to find possible end points, preferably on the dirt.
 absolute-value/753975: solve the inequality : 1/(|x|-3)>2 tank you 1 solutions Answer 458700 by Alan3354(31516)   on 2013-05-30 16:08:08 (Show Source): You can put this solution on YOUR website!1/(|x|-3)>2 |x|-3 > 1/2 |x| > 7/2 x > 7/2 Answer 1 ---------- -x > 7/2 x < -7/2 Answer 2
 Polynomials-and-rational-expressions/753962: Factor the trinomial 3x^2+14x-51 solutions Answer 458697 by Alan3354(31516)   on 2013-05-30 15:53:00 (Show Source):
 Polynomials-and-rational-expressions/753969: Please help factor completely 3x^2+14x-5=1 solutions Answer 458695 by Alan3354(31516)   on 2013-05-30 15:49:31 (Show Source): You can put this solution on YOUR website!Please help factor completely 3x^2+14x-5= ------------- It'll be (3x + a)*(x + b) Find a & b Note that the signs of a & b are different --> a*b = -5 ================== The only way to factor is to do it, there's no method. Someone doing it for you is not helpful.
 Average/753933: How many questions would I need to get right to get a 70% on a 76 question test1 solutions Answer 458694 by Alan3354(31516)   on 2013-05-30 15:46:36 (Show Source): You can put this solution on YOUR website!How many questions would I need to get right to get a 70% on a 76 question test -------------- (70/100)*76 = 53.2 right ---- 53/76 =~ 69.74% 54/76 =~ 71.05% ------------------ 54, unless the % is rounded up.
 Geometry_Word_Problems/753939: How do I find the area of a rectangle that measures 221 feet wide by 275 feet in length1 solutions Answer 458692 by Alan3354(31516)   on 2013-05-30 15:40:37 (Show Source): You can put this solution on YOUR website!How do I find the area of a rectangle that measures 221 feet wide by 275 feet in length ------------- Multiply length * width --> square feet, since both dimensions are in feet
 Average/753957: What eight numbers have a mean of 551 solutions Answer 458691 by Alan3354(31516)   on 2013-05-30 15:36:17 (Show Source): You can put this solution on YOUR website!What eight numbers have a mean of 55 ------------ Any 8 numbers that add to 8*55 = 440. eg, 0,0,0,0,0,0,0,440 or, 1,2,3,4,5,6,7,412
 Percentage-and-ratio-word-problems/753947: What percentage of 4 weeks is 7 days1 solutions Answer 458690 by Alan3354(31516)   on 2013-05-30 15:34:32 (Show Source): You can put this solution on YOUR website!What percentage of 4 weeks is 7 days -------- 1/4 = 25%
 Polynomials-and-rational-expressions/753964: please Factor the trinomial x^3-11 solutions Answer 458689 by Alan3354(31516)   on 2013-05-30 15:33:27 (Show Source): You can put this solution on YOUR website!please Factor the trinomial x^3-1 ----------- It's a binomial. 2 terms, not 3. ---- It's a difference of 2 cubes. They all factor the same way (a difference of 2 cubes, that is). --------
 Probability-and-statistics/753948: A letter of the alphabet is selected at random. What is the probability that the letter is A or Z? 26 letter in the alphabet 2/26=1/13???1 solutions Answer 458688 by Alan3354(31516)   on 2013-05-30 15:29:48 (Show Source): You can put this solution on YOUR website!A letter of the alphabet is selected at random. What is the probability that the letter is A or Z? 26 letter in the alphabet 2/26=1/13??? ============ That's right.
 test/753898: Solve each equation or inequality . Please and thank you. 1. |y|=3 2. | n+2 | = 4 3. 4+|r+2|=7 4. |x+3|=-2 5. |3d+5| < -2 6. |2x-7| -1>0 7. 4|k+5| > 81 solutions Answer 458672 by Alan3354(31516)   on 2013-05-30 11:21:42 (Show Source): You can put this solution on YOUR website!1. |y|=3 2. | n+2 | = 4 3. 4+|r+2|=7 |r+2| = 3 -------- r+2 = 3 r = 1 ----- r+2 = -3 r = -1 -------- With equations, you can take that "shortcut,", but not with inequalities. ------- 4. |x+3|=-2 5. |3d+5| < -2 3d+5 < -2 3d < -7 d < -7/3 Answer #1 -------- With inequalities, you have to negate what's in the ABS -(3d+5) < -2 3d+5 > 2 **** Note change of polarity to > 3d > -3 d > -1 Answer #2 ------------- 6. |2x-7| -1 > 0 7. 4|k+5| > 8 -------------------- I did the most complex ones. The others are similar or simpler. I'll be glad to check your work, or answer any questions you have.
 test/753891: Solve each equation or inequality 1. |y|=3 2. | n+2 | = 4 3. 4+|r+2|=7 4. |x+3|=-2 5. |3d+5| < -2 6. |2x-7| -1>0 7. 4|k+5| > 81 solutions Answer 458671 by Alan3354(31516)   on 2013-05-30 10:57:54 (Show Source):
 test/753893: 1 solutions Answer 458669 by Alan3354(31516)   on 2013-05-30 10:51:44 (Show Source):
 Travel_Word_Problems/753843: Two cars A and B starts from rest at the same time and same point. Car A moves north at 5 m/second square for 5 sec and then moves at uniform velocity. Car B moves south accelerating 4m/second square for 8 second and then moves at uniform velocity. Calculate the distance between both the car after 20seconds1 solutions Answer 458668 by Alan3354(31516)   on 2013-05-30 10:50:44 (Show Source): You can put this solution on YOUR website!Two cars A and B starts from rest at the same time and same point. Car A moves north at 5 m/second square for 5 sec and then moves at uniform velocity. Car B moves south accelerating 4m/second square for 8 second and then moves at uniform velocity. Calculate the distance between both the car after 20seconds ---------------- Car A's distance for the 1st 5 seconds = at^2/2 = 5*5/2 = 12.5 meters Then it's going a*t = 5*5 m/sec for 15 seconds = 375 meters. In 20 seconds it goes 387.5 meters. -------------- Car B: at^2/2 = 4*8/2 = 16 meters v = at = 4*8 = 32 m/sec for the remaining 12 seconds s = 16 + 32*12 = 400 meters ------- Add the distances when going in opposite directions s = 787.5 meters ===================== PS Acceleration is m/sec/sec, not m/sec.
 test/753865: Solve each equation or inequality. If there is no solution, write no solution 1. |y|=3 2. | n+2 | = 4 3. 4+|r+2|=7 4. |x+3|=-2 5. |3d+5| < -2 6. |2x-7| -1>0 7. 4|k+5| > 81 solutions Answer 458666 by Alan3354(31516)   on 2013-05-30 10:39:32 (Show Source):
 test/753866: Solve each equation or inequality If there is no solution, write no solution. 1. |y|=3 2. | n+2 | = 4 3. 4+|r+2|=7 4. |x+3|=-2 5. |3d+5| < -2 6. |2x-7| -1>0 7. 4|k+5| > 81 solutions Answer 458665 by Alan3354(31516)   on 2013-05-30 10:37:55 (Show Source):
 test/753875: Solve each equation or inequality. If there is no solution, write no solution? 1. |y|=3 2. | n+2 | = 4 3. 4+|r+2|=7 4. |x+3|=-2 5. |3d+5| < -2 6. |2x-7| -1>0 7. 4|k+5| > 81 solutions Answer 458664 by Alan3354(31516)   on 2013-05-30 10:37:21 (Show Source):
 test/753876: Solve each equation or inequality & If there is no solution, write no solution. 1. |y|=3 2. | n+2 | = 4 3. 4+|r+2|=7 4. |x+3|=-2 5. |3d+5| < -2 6. |2x-7| -1>0 7. 4|k+5| > 81 solutions Answer 458663 by Alan3354(31516)   on 2013-05-30 10:36:56 (Show Source):
 test/753877: Solve each equation or inequality &If there is no solution, write no solution. 1. |y|=3 2. | n+2 | = 4 3. 4+|r+2|=7 4. |x+3|=-2 5. |3d+5| < -2 6. |2x-7| -1>0 7. 4|k+5| > 81 solutions Answer 458662 by Alan3354(31516)   on 2013-05-30 10:36:27 (Show Source):
 test/753878: Solve each equation or inequality. If there is no solution, write no solution.? 1. |y|=3 2. | n+2 | = 4 3. 4+|r+2|=7 4. |x+3|=-2 5. |3d+5| < -2 6. |2x-7| -1>0 7. 4|k+5| > 81 solutions Answer 458661 by Alan3354(31516)   on 2013-05-30 10:35:56 (Show Source):
 test/753879: Solve each equation or inequality. 1. |y|=3 2. | n+2 | = 4 3. 4+|r+2|=7 4. |x+3|=-2 5. |3d+5| < -2 6. |2x-7| -1>0 7. 4|k+5| > 81 solutions Answer 458660 by Alan3354(31516)   on 2013-05-30 10:35:16 (Show Source): You can put this solution on YOUR website!It's entered 5 times. That's 4 too many.
 Rate-of-work-word-problems/753880: Q:Thomas paints a house in 6 days. Joe paints the same house in 12 days. If both work together to paint the same house, how much time will they take?1 solutions Answer 458659 by Alan3354(31516)   on 2013-05-30 10:34:21 (Show Source): You can put this solution on YOUR website!Q:Thomas paints a house in 6 days. Joe paints the same house in 12 days. If both work together to paint the same house, how much time will they take? -------------- 4 days
 Triangles/753857: In RST, RS = 15, RT = 12, and ST = 17. Which angle of RST has the smallest measure?1 solutions Answer 458653 by Alan3354(31516)   on 2013-05-30 10:00:35 (Show Source): You can put this solution on YOUR website!In RST, RS = 15, RT = 12, and ST = 17. Which angle of RST has the smallest measure? ------------ The smallest angle is opposite the shortest side.
 Numbers_Word_Problems/753867: sir, can you answer it and please give me how the solution is thanks :) "The sum of two integers is 63. if one of the integers is three more than twice the other, what are the two integers?"1 solutions Answer 458652 by Alan3354(31516)   on 2013-05-30 09:55:01 (Show Source): You can put this solution on YOUR website!"The sum of two integers is 63. if one of the integers is three more than twice the other, what are the two integers?" ------------ n = 1 integer 2n + 3 is the other one. ----- n + 2n + 3 = 63 3n + 3 = 63 3n = 60 n = 20 ------- 63 - 20 = 43 ============== 20 & 43
 Linear-systems/753850: On graph paper, graph the two lines associated with the equations in this system of equations. 3x - 3y = 12 4y - 8x = -16 Determine the solution to the system and check your solution in both equations. Input the solution to the system, putting the solution in ordered pair (x, y) form.1 solutions Answer 458650 by Alan3354(31516)   on 2013-05-30 08:54:18 (Show Source): You can put this solution on YOUR website!On graph paper, graph the two lines associated with the equations in this system of equations. 3x - 3y = 12 4y - 8x = -16 Determine the solution to the system and check your solution in both equations. Input the solution to the system, putting the solution in ordered pair (x, y) form. ---------------- 3x - 3y = 12 --> x - y = 4 y = x - 4 --- Pick 2 values for x and find y. Plot the 2 points and draw a line thru them. =========================================== 4y - 8x = -16 --> y = 2x - 4 ---- Do the same for this one. ---- The solution of the system is the point of intersection.
 Radicals/753827: (1+tanA^tanA)(1- sinA)(1+ cosA)1 solutions Answer 458649 by Alan3354(31516)   on 2013-05-30 08:43:47 (Show Source): You can put this solution on YOUR website!(1+tanA^tanA)(1- sinA)(1+ cosA) --------------- Is it ?
 test/753826: find the largest 5digit number which is exactly divisible by 401 solutions Answer 458648 by Alan3354(31516)   on 2013-05-30 08:37:31 (Show Source): You can put this solution on YOUR website! find the largest 5digit number which is exactly divisible by 40 ---------- = 100000 - 40
solve for x.
(1/2x+1)^2 + (x)^2 = (34)^2
1 solutions

Answer 458577 by Alan3354(31516)   on 2013-05-29 21:02:45 (Show Source):
You can put this solution on YOUR website!
solve for x.
(1/2x+1)^2 + (x)^2 = (34)^2
----------------------------

 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=92416 is greater than zero. That means that there are two solutions: . Quadratic expression can be factored: Again, the answer is: 30, -30.8. Here's your graph:

===========
x = 30
x = -30.8

 Linear-equations/753726: find the slope of the line passing through the points (5,8) and (6,12)1 solutions Answer 458550 by Alan3354(31516)   on 2013-05-29 18:35:12 (Show Source): You can put this solution on YOUR website!find the slope of the line passing through the points (5,8) and (6,12) ----------- slope = (change in y)/(change in x)