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# Recent problems solved by 'Alan3354'

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 Linear-equations/741262: please help me to solve this question what is the slope of 4x-2y=0 ?1 solutions Answer 451934 by Alan3354(30993)   on 2013-04-24 10:05:21 (Show Source): You can put this solution on YOUR website!what is the slope of 4x-2y=0 ? ------------ Solve for y. then the slope is the coefficient of x
 Quadratic-relations-and-conic-sections/741209: Write the binomial expansion of the expression: (4x+2)^4 A)(16x^2+8x+4)^4 B)512x^4+1024x^3+384x^2+256x+16 C)256x^4+512x^3+324x^2+128x+16 D)256x^3+512x^2+384x+1281 solutions Answer 451926 by Alan3354(30993)   on 2013-04-24 09:23:05 (Show Source): You can put this solution on YOUR website!Write the binomial expansion of the expression: (4x+2)^4 A)(16x^2+8x+4)^4 B)512x^4+1024x^3+384x^2+256x+16 C)256x^4+512x^3+324x^2+128x+16 D)256x^3+512x^2+384x+128 ------------------------------- Just check the 1st term.
 Triangles/741250: in a 30-60-90 triangle, the length of the hypotenuse is 30. what is the length of the longer leg?1 solutions Answer 451925 by Alan3354(30993)   on 2013-04-24 09:20:40 (Show Source): You can put this solution on YOUR website!in a 30-60-90 triangle, the length of the hypotenuse is 30. what is the length of the longer leg? ---------- s = 30*sin(60)
 Travel_Word_Problems/741249: a person runs 42.195 km in 2:23:07. find out the 3 different distances.1 solutions Answer 451924 by Alan3354(30993)   on 2013-04-24 09:19:35 (Show Source): You can put this solution on YOUR website!a person runs 42.195 km in 2:23:07. find out the 3 different distances. ------------ What 3? Only 1 distance is mentioned.
 Travel_Word_Problems/741253: How long will it take a car travelling at 60mph to arrive at a distance 400miles away?1 solutions Answer 451923 by Alan3354(30993)   on 2013-04-24 09:18:16 (Show Source): You can put this solution on YOUR website!How long will it take a car travelling at 60mph to arrive at a distance 400miles away? --------------------- d = r*t t = d/r
 Rate-of-work-word-problems/741238: Hey.. please help with this! It takes 48 hours to fill a swimming pool with water using 3 identical water pumps. A) how long would it take to fill the pool if there were 8 of these pumps? B) how many pumps would be needed to fill the pool in 12 hours? Thanks:)1 solutions Answer 451912 by Alan3354(30993)   on 2013-04-24 07:34:43 (Show Source): You can put this solution on YOUR website!It takes 48 hours to fill a swimming pool with water using 3 identical water pumps. A) how long would it take to fill the pool if there were 8 of these pumps? Filling the pool takes 48*3 = 144 pump-hours 144 pump-hrs/8 pumps = 18 hours ------------------ B) how many pumps would be needed to fill the pool in 12 hours? 144 pump-hrs/12 hrs = 12 pumps =================== Notice how the units cancel. Including the units can help avoid errors.
 Trigonometry-basics/741105: A plane flies on a bearing of 230o at 350 miles per hour. A wind is blowing from the west at 30 miles per hour. Find the groundspeed and the final bearing of the plane in the wind. 1 solutions Answer 451848 by Alan3354(30993)   on 2013-04-23 20:36:15 (Show Source): You can put this solution on YOUR website!A plane flies on a bearing of 230o at 350 miles per hour. A wind is blowing from the west at 30 miles per hour. Find the groundspeed and the final bearing of the plane in the wind. ----------------- 2 sides of the triangle are 350 & 30. The angle between the 2 sides = 270 - 230 = 40 degs GS =~ 327.586 mi/hr ------------- angle A is between heading and ground track GS/sin(40) = 30/sin(A) A =~ 3.375 degs ---- ground track = 230 - A = 226.6 degs
 Miscellaneous_Word_Problems/741108: You pour 2 gallons of 5% bleach into 3 gallons of 20% bleach.What is the percentage in this new mixture? (Hint: 3x3 chart may be helpful)1 solutions Answer 451842 by Alan3354(30993)   on 2013-04-23 20:27:16 (Show Source): You can put this solution on YOUR website!You pour 2 gallons of 5% bleach into 3 gallons of 20% bleach.What is the percentage in this new mixture? ---------- 2*5 + 3*20 = 5*C 5C = 70 C = 14% concentration
 decimal-numbers/740967: OK, THIS IS MY SECOND TIME ASKING THIS QUESTION TO YOU TUTORS!!! NOBODY STILL HASN'T HELPED ME WITH THIS PROBLEM!!! SERIOUSLY, I NEED HELP!!! I DON'T HAVE ANY MONEY TO DOWNLOAD OTHER ONLINE TUTORIALS!! Four students are about to purchase concert tickets for \$18.50. For each ticket, they discovered that they may purchase a block of 5 tickets for \$80.00. How much would each of the 4 save if they can get a fifth person to join them and the 5 people equally divide the price of the 5-ticket block? WHAT IS THE ANSWER?!1 solutions Answer 451823 by Alan3354(30993)   on 2013-04-23 18:23:50 (Show Source): You can put this solution on YOUR website!wow, you had to enter it 2 times? What makes you think we're obligated to do anything for you? What effort did you make? I'm guessing none, just whining.
 Exponential-and-logarithmic-functions/740977: 2(upper arrow)3=8 rewrite ? 1 solutions Answer 451815 by Alan3354(30993)   on 2013-04-23 17:47:53 (Show Source): You can put this solution on YOUR website!2(upper arrow)3=8 rewrite ? ------------
 Surface-area/741004: A family room is 24 feet5long and 18feet wide ,wshat is the area of the family room1 solutions Answer 451814 by Alan3354(30993)   on 2013-04-23 17:46:10 (Show Source): You can put this solution on YOUR website!A family room is 24 feet5long and 18feet wide ,wshat is the area of the family room ---------- Area = length * width
 test/740975: 19. Consider two ships, one on a course described by the equation 0.6x + 0.3y = 2.1 and the other on a course described by the equation –0.3x + 0.1y = –1.8. Which of the following sentences best describes the possibility of a collision? A. There will certainty be a collision at the point (6, 0). B. There is a possibility of a collision at the point (0, 7) but a collision is not a certainty. C. There is no possibility for a collision. D. There is a possibility of a collision at the point (5, –3) but a collision is not a certainty.1 solutions Answer 451811 by Alan3354(30993)   on 2013-04-23 17:40:09 (Show Source): You can put this solution on YOUR website!19. Consider two ships, one on a course described by the equation 0.6x + 0.3y = 2.1 and the other on a course described by the equation –0.3x + 0.1y = –1.8. Which of the following sentences best describes the possibility of a collision? A. There will certainty be a collision at the point (6, 0). B. There is a possibility of a collision at the point (0, 7) but a collision is not a certainty. C. There is no possibility for a collision. D. There is a possibility of a collision at the point (5, –3) but a collision is not a certainty. ------------------------ Find the intersection of the lines of the equations, if any. 0.6x + 0.3y = 2.1 x10/3 --> 2x + y = 7 –0.3x + 0.1y = –1.8 x10 --> -3x + y = -18 ------------------- 2x + y = 7 -3x +y = -18 --------------- Subtract 5x = 25 x = 5 ------- y = -3 --> intersection at (5,-3) Both ships would cross the point (5,-3) but not necessarily at the same time.
 test/740968: 10. Which of the following phrases correctly describes the graph of the system of equations and y = 2 − x? A. The graph is of two lines that coincide. B. The graph is of a line and a parabola, which intersect at two points. C. The graph is of two parallel lines that do not intersect. D. The graph is of two lines that intersect at a single point. 1 solutions Answer 451800 by Alan3354(30993)   on 2013-04-23 16:16:26 (Show Source): You can put this solution on YOUR website!10. Which of the following phrases correctly describes the graph of the system of equations and y = 2 − x? A. The graph is of two lines that coincide. B. The graph is of a line and a parabola, which intersect at two points. C. The graph is of two parallel lines that do not intersect. D. The graph is of two lines that intersect at a single point. ---------------- I see only 1 equation.
 Expressions-with-variables/740964: I can't figure out the answer to: x+y=11 x+y=-51 solutions Answer 451799 by Alan3354(30993)   on 2013-04-23 16:11:26 (Show Source): You can put this solution on YOUR website!I can't figure out the answer to: x+y=11 x+y=-5 ------------ The left sides are the same. They can't equal both 11 & -5 --> no solution
 Percentage-and-ratio-word-problems/740945: men and women are in a ratio P:Q . What is the percentage of men ? 1 solutions Answer 451797 by Alan3354(30993)   on 2013-04-23 15:30:05 (Show Source): You can put this solution on YOUR website!men and women are in a ratio P:Q . What is the percentage of men ? ---------- 100*P/(P+Q)
 Graphs/740937: how to solve y=4x-3 -4x+y=91 solutions Answer 451796 by Alan3354(30993)   on 2013-04-23 15:18:18 (Show Source): You can put this solution on YOUR website!how to solve y=4x-3 -4x+y=9 ---------------- Solve both equations for y.
 Graphs/740934: how to solve 3x+4y=-36 -2x=4y=-161 solutions Answer 451795 by Alan3354(30993)   on 2013-04-23 15:03:04 (Show Source): You can put this solution on YOUR website!how to solve 3x+4y=-36 -2x=4y=-16 **** too many equal signs
 Graphs/740936: how to solve y=x+8 -x+y=81 solutions Answer 451794 by Alan3354(30993)   on 2013-04-23 14:58:25 (Show Source): You can put this solution on YOUR website!how to solve y=x+8 -x+y=8 -------------- That's the same equation twice. --> dependent, infinite # of solutions. No unique solution.
 Linear-systems/740917: 8x-13y+4=0 put in slope intercept form 1 solutions Answer 451793 by Alan3354(30993)   on 2013-04-23 14:42:05 (Show Source): You can put this solution on YOUR website!8x-13y+4=0 put in slope intercept form --------------- Solve for y.
 Matrices-and-determiminant/740918: determinant of 1 2 2 1 1 2 4 2 2 7 5 2 -1 4 -6 3 1 solutions Answer 451788 by Alan3354(30993)   on 2013-04-23 14:10:42 (Show Source): You can put this solution on YOUR website!determinant of 1 2 2 1 1 2 4 2 2 7 5 2 -1 4 -6 3 ------------- Det = -42
 Polygons/740789: a = 33, b = 11, c =1 solutions Answer 451786 by Alan3354(30993)   on 2013-04-23 14:05:01 (Show Source): You can put this solution on YOUR website! a = 33, b = 11, c = ------------------ How is c related to a & b?
 expressions/740782: Nine years more than twice Bob's age is 5 years more than three times Harry's age. Find their ages.1 solutions Answer 451785 by Alan3354(30993)   on 2013-04-23 14:04:07 (Show Source): You can put this solution on YOUR website!Nine years more than twice Bob's age is 5 years more than three times Harry's age. Find their ages. -------------------- 9 + 2*Bob = 5 + 3*Harry 2B + 4 = 3H If you assume only positive integer solutions, Bob is 1, Harry is 2 Bob is 4, Harry is 4 Bob is 7, Harry is 6 etc Bob's age = 3n+1, n = 0,1,2,3... Harry's age = (2B + 4)/3
 Polygons/740778: I have no clue as to how to answer this question! please help! If the sum of the measures of the interior angles of a convex n-gon is equal to the sum of the measures of the exterior angles, how many sides does the n-gon have?1 solutions Answer 451782 by Alan3354(30993)   on 2013-04-23 13:54:22 (Show Source): You can put this solution on YOUR website!If the sum of the measures of the interior angles of a convex n-gon is equal to the sum of the measures of the exterior angles, how many sides does the n-gon have? ---------------- The sum of exterior angles is always 360 degs, for all polygons. --> what polygon has a sum of 360 degs for interior angles?
 Geometry_Word_Problems/740787: The two sides of a square pen each measure 3√2 m. What is the diagonal measure?1 solutions Answer 451781 by Alan3354(30993)   on 2013-04-23 13:50:49 (Show Source): You can put this solution on YOUR website! The two sides of a square pen each measure 3√2 m. What is the diagonal measure? -------------------
 logarithm/740799: 1.how do i evaluate log 37.5? 2. How do i evaluate log 0.72, question 3. solve the inequality, 10x+1/5-8x+4/6 < less than or equal to 2x-7.1 solutions Answer 451780 by Alan3354(30993)   on 2013-04-23 13:49:13 (Show Source): You can put this solution on YOUR website!1.how do i evaluate log 37.5? log(37.5) =~ 1.57403 (using a calculator) --------------- 2. How do i evaluate log 0.72 Same as #1 ----------- 3. solve the inequality, 10x+1/5-8x+4/6 < less than or equal to 2x-7. 10x+1/5-8x+4/6 <= 2x-7 If you mean (10x+1)/5 - (8x+4)/6 <= 2x-7 Multiply by 30 to eliminate fractions 6(10x+1) - 5(8x+4) <= 60x - 210 20x - 14 <= 60x - 210 196 <= 40x 40x >= 196 x >= 4.9
 Money_Word_Problems/740866: At 4.75 percent interest, how long does it take to quadruple your money? At 4.75 percent interest, how long does it take to double your money?1 solutions Answer 451778 by Alan3354(30993)   on 2013-04-23 13:43:16 (Show Source): You can put this solution on YOUR website!At 4.75 percent interest, how long does it take to quadruple your money? At 4.75 percent interest, how long does it take to double your money? ----------------- You didn't give the compounding period, if any. Compounded annualy: 2*Amt = Amt*1.0475^t (t in years) 1.0475^t = 2 t*log(1.0475) = log(2) t = log(2)/log(1.0475) t =~ 14.936 years to double ------------- Do the others the same way.
 Surface-area/740892: how much will it cost to carpet a rectangular room measuring 10m by 25m, if carpeting cost \$24.65 per square meter?1 solutions Answer 451777 by Alan3354(30993)   on 2013-04-23 13:39:20 (Show Source): You can put this solution on YOUR website!how much will it cost to carpet a rectangular room measuring 10m by 25m, if carpeting cost \$24.65 per square meter? -------------------- Area = 250 sq m Cost = 250*\$24.65 Cost = \$6162.50
 Travel_Word_Problems/740844: how long would it take a cyclist to travel 45km at an average speed of 84km/hr1 solutions Answer 451719 by Alan3354(30993)   on 2013-04-23 10:25:16 (Show Source): You can put this solution on YOUR website!how long would it take a cyclist to travel 45km at an average speed of 84km/hr ------------ d = r*t t = d/r
 Exponential-and-logarithmic-functions/740806: solve logx^2=2 for all values of x1 solutions Answer 451697 by Alan3354(30993)   on 2013-04-23 09:17:35 (Show Source): You can put this solution on YOUR website!solve logx^2=2 for all values of x ------------ log(x^2) = 2 x^2 = 100 x = -10, 10
 Rectangles/740822: how many cars can you park in a rectangle field 1400 x 500 and 850 x 3001 solutions Answer 451696 by Alan3354(30993)   on 2013-04-23 09:16:04 (Show Source): You can put this solution on YOUR website!how many cars can you park in a rectangle field 1400 x 500 and 850 x 300 -------------- How much space per car, and shape of the spaces? How much for lanes between cars?
 Systems-of-equations/740718: -3y = 7y1 solutions Answer 451692 by Alan3354(30993)   on 2013-04-23 08:34:35 (Show Source): You can put this solution on YOUR website!-3y = 7y 0 = 10y y = 0