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# Recent problems solved by 'Alan3354'

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 Miscellaneous_Word_Problems/393635: a sewing box is 25 cm long. 20 cm wide and 6cm high. what is it volume?1 solutions Answer 279378 by Alan3354(30993)   on 2011-01-12 10:29:51 (Show Source): You can put this solution on YOUR website! a sewing box is 25 cm long. 20 cm wide and 6cm high. what is it volume? -------- It's the product, 25*20*6 cc
 Matrices-and-determiminant/393686: solve : [1 0 -5] 2[5 -2 1] [2 3 1]1 solutions Answer 279376 by Alan3354(30993)   on 2011-01-12 10:27:44 (Show Source): You can put this solution on YOUR website!There's nothing to solve, it's not an equation, there's no variable.
 Sequences-and-series/393639: Find the fraction which is equivalent to 0.015 (reoccurring) This question is driving me nuts,please help1 solutions Answer 279375 by Alan3354(30993)   on 2011-01-12 10:26:35 (Show Source): You can put this solution on YOUR website!Find the fraction which is equivalent to 0.015 (reoccurring) ----------------- n = 0.0151515... 100n = 1.5151515... - n = 0.0151515... ------------------- Subtract 99n = 1.5 n = 1.5/99 n = 1/66
 Age_Word_Problems/393684: Sarah leaves Seattle for New York in her car, averaging 80 mph across open country. One hour later a plane leaves Seattle for new york following the same route and flying 400 mph. how long will it be before the plane overtakes the car? 1 solutions Answer 279370 by Alan3354(30993)   on 2011-01-12 10:15:52 (Show Source): You can put this solution on YOUR website!Sarah leaves Seattle for New York in her car, averaging 80 mph across open country. One hour later a plane leaves Seattle for new york following the same route and flying 400 mph. how long will it be before the plane overtakes the car? ---------------- Sarah is 80 miles ahead (80 * 1) The plane gains on her at 320 mph (400 - 80) 80/320 = 1/4 hour -------------------
 Linear-equations/393677: What is the slope of any line parallel to the line formed by the equation -45x + 9y = 36? 1 solutions Answer 279359 by Alan3354(30993)   on 2011-01-12 09:27:06 (Show Source): You can put this solution on YOUR website!Find the slope of -45x + 9y = 36 by solving for y. y = 5x + 4 The slope, m, is the coefficient of x m = 5 -------- All lines parallel to it have the same slope m = 5
 Complex_Numbers/393497: y^4z^2, y^6z^8,z^9=? what is the greatest common factor in all these i got y^2 for some reason1 solutions Answer 279253 by Alan3354(30993)   on 2011-01-11 20:53:23 (Show Source): You can put this solution on YOUR website!There's no y in z^9
 Expressions-with-variables/393382: How do you combine like terms and then write them in a factored form for the equation 32+20x?1 solutions Answer 279232 by Alan3354(30993)   on 2011-01-11 19:58:38 (Show Source): You can put this solution on YOUR website!There are no like terms. 32+20x = 4*(8 + 5x)
 test/393381: what is the solution to -7x>4x+33?1 solutions Answer 279187 by Alan3354(30993)   on 2011-01-11 18:07:28 (Show Source): You can put this solution on YOUR website!what is the solution to -7x>4x+33? Add 7x 0 > 11x + 33 Subtract 33 -33 > 11x Divide by 11 -3 > x x < -3
 Equations/393375: I'm having a hard time solving for x. I know you subtract 75 and then divide by 5. What do i do next? 5x^2+75=931 solutions Answer 279186 by Alan3354(30993)   on 2011-01-11 18:05:50 (Show Source): You can put this solution on YOUR website!Then you take the square root of both sides.
 expressions/393378: v is 2/5 of a1 solutions Answer 279185 by Alan3354(30993)   on 2011-01-11 18:04:47 (Show Source): You can put this solution on YOUR website!v = 2a/5 or v = (2/5)a
 test/393366: which point lies on the graph of 2x-y+z=0?1 solutions Answer 279181 by Alan3354(30993)   on 2011-01-11 18:00:00 (Show Source): You can put this solution on YOUR website!That's the equation of a plane in 3-space. There are an infinite number of points on it. (0,0,0) is one. (1,2,0) is another, as is (0,1,1), etc.
 Exponential-and-logarithmic-functions/393342: in the year 2001, the United States will host the international mathematical olimpiad. Let I,M, and O be distinct positive intergers such that the probuct I*M*O=2001. What is the largest possible value of the sum I+M+O?1 solutions Answer 279165 by Alan3354(30993)   on 2011-01-11 17:08:08 (Show Source): You can put this solution on YOUR website!2001 has 3 factors, 3*23*29 Sum = 55 ----------- PS I don't think the future tense applies to 2001.
 Trigonometry-basics/393278: Can somebody please help me solve this question, it would be greatly appreciated!:) The question is: You decide to climb a vertical rock wall at an amusement part. From a point that is 10m from the base of the wall, the angle of elevation of the top of the wall is 72 degrees. What is the height of the wall to the nearest metre? Thankyou!1 solutions Answer 279155 by Alan3354(30993)   on 2011-01-11 16:22:25 (Show Source): You can put this solution on YOUR website!From a point that is 10m from the base of the wall, the angle of elevation of the top of the wall is 72 degrees. What is the height of the wall to the nearest metre? ----------------- tan(72) = h/10 h = 10*tan(72) =~ 30.777 h = 31 m
 Travel_Word_Problems/393309: If a plane can travel 510 miles per hour with the wind and 410 miles per hour against the when, find the speed of the plane in still air.1 solutions Answer 279152 by Alan3354(30993)   on 2011-01-11 16:09:11 (Show Source): You can put this solution on YOUR website!It's the average, (510 + 410)/2 = 460 mi/hr, and it's called airspeed, not "the speed in still air."
 Equations/393275: If sally can paint a house in 4 hours, and John can paint the same house in 6 hours, how long will it take for both of them to paint the house together? I need step by step please i have been out of high school for 5 years and am trying to get into college. thanks1 solutions Answer 279143 by Alan3354(30993)   on 2011-01-11 15:52:30 (Show Source): You can put this solution on YOUR website!12/5 = 2.4, not 2.8
 Trigonometry-basics/393289: I'm having a very hard time with this question, can somebody please help me! The question is: Prove the identity of: sinx + sinx cot^2x=cscx Thankyou!1 solutions Answer 279141 by Alan3354(30993)   on 2011-01-11 15:48:25 (Show Source): You can put this solution on YOUR website!Prove the identity of: sinx + sinx cot^2x=cscx ------------------------- Change everything to sin and cos. sin + sin(cos^2/sin^2) = 1/sin sin + cos^2/sin = 1/sin sin^2 + cos^2 = 1
 Equations/393235: Find the shortest distance from the point (-2,7) to the line 5x – 2y – 34 = 0. Round your answer to the nearest tenth.1 solutions Answer 279123 by Alan3354(30993)   on 2011-01-11 14:50:50 (Show Source): You can put this solution on YOUR website!Find the shortest distance from the point (-2,7) to the line 5x – 2y – 34 = 0. Round your answer to the nearest tenth. ------------------ First, find the eqn of the line perpendicular to the given line thru the point. Slope of the given line = 5/2 Slope m of the perpendicular line = -2/5 ------------ y-7 = (-2/5)(x+2) 2x + 5y = 31 is the line perpendicular thru (-2,7) ------------ Solve for the intersection of the lines: 5x – 2y = 34 2x + 5y = 31 ---------------- (8,3) is the intersection --------- Find the distance from (-2,7) to (8,3) d =~ 10.8 units ------------------- There might be a better way to do these, I'll check into it.
 Equations/393234: . Determine the coordinates of the points that divide the line segment joining C(8,1) and D(3,11) into 5 parts1 solutions Answer 279120 by Alan3354(30993)   on 2011-01-11 14:38:26 (Show Source): You can put this solution on YOUR website!Determine the coordinates of the points that divide the line segment joining C(8,1) and D(3,11) into 5 parts ----------------------- Do x and y separately x: 8, 7, 6, 5, 4, 3 y: 1, 3, 5, 7, 9, 11 --> (8,1) (7,3), etc
 Inequalities/393245: 5 is less than or equal to -51 solutions Answer 279113 by Alan3354(30993)   on 2011-01-11 14:15:28 (Show Source): You can put this solution on YOUR website!No, it isn't.
 Equations/393237: Find the coordinates of any points of intersection of the line y = x – 1 and the circle . 1 solutions Answer 279111 by Alan3354(30993)   on 2011-01-11 14:13:36 (Show Source): You can put this solution on YOUR website!What circle?
 Equations/393233: . Each exterior angle of a regular n-sided polygon measures . Find the value of n. 1 solutions Answer 279110 by Alan3354(30993)   on 2011-01-11 14:08:52 (Show Source): You can put this solution on YOUR website!The sum of exterior angles for all polygons is 360º. Each angle = 360/n n = 360/angle
 Rational-functions/393219: The vertices of triangle ABC have (x,y) coordinates (4,5), (5,3) and (1,3) respectivly. What is the area of triangle ABC? if you can show me how to solve this problem please email me at mkhla@aol.com. Thanks!! 1 solutions Answer 279106 by Alan3354(30993)   on 2011-01-11 13:48:11 (Show Source): You can put this solution on YOUR website!The vertices of triangle ABC have (x,y) coordinates (4,5), (5,3) and (1,3) respectivly. What is the area of triangle ABC? -------------- There's more than one way to do this, and problems like it. Here's one: Write the points in columns repeating the 1st point A B C A 4 5 1 5 5 3 1 4 Add the diagonal products from upper left, then from lower left Upper: 4*3 + 5*1 + 1*4 = 12 + 5 + 4 = 19 Lower: 5*5 + 3*1 + 1*5 = 25 + 3 + 5 = 33 Find the difference, 33 - 19 = 14 The area is 1/2 that, = 7 sq units. ------------------------------------- This method works for all polygons, any # of sides.
 absolute-value/393218: How would you go about solving this equation? |-2x+1| + x = 91 solutions Answer 279105 by Alan3354(30993)   on 2011-01-11 13:39:30 (Show Source): You can put this solution on YOUR website!How would you go about solving this equation? |-2x+1| + x = 9 Solve (-2x+1) + x = 9 Then solve -(-2x+1) + x = 9
 Exponents/393157: I need help with the following -x-4/5=x+1/2+2/5 Thank you 1 solutions Answer 279082 by Alan3354(30993)   on 2011-01-11 11:28:16 (Show Source): You can put this solution on YOUR website!-x-4/5=x+1/2+2/5 Multiply thru by 10 -10x - 8 = 10x + 5 + 4 -10x - 8 = 10x + 9 -10x = 10x + 17 -20x = 17 x = -17/20
 Radicals/393164: A ranger spots a forest fire while on a 40-meter observation tower. The angle of depression from the tower to the fire is 12°. To the nearest meter, how far is the fire from the base of the tower?1 solutions Answer 279080 by Alan3354(30993)   on 2011-01-11 11:25:26 (Show Source): You can put this solution on YOUR website!tan(12º) = 40/d d = 40/tan(12) d =~ 188 meters
 Square-cubic-other-roots/393059: 2x-5-(x-8)/(x+4) 1 solutions Answer 279079 by Alan3354(30993)   on 2011-01-11 11:15:17 (Show Source): You can put this solution on YOUR website!Do you have a question?
 Evaluation_Word_Problems/393156: A gardener has 100 feet of fence in a rectangular vegetable garden. Find the function that models the area of the garden he can fence in terms of the width X1 solutions Answer 279077 by Alan3354(30993)   on 2011-01-11 11:12:01 (Show Source): You can put this solution on YOUR website!A gardener has 100 feet of fence in a rectangular vegetable garden. Find the function that models the area of the garden he can fence in terms of the width X ---------- Area = L * W 100 = 2(L + W) L = 50 - W = 50 -x Area(x) = x*(50-x) = 50x - x^2
 Bodies-in-space/393161: Calculate,in terms of pi,the volume of a sphere with radius of lenght 3 cm.1 solutions Answer 279076 by Alan3354(30993)   on 2011-01-11 11:08:53 (Show Source): You can put this solution on YOUR website! Sub 3 for r.
 Rational-functions/393143: y=(x-1)^4 y=(x-1) what real values of x, if any, satisfy the inequality (x-1)^4<(x-1) if you can show me how to solve this problem, please email me at mkhla@aol.com. THanks!!1 solutions Answer 279073 by Alan3354(30993)   on 2011-01-11 10:29:28 (Show Source): You can put this solution on YOUR website!y=(x-1)^4 y=(x-1) what real values of x, if any, satisfy the inequality (x-1)^4<(x-1) ---------------- (x-1)^4<(x-1) Divide by x-1 (x-1)^3 < 1 Take the cube root of both sides x-1 < 1 x < 2 ---------- The division by x-1 requires that x > 1 1 < x < 2
 Polynomials-and-rational-expressions/393147: Please help me solve this problem step by step: 135x^6y^2 - 60y^21 solutions Answer 279071 by Alan3354(30993)   on 2011-01-11 10:23:02 (Show Source): You can put this solution on YOUR website!What do you want to do? It's not an equation, there's nothing to solve.
 Inequalities/393142: is the ordered pair (2, -1) a solution to the inequality 5x-3y <_ 10?1 solutions Answer 279066 by Alan3354(30993)   on 2011-01-11 09:59:44 (Show Source): You can put this solution on YOUR website!Sub 2 for x and -1 for y. Is it <= 10 ?