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Recent problems solved by 'usyim88hk'

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 Quadratic_Equations/1464: q=VQ/I FOR I 1 solutions Answer 513 by usyim88hk(157)   on 2005-05-04 00:32:06 (Show Source): You can put this solution on YOUR website!q = VQ/I First, multiply both sides by I Iq = VQ Then divide both sides by q I = VQ/q Finish!
 Linear_Equations_And_Systems_Word_Problems/1474: The perimeter of a triangle is 60 inches. The second side is 10 inches longer than the first side. The third side is 6 inches more than twice the first side. what is the length of the smallest side?1 solutions Answer 512 by usyim88hk(157)   on 2005-05-04 00:30:17 (Show Source): You can put this solution on YOUR website!Let x be the length of the first side: x = first side x+10 = second side 2x+6 = third side Now set up an equation: x+x+10+2x+6 = 60 (because three sides add up to 60) 4x + 16 = 60 4x = 44 x = 11 So the length of the first side is 11 the length of the second side is 21 the length of the third side is 28
 Travel_Word_Problems/1466: This is a car problem. But what I don't understand is how to take the information in the sentences and turn them into a problem to be worked out. So here it is...A car leaves Washington, D.C., for New York City at the same time another car leaves New York City for Washington, D.C. The car from Washington, D.C., travels at an average rate of 45 mi/h; the other car averages 55 mi/h. If the two cities are 240 mi apart, how soon will the cars meet and how far will each have traveled? What I basically need is some direction on how to solve this problem, and how to write an equation for it so that i can solve it. It's got me stomped BIG TIME! Thanks for your time!1 solutions Answer 511 by usyim88hk(157)   on 2005-05-04 00:27:18 (Show Source): You can put this solution on YOUR website!First let x be the time they meet 55x+45x = 240 (The speed times the time gives you the distance) 100x = 240 x = 2.4 So they used 2.4 hours to meet each other the faster car traveled 2.4(55) = 132 miles the slower car traveled 2.4(45) = 108 miles hope you will get over this kind of problems
 Quadratic_Equations/1470: how do you graph y= -x^2 +21 solutions Answer 510 by usyim88hk(157)   on 2005-05-04 00:22:35 (Show Source): You can put this solution on YOUR website!So the shape will be a parabola because it is a quradrtic equation
 Numeric_Fractions/1471: what is a 1/6 of 5 1 solutions Answer 509 by usyim88hk(157)   on 2005-05-04 00:19:30 (Show Source): You can put this solution on YOUR website!It is 5 times 1 then divide by 6 5*1/6 = (5/6)
 Age_Word_Problems/1502: Can you please help!! My wife and I have been out of school for more than 15 years and we are home schooling and need help solving this problem. Could you let us know how to get the answer step by step please. Paul is 5 years older than twice Carlo's age. The sum of their age is 101. How old is Carlo's.1 solutions Answer 508 by usyim88hk(157)   on 2005-05-04 00:16:34 (Show Source): You can put this solution on YOUR website!First, let x be the age of Carlo So x is the age of Carlo and 2x+5 is the age of Paul because it is twice the age of Carlo and plus five Now we knwo that the sum of their age is 101, so we could set up an equation: : x + 2x + 5 = 101 (Age of Carlo plus age of Paul is equal to 101) 3x + 5 = 101 3x = 96 x = 32 So the age of Carlo is 32 and the age of Paul is 32 times 2 and plus 5 which is equal to 69
 Linear-equations/1506: Good evening how would I Solve 2-3(4-x)=x-(3-x)1 solutions Answer 506 by usyim88hk(157)   on 2005-05-04 00:10:54 (Show Source): You can put this solution on YOUR website!2-3(4-x) = x-(3-x) First multiply 3 and (4-x) 2-12+3x = x-(3-x) Then subtract 12 from 2 -10+3x = x-(3-x) Now, subtract (3-x) from x -10+3x = x-3+x -10+3x = 2x-3 Now add three to both sides -7+3x = 2x subtract 3x from both sides -7 = -x Divide -1 from both sides 7 = x
 Linear-equations/1507: How would i graph 5x-2y=-101 solutions Answer 505 by usyim88hk(157)   on 2005-05-04 00:05:36 (Show Source): You can put this solution on YOUR website!First change it into slope intercept form (which is also known as y= form) 5x-2y = -10 2y = 5x+10 y = 2.5x+5 Now graph it!!! (I don't knwo what happen to the graphing program but I think you can graph this equation by yourself now)
 Quadratic_Equations/1510: Can you show me step by step on how to work or solve a quadratic formula problem like, 25x^2+4=-20x ?1 solutions Answer 504 by usyim88hk(157)   on 2005-05-03 23:59:49 (Show Source): You can put this solution on YOUR website!25x^2+4 = -20x First add 20x to both sides 25x^2+20x+4 = 0 Now use the quradratic formula
 Quadratic_Equations/1512: I am having problems with the quatratic formula. My problem is -x^2-3x+5=0 The solution I came out with does not look correct. Please help!1 solutions Answer 503 by usyim88hk(157)   on 2005-05-03 23:56:05 (Show Source): You can put this solution on YOUR website!Well, to make it easier, we can first multiply both sides by -1 (-x^2-3x+5)(-1) = 0(-1) x^2+3x-5 = 0 Now use the quardratic formula to solve SO the answer can be or
 Triangles/1513: If the area of a triangle is 125 mē and the base width equals 25 m. What is the height of the triangle.1 solutions Answer 502 by usyim88hk(157)   on 2005-05-03 23:50:04 (Show Source): You can put this solution on YOUR website!Lets look at the formula to get the area of a triangle A = (1/2)BH whcih is also known as "The area of a triangle is equal to half of base times height So now we could plug in the data we have into the equation 125 = (1/2)25H 250 = 25H H = 10 So the height is 10m
 Numbers_Word_Problems/1516: The larger of two numbers is 8 more than four times the smaller. If the larger is increased by four times the smaller, the result is 40. Find the numbers.1 solutions Answer 501 by usyim88hk(157)   on 2005-05-03 23:46:08 (Show Source): You can put this solution on YOUR website!Let x be the smaller number: x = smaller number 4x+8 = bigger number 4x+8+4x = 40 (If the larger is increased by four times the smaller, the result is 40) 8x+8 = 40 8x = 32 x = 4 So the small number is 4 and the bigger number is 4(4)+8 = 24
 Percentage-and-ratio-word-problems/1450: what is 5/8 of 84?1 solutions Answer 498 by usyim88hk(157)   on 2005-05-02 21:27:01 (Show Source): You can put this solution on YOUR website!84 * 5 / 8 = 420 / 8 = 52.5
 Age_Word_Problems/1445: In three years, Chad will be three times my present age. I will then be half as old as he. How old am I now?1 solutions Answer 495 by usyim88hk(157)   on 2005-05-02 20:32:46 (Show Source): You can put this solution on YOUR website!Let x be the age of "I" now x = my persent age x+3 = my age after 3 years 3x = Chad's age after 3 years x+3 = (1/2)3x (my age after three years is half of Chad's age after three years) x+3 = 1.5x 3 = 0.5x x = 6 So now I am 6 years old
 Quadratic_Equations/1274: SOLVE 2Y^2-3Y+5=01 solutions Answer 494 by usyim88hk(157)   on 2005-05-02 19:22:01 (Show Source): You can put this solution on YOUR website!Use the quadratic formula: This equation has no solution because we can not take the square root of a negative. So no solution. (If you are in advance algebra or higher, you can learn something called imaginary numbers which helps you take the square root out of a negative number)
 Linear-equations/1298: Graph the linear equation. Find three points that solve the equation, then plot them on the graph 3x-4y= -181 solutions Answer 493 by usyim88hk(157)   on 2005-05-02 19:15:09 (Show Source): You can put this solution on YOUR website!First change it into slope intercept form: 3x-4y = -18 4y = 3x+18 y = (3/4)x + 4.5
 Quadratic_Equations/1282: i dont understand how you can turn this into a quadratic equation, The sum of the squares of three consecutive integers is 434. Find the integers. Help please. - Alex1 solutions Answer 492 by usyim88hk(157)   on 2005-05-02 19:08:48 (Show Source): You can put this solution on YOUR website!Let x be the smallest integer and x+1 be the second one and x+2 be the third one: x^2 + (x+1)^2 + (x+2)^2 = 434 x^2 + (x^2+2x+1) + (x^2+4x+4) = 434 x^2+x^2+x^2+2x+4x+1+4 = 434 3x^2+6x-429 = 0 <---------- quadratic equation Now use the quadratic formula to solve for x x = 66/6 or -78/6 x = 11 or -13 So the three numbers can be [11, 12 ,13] or [-13, -12, -11]
 Geometry_Word_Problems/1377: A rectangular stage has an area of 600 square yards. The length of the stage must be more than 10 yard more than the width. Find the dimension of the stage nedded.1 solutions Answer 462 by usyim88hk(157)   on 2005-04-29 19:35:08 (Show Source): You can put this solution on YOUR website!Let x be the width of the stage: x*(x+10) = 600 (the width times the length whcih is equal to 600) x^2+10x = 600 x^2+10x-600 = 0 Now factor the equation (x+30)(x-20) = 0 x = -30 or 20 Because length of anything can not be a negative number, so 20 is the width and x+10 whcih is 30 is the length of the stage.
 Rate-of-work-word-problems/1441: I want to know not only the answer to the question but also how to solve it. If Sally can paint a house in 4 hours, and John can paint the same house in 6 hour, how long will it take for both of them to paint the house together? 1 solutions Answer 461 by usyim88hk(157)   on 2005-04-29 19:00:21 (Show Source): You can put this solution on YOUR website!I thoguht I did this question and "solve" it...ARRR.... because sally can paint a house in 4 hours, that's why she can paint 1/4 of a house in one hour, right? because john can paint a house in 6 hours, that's why he can paint 1/6 of a house in one hour, right? Then we have to let 1 be the total painting they have to do for the house because one means one house, right? So we have to let x be the number of hours they need to paint one house and now we can set up an equation: ((1/4)+(1/6))x = 1 (5/12)x = 1 now multiply both sides by (12/5) to find out what x is x = (12/5) So they took (12/5) hours to paint one house together, get it???
 Percentage-and-ratio-word-problems/1438: what is 2/3 of 501 solutions Answer 460 by usyim88hk(157)   on 2005-04-29 18:50:18 (Show Source): You can put this solution on YOUR website!It means 50 times 2 and divide by 3, like: 50*2 = 100 100/3 = 33.33333 or 33 and (1/3)
 Travel_Word_Problems/1439: Two cars start off at the same point on a straight highway facing opposite directions. Each car drives for 6 miles, takes a left turn, & drives for 8 miles. How far apart are the two cars ?1 solutions Answer 459 by usyim88hk(157)   on 2005-04-29 18:35:54 (Show Source): You can put this solution on YOUR website!Now I knwo that this question is from the "IQ" test, anyway i will still solve it: : think of two right triangles with sides 6-8-x , x is the longest side and so it is equal to 6^2+8^2 = 36+64 = 100 and then square root it, so it is 10 and we have two, so it is 20
 Inequalities/1427: -5/3 of a number is less than 2/7. Solve the inequality.1 solutions Answer 452 by usyim88hk(157)   on 2005-04-28 22:48:05 (Show Source): You can put this solution on YOUR website!Let x be that number (-5/3)x < 2/7 Multiply both sides by (-3/5) x > -6/35 Remember to change the sign < to > because we multiply with negative numbers
 Linear-equations/1424: Which line is the graph of the equation y= -3/4x + 2?1 solutions Answer 450 by usyim88hk(157)   on 2005-04-28 22:45:10 (Show Source):
 Triangles/1420: To reach a damsell in distress, a knight places a 13-foot ladder against the castle wall. The base of the ladder is 7 feet less than the distance from the top of the ladder to the ground. How high on the castle will the ladder reach? 1 solutions Answer 449 by usyim88hk(157)   on 2005-04-28 22:43:48 (Show Source): You can put this solution on YOUR website!So this will form a triangle: (If you are in high level math, you will notice that it is a 5-12-13 triangle which has sides length of 5, 12 and 13, but if you don't, we will solve it now) let x be the distance from the ladder to the ground x^2 + (x-7)^2 = 13^2 x^2 + x^2 - 14x +49 = 169 2x^2 - 14x - 120 = 0 Now use the quardratic formula to solve: x = 48/4 or -20/4 x = 12 or -5 Because length of anything can not be a negative number, so 12 is the answer.
 Rectangles/1421: The width of a rectangle is 45% of the length. If the perimeter of the rectangle is 58cm, find its width.1 solutions Answer 448 by usyim88hk(157)   on 2005-04-28 22:37:04 (Show Source): You can put this solution on YOUR website!let x be the length of the rectangle 45%x = width of rectangle x+x+45%x+45%x = 58 = perimeter of the rectangle 2.9x = 58 x = 20 So the length of the rectangle is 20 cm and the width of the rectangle is 45% of 20 which is 9
 Linear-equations/1425: I need a refresher in order to work with linear equations, please help! The problem I am trying to solve is: x=y+3 Y=3-x Could this be the answer? 5= 2+3 and 2= 3-1 1 solutions Answer 447 by usyim88hk(157)   on 2005-04-28 22:34:22 (Show Source): You can put this solution on YOUR website!Yes, you are right but you can solve it with a algebratical way
 Linear-equations/1426: Let m represent the slope and b represent the y-intercept. Find the slope m and the y-intercept b for: 3x - 4y = 12.1 solutions Answer 446 by usyim88hk(157)   on 2005-04-28 22:32:37 (Show Source): You can put this solution on YOUR website!3x - 4y = 12 We have to make y stand alone on one side to find m and b, so minus 3x from both sides -4y = 12-3x Divide both sides by -1 4y = 3x-12 divide both sides by 4 y = (3/4)x - 3 So m is (3/4) and b is -3
 Polynomials-and-rational-expressions/1430: Solve: (z-8)(z+4)= -351 solutions Answer 445 by usyim88hk(157)   on 2005-04-28 22:29:34 (Show Source): You can put this solution on YOUR website!(z-8)(z+4) = -35 So we should multiply (z-8) by (z+4) first z^2-4z-32 = -35 Now add 35 to both sides z^2-4z+3 = 0 Now factor (z-1)(z-3) = 0 Now solve for z z = 1 or 3
 Problems-with-consecutive-odd-even-integers/1429: The sum of three consecutive positive integers is 246. Find the largest integer.1 solutions Answer 444 by usyim88hk(157)   on 2005-04-28 22:20:41 (Show Source): You can put this solution on YOUR website!let x be the biggest one x+(x-1)+(x-2)=246 x+x-1+x-2=246 3x=249 x=83
 Polynomials-and-rational-expressions/1410: How do I factor this polynomial? And if it's prime, say so. 9x^2+6x+31 solutions Answer 443 by usyim88hk(157)   on 2005-04-28 21:06:53 (Show Source): You can put this solution on YOUR website!Divide the whole equation by 3 to get: : 3(3x^2+2x+1) : Finish!!!
 Average/1417: Find the geometric mean of the two numbers 5 and 15. Leave answer in simplest radical form.1 solutions Answer 442 by usyim88hk(157)   on 2005-04-28 20:55:29 (Show Source):