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# Recent problems solved by 'palanisamy'

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 Points-lines-and-rays/333348: The three distinct points P, Q, and R lie on a line +; the four distinct points S, T, U, and V lie on a different line that is parallel to line . What is the total number of different lines that can be drawn so that each line contains exactly two of the seven points?1 solutions Answer 238871 by palanisamy(496)   on 2010-08-20 08:23:22 (Show Source): You can put this solution on YOUR website!First consider the point P. We can draw 4 distinct lines through PandS, P and T, P and U , P and V. Similarly we can draw 4 lines through Q and each of the four points on the second line. At last we can draw 4 lines through R and each of the four points on the second line. So altogether we can draw 12 distinct lines ANOTHER METHOD Join each of the three points on each of the four points on the second line. We can draw 3*4 = 12 distinct lines
 Equations/333355: write an algebraic expression the product of 2 and a number1 solutions Answer 238864 by palanisamy(496)   on 2010-08-20 08:04:02 (Show Source): You can put this solution on YOUR website!Answer 2n where n is the given number
 Functions/333354: A group of students washed cars to raise money. The net amount A, in dollars, raised by washing k cars is given by the function A(K) = 4K-30 .If the group washed 15 cars, what is the net amount they raised? (A) \$10 (B) \$15 (C) \$20 (D) \$25 (E) \$301 solutions Answer 238862 by palanisamy(496)   on 2010-08-20 08:03:02 (Show Source): You can put this solution on YOUR website!Given, A(K) = 4K-30 Plug K = 15 We get A(15) = 4*15-30=60-30 = \$ 30
 Miscellaneous_Word_Problems/333351: If E is the set of even integers, P is the set of positive integers, and F is the set of integers less than 5, which of the following integers will be in all three sets? (A) 6 (B) 4 (C) 1 (D) 0 (E) -21 solutions Answer 238860 by palanisamy(496)   on 2010-08-20 08:00:42 (Show Source): You can put this solution on YOUR website!B) 4 4 ia an even integer, a positive integer and an integer less than 5. So 4 will be in all the three sets.
 Linear_Algebra/316864: a pool measuring 20 meters by 30 meters is surrounded by a path of uniform width. If the area of the pool and the path combined is 1344 sqaure meters, what is the width of the path?1 solutions Answer 226772 by palanisamy(496)   on 2010-06-23 10:22:54 (Show Source): You can put this solution on YOUR website!Given, the length of the pool = 30 m And the width of the pool = 20 m Let the width of the path = x m Then, the length of the rectangle including the path = 30+x And the width of the rectangle including the path = 20+x Total area is (30+x)(20+x) = 1344 600+30x+20x+x^2-1344 = 0 x^2 +50x-744 = 0 X^2+62x-12x-744=0 x(x+62)-12(x+62)=0 (x-12)(x+62)=0 x=12,-62 The width of the path is 12 m
 Polynomials-and-rational-expressions/315722: If the sides of a square are lengthened by 8cm, the area becomes 169cm^2. Find the length of the original square. Can anyone please help me with this? THank you!1 solutions Answer 225880 by palanisamy(496)   on 2010-06-19 10:45:54 (Show Source): You can put this solution on YOUR website!Let the length of the side of the original square = x It is increased by 8 cm So, the length of the side of the new square = x+8 The area of the new square is (x+8)^2=169 Taking square root, x+8= Sqrt(169) x+8=13 x = 13-5 x=5 cm
 Trigonometry-basics/315725: If A=3x2-2x-7 and B=x2+9, then what is their sum, A+B?1 solutions Answer 225879 by palanisamy(496)   on 2010-06-19 10:41:56 (Show Source): You can put this solution on YOUR website!Given, A = 3x^2-2x-7 and B = x^2+9 A+B =3x^2-2x-7+x^2+9 A+B = 4x^2-2x+2
 Equations/311297: How would I solve this equation for x? 6x2 + 5x – 6 = 01 solutions Answer 222636 by palanisamy(496)   on 2010-06-04 11:32:35 (Show Source): You can put this solution on YOUR website!6x^2+5x-6=0 6x^2+9x-4x-6=0 3x(2x+3)-2(2x+3)=0 (2x+3)(3x-2)=0 2x+3=0, 3x-2=0 x=-3/2, 2/3
 Linear-systems/311293: at a fair the admission is \$1.50 for children and \$4.00 for adults. one day 2,200 people enter the fair and \$5,050 is collected. how many children and how many adults attended.1 solutions Answer 222633 by palanisamy(496)   on 2010-06-04 11:28:16 (Show Source): You can put this solution on YOUR website!Let the number of children = x And the number of adults = y Total number x+y = 2,200 ...(1) Total collection 1.5x+4y=5050 ...(2) (1)*4=> 4x+4y = 8,800 ...(3) (3)-(2)=> 2.5 x = 3,750 x = 3750/2.5 x = 1500 (1)=> 1500+y=2200 y=2200-1500 y=700 So, the number of children = 1500 And the number of adults = 700
 Equations/311292: you have 12 bills in your wallet some of the bills are \$5's and some are \$10's totaling \$100 how many of ech do you have? I am not very good with figuring out word problems can you help?1 solutions Answer 222626 by palanisamy(496)   on 2010-06-04 11:06:59 (Show Source): You can put this solution on YOUR website!Let the number of \$5 bills = x And the number of \$10 bills = y Total nomber of bills x+y = 12 ...(1) Total value is 5x+10y = 100 ...(2) (1)*5=> 5x+5y = 60 ...(3) (2)-(3)=> 5y=40 y= 40/5 y= 8 (1)=> x+8=12 x=12-8 x=4 So, the number of \$5 bills = 4 And the number of \$10 bills = 8
 Rational-functions/311274: ok....i need help understanding or a walkthrough of how to solve a problem from the section of "the difference of rational expressions, with unlike denominators" ALGEBRA 2.please help i only have a few hours to get this lesson done....i will not be able to get back on the school site to do my work after 12pm eastern time.. thanks for all your help!!1 solutions Answer 222624 by palanisamy(496)   on 2010-06-04 11:00:33 (Show Source): You can put this solution on YOUR website!Hello! I will show you a few examples 1) 2/3- 2/7 = 2*7/3*7 - 2*3/7*3 =14/21-6/21 =(14-6)/21 =8/21 2) 7/10-9/20= 7*2/10*2 - 9/20 =(14-9)/20 =5/20 =1/4 3) 1/(x+1)-1/(x+2) =1*(x+2)/(x+1)(x+2)-1*(x+1)/(x+1)(x+2) =[(x+2)-(x+1)/(x+1)(x+2) =[x+2-x-1]/(x+1)(x+2) =1/(x+1)(x+2)
 Exponents-negative-and-fractional/311275: how do you solve(5a2/6b)(4b/a3)1 solutions Answer 222623 by palanisamy(496)   on 2010-06-04 10:52:59 (Show Source): You can put this solution on YOUR website!(5a^2/6b)*(4b/a^3)=(20a^2b)/(6a^3b)=10/3a
 Geometry_Word_Problems/310935: 110 meters long and 70 meters wide. To the nearest tenth of a meter, how long is a diagonal of the field? 1 solutions Answer 222373 by palanisamy(496)   on 2010-06-03 08:56:03 (Show Source): You can put this solution on YOUR website!Length of the diagonol = SQrt[110^2+70^2]=130.4 meter
 Travel_Word_Problems/310943: Can you help me with this problem? I don't understand how to write the formulas of a word problem. If the speed of light is 3.00*10^8 m/sec, how long does it take light to travel 2.29*10^11 m, the distance from the sun to mars? round to one decimal place. Please show work1 solutions Answer 222372 by palanisamy(496)   on 2010-06-03 08:53:30 (Show Source): You can put this solution on YOUR website!Time=Distance/Speed =2.29*10^11/(3.00*10^8) =76.33 sec
 test/310936: Simplify 3/(2x-4) + 2/(6-3x)1 solutions Answer 222371 by palanisamy(496)   on 2010-06-03 08:49:00 (Show Source): You can put this solution on YOUR website!3/(2x-4)+2/(6-3x)=3/2(x-2)-2/3(x-2) =[3*3-2*2]/3*2*(x-2) =5/6(x-2)
 Inequalities/310939: A rectangle has length ( x + 11) in width 2x in . the perimeter of the rectangle is at least 47 inches and at most 52 inches .find the greatest value of x that satisfies the condition1 solutions Answer 222369 by palanisamy(496)   on 2010-06-03 08:45:12 (Show Source): You can put this solution on YOUR website!Given, A rectangle has length ( x + 11) in width 2x in Its perimeter = 2[x+11+2x]=6x+22 Given, the perimeter of the rectangle is at least 47 inches and at most 52 inches 47< 6x+22< 52 47-22< 6x< 52-22 25< 6x< 30 25/6< x < 30/6 25/6 So the maximum value of x is 5
 Surface-area/310941: if a cylinder has a hight of 20cm is it possible to find the surface area? if so how1 solutions Answer 222368 by palanisamy(496)   on 2010-06-03 08:31:48 (Show Source): You can put this solution on YOUR website!To find the surface area of the cylinder we must know the radius and the height
 Sequences-and-series/310934: 0+1+2+3+4+5+6+7+8+9 what is the sigma notation for the series? 1 solutions Answer 222367 by palanisamy(496)   on 2010-06-03 08:30:07 (Show Source): You can put this solution on YOUR website!0+1+2+3+4+5+6+7+8+9= sigma n [n=0 to n=9]
 Equations/310927: how would you find the intercepts for the equations X+Y=56 and y/x=3/1 and where would they intersect if graphing? I am not sure I understand how to do this. Please help.1 solutions Answer 222362 by palanisamy(496)   on 2010-06-03 08:06:51 (Show Source): You can put this solution on YOUR website!The equation of the first line is x+y = 56 ...(1) To find the y - intercept put x = 0 (1) => 0+y = 56 y=56 So the y intercept is ( 0, 56) Next, To find the x - intercept put y = 0 (1) => x+0 = 56 x=56 So the x intercept is ( 56 , 0) The equation of the first line is y/x = 3/1 ...(2) y=3x This line passes through origin. So its x intercept is (0,0) and x intercept is (0,0) The poit of intersection is obtained by solving (1) and (2) I am unable to give you the graph here For more details and clear your doubts pl contact me kpalanisamy369@gmail.com Put y=3x in (1) We get x+3x=56 4x=56 x=56/4 x=14 y=3*14 y=42 So the point of intersection is ( 14,42)
 Polynomials-and-rational-expressions/309788: Solve i=prt for P , given that r =8%. t=1 year , and i=\$401 solutions Answer 221564 by palanisamy(496)   on 2010-05-30 09:37:43 (Show Source): You can put this solution on YOUR website!i=prt 40=p*0.08*1 p=40/(0.08) p=\$ 500
 Polynomials-and-rational-expressions/309789: Solve A=P+PRT for A given tha P =%1250, R=6 1/2 % , and T=15 years 1 solutions Answer 221562 by palanisamy(496)   on 2010-05-30 09:35:36 (Show Source): You can put this solution on YOUR website!A = P+PRT A=1250+1250*(.065)*15 A=1250+1218.75 A=\$ 2468.75
 Equations/309793: Factor completly 81x^2 - 441y^2 I was able to break down the first part but had problems breaking down the 441y^21 solutions Answer 221560 by palanisamy(496)   on 2010-05-30 09:31:22 (Show Source): You can put this solution on YOUR website!81x^2-441y^2 =(9x)^2-(21y)^2 =(9x+21y)(9x-21Y)