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# Recent problems solved by 'mananth'

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 test/361234: Theatre sold children ticket for \$6 and adult ticket for \$10. A total ticket of 80 tickets were sold for a performance bringing total \$720. How many type of ticket were sold? Adult= Children=1 solutions Answer 257642 by mananth(12270)   on 2010-10-25 10:45:07 (Show Source): You can put this solution on YOUR website!Theatre sold children ticket for \$6 and adult ticket for \$10. A total ticket of 80 tickets were sold for a performance bringing total \$720. How many type of ticket were sold? ... children ticket \$6 - x numbers adult \$10 --- 80-x numbers .. total = \$720 ... 6x+10(80-x)=720 6x+800-10x=720 -4x=720-800 -4x=-80 x= 20 child tickets 60 adult tickets ... m.ananth@hotmail.ca
 Percentage-and-ratio-word-problems/361229: A class of 198 recruits consists of three racial and ethic groups. If 1/3 are black and 1/4 of the remainder Hispanic, how many of the recruits in the class are white?1 solutions Answer 257641 by mananth(12270)   on 2010-10-25 10:40:50 (Show Source): You can put this solution on YOUR website!A class of 198 recruits consists of three racial and ethic groups. If 1/3 are black and 1/4 of the remainder Hispanic, how many of the recruits in the class are white? .. 198 recruits 1/3 black 1/3 *198= 66 black ... 198-66=132 balance ... 1/4 of 132 = hispanic 1/4 * 132=33 .. 132-33 = 99 whites ... m.ananth@hotmail.ca
 Word_Problems_With_Coins/361226: a coin collector has \$2.25 in nickels and dimes. She has 3 more dimes than nickels how many nickels does she have?1 solutions Answer 257640 by mananth(12270)   on 2010-10-25 10:35:42 (Show Source): You can put this solution on YOUR website!a coin collector has \$2.25 in nickels and dimes. She has 3 more dimes than nickels how many nickels does she have? .. let nickels be x dimes = x+3 .. 5x+10(x+3)=225 5x+10x+30=225 15x+30=225 add -30 15x=225-30 15x=195 x=195/15 x=13 nickels dimes = 16. ... 16*10+13*5=225 ... m.ananth@hotmail.ca
 Numeric_Fractions/361204: what is o.29 of 45?1 solutions Answer 257634 by mananth(12270)   on 2010-10-25 09:45:54 (Show Source): You can put this solution on YOUR website!0.29*45=13.05
 Average/361208: A can do a piece of work in 20 days which B can do it in 12 days. B worked at it for 9 days. A can finish remaining work in: a)3 b)5 c)7 d)111 solutions Answer 257633 by mananth(12270)   on 2010-10-25 09:43:59 (Show Source): You can put this solution on YOUR website!B does the job in 12 days so he does 1/12 of the job in 1 day. so he does 9/12 of the job in 9 days = 3/4 of the job. balance job will be 1/4 ... A does the job in 20 days so he does 1/20 of the job in 1 day. 1/4 of the job he will take .. (1/4)/(1/20) 1/4 *20 =5 days m.ananth@hotmail.ca
 Exponents/361149: 1 solutions Answer 257621 by mananth(12270)   on 2010-10-25 08:20:32 (Show Source): You can put this solution on YOUR website! ... .. 6-2 =4 ... m.ananth@hotmail.ca
 Travel_Word_Problems/361177: a train whose speed is 75 mph, takes three minutes to pass a car that is going 60 mph in the same direction. How long is the train?1 solutions Answer 257619 by mananth(12270)   on 2010-10-25 06:53:43 (Show Source): You can put this solution on YOUR website!a train whose speed is 75 mph, takes three minutes to pass a car that is going 60 mph in the same direction. How long is the train? .. difference in speed = 75-60 mph=15mph time = 3minutes = 3/60 hours = 1/20 hours length of train = 1/20 * 15 =3/4 mile 3/4 *5280=3960 feet ... m.ananth@hotmail.ca
 Travel_Word_Problems/361151: An express train and a local train leave Xanadu at 3p.m. and head for Nirvana 50 miles away. The express travels twice as fast as the local and arrives an hour ahead of the local. What is the speed of each train?1 solutions Answer 257618 by mananth(12270)   on 2010-10-25 06:43:38 (Show Source): You can put this solution on YOUR website!speed of local train =x mph speed of express = 2x .. d= 50 time local - time express =1 50/x - 50/2x= 1 (100-50) /2x=1 50=2x x= 25 mph local train express train speed = 50 mph ... m.ananth@hotmail.ca
 Points-lines-and-rays/361152: which line contains the point (6,-5) and has a slope of 2/3? a)y=-5/6x+1 b)y=3/2x+1 c)y=2/3x=91/3 d)y=2/3x-91 solutions Answer 257617 by mananth(12270)   on 2010-10-25 06:36:12 (Show Source): You can put this solution on YOUR website!option d
 Miscellaneous_Word_Problems/361164: the sum of 3 numbers is 98. the first number is 2/3 of the second, and the second is 5/8 of the third. what are the 3 numbers?1 solutions Answer 257615 by mananth(12270)   on 2010-10-25 06:29:05 (Show Source): You can put this solution on YOUR website!the sum of 3 numbers is 98. the first number is 2/3 of the second, and the second is 5/8 of the third. what are the 3 numbers? .. let third number be x second = 5x/8 first = 2/3*5x/8=5x/12 ... x+5x/8+5x/12= 98 LCM = 24 (24x+15x+10x)/24=98 49x=24*98 x=24*98/49 x=48 third number second number = 5/8*48=30 first number = 2/3*30=20 ... m.ananth@hotmail.ca
 Problems-with-consecutive-odd-even-integers/361168: The middle number of three increasing consecutive odd numbers is n. Express the product of the three numbers in terms of n.1 solutions Answer 257614 by mananth(12270)   on 2010-10-25 06:12:35 (Show Source): You can put this solution on YOUR website!The middle number of three increasing consecutive odd numbers is n. Express the product of the three numbers in terms of n. middle number is n the previous odd number will be n-2 the next odd number will be n+2 .. the product will be n(n-2)(n+2) ... m.ananth@hotmail.ca
 Travel_Word_Problems/361169: John drives from point A to B at speed of x miles per hour. On his way back, his speed is 10% faster. Which expression is his speed back?1 solutions Answer 257613 by mananth(12270)   on 2010-10-25 06:08:48 (Show Source): You can put this solution on YOUR website!return speed s = x+10/100*x s=x+0.1x s=1.1x ... m.ananth@hotmail.ca
 Linear-equations/361174: find x 1350=0.25x+1750-.035x show work 1 solutions Answer 257612 by mananth(12270)   on 2010-10-25 06:05:27 (Show Source): You can put this solution on YOUR website!1350=0.25x+1750-.035x multiply by 1000 to remove the decimals 1350000=250x+1750000-35x add -1750000 on both sides 1350000-1750000= 215x -40000=215x /215 -40000/215 =x x=1860.46 ... m.ananth@hotmail.ca
 Quadratic_Equations/361105: Jess here! I need some help! I am not good in math AT ALL and this includes intermediate Algebra (section 11.4). My teacher is requiring that we, the students, show every single step on how we obtained our answers. If someone could be so kind as to help me solve this problem (below), with every single required step on how you got your answer, I would be SO HAPPY and so GRATEFUL! Directions state: Solve the equation by making an appropriate substitution. x^4 - 〖40x〗^2+144=0 Thanks so very much!1 solutions Answer 257607 by mananth(12270)   on 2010-10-25 02:24:24 (Show Source): You can put this solution on YOUR website! ... m.ananth@hotmail.ca
 Triangles/361135: The hypotenuse of an isosceles right triangle is 2 centimeters longer than either of its legs. Find the exact length of each side. Thank you for your time and help.1 solutions Answer 257606 by mananth(12270)   on 2010-10-25 02:00:24 (Show Source): You can put this solution on YOUR website!The hypotenuse of an isosceles right triangle is 2 centimeters longer than either of its legs. Find the exact length of each side. let x be the legs x+2 = hypotenuse x^2+x^2=(x+2)^2 2x^2=x^2+4x+4 x^2-4x-4=0 use quadratic formula b^2-4ac= 32 .. x1=4.828 x2=-0.828 (ignore) legs are 4.828 cm hypotenuse = 6.828 cm ... m.ananth@hotmail.ca
 Quadratic_Equations/361107: Hello! I am working on quadratic equations this week, in my Algebra class (section 11.4, #7). At the current moment I am stumped and totally confused on this one problem we are required to do. Apart of the requirements for completing the assignment is to show every single step on how I got to my answer. I wasn't sure if anyone could help me, but I thought I would post to see who's the master at these type of equations. Thank you so much in advance for all your help! Directions: Solve the equation by making an appropriate substitution. x-〖2x〗^(1/2)-8=01 solutions Answer 257605 by mananth(12270)   on 2010-10-25 01:52:40 (Show Source): You can put this solution on YOUR website! ... add ... square both sides ... solve using quadratic formula discriminant = 68 x1= 13.123 x2=4.876 ... m.ananth@hotmail.ca
 Linear-equations/361110: Find the value of k so that the lines through the given points are parallel. Line 1:(-1,-9)and(-6,-6) Line 2:(-7,K)and(0,-2) 1 solutions Answer 257600 by mananth(12270)   on 2010-10-25 00:42:02 (Show Source): You can put this solution on YOUR website!(-1,-9)and(-6,-6) Line 2:(-7,K)and(0,-2) slope of line 1 = slope of line 2 m= (y2-y1)/(x2-x1) -6-(-9)/-6-(-1) =3/-5 ... (-7,K)and(0,-2) m=-2-k/0-(-7) m=-2-k/7 .. 3/-5 =(-2-k)/7 -5(-2-k)=7*3 10+k=21 k=21-10 k=11 ... m.ananth@hotmail.ca
 Travel_Word_Problems/361111: the speed of a train a goes 10mph slower then the speed of train b train a traveles 210 miles and train b traveles 260 miles find the speed of the trains?1 solutions Answer 257598 by mananth(12270)   on 2010-10-25 00:34:12 (Show Source): You can put this solution on YOUR website!the speed of a train a goes 10mph slower then the speed of train b train a traveles 210 miles and train b traveles 260 miles find the speed of the trains? ... train B x mph train A x-10 mph .. 210/(x-10)= 260/x 210x=260(x-10) 210x=260x-2600 50x = 2600 /50 x= 2600/50 x=52mph train B train A = 52-10=42 mph ... m.ananth@hotmail.ca
 Geometry_Word_Problems/361066: The length of a rectangle is 4 more than its width. The area is 60 sq. yards. Find the dimensions. 1 solutions Answer 257579 by mananth(12270)   on 2010-10-24 22:23:19 (Show Source): You can put this solution on YOUR website!let width be w length = w+4 .. area =60 w(w+4)=60 w^2+4w=60 w^2+4w-60=0 (w+10)(w-6)=0 w= 6 width length = 10 yards ... m.ananth@hotmail.ca
 Graphs/361035: . Joe’s electric made 25 customer calls last week and 22 calls this week. How many calls must bee made next week in order to maintain an average of 20 calls for the three week period. At least ? calls must be made to maintain an average of 20 calls . 1 solutions Answer 257568 by mananth(12270)   on 2010-10-24 21:33:13 (Show Source): You can put this solution on YOUR website!Joe’s electric made 25 customer calls last week and 22 calls this week. How many calls must bee made next week in order to maintain an average of 20 calls for the three week period. average required 20 in 3 weeks so total calls in 3 weeks will be 60. .. in 2 weeks 25+22=47 calls have been made. .. 60-47 = 13 calls minimum have to be made to average 20. ... m.ananth@hotmail.ca
 Linear-equations/361032: what is x when 100=500-.25x Show work1 solutions Answer 257566 by mananth(12270)   on 2010-10-24 21:30:44 (Show Source): You can put this solution on YOUR website!100=500-.25x multiply by 100 10000=50000-25x add -50000t0 both sides 10000-50000=50000-50000-25x -40000=-25x divide by -25 1600=x .. m.ananth@hotmail.ca ...
 Numbers_Word_Problems/361028: Three consecutive even integers are such that the sum of the smallest and three times the second is 38 more than twice the third I have no idea how to do this. Can you explain deeply how please?1 solutions Answer 257565 by mananth(12270)   on 2010-10-24 21:26:46 (Show Source): You can put this solution on YOUR website!Three consecutive even integers are such that the sum of the smallest and three times the second is 38 more than twice the third ... three consequtive even numbers x,x+2,x+4 .. x+3(x+2)=2(x+4)+38 x+3x+6=2x+8+38 4x+6=2x+46 4x-2x=46-6 2x=40 x=20 ... 20,22,24 ... m.ananth@hotmail.ca
 Geometry_Word_Problems/361012: The lenth of a rug is 6ft more than its width. the area is 40sq ft. Find the dimensions of the rug. 1 solutions Answer 257564 by mananth(12270)   on 2010-10-24 21:23:22 (Show Source): You can put this solution on YOUR website!let width be w length = w+6 ... area = L*W w(w+6)=40 w^2+6x=40 w^2+6x-40=0 (w+10)(w-4)=0 w=4 the width length = 10 ft .. m.ananth@hotmail.ca
 Expressions-with-variables/361013: Find the measure of an angle whose supplement measures 6 degrees more than 4 times its complement.1 solutions Answer 257562 by mananth(12270)   on 2010-10-24 21:19:53 (Show Source): You can put this solution on YOUR website!let angle be x complement = 90-x supplement =180-x 180-x=4(90-x)+6 180-x=360-4x+6 3x=360-180+6 3x=186 x=186/3 x=62 deg ... m.ananth@hotmail.ca
 Linear-equations/361023: what is x when 25=5+2x Show work1 solutions Answer 257561 by mananth(12270)   on 2010-10-24 21:16:56 (Show Source): You can put this solution on YOUR website!25=5+2x add -5 to both sides 25-5=5-5+2x 20=2x divide both sides by 2 20/2 = 2x/2 10=x ... m.ananth@hotmail.ca
 test/361020: 2(4x-3)-8=4x+2x1 solutions Answer 257560 by mananth(12270)   on 2010-10-24 21:15:12 (Show Source): You can put this solution on YOUR website!2(4x-3)-8=4x+2x .. 8x-6-8=4x+2x 8x-14=6x add -8x to both sides -8x+8x-14=6x-8x -14=-2x divide by -2 -14/-2 = -2x/-2 x=7 ... m.ananth@hotmail.ca
 Expressions-with-variables/361014: Find the measure of an angle whose supplement and complement add to 194 degrees.1 solutions Answer 257558 by mananth(12270)   on 2010-10-24 21:12:40 (Show Source): You can put this solution on YOUR website!let angle be x complement = 90-x supplement = 180-x .. 180-x+90-x= 194 270-2x=194 2x=270-194 2x=76 x= 38 deg ... m.ananth@hotmail.ca
 Travel_Word_Problems/361015: Two friends live 60 miles apart. The decide to ride their bikes to meet each other. Friend 1 rides at 21 mph. Friend 2 rides at 15 mph. They leave at the same time. How long will it take them to meet and how far did each one ride?1 solutions Answer 257557 by mananth(12270)   on 2010-10-24 21:10:37 (Show Source): You can put this solution on YOUR website!Two friends live 60 miles apart. The decide to ride their bikes to meet each other. Friend 1 rides at 21 mph. Friend 2 rides at 15 mph. They leave at the same time. How long will it take them to meet and how far did each one ride? .. distance = 60 miles friend1 =21 mph friend 2= 15 mph. they are riding towards each other so speed = 21+15 = 36 mph .. t=d/r t=60/36 =1.66 hours d=rt friend 1 distance = 1.66*21=35 miles friend 2 = 25 miles ... m.ananth@hotmail.ca
 Surface-area/361016: The length of a rectangle is 3 times the width. If the width were increased by 3 meters while the length remained the same, the new rectangle would have an area of 30 sq meters. Find the length and width of the original rectangle.1 solutions Answer 257555 by mananth(12270)   on 2010-10-24 21:06:44 (Show Source): You can put this solution on YOUR website!The length of a rectangle is 3 times the width. If the width were increased by 3 meters while the length remained the same, the new rectangle would have an area of 30 sq meters. Find the length and width of the original rectangle. ... let width be w length = 3w ... width w+3 length 3w 3w(w+3)=30 3w^2+9w-30=0 w^2+3w-10=0 (w+5)(w-2)=0 w=2 m the width length = 3w= 6 m ... m.ananth@hotmail.ca
 Volume/361017: how many cubic centimeters can a cigar box hold if its dimensions are 4cm by 16cm by 10 cm1 solutions Answer 257551 by mananth(12270)   on 2010-10-24 21:02:22 (Show Source): You can put this solution on YOUR website!volume of cuboid = L*W*H V=4*16*10 V= 640cu.cm ... m.ananth@hotmail.ca
 Surface-area/361019: The product of two consecutive integers is 29 more than the sum. What are the integers?1 solutions Answer 257549 by mananth(12270)   on 2010-10-24 21:00:46 (Show Source): You can put this solution on YOUR website!let the integers be x,x+1 x(x+1)= x+x+1+29 x^2+x=2x+1+29 x^2-2x+x-30=0 x^2-x-30=0 (x-6)(x+5)=0 x= 6 or -5 6,7 -5,-4 ... m.ananth@hotmail.ca