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# Recent problems solved by 'mananth'

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 Quadratic_Equations/366759: please help me find the real solution of this equation by factoring 1 solutions Answer 261422 by mananth(12270)   on 2010-11-06 01:57:12 (Show Source): You can put this solution on YOUR website! ... ... ... ... now you know what the roots are ... m.ananth@hotmail.ca
 Miscellaneous_Word_Problems/366631: Graph the quadratic function f(x)= -2x^2+8x+8. State the ordered pairs representing the x-intercept(s), y-intercept(if any), and the vertex of the parabola.1 solutions Answer 261420 by mananth(12270)   on 2010-11-06 01:49:47 (Show Source): You can put this solution on YOUR website!-2x^2+8x+8 plug x = 0 for y intercept =8 solve the equation for roots x1,x2 discriminant = 128 ... x1=4.8 x2=-0.8 xintercepts (-0.8,0) (4.8,0) y intercept = (0,-8) vertex = (2,-16) ... ... m.ananth@hotmail.ca
 Square-cubic-other-roots/366740: Divide. Then simplify by taking roots, if possible. Assume all expressions under radicals represent positive numbers. sqrt400xy then under that is 2*sqrt2 1 solutions Answer 261418 by mananth(12270)   on 2010-11-06 01:32:11 (Show Source): You can put this solution on YOUR website! .. ... .. ... m.ananth@hotmail.ca
 Quadratic_Equations/366752: please help me find the find real solution to 1 solutions Answer 261416 by mananth(12270)   on 2010-11-06 01:24:47 (Show Source): You can put this solution on YOUR website! .. .. .. .. x=-2,2 ... m.ananth@hotmail.ca
 percentage/366743: The price of pair of shoes is reduced in a discount sale.If the present price is Rs.360.Find its original price.1 solutions Answer 261404 by mananth(12270)   on 2010-11-05 23:56:27 (Show Source): You can put this solution on YOUR website!Reduced price = Rs. 360 .. it can be anything above Rs. 360 depending on percent discount. .. i think you have missed out something ... m.ananth@hotmail.ca
 Complex_Numbers/366592: a boats crew rowed 18 miles downstream with the current in 2 hrs the return trip upstream against the current covered the same distance but took 4.5 hours. find the crews rowing rate in still water and the rate of the current. the crew rowing rate in still water is --------- m.p.h the rate of the current is -------------m.p.h1 solutions Answer 261402 by mananth(12270)   on 2010-11-05 23:53:19 (Show Source): You can put this solution on YOUR website!a boats crew rowed 18 miles downstream with the current in 2 hrs the return trip upstream against the current covered the same distance but took 4.5 hours. find the crews rowing rate in still water and the rate of the current. the crew rowing rate in still water is --------- m.p.h the rate of the current is -------------m.p.h ... let speed of boat be x mph let current speed be y mph .. upstream distance = 18 miles speed = x-y mph time = 18/(x-y)= 4.5hours 18=4.5(x-y) divide by 4.5 x-y =4 ..............................1 ... downstream distance = 18 miles speed = x+y time = 18/(x+y)=2 18=2(x+y) /2 x+y=9................................2 add 1 & 2 2x=13 /2 x=6.5 mph ..... speed of boat plug value of x in equation 1 we get y= 2.5 mph..... speed of current ... m.ananth@hotmail.ca
 Travel_Word_Problems/366532: you are in a airport it takes you one hour longer to flyy to cincinnati at 200mph than it does to return at 250 mph how far away is cincinnati from the airport you are currently in1 solutions Answer 261400 by mananth(12270)   on 2010-11-05 23:41:23 (Show Source): You can put this solution on YOUR website!let cincinati distance be x miles speed = 200 mph .. time to cincinnati = x/200 .. return speed = 250 mph return time = x/250 .. x/200 - x/250 =1 (250x-200x) / 250*200=1 50x = 250*200 /50 x= 250*200/50 x= 1000 miles ... m.ananth@hotmail.ca
 Equations/366742: The length of a rectangle is 6 feet more than twice the width. If the length is 24 feet, what is the width?1 solutions Answer 261399 by mananth(12270)   on 2010-11-05 23:36:59 (Show Source): You can put this solution on YOUR website!let width be x feet length = 2x+6 ... but length = 24 .. 2x+6 =24 -6 2x+6-6 = 24-6 2x=18 /2 x=9 the width m.ananth@hotmail.ca
 Expressions-with-variables/366712: 1 solutions Answer 261391 by mananth(12270)   on 2010-11-05 23:18:28 (Show Source): You can put this solution on YOUR website! add -36 ... multiply by 5 ... m.ananth@hotmail.ca
 Travel_Word_Problems/366734: Boris hiked up a mountain trail and camped overnight at the top. The next day he returned down the same trail. His average rate traveling uphill was 2.4 kilometers per hour and his average rate downhill was 3.6 kilometers per hour. If he spent a total of 11 hours hiking, how long was the trail?1 solutions Answer 261388 by mananth(12270)   on 2010-11-05 23:14:21 (Show Source): You can put this solution on YOUR website!up mountain let distance be x km speed = 2.4 time = x/2.4 .. down the mountain speed = 3.6 km/h time = x/3.6 ... x/2.4 +x/3.6 = 11 (3.6x+2.4x)/3.6*2.4=11 6x= 11*3.6*2.4 /6 x=11*3.6*2.4 /6 x=15.84 km ..... ... m.ananth@hotmail.ca
 Linear-systems/366739: V = πr2h; solve for h. NOTE: THE NUMBER 2 IS AN EXPONENT.1 solutions Answer 261382 by mananth(12270)   on 2010-11-05 23:06:48 (Show Source): You can put this solution on YOUR website! divide by pi*r^2 ... m.ananth@hotmail.ca
 Linear-systems/366706: Solve the system of linear equations using any method. 2x + y = 5 and 4x + 3y = 11 1 solutions Answer 261350 by mananth(12270)   on 2010-11-05 21:45:03 (Show Source): You can put this solution on YOUR website!2x + y = 5 .................1 4x + 3y = 11................2 ... multiply equation 1 by -2 we get -4x-2y=-10 add to equation2 3y-2y=11-10 y = 1 .. plug value of y in equation 1 2x+1=5 2x=5-1 2x=4 x=2 .. m.ananth@hotmail.ca
 Geometry_Word_Problems/366702: Draw triangle ABC. Label angle A 30 degrees, angle B 70 degrees and angle C 80 degrees. List the sides in order from shortest to longest.1 solutions Answer 261349 by mananth(12270)   on 2010-11-05 21:41:18 (Show Source): You can put this solution on YOUR website!AB -----AC----BC ...
 Equations/366700: Can you convert this sentence into an algebraic equation and then solve it 5 more than twice a number is 29 1 solutions Answer 261348 by mananth(12270)   on 2010-11-05 21:39:30 (Show Source): You can put this solution on YOUR website!let number be x twice the number = 2x 5 more = 2x+5 2x+5 =29 .. add-5 2x+5-5 = 29-5 2x=24 /2 x= 12 ... m.ananth@hotmail.ca
 Equations/366703: A children's inflatable pool takes 22 minutes to fill with an electrical pump. It takes 49 minutes to let the air out of the pool. If the pool's valve is accifentally left open, how long will it take to fill the pool?1 solutions Answer 261347 by mananth(12270)   on 2010-11-05 21:37:18 (Show Source): You can put this solution on YOUR website!takes 22 minutes to fill so it does 1/22 of the job in 1 minute .. 49 minutes to deflate so it does 1/49 of the job in 1 minute. .. effective filling in 1 minute will be 1/22-1/49 (49-22)/22*49 27/22*49 = 0.025 of the job is done in 1 minute when both are on 1/0.025 = 40 hours ... m.ananth@hotmail.ca
 Angles/366630: In triangle ABC, angle B is five times as large as angle C. Angle A measures 5 degrees more than angle C. Calculate the angles of the triangle(angles A,B,C_. The sum of all angles equal 180 degrees. 1 solutions Answer 261346 by mananth(12270)   on 2010-11-05 21:32:05 (Show Source): You can put this solution on YOUR website!let angle c be x angle b = 5x angle a = x+5 ... x+x+5+5x= 180 7x+5=180 7x=180-5 7x=175 /7 x=25 deg. ....angle c angle b = 5x= 125 angle a = x+5 = 30 ... m.ananth@hotmail.ca
 Mixture_Word_Problems/366657: a paddle wheeler goes 10 miles against the current in a river in the same time that it goes 15 miles with the current. If the speed of the current is 3 mph, find the speed of the boat in the water.1 solutions Answer 261344 by mananth(12270)   on 2010-11-05 21:23:44 (Show Source): You can put this solution on YOUR website! let speed of boat be x mph speed of current = 3mph ..speed upstream x-3 mph distance =10 time upstream = 10/(x-3) .. downstream speed = x+3 distance = 15 miles time = 15/(x+y) .. times are same 10/(x-3)=15/(x+3) 10(x+3)=15(x-3) 10x+30=15x-45 15x-10x=45-30 5x=15 x= 3 mph.... speed of boat ... m.ananth@hotmail.ca
 Polynomials-and-rational-expressions/366697: 1. The area of a rectangular card is 128cm^2. The length of the card is twice its width. What are the dimensions of the card? 1 solutions Answer 261340 by mananth(12270)   on 2010-11-05 21:14:36 (Show Source): You can put this solution on YOUR website!let width of card be w length = 2w .. Area = L*W w*2w= 128 2w^2=128 /2 w^2= 64 take square root w= 8 cm..... thw width length = 2w = 16 cm ... m.ananth@hotmail.ca
 Proportions/366663: (word problem) Jack and Joe leave their homes at the same time and drive toward each other. Jack drives at 60mph, while Joe drives at 30mph. They pass each other in 10 minutes. How far apart were Jack and Joe when they started?1 solutions Answer 261339 by mananth(12270)   on 2010-11-05 21:12:21 (Show Source): You can put this solution on YOUR website!Jack speed = 60mph Joe speed = 30 mph .. travelling towards each other so speed = 30+60 =90 mph. let distance be x when they start. time take = 10 minutes = 1/6 hour .. d= r*t d= 90*1/6 d= 15 miles. ... m.ananth@hotmail.ca
 Linear-equations/366680: solve using addition method x - 2y = -1 and -x + 5y = 41 solutions Answer 261337 by mananth(12270)   on 2010-11-05 21:07:40 (Show Source): You can put this solution on YOUR website!x - 2y = -1 -x + 5y = 4 add up -2y+5y=-1+4 +3y=3 /3 y=1 .. plug value of y in first equation x-2=-1 x=+2-1 x=1 ... m.ananth@hotmail.ca
 Human-and-algebraic-language/366689: 6x^4-19x@+15=0 solve for x?1 solutions Answer 261332 by mananth(12270)   on 2010-11-05 21:04:46 (Show Source): You can put this solution on YOUR website!6x^4-19x^2+15=0 6x^4-10x^2-9x^2+15=0 2x^2(3x^2-5)-3(3x^2-5)=0 (3x^2-5)(2x^2-3)=0 .. m.ananth@hotmail.ca
 Graphs/366421: thanks for answering my question. I have one more. The problem is, Find the slope and y-intercept of the line. 9x-3x=54. do I use Y=mx+? 1 solutions Answer 261148 by mananth(12270)   on 2010-11-05 06:58:46 (Show Source): You can put this solution on YOUR website!whwre is th y? .. m.ananth@hotmail.ca
 Travel_Word_Problems/366462: kara and jennifer are selling boxes of chocolate to raise money for their senior trip to the the grand canyon. customers can buy small boxes of chocolates and large boxes of chocolate. kara sold 11 small boxes and 11 large boxes for a total of 220. jennifer sold 3 small boxes and 14 large boxes for a total of 203. what would be my total if i purchase 2 small and 2 large boxes from jennifeer1 solutions Answer 261147 by mananth(12270)   on 2010-11-05 06:55:05 (Show Source): You can put this solution on YOUR website!let cost of small box be \$x large box be \$y KARA 11x+11y=220 /11 x+y =20.................1 Jennifer 3x+14y = 203............2 ... multiply equation 1 by -3 we get -3x-3y=-60 add this to equation 2 11y = 203-63 11y=143 /11 y=13 price of large box .. plug value of y in 1 x+y=20 x+13=20 x=20-13 x= 7 price of small box. .. Price of 2 small & 2 large = 2*7+2*13= \$40 .. m.ananth@hotmail.ca
 Geometry_Word_Problems/366428: A rectangular garden is surrounded by a walk of uniform width. The area of the garden is 180 square yards. If the dimentions of the garden plus the walk are 16 yards by 25 yards, find the width of the walk.1 solutions Answer 261145 by mananth(12270)   on 2010-11-05 06:46:08 (Show Source): You can put this solution on YOUR website!A rectangular garden is surrounded by a walk of uniform width. The area of the garden is 180 square yards. If the dimentions of the garden plus the walk are 16 yards by 25 yards, find the width of the walk. ... let the width of the sidewalk be x dimensions of garden will be 25-2x , 16-2x Area = L*W .. (25-2x)(16-2x)=180 400-50x-32x+4x^2=180 4x^2-82x+400-180=0 4x^2-82x+220=0 /2 2x^2-41x+110=0 discriminant = 801 x1= (41+sqrt(801))/4 x1=17.32 yards ( not possible ) x2=(41-sqrt(801))/4 x2= 3.17 yards ... m.ananth@hotmail.ca
 Polynomials-and-rational-expressions/366437: Could someone help me with this word problem.I do not have a clue on how to do this. A 150-ft diagonal brace on a bridge connects a support of the center of the bridge to a side support on the bridge. The horizontal distance that it spans is 30 ft longer that the height that it reaches on the side of the bridge. Find the horizontal and vertical distances spanned by this brace.1 solutions Answer 261141 by mananth(12270)   on 2010-11-05 06:34:54 (Show Source): You can put this solution on YOUR website!the diagonal brace =150 feet the vertical height on the side of bridge = x the horizontal height = x +30 .. they form a right triangle. use pythagoras formula x^2+(x+30)^2=150^2 x^2+x^2+60x+900=150^2 2x^2+60x+900=22500 2x^2+60x-21600 /2 x^2+30x-10800 x^2+120x-90x-10800=0 x(x+120)-90(x+120)=0 (x-90)(x+120)=0 x= 90 vertical distance horizontal = 90+30 =120 feet ... m.ananth@hotmail.ca
 Linear_Equations_And_Systems_Word_Problems/366441: Josiah kept track of his favorite stock over a 7-day period. The price of that stock each day is listed below. Day1-50.25 Day2-49.75 Day3-49.25 Day4-48.75 Day5-48.25 Day6-47.75 Day7-47.25 Write the equation that represents the value(V), of the stock after(d)days.1 solutions Answer 261140 by mananth(12270)   on 2010-11-05 06:25:49 (Show Source): You can put this solution on YOUR website!let the number of days be d V= 50.25 - 0.50d ... m.ananth@hotmail.ca
 Rational-functions/366459: 8a power of 9 divided by 4a power of 4 = ?1 solutions Answer 261139 by mananth(12270)   on 2010-11-05 06:23:25 (Show Source): You can put this solution on YOUR website! ... m.ananth@hotmail.ca
 Expressions-with-variables/366446: V = πr2h; solve for h (Note "2" is an exponent)1 solutions Answer 261137 by mananth(12270)   on 2010-11-05 06:21:19 (Show Source): You can put this solution on YOUR website! divide by pi*r^2 ... m.ananth@hotmail.ca
 Miscellaneous_Word_Problems/366452: A movie theater is 3 blocks due north of a supermarket and a beauty parlor is 4 blocks due east of the movie theater. How many blocks long is the street that runs directly from the supermarket to the beauty parlor? 1 solutions Answer 261135 by mananth(12270)   on 2010-11-05 06:17:34 (Show Source): You can put this solution on YOUR website!they form a rught triangle. parlor to movie theater acts a hypotenuse 3^2+4^2=hyp^2 9+16 = hyp^2 25= hyp^2 5 = hyp ... parlor to movie theater is 5 blocks distance ... m.ananth@hotmail.ca
 Linear-equations/366453: write an equation in slope intercept form for th line that satisfies the following condition. passes through (10,16) perpendicular to the graph of 9x+12y=15 1 solutions Answer 261133 by mananth(12270)   on 2010-11-05 06:14:31 (Show Source): You can put this solution on YOUR website!write an equation in slope intercept form for th line that satisfies the following condition. passes through (10,16) perpendicular to the graph of 9x+12y=15 .. 9x+12y=15 12y=-9x+15 /12 y=-9/12 x +15/9 y = -3/4 *x +5/3 ... slope = -3/4 a line perpendicular to the given line will be 4/3 .. point( 10,16) (y-16)=4/3(x-10) y-16 = 4/3 *x -40/3 y= 4/3*x-40/3+16 y=4x/3 +8/3 .. .. m.ananth@hotmail.ca
 Miscellaneous_Word_Problems/366457: a boat traveled 420 miles downstream and 420 miles back upstream. the trip downstream took 20 hours. the trip back took 140 hours. what is the speed of the boat in still water. what is the speed of the current1 solutions Answer 261130 by mananth(12270)   on 2010-11-05 06:03:27 (Show Source): You can put this solution on YOUR website!let speed of boat with no current be x mph speed of current be y .. downstream 420/(x+y)=20 420 = 20x+20y 21=x+y.....................1 upstream 420/ x-y=140 420 = 140(x-y) 420=140x-140y 3=10x-10y...................2 multiply equation 1 by 10 210=10x+10y add this to equation 2 213=20x x=213/20 x=10.65 mph ... speed of boat in still water x+y =21 y=21-10.65 y= 9.35 mph ... speed of current ... m.ananth@hotmail.ca