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# Recent problems solved by 'mananth'

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 Matrices-and-determiminant/408705: solve the system by the substitution method 6x-3y=3 10x=y+71 solutions Answer 287834 by mananth(13127)   on 2011-02-13 20:35:46 (Show Source): You can put this solution on YOUR website!6x-3y=3 10x=y+7 x= y+7/10 substitute the value of x in 6x-3y=3 6((y+7)/10-3y=3 3/5(y+7)-3y=3 multiply by 5 3(y+7)-15y=15 3y+21-15y=15 -12y=-6 divide by -12 y=1/2 plug value of y in the equation 10x=y+7 10x=1/2+7 10x=15/2 divide by 10 x=15/2 *1/10 x= 3/4
 Angles/408050: I don't understand how this problem get's set up The supplemental angle added to the complement of the angle gives 210 degrees. What is the measure of the angle?1 solutions Answer 287517 by mananth(13127)   on 2011-02-11 21:35:22 (Show Source): You can put this solution on YOUR website!let angle be x ... supplement = 180-x complement = 90-x .. 180-x+90-x=210 -2x+270=210 -270 -2x=-270+210 -2x=-60 /-2 x=30 the angle
 Circles/408054: If the circumference of the circle is 18 units what is the radius and the area?1 solutions Answer 287514 by mananth(13127)   on 2011-02-11 21:33:20 (Show Source): You can put this solution on YOUR website!2*pi*r=circumference 2*pi*r=18 divide by 2pi r=18/(2*pi) r=2.86
 Quadratic_Equations/407955: The flower garden has the shape of a right triangle. 51 ft of a perennial border forms the hypotenuse of the triangle, and one leg is 21 ft longer than other leg. Find the lengths of the legs. What are the lengths of the legs? 1 solutions Answer 287513 by mananth(13127)   on 2011-02-11 21:30:18 (Show Source): You can put this solution on YOUR website!x^2+(x+21)^2=51^2 x^2+x^2+42x+441=2601 2x^2+42x-2160=0 /2 x^2+21x-1080=0 x^2+45x-24x-1080=0 x(x+45)-24(x+45)=0 (x+45)(x-24)=0 x=24 which is positive one leg = 24 ft other leg = 45ft
 Travel_Word_Problems/408038: A passenger train leaves a train depot 2 hours after a freight train leaves the same depot. The freight train is traveling 20 mph slower than the passenger train. Find the rate of each train if the passenger train overtakes the freight train in 3 hours.1 solutions Answer 287505 by mananth(13127)   on 2011-02-11 20:53:38 (Show Source): You can put this solution on YOUR website!freight train = x mph passenger train = x+20 mph ... freight train time = 3 +2 = 5 hours passanger train = 3 hours .. distance same. because they meet .. 5x=3(x+20) 5x=3x+60 5x-3x=60 2x= 60 /2 x= 30mph speed of freight train passenger train speed = 30+20 = 50mph
 Polynomials-and-rational-expressions/408017: x^2-4x 7x-30 ---------- - --------- (x-5)(x+6) (x-5)(x+6)1 solutions Answer 287498 by mananth(13127)   on 2011-02-11 20:34:40 (Show Source): You can put this solution on YOUR website!x^2-4x 7x-30 ---------- - --------- (x-5)(x+6) (x-5)(x+6) Since the denominators are same
 Travel_Word_Problems/408033: If I am traveling 35mph going somewhere 8 miles away. How long will it take me to get there? What's the equation for this answer?1 solutions Answer 287496 by mananth(13127)   on 2011-02-11 20:27:25 (Show Source): You can put this solution on YOUR website! distance = 8 miles speed = 35 mph time = 8/35 hours =8/35 * 60 = 13.7 minutes
 Travel_Word_Problems/408034: a long distance trucker traveled 72 miles in one direction during a snow storm. The return trip in rainy weather was accomplished at double the speed and took 2 hours less time. find the speed going1 solutions Answer 287495 by mananth(13127)   on 2011-02-11 20:25:14 (Show Source): You can put this solution on YOUR website!a long distance trucker traveled 72 miles in one direction during a snow storm. The return trip in rainy weather was accomplished at double the speed and took 2 hours less time. find the speed going speed while going = x mph distance traveled = 72 miles .. speed while returning = 2x distance = 72 miles. .. Time going - time return = 2 hours .. t=d/r 72/x - 72/2x= 2 LCD=2x (144-72)/2x=2 72=4x /4 x=18 mph ====> speed while going
 test/408035: Please help me. I have this test within a month and I need to lean most of algebra 1 by then. The test will have problems such as 2+f=3+8 but 3 times harder. As well as graphing linear equations so can you teach me some things. 1 solutions Answer 287494 by mananth(13127)   on 2011-02-11 20:21:22 (Show Source): You can put this solution on YOUR website!what are the problems
 Points-lines-and-rays/408018: What is the equation of the line that passes through the point (6, -5) and is parallel to the line whose equation is 2x - 3y = 11? 1. y + 5 = 3/2 (x-6) 2. y = 2/3x + 1 3. y = -3/2x + 4 4. y + 5 - 2/3(x-6)1 solutions Answer 287493 by mananth(13127)   on 2011-02-11 20:20:19 (Show Source): You can put this solution on YOUR website!I will walk you through with one. (6, -5) and is parallel to the line whose equation is 2x - 3y = 11? 2x - 3y = 11 add 3y to both sides 2x=11+3y -11 2x-11=3y 3y=2x-11 /3 y= (2/3)*x-11/3 slope m = 2/3 The parallel line will have the same slope as that of the given line. so slope of the required line will be 2/3 .. line passes through (6,-5) plug the value of slope , and the point (6,-5) to find b the y intercept of the required line y=mx+b -5=2/3 *6+b -5=4+b b=-9 ... so the equation has slope 2/3 and y intercept -9 y=(2/3)x-9 ... CHECK
 Travel_Word_Problems/408032: I have a word problem here that I cant figure out the question says A car and a bus set out at 3 p.m. from the same point headed in the same direction. The average speed of the car is twice the average speed of the bus. in 2 hours the car is 68 miles ahead of the bus. find the rate of the car 1 solutions Answer 287492 by mananth(13127)   on 2011-02-11 20:09:40 (Show Source): You can put this solution on YOUR website!speed of bus = xmph speed of car =2x mph .. since they are travelling in the same direction the resulting speed will be 2x-x=x mph. .. speed = distance/time distance apart = 68 miles time = 2 hours speed =x .. 2 = 68/x multiply by x 2x=68 this is the speed of the car ===> 68 mph
 Square-cubic-other-roots/408020: What is the factor of 250a cubed +16 1 solutions Answer 287491 by mananth(13127)   on 2011-02-11 20:04:56 (Show Source): You can put this solution on YOUR website!250a cubed +16
 Travel_Word_Problems/407757: A woman can bicycle 28 miles in the same time as it takes her to walk 8 miles. She can ride 10 mph faster than she can walk. How fast can she walk? 1 solutions Answer 287360 by mananth(13127)   on 2011-02-11 04:22:50 (Show Source): You can put this solution on YOUR website!walk rate = x mph cycling rate = x+10 mph walking distance = 8 miles cycling distance = 28 miles .. t= d/r .. time riding = time walking 8/x=28/(x+10) cross multiply 8(x+10)=28x 8x+80=28x 28x-8x=80 20x=80 /20 x= 4 walking rate cycling rate = 4+10 =14 mph
 Linear-systems/407761: how do you solve 5x-7y=9,4x-3y=331 solutions Answer 287359 by mananth(13127)   on 2011-02-11 04:17:18 (Show Source): You can put this solution on YOUR website!5x-7y=9 .............1 4x-3y=33.............2 multiply (1)by -4 Multiply (2) by 5 -20x+28y=-36 20x-15y=165 Add the two equations 13y=129 /13 y=9.92 Plug value of y in 5x-7y=9 5x-69.46 = 9 5x=78.46 /5 x=15.69
 Equations/407768: Two cars leave towns 400 kilometers apart at the same time and travel toward each other. One car's rate is 18 kilometers per hour less than the other's. If they meet in 2 hours, what is the rate of the slower car? Do not do any rounding. 1 solutions Answer 287357 by mananth(13127)   on 2011-02-11 04:05:17 (Show Source): You can put this solution on YOUR website!one ar speed = x other car speed = x-18 .. they are travelling towards each other. so combined speed = x+x-18= 2x-18 .. t=d/s 2= 400/(2x-18) divide by 2 1= 200/(2x-18) 2x-18=200 2x=200+18 2x=218 /2 x=109 speed of one car speed of other car === > x-18===> 109-18=91mph
 Reduction-of-unit-multipliers/407179: please help me. How do I write the equivalent rate ? (15 mi/ 1h equals how many feet over 1h) 1 solutions Answer 287058 by mananth(13127)   on 2011-02-10 01:55:36 (Show Source): You can put this solution on YOUR website!1 mile = 5280 feet 15 mi = 15*5280 79,200 feet /hour
 Mixture_Word_Problems/407187: a nurse wants to add water to 30 ounces of a 10% solution of benzakonium chloride to dilute it to an 8% solution how much water must she add? I'm not sure if I doing it right 8(x+30) + 0.10x1 solutions Answer 287056 by mananth(13127)   on 2011-02-10 01:38:10 (Show Source): You can put this solution on YOUR website! percent ---------------- quantity solution10 ---------------- 30 water 0 ---------------- x Total 8 ---------------- 30+x 10*30+0*x=8(30+x) 300+0 =240+8x -8x=240 -300 -8x=-60 /-8 x=7.5 liters of water
 Quadratic_Equations/407189: Solve 3x^2-5x+2=01 solutions Answer 287055 by mananth(13127)   on 2011-02-10 01:29:43 (Show Source): You can put this solution on YOUR website!3x^2-5x+2=0 3x^2-3x-2x+2=0 3x(x-1)-2(x-1)=0 (3x-2)(x-1)=0 x= 1 OR 2/3
 Quadratic_Equations/407191: Solve 7x^2-12x+3=01 solutions Answer 287054 by mananth(13127)   on 2011-02-10 01:27:16 (Show Source): You can put this solution on YOUR website!7x^2-12x+3=0 Find the roots of the equation by quadratic formula a= 7 , b =-12 , c =3 . b^2-4ac=60 ... x1=1.41 x2=0.30
 Human-and-algebraic-language/406665: Three times the sum of a number and nine1 solutions Answer 286886 by mananth(13127)   on 2011-02-09 08:23:07 (Show Source): You can put this solution on YOUR website!3(x+9)
 Travel_Word_Problems/406664: Two cars leaves denver at the same time and travel in opposite directions. one car travels 10 mi/h faster than the other car. The cars are 500 mi apart in 5 h. How fast is each car traveling?1 solutions Answer 286885 by mananth(13127)   on 2011-02-09 08:22:19 (Show Source): You can put this solution on YOUR website!car speed = x other car speed = x+10 .. The combined speed = x+x+10= 2x+10 D= 500 miles rate = 2x+10 time = 5 500/(2x+10)=5 cross multiply 500 = 5(2x+10) 500=10x+50 10x=450 /10 x=45 mph other car = x+10 = 55 mph
 Inequalities/406663: Which is the value of x when 6x +12 > 0?1 solutions Answer 286884 by mananth(13127)   on 2011-02-09 08:18:20 (Show Source): You can put this solution on YOUR website!6x +12 > 0 add -12 6x>-12 /6 x>-2
 Pythagorean-theorem/406649: Hello...Can someone please help me with this question:A cable television company needed to wire from its box at the corner of a lot to a corner of a house. The owner knew the house was 15ft. from the side of the lot and 60ft from the back of the lot. How much wire was needed to go from the box to the house?(To be rounded to the nearest tenths)...Thank you in advance!1 solutions Answer 286883 by mananth(13127)   on 2011-02-09 08:01:47 (Show Source): You can put this solution on YOUR website!Basically they form a right triangle Hypotenuse is the wire length leg1=15ft leg2=60 ft .. 15^2+60^2= wire length^2 225 +3600=wire length^2 3825= wire length ^2 wire length = sqrt(3825) wire length =61.8 ft
 expressions/406654: could someone please check this problem for me to see if I am doing it right? 1)-1/2-(-5/8) = -4/8+5/8 = (-4+5)/8= 1/81 solutions Answer 286881 by mananth(13127)   on 2011-02-09 07:56:51 (Show Source): You can put this solution on YOUR website!You are right
 Angles/406657: Find the measure of the supplement of R, where mR=(8z+10)1 solutions Answer 286879 by mananth(13127)   on 2011-02-09 07:55:25 (Show Source): You can put this solution on YOUR website!R= (8z+10) supplement = 180-(8z+10) supplement = 180-8z-10 supplement = 170-8z
 expressions/406659: Could someone please help me with this problem? I need to Evaluate: (–3)(–6) + (4)(–2) I am not sure how to do this I would appreciate the help.1 solutions Answer 286878 by mananth(13127)   on 2011-02-09 07:53:51 (Show Source): You can put this solution on YOUR website!–3)(–6) + (4)(–2) (+18)+(-8) (+18-8) 10
 Radicals/406643: what is the quare root of 48 to the 4th power. 1 solutions Answer 286874 by mananth(13127)   on 2011-02-09 05:40:15 (Show Source): You can put this solution on YOUR website! =2304
 Expressions-with-variables/406601: christy has a coin collection consisting of nickels and dimes. she has 28 coins worth \$2.25. how many of each type of coin does she have?1 solutions Answer 286872 by mananth(13127)   on 2011-02-09 05:27:02 (Show Source): You can put this solution on YOUR website!nickels x dimes 28-x Total 28 Value 2.25 = 225 cents 5*x+10*(28-x)= 225 5x+280- 10x=225 -5x=-55 /5 x=11 Nickels Dimes 17
 Money_Word_Problems/406623: There is a collection of nickles, dimes, and quarters with the total value \$52.10. There are 56 more dimes than nickles. There are 3 times as many quarters as dimes. How many quarters are in the collection?1 solutions Answer 286871 by mananth(13127)   on 2011-02-09 04:50:27 (Show Source): You can put this solution on YOUR website!nickels x dimes x+56 quarters3(x+56) Value 52.1 5x+10(x +56)+25 *3(x+56)=5210 5x+10x+560+75x+4200=5210 90x+4760=5210 90x=5210-4760 90x=450 /90 x=5 nickels dimes= 61 quarters=183
 Pythagorean-theorem/406632: Hi...Can someone please help me with this problem:A 10-m ladder is leaning against a building. The bottom of the ladder is 5m from the building.How high is the top of the building?(To be rounded to the nearest tenths)..Thank you in advance!:)1 solutions Answer 286869 by mananth(13127)   on 2011-02-09 04:00:22 (Show Source): You can put this solution on YOUR website!The ladder , ground & the wall form a right triangle. the ladder is the hypotenuse. leg1^2+leg2^2=Hypotenuse^2 5^2+leg2^2=10^2 25+leg2^2=100 leg2^2=100-25 leg2^2=75 leg2 = sqrt75 leg 2= 8.7 feet the height of the wall