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mananth answered: 12270 problems
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Quadratic_Equations/384599: solve for x: 5x^2 + 10x + 5 = 7 1 solutions Answer 272245 by mananth(12270)   on 2010-12-11 20:30:15 (Show Source): You can put this solution on YOUR website! 5x^2 + 10x + 5 = 7 ... 5x^2+10x-2 ... solve using quadratic formula .. a=5,b=10,c=-2 .. x1=0.183 ... x2=-2.183 ... m.ananth@hotmail.ca

Quadratic_Equations/384598: solve for x: 9(x + 4)^2 - 7 = 0 1 solutions Answer 272243 by mananth(12270)   on 2010-12-11 20:23:30 (Show Source): You can put this solution on YOUR website! 9(x + 4)^2 - 7 = 0 ... 9(x+4)^2=7 ... /9 (x+4)^2= 7/9 ... ... (x+4)=+/- sqrt(7/9) x= -4+sqrt(7/9) OR x=-4-sqrt(7/9) ... m.ananth@hotmail.ca

Linear-equations/384593: write an equation of the line that passes through (2,3) & (-3,4) 1 solutions Answer 272241 by mananth(12270)   on 2010-12-11 20:15:20 (Show Source): You can put this solution on YOUR website! (2,3) & (-3,4) slope m = y2-y1/x2-x1 ... m= 4-3 / -3-2 m=-1/5 .. y = mx+b point(2,3) find b 3=-1/5*2+b 3+2/5 =b 17/5 =b ... y= mx + b y=(-1/5)x+17/5 y=-x/5+17/5 ... m.ananth@hotmail.ca

Volume/384589: A racquet ball has a diameter of 5.5 cm. Racquet balls are shipped in cylindrical containers that just hold two balls. What is the surface area of the material required to make one container? 1 solutions Answer 272236 by mananth(12270)   on 2010-12-11 20:10:05 (Show Source): You can put this solution on YOUR website! diameter of ball = 5.5 cm So diamter of cylinder = 5.5 cm. .. the can holds two balls. so height = 11 cm. .. Total surface area = 2pi*r^2+ 2*pi*r*h A=2*pi*2.25^2+2*pi*2.25*11 A = 187.3 sqcm ... m.ananth@hotmail.ca

Travel_Word_Problems/384584: A cop car is traveling at 50 miles per hour and is chasing a robber that is traveling at 45 miles per hour and is 20 miles away. How long will it take the cop to catch up to the robber. 1 solutions Answer 272234 by mananth(12270)   on 2010-12-11 20:01:18 (Show Source): You can put this solution on YOUR website! cop car 50 mph robber's car 45 mph. .. catch up speed = 5 mph. distance = 20 miles .. catch up time = 20/5 = ... m.ananth@hotmail.ca .

Travel_Word_Problems/384402: a man travels at certain distance at the rate of 70km/hour and return at the same point at the rate of 55 km/hour .What is the average speed of the journey ? 1 solutions Answer 272132 by mananth(12270)   on 2010-12-11 08:34:58 (Show Source): You can put this solution on YOUR website! distance = x rate = 70 km/h .. time x/70 .. return time= x/55 ... Total Average rate = total distance/total time =2x/(x/70+x/55) =2x/(125x/3850) =2x*3850/125x =61.5 km/h .. There is an easy solution. let him drive for 1 hour so forward journey he takes 1 hour. distance he travels = 70 km RETURN distance = 70 rate = 55 time = 70/55= 1.27 hours Total time taken = 1+1.27= 2.27 hours total distance = 140 km rate = 140/2.27 average rate for entire journey = 61.6 km/h ... m.ananth@hotmail.ca

Linear-equations/384394: 1 solutions Answer 272129 by mananth(12270)   on 2010-12-11 08:10:58 (Show Source): You can put this solution on YOUR website! ... .. ... .. ... /2 ... ... ... ... -11x+132x=4356-24 .. 121x=4332 /121 x=4332/121 x=35.8 ... m.ananth@hotmail.ca ... CHECK sqrt(35.8-3)+sqrt(35.8-8)=10.999

Equations/384396: What is the answer to 6t+5(5t-3)? 1 solutions Answer 272126 by mananth(12270)   on 2010-12-11 07:39:30 (Show Source): You can put this solution on YOUR website! 6t+5(5t-3) 6t+25t-15 31t-15

Linear-equations/384395: 1 solutions Answer 272125 by mananth(12270)   on 2010-12-11 07:38:11 (Show Source): You can put this solution on YOUR website! ... cross multiply (4x-3)(4x-1)=(8x-5)(2x-3) ... 16x^2-16x+3=16x^2-34x+15 .. -16x+34x=15-3 18x=12 /18 x=12/18 x=2/3 ... m.ananth@hotmail.ca

Expressions-with-variables/384309: 5y+4y=19 y=6x-3 solve by the substitution method and by showing the steps. 1 solutions Answer 272118 by mananth(12270)   on 2010-12-11 06:42:39 (Show Source): You can put this solution on YOUR website! 5y+4y=19 y=6x-3 9y=19 substitute y in 9y=19 9(6x-3)=19 54x-27=19 +27 54x=46 x=46/54 x=23/27 .. m.ananth@hotmail.ca .. y=(6*23/27)-3 y=138/27 -3 y=(138-81)/27 y=57/27 y=19/9 ... m.ananth@hotmail.ca

Geometry_Word_Problems/384389: Two sides of a triangle are equal in length. The length of the third side is three meters less than the sum of the lengths of the two other sides. Find the length of the longest side of the triangle if the perimeter is 29 meters. 1 solutions Answer 272115 by mananth(12270)   on 2010-12-11 06:22:34 (Show Source): You can put this solution on YOUR website! Two sides of a triangle are equal in length. The length of the third side is three meters less than the sum of the lengths of the two other sides. Find the length of the longest side of the triangle if the perimeter is 29 meters. ... one side = x other side =x third side= 2x-3 .. x+x+2x-3=29 4x-3=29 +3 +3 4x=32 /4 x=8 x=8 meters Longest side = 2x-3 = 16-3=13 meters ... CHECK 8+8+13=29 meters ... m.ananth@hotmail.ca

Linear-equations/384382: 1 solutions Answer 272114 by mananth(12270)   on 2010-12-11 06:16:10 (Show Source): You can put this solution on YOUR website! ... ... ... LCD =((m-2)/(m-3)) .. ... ... multiply by (m-2)(m-3) ,,,, -m-3=0 m=-3 ... CHECK ... ((-3-8)/((-3-3)(-3-2)))+((-3-3)/(-3-2))- ((-3-2)/(-3-3))=0 ... m.ananth@hotmail.ca

Age_Word_Problems/384385: Yoshi is 12 years older than his sister. Six years from now, the sum of their age will be 32. Find Yoshi's present age. 1 solutions Answer 272111 by mananth(12270)   on 2010-12-11 05:49:23 (Show Source): You can put this solution on YOUR website! sister = x years yoshi = x+12 .. after six years sister=x+6 Yoshi = x+12+6=x+18 .. x+18+x+6 = 32 2x+24=32 -24 -24 2x=32-24 2x=8 /2 x=4 sister's age Yoshi's age = 12+4 = 16 years ... m.ananth@hotmail.ca

Rate-of-work-word-problems/384360: together it takes john and carl 6hours and 25 minutes to sort recycyle material. Alone, John would require 6 more hours than carl. how long would it take carl to do the job alone? (x+6) John x carl 385 is 6 hours & 25 min converted to minutes 1/(x+6) + 1/x = 385 LCD is 385x(x+6) 385x +385x + 2310=385x^2+2310x 770x+2310=385x^2+2310x how do i foil or what next??? =385x^2-1540x-2310 1 solutions Answer 272105 by mananth(12270)   on 2010-12-11 03:55:47 (Show Source): You can put this solution on YOUR website! together it takes john and carl 6hours and 25 minutes to sort recycyle material. Alone, John would require 6 more hours than carl. how long would it take carl to do the job alone? ... (Please note either you do the working in minutes or hours. not both)I have converted 6 hours 25 minutes to hours 6 5/12= 77/12 carl x hours so he does 1/x of the job in 1 hour .. John = x+6 hours so he does 1/(x+6)of the job in 1 hour .. together they will do 1/x + 1/(x+6) job in 1 hour =x+6+x/(x(x+6)) =(2x+6)/(x^2+6x) of the job in 1 hour ... they will take (x^2+6x) /(2x+6) hours together to do the job cross multiply 12(x^2+6x)=77(2x+6) 12x^2+72x=154x+462 12x^2+72x-154x-462= 12x^2-82x-462=0 /2 6x^2-41x-231=0 solve for x using quadratic formula discriminant =7225 x1=10.50 hours Carl takes 10.50 hours to complete the job alone x2 will be negative so ignored. ... m.ananth@hotmail.ca

Age_Word_Problems/384375: how do you write john is 11 more than twice as old as bob the sum of their ages is 65. find the ages of each. as a equation 1 solutions Answer 272098 by mananth(12270)   on 2010-12-11 03:01:05 (Show Source): You can put this solution on YOUR website! Bob = x John = 2x+11 ... x+2x+11=65 3x+11=65 -11 -11 3x=54 /3 x=18 Bob's age John = 2x +11= 2*18+11=47 ... 47+18=65 ... m.ananth@hotmail.ca

Travel_Word_Problems/384264: the speed of a boat in still water is 16 km/h.The boat travels 43 km upstream and 45 km downstream in a total time of 20 hr.what is the speed of the stream? 1 solutions Answer 272097 by mananth(12270)   on 2010-12-11 02:54:57 (Show Source): You can put this solution on YOUR website! the speed of a boat in still water is 16 km/h.The boat travels 43 km upstream and 45 km downstream in a total time of 20 hr.what is the speed of the stream? ... speed of boat = 16km/h speed of current = x km/h .. upstream speed = 16-x downstream speed = 16+x .. d upstream = 43 km d downstream = 45 km .. 43/(16-x)+45/(16+x)= 20 ... LCD = (16+x)(16-x) 43(16+x)+45(16-x)/(16+x)(16-x)=20 688+43x+720-45x/16+x)(16-x)=20 1408-2x=20(256-x^2) 1408-2x=5120-20x^2 20x^2-2x=5120-1408 20x^2-2x=3712 20x^2-2x-3712=0 .. solve for roots x1 & x2 using quadratic equation discriminant =296964 x1= 13.7 km/h the speed of current. x2 will be negative so ignore. ... 13.7 km/h the speed of current. ... m.ananth@hotmail.ca

Linear_Equations_And_Systems_Word_Problems/384262: Good evening! I am trying to figure out a word problem, I hope you can help! An enclosed gas exerts a pressure P on the walls of its container. This pressure is directly proportional to the temperature of the gas. If the pressure is 2 pounds per square inch when the temperature is 280K, identify the appropriate direct variation equation. Thanks, Denise 1 solutions Answer 272096 by mananth(12270)   on 2010-12-11 02:30:56 (Show Source): You can put this solution on YOUR website! An enclosed gas exerts a pressure P on the walls of its container. This pressure is directly proportional to the temperature of the gas. If the pressure is 2 pounds per square inch when the temperature is 280K, identify the appropriate direct variation equation. .. pt .. p=kt where k is a constant p=2 K=280 2=k*280 k=1/140 ... p = t/140 ... m.ananth@hotmail.ca

Travel_Word_Problems/384363: don williams uses his small boat to go 3 miles up stream. against the current, the trip takes 3/5 hoours. with the current the trip takes 1/5 hours how fast is the boat on still water? what is the speed of the current? 1 solutions Answer 272095 by mananth(12270)   on 2010-12-11 02:25:17 (Show Source): You can put this solution on YOUR website! boat speed x mph current speed = y ... upstream speed = x-y downstream speed x+y .. distance = 3 miles .. t=d/r .. 3/(x-y)=3/5 cross multiply 3(x-y)15 /3 x-y =5.........................1 .. 3/(x+y)=1/5 x+y =15.........................2 .. add 1 & 2 2x=20 /2 x= 10. speed of boat in still water = 10 mph. speed of current = 5 mph m.ananth@hotmail.ca

Travel_Word_Problems/384366: don williams uses his small motorboat to go 3 miles up stream to his favorite fishing spot. against the current, the trip takes 3/5 hours. with the current the trip takes 1/5 hours. how fast is the boat on still water? what is the speed of the current? 1 solutions Answer 272094 by mananth(12270)   on 2010-12-11 02:23:57 (Show Source): You can put this solution on YOUR website! boat speed x mph current speed = y ... upstream speed = x-y downstream speed x+y .. distance = 3 miles .. t=d/r .. 3/(x-y)=3/5 cross multiply 3(x-y)15 /3 x-y =5.........................1 .. 3/(x+y)=1/5 x+y =15.........................2 .. add 1 & 2 2x=20 /2 x= 10. speed of boat in still water = 10 mph. m.ananth@hotmail.ca

real-numbers/384368: I solved this problem but can't figure out how to check it. Please help! 1/3x=3 5/6 1 solutions Answer 272093 by mananth(12270)   on 2010-12-11 02:19:43 (Show Source): You can put this solution on YOUR website! x= 23/2 .. 1/3 * 23/2 = 23/6 = 3 5/6

Linear-equations/384367: Find the missing coordinate of the solution points for the given equation. 2x-5y=-10 a. (6,?) b. (?,-3) 1 solutions Answer 272092 by mananth(12270)   on 2010-12-11 02:15:39 (Show Source): You can put this solution on YOUR website! 2x-5y=-10 a. (6,22/5) b. (-25/2,-3) ...

real-numbers/384369: I need to solve this problem and show a check on it. 24x + 5= 12x + 41 1 solutions Answer 272091 by mananth(12270)   on 2010-12-11 02:13:13 (Show Source): You can put this solution on YOUR website! 24x + 5= 12x + 41 -12x -12x 24x-12x+5=12x-12x+41 12x+5=41 -5 -5 12x+5-5 = 41-5 12x=36 /12 ... CHECK 24x + 5= 12x + 41 24*3 +5 = 12*3+41 72+5=36+41 77=77 cheers ... m.ananth@hotmail.ca

Travel_Word_Problems/384371: don williams uses his small boat to go 3 miles up stream. against the current the trip takes 3/5 hours. with the current the trip takes 1/5 hours. how fast is the boat on still water? what is the speed of the current? 1 solutions Answer 272090 by mananth(12270)   on 2010-12-11 02:09:27 (Show Source): You can put this solution on YOUR website! don williams uses his small boat to go 3 miles up stream. against the current the trip takes 3/5 hours. with the current the trip takes 1/5 hours. how fast is the boat on still water? what is the speed of the current? ... boat speed x mph current speed = y ... upstream speed = x-y downstream speed x+y .. distance = 3 miles .. t=d/r .. 3/(x-y)=3/5 cross multiply 3(x-y)15 /3 x-y =5.........................1 .. 3/(x+y)=1/5 x+y =15.........................2 .. add 1 & 2 2x=20 /2 x= 10. speed of boat in still water = 10 mph. m.ananth@hotmail.ca

Percentage-and-ratio-word-problems/384351: The perimeter of a rectangle is 56 cm. If the length were halved and the width doubled, the perimeter would be 58 cm. How long is the original rectangle? 1 solutions Answer 272082 by mananth(12270)   on 2010-12-10 23:49:46 (Show Source): You can put this solution on YOUR website! The perimeter of a rectangle is 56 cm. If the length were halved and the width doubled, the perimeter would be 58 cm. How long is the original rectangle? .. width = w length = L perimeter = 56 2(L+W)=56 /2 L+W = 28.....................1 .. new dimensions length = l/2 width = 2w Perimeter = 58 .. 2(L/2+2w)= 58 /2 L/2+2W= 29 multiply by 2 L+4W=58.....................2 multiply 1 by -1 .. -L-W=-28 .. add it to 2 -L+L-W+4W=-28+58 3W=30 /3 W= 10 cm .. L+W = 28 L= 18 cm .. ... m.ananth@hotmail.ca

Travel_Word_Problems/384357: Bert is 18 km away from Brenda. Both begin to walk toward each other at the same time. Bert walks 2 km per hour. They meet in 4 hours. How fast is Brenda walking? 1 solutions Answer 272081 by mananth(12270)   on 2010-12-10 23:39:08 (Show Source): You can put this solution on YOUR website! Bert is 18 km away from Brenda. Both begin to walk toward each other at the same time. Bert walks 2 km per hour. They meet in 4 hours. How fast is Brenda walking? ... distance = 18 km bert speed 2 km/h Brenda x km/h time they meet = 4 hours. .. they are walking towards each other So add up their speeds combined speed = x+2 km/h .. t=d/r t=18/(x+2)=4 multiply by (x+2) 18=4(x+2) 18=4x+8 -8 18-8 = 4x 10 = 4x /4 10/4=x x=2.5 km/h Brenda's speed .. m.ananth@hotmail.ca.

Travel_Word_Problems/384299: In the Canada, Medicine Hat and Cranbrook are 300 km apart. Sam rides his motorcycle 20 km per hr faster that Brian rides his motorcycle. Find Sam's average speed if he travels from Cranbrook to Medicine Hat in one and one quarter of an hour less time than Brian. 1 solutions Answer 272044 by mananth(12270)   on 2010-12-10 20:42:34 (Show Source): You can put this solution on YOUR website! In the Canada, Medicine Hat and Cranbrook are 300 km apart. Sam rides his motorcycle 20 km per hr faster that Brian rides his motorcycle. Find Sam's average speed if he travels from Cranbrook to Medicine Hat in one and one quarter of an hour less time than Brian. ... Brian's speed = x mph Brian's time = 300/x .. Sam's speed = x+20 sam's time = 300/(x+20) .. Time Brian - Time Sam = 1 1/4 = 5/4 .. 300/x -300/(x+20)= 5/4 .. LCD + x(x+20) ... .. cross multiply 5x(x+20)=4*6000 5x^2+100x=24,000 -24,000 -24,0000 5x^2+100x-24,000=0 /5 x^2+20x-4800=0 x^2+80x-60x-4800=0 x(x+80)-60(x+80)=0 (x+80)(x-60)=0 Brian's speed Sam's speed .... m.ananth@hotmail.ca

Systems-of-equations/384296: solve by the substitution method. 4x+8y=4 -6x+y=46 1 solutions Answer 272040 by mananth(12270)   on 2010-12-10 20:19:36 (Show Source): You can put this solution on YOUR website! 4x+8y=4,,,,,,,,,,,,,,,,1 ... -6x+y=46,,,,,,,,,,,,,,,2 y = 6x+46 .. substitute y in first equation 4x+8*(6x+46)=4 4x+48x+368=4 52x+368=4 -368 -368 52x=-364 /52 x=-7 .. plug value of x in 1 4*-7+8y=4 -28+8y=4 +28 +28 8y=32 /8 y =4 ... ... m.ananth@hotmail.ca

Quadratic_Equations/384282: A rectangle that the length is twice the with with an area of 50yd^2 1 solutions Answer 272039 by mananth(12270)   on 2010-12-10 20:11:02 (Show Source): You can put this solution on YOUR website! width = x length = 2x .. L*W=Area 2x*x=50 2x^2=50 /2 x^2=25 x= 5 yard the width .. length = 2x = 10 yard the length ... m.ananth@hotmail.ca

Numeric_Fractions/384291: 3 3/4 x 8/9 x 4 9/12 = ? 1 solutions Answer 272038 by mananth(12270)   on 2010-12-10 20:05:54 (Show Source): You can put this solution on YOUR website! 3 3/4 x 8/9 x 4 9/12 = ... ... ... ... ,, m.ananth@hotmail.ca

Travel_Word_Problems/384078: If a person travels 40 mph going to city A to B, and 60 mph returning from B to A, what is the average speed of the entire trip? Explain. I told my teacher that the average speed was 50 mph and got marked wrong. Where did I go wrong? 1 solutions Answer 271885 by mananth(12270)   on 2010-12-10 08:25:19 (Show Source): You can put this solution on YOUR website! lets be practical while going to B speed = 40 mph Assume it takes 1 hour so distance = 40 miles .. while returning the speed = 60 mph distance = 40 time= 40/60 = 2/3 hours .. Average speed for the trip = total distance / total time .. Total distance = 80 miles total time= 1+2/3 hours =1 2/3 =5/3 hours .. 80/(5/3) 80*3/5 =16*3 =48 mph is the average speed .. does your teacher approve of this logic .. m.ananth@hotmail.ca

test/384085: Interest Formulas If you invest $P, and you earn interest only on the amount you invested (the $P), then ________________ interest is earned. If you invest $P and you earn interest not only on the $P, but also on the interest gained, then ______________ interest is earned. Let P = principal, r = annual nominal interest rate (in decimal form), t = time of the investment (in years), A = amount in the account after t years. THEN… Simple interest: A = _________________________________________ Compound interest: A = _____________________________________ Ideally, what do you want to happen to the value of n in the compound interest formula if the formula represented the amount of money you have in the bank? 1 solutions Answer 271870 by mananth(12270)   on 2010-12-10 08:00:23 (Show Source): You can put this solution on YOUR website! Interest Formulas If you invest $P, and you earn interest only on the amount you invested (the $P), then _Simple interestis earned. If you invest $P and you earn interest not only on the $P, but also on the interest gained, then compound interest is earned. Let P = principal, r = annual nominal interest rate (in decimal form), t = time of the investment (in years), A = amount in the account after t years. THEN… Simple interest: A = p*r*t+p Compound interest: A = ____p(1+r/n)^nt____________________________________ Ideally, what do you want to happen to the value of n in the compound interest formula if the formula represented the amount of money you have in the bank? the more frequently you calculate the interest the more interest you earn