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# Recent problems solved by 'mananth'

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 real-numbers/548971: solve: -5-(2-5p)1 solutions Answer 357365 by mananth(12270)   on 2011-12-19 09:38:21 (Show Source): You can put this solution on YOUR website!-5-(2-5p) -5-2+5p -7p+5p
 Geometry_Word_Problems/548969: a picture frame measures 24cm by 15 cm.There is 220 cm squared of picture showing.The frame is of uniform thickness.Find the thickness.1 solutions Answer 357362 by mananth(12270)   on 2011-12-19 09:31:45 (Show Source): You can put this solution on YOUR website!Area of picture frame =24*15 = 360 m^2 let the uniform width be x on length & width on each side width of picture = 15-2x length of picture = 24-2x (15-2x)(24-2x)=220 360-30x-48x+4x^2=220 360-220-78x+4x^2=0 4x^2-78x+140=0 /2 2(2x^2-39x+70)=0 2(2x^2-35x-4x+70)=0 2(2x(x-17.5)-2(2x-35))=0 2((x-17.5)(x-2))=0 Neglect 17.5 since it is greater than width so width = 2feet m.ananth@hotmail.ca
 test/548966: That's a smart way of lonokig at the world.1 solutions Answer 357359 by mananth(12270)   on 2011-12-19 09:21:33 (Show Source): You can put this solution on YOUR website!yes
 test/548968: Sciencetific notation1 solutions Answer 357358 by mananth(12270)   on 2011-12-19 09:20:59 (Show Source): You can put this solution on YOUR website!scientific notation it is way of writing very large numbers example Light travels at 300000 meters /s that is written as 3*10^5 m/s Distance between earth & Moon assume 384000 km 3.84 * 10^5 km The decimal point is put after one digit m.ananth@hotmail.ca
 Travel_Word_Problems/548800: Miguel walks 4 miles in 75 minutes. His rate for the first part of his walk is shown in the table below. The table below shows Time: 30 min Rate: 3 1/2 mph1 solutions Answer 357355 by mananth(12270)   on 2011-12-19 09:13:56 (Show Source): You can put this solution on YOUR website!time = 1/2 hour rate = 3 1/2 = 7/2 mph d=r*t 1/2 * 7/2 is the distance in the first part =7/4 miles 4-7/4 is the balance walked in the second part 9/4 miles in the second half = 45 minutes = 3/4 rate = d/t rate = (9/4) / (3/4) =9/4 * 4/3 =3 mph in the second part
 Systems-of-equations/548967: what is the sum of (7x-8y+2z) and (2x-7y+5z)1 solutions Answer 357351 by mananth(12270)   on 2011-12-19 09:03:52 (Show Source): You can put this solution on YOUR website!(7x-8y+2z) and (2x-7y+5z) add like terms 9x-15y+7z
 real-numbers/548947: solve for u 1 solutions Answer 357347 by mananth(12270)   on 2011-12-19 08:49:29 (Show Source): You can put this solution on YOUR website!b=hnu, solve for u divide by hn b/hn=u
 Surface-area/548964: what is the surface area of a cylinder with height 9 cm and radius 1.11 solutions Answer 357344 by mananth(12270)   on 2011-12-19 08:48:08 (Show Source): You can put this solution on YOUR website!Surface area of cylinder = 2pir^2+2pirh r= radius=1.1 h=height =9 surface area =2*pi*(1.1)^2+2*pi*1.1*9 = 61.81 sq.cm m.ananth@hotmail.ca
 Graphs/548965: graph the equation y=-3x-21 solutions Answer 357342 by mananth(12270)   on 2011-12-19 08:42:55 (Show Source): You can put this solution on YOUR website!y= -3 x + -2 Assume values of x and plug in the equation to get values of y. Alos you can find the x & y intercepts and draw the graph Plot the points x 0 -2 -0.67 -1 y= -2 4 0 1 (x,y) ( 0 , -2 ),( -2 , 4
 Radicals/548960: simplify by rationalizing the denominator x/sqrtx-3 completely factorise the following 3x^2-3x-18 Simplify 2x-2/x^2-2x-8 / x^2-1/x^2+5x+41 solutions Answer 357340 by mananth(12270)   on 2011-12-19 08:36:29 (Show Source): You can put this solution on YOUR website! multiply by the conjugate completely factorise the following 3x^2-3x-18 Simplify / / * m.ananth@hotmail.ca
 Distributive-associative-commutative-properties/548912: 64b(2)-121 6x(7)-42(6)+12x(5) 6w/w(2)+w/w-4 First two factor and last one add and simplify 1 solutions Answer 357327 by mananth(12270)   on 2011-12-19 05:18:26 (Show Source): You can put this solution on YOUR website! ----- 6x(7)-42(6)+12x(5) ------------ 6w/w(2)+w/w-4 LCD = w(w-4) m.ananth@hotmail.ca
 Rectangles/548892: In order for a chemical reaction to remain stable, its Celsius temperature must be no more than 99.6ēC. Find the Fahrenheit temperatures at which the reaction will remain stable. (F = 9/5C + 32)1 solutions Answer 357326 by mananth(12270)   on 2011-12-19 05:07:16 (Show Source): You can put this solution on YOUR website!F= (9/5)c+32 deg F<=(9/5)*99.6+32 F<=211.28
 Travel_Word_Problems/548938: If Alec rode his bike from Atlanta, Georgia to New Orleans, Louisiana at 15 miles an hour the whole way there. How long did it take him to get to his destination?1 solutions Answer 357325 by mananth(12270)   on 2011-12-19 05:02:29 (Show Source): You can put this solution on YOUR website!distance =469 miles rate = 15 mph time = d/r 469/15 =31.26 hours
 percentage/548878: Katie paid 1.35 sales tax on a blouse that was marked 18.00. At the same rate, how much sales tax would she pay for a pair of 34.00 pair of pants?1 solutions Answer 357324 by mananth(12270)   on 2011-12-19 04:58:17 (Show Source): You can put this solution on YOUR website!on 18 she paid 1.35 rate of sales tax = (100/18) *1.35 =7.5% Pants \$34 Rate = 7.5% sales tax = (34/100) * 7.5 sales tax = \$2.55
 Polynomials-and-rational-expressions/548832: . Short Answer. Add the following polynomials: (-5x^2 + 5x  8) + (3x^3  8x^2 + 6)1 solutions Answer 357323 by mananth(12270)   on 2011-12-19 04:51:39 (Show Source): You can put this solution on YOUR website!(-5x^2 + 5x  8) + (3x^3  8x^2 + 6) add the like terms 3x^3-13x^2+5x-2
 Expressions-with-variables/548945: To buy both a new car and a new house, Tina sought two loans totalling \$191,610. The simple interest rate on the first loan was 6.3%, while the simple interest rate on the second loan was 8.8%. At the end of the first year, Tina paid a combined interest payment of \$16,681.66. What were the amounts of the two loans? How do I set up and answer 1 solutions Answer 357321 by mananth(12270)   on 2011-12-19 04:48:22 (Show Source): You can put this solution on YOUR website!Fund A 6.30% per annum ---x Fund B 8.80% per annum ---y x+y=191610 ------------------------1 6.30%x+ 8.80%y= =\$16,681.66 Multiply by100 6.3x+8.8y=\$1,668,166.00 --------2 Multiply (1) by -6.3 we get -6.3x-6.3y=-1207143.00 Add this to (2) 0x+2.5y=\$461,023.00 divide by2.5 y = \$184,409.20 investment at 8.80% Balance \$7,200.80 investment at 6.30% CHECK \$7,200.80 --------- 6.30% ------- \$453.65 \$184,409.20 ------- 8.80% ------- \$16,228.01 Total -------------- \$16,681.66 m.ananth@hotmail.ca
 Expressions-with-variables/548944: 5x -9y =7 7y  3x = -5 solve by substitution 1 solutions Answer 357320 by mananth(12270)   on 2011-12-19 04:38:19 (Show Source): You can put this solution on YOUR website!5x-9y=7 .............1 7y=-5+3x ---------2 /7= y=-0.71+0.43x Substitute y in (1) 5x-9(-0.71+0.43 x)=7 5x+6.43-3.86x= 7 5x-3.86 x=7-6.43 1.14x=0.57 /1.14 x=0.5 Plug the value of x in (1) 5x-9y= 7 5*0.5-9y=7 2.5-9y= 7 -9y=4.5 / -9 y= -0.5 m.ananth@hotmail.ca
 Expressions-with-variables/548946: A dehydrated patient needs a 6.8% saline IV. Unfortunately, the hospital only has bags of 2% and 8% saline solutions. How many liters of each of these solutions should be mixed together to yield 2 liters of the desired concentration?1 solutions Answer 357319 by mananth(12270)   on 2011-12-19 04:31:53 (Show Source): You can put this solution on YOUR website!percent ---------------- quantity Saline I 2 ----------------x L Saline II 8 ------ 2-x L Mixture 6.80% ---------------- 2 2x+8(2-x)=6.8*2 2x+16-8x=13.6 2x-8x= 13.6-16 -6x=-2.4 / -6 x=0.4 L 2.00% Saline I 1.6 L 8.00% Saline II m.ananth@hotmail.ca
 test/548853: 8/x=61 solutions Answer 357317 by mananth(12270)   on 2011-12-19 03:36:03 (Show Source): You can put this solution on YOUR website! multiply by x 8=6x /6 simplify
 Travel_Word_Problems/548855: Two cars left at an intersection at the same time, one heading north and the other heading west. Later they were exactly 95 miles apart. The car heading west had gone 38 miles less than twice as far as the car headed north. How far has each car traveleld?1 solutions Answer 357316 by mananth(12270)   on 2011-12-19 03:33:12 (Show Source): You can put this solution on YOUR website!This is a problem where pythagoras theorem has to be applied at any given time the cars are travelling at right angles to each other north bound has traveled x miles west bound car traveled 2x-38miles leg1^2+leg2^2=hypotenuse ^2 x^2+(2x-38)^2=95^2 x^2+4x^2-152x+1444=9025 5x^2-152x-7581=0 Find the roots of the equation by quadratic formula a= 5 , b= -152 , c= -7581 b^2-4ac= 23104 + 151620 b^2-4ac= 174724 x1=( 152 + 418 )/ 10 x1= 57.00 x2=( 152 -418 ) / 10 x2= -26.60 Ignore negative value 57 miles north bound car west bound car = 2*57-38=76 miles m.ananth@hotmail.ca
 Numbers_Word_Problems/548850: twice one number is 28 more than a second number. when 23 is added to the second number the result is 12 less than three times the first number, what are the numbers?1 solutions Answer 357315 by mananth(12270)   on 2011-12-19 03:17:48 (Show Source): You can put this solution on YOUR website!one number =x other number =y 2x=y+28 y+23=3x-12 2x=y+28 2x-y=28................(1) y+23=3x-12 y-3x=-35................(2) 2 x -1 y = 28 .............1 -3 x + 1 y = -35 .............2 Eliminate y multiply (1)by 1 Multiply (2) by 1 2 x -1 y = 28 -3 x + 1 y = -35 Add the two equations -1 x = -7.00 / -1 x = 7 plug value of x in (1) 2 x + -1 y = 28 14 + -1 y = 28 -1 y = 28 -14 -1 y = 14 y = -14 7 & 14 are the numbers
 Mixture_Word_Problems/548825: C and Y candy company mixes candy that costs \$6.00 per kg with candy that costs \$4.50 per kg. How many kilograms of each are needed to make ao 3kg box that costs \$15.00?1 solutions Answer 357313 by mananth(12270)   on 2011-12-19 03:11:23 (Show Source): You can put this solution on YOUR website!\$ 6 Candy x kgs \$4.5 candy y kgs x+y=3....................(1) 6x+4.5y=15................(2) multiply (1) by -6 -6x-6y=-18 add to (2) -1.5y=-3 /-1.5 y=2 x=1 \$ 6 Candy 1 kg \$4.5 candy 2 kgs
 Polynomials-and-rational-expressions/548877: Multiply x  2 by -5x2  3x  4 1 solutions Answer 357312 by mananth(12270)   on 2011-12-19 03:02:13 (Show Source): You can put this solution on YOUR website!(x  2)(-5x2  3x  4) Add like terms
 Graphs/548903: Snookers Lumber can convert logs into either lumber or plywood. In a given day, the mill turns out twice as many units of playwood as lumber. It makes a profit of \$25 on a unit of lumber and \$50 on a unit of plywood. How many of each unit must be produced and sold in order to make a profit of \$13000? Snooker Lumber must produce and sell Units of lumber and Units of plywood to make a profit of \$13000.1 solutions Answer 357311 by mananth(12270)   on 2011-12-19 02:57:37 (Show Source): You can put this solution on YOUR website!lumber l units plywood p units p=2l 25l+50p=13000 but p=2l 25l + 50*2l=13000 125l=13000 /125 l=13000/125 Lumber units 104 plywood units 104 *2=208 units
 Money_Word_Problems/548908: Marcy puts \$500.00 in a bank account. Each year the account earns 5% simple interest. How much interest will be earned in five years?1 solutions Answer 357310 by mananth(12270)   on 2011-12-19 02:53:05 (Show Source): You can put this solution on YOUR website!i= p*r*t p=\$500 r=5%=0.05 t=5 i= i=500*0.05*5 \$125
 Exponents-negative-and-fractional/548918: Hello i am trying to somplify the following problem: (n to the 3rdpower(m to the 3rd power n to the negative 5th power p to the second) negative4th power)to the 4th power. thank you1 solutions Answer 357309 by mananth(12270)   on 2011-12-19 02:50:28 (Show Source): You can put this solution on YOUR website!(n to the 3rdpower(m to the 3rd power n to the negative 5th power p to the second) negative4th power)to the 4th power. It is difficult to understand.
 Travel_Word_Problems/548933: Two steamers leave a port on a river at the same time, each is traveling 22 mph. HOw long will it take for them to be 110 mi apart 1 solutions Answer 357308 by mananth(12270)   on 2011-12-19 02:45:11 (Show Source): You can put this solution on YOUR website!they are travelling away from each other so add up their speeds 72+72=144 mph d=110 miles t=d/r t=110/144=0.76 hours 0.76*60 =45.8 minutes
 Rectangles/548940: the length of a rectangle is 3 feet less than five times its width, if the perimeter is 90 feet, find the dimensions (lenth and Width). What is the area of the rectangle?1 solutions Answer 357307 by mananth(12270)   on 2011-12-19 02:42:09 (Show Source): You can put this solution on YOUR website!width =w length = 5w-3 Perimeter = 2(L+W) 2(w+5w-3)=90 2(6w-3)=90 /2 6w-3=45 6w=48 /6 w=8 width = 8 feet length = 5*8-3=37 feet Area = L*w Area = 8*37=296 sq.ft
 percentage/548941: 472 books is 130% of what number of books?1 solutions Answer 357306 by mananth(12270)   on 2011-12-19 02:38:06 (Show Source): You can put this solution on YOUR website!130% let number of books be x 1.3x=472 /1.3 x=472/1.3 363 books
 Travel_Word_Problems/548934: Please help me with this problem. "While training for a biathlon race, Kevin covered a total distance fo 9km by swimming for 45 minutes and running for 20 minutes. The next day he swam for 30 minutes and ran for 40 minutes. Find his rates (in km/h) for swimming and running (assume these rate are contant). Thanks!1 solutions Answer 357302 by mananth(12270)   on 2011-12-19 01:35:02 (Show Source): You can put this solution on YOUR website!swimming rate = s running rate =r d=r*t convert minutes to hours First day (3/4)s+(1/3)r = 9 LCD = 12 multiply equation by 12 9s+4r=108...............(1) Day II (1/2)s+(2/3)r= 9 LCD = 6 multiply equation by 6 3s+4r=54....................(2) 9 s + 4 r = 108 .............1 3 s + 4 r = 54 .............2 Eliminate r multiply (1)by -1 Multiply (2) by 1 -9 s -4 r = -108 3 s + 4 r = 54 Add the two equations -6 s = -54.00 / -6 s = 9 plug value of s in (1) 9 s + 4 r = 108 81 + 4 r = 108 4 r = 108 -81 4 r = 27 r = 6 3/ 4 swimming rate 9 km/h running rate 6 3/4 km/h m.ananth@hotmail.ca
 test/548936: Walter is a waiter at the Towne Diner. He earns a daily wage of \$50, plus tips that are equal to 15% of the total cost of the dinners he serves. What was the total cost of the dinneres he served if he earned \$170 on Tuesday?1 solutions Answer 357300 by mananth(12270)   on 2011-12-19 01:23:59 (Show Source): You can put this solution on YOUR website!D(w) = 50 + 0.15 x where x is the cost of dinner he serves he earned \$170 170=50+0.15x 170-50 = 0.15x 120=0.15x 120/0.15=x 800=x \$800 dinner was served by the waiter. m.ananth@hotmail.ca