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Linear-systems/521970: the length of a rectangle is 7 meters less than twice he width. If the perimeter is 40 meters, find the dimensions of the rectangle. 1 solutions Answer 346634 by mananth(12270)   on 2011-10-26 21:43:59 (Show Source): You can put this solution on YOUR website! Perimeter = 40 feet Length 1 ( 2 x -7 ) Width = x ft Perimeter =2(L+W) Perimeter = 2(((2x-7)+x) Perimeter = 2((2x-7 +x) Perimeter =4x-14+2x 40 =6x-14 40 -=6x 40+14=6 x 54=6x x=9 ft Width Length =11ft

Rectangles/521910: the area of a rectangle is 44 square meters. if the length is one meter less than three times the width, what are the dimensions pf the rectangle? What is the algebraic equation 1 solutions Answer 346632 by mananth(12270)   on 2011-10-26 21:39:34 (Show Source): You can put this solution on YOUR website! Area = 44 sq.ft Width = x ft Length = (3x-1 ) Area = x*1(3x-1) 44 =3x^2-x 3x^2-x -44 = 0 3x^2-12x+11x-44=0 3x(x-4)+11(x-4)=0 (x-4)(x+11)=0 x= 4 which is positive width = 4 ft Length = 3x-1=> 11 ft m.ananth@hotmail.ca

Geometry_Word_Problems/521944: a rectangle plot of ground has an area of 600 square yards. the langth of the plot is 5 yard shorter than three times the width x. 5.Write a quadratic equation in standord for that represents the area os the plot. 6.The Length Is ________ yards and the width is_______ yards. 1 solutions Answer 346628 by mananth(12270)   on 2011-10-26 21:26:37 (Show Source): You can put this solution on YOUR website! Area = L*W Area = 660 sq. ft Area = 600 sq. yd Width = x yd Length =(3x-5 ) Area =x *(3x-5 ) 600 =3x^2-5x 3x^2-5x -600=0 Find the roots of the equation by quadratic formula a= 3 ,b= -5 ,c= -600 b^2-4ac= 25 + 7200 b^2-4ac= 7225 x1=( 5 + 85 )/ 6 x1= 15 x2=( 5 -85 ) / 6 x2= -13.33 Ignore negative value width = 15 yd length = 40 yd check Area = 15*40 = 600

Numbers_Word_Problems/521927: nine more than five times a number is that number increased by 33? whats the equation? 1 solutions Answer 346625 by mananth(12270)   on 2011-10-26 21:18:56 (Show Source): You can put this solution on YOUR website! 5x+9 = x+33

Linear-equations/521928: write an equation of the line containing the given point and prarallel to the given line express ur answer in the form y=mx+b (6,9) x+5y=8 1 solutions Answer 346624 by mananth(12270)   on 2011-10-26 21:16:54 (Show Source): You can put this solution on YOUR website! 1 x + 5 y = 8 Find the slope of this line make y the subject 5 y = -1 x + 8 Divide by 5 y = -0.2 x + 1.6 Compare this equation with y=mx+b slope m = -0.2 - 1/5 The slope of a line parallel to the above line will be the same The slope of the required line will be -0.2 m= -0.2 ,point ( 6 , 9 ) Find b by plugging the values of m & the point in y=mx+b 9 = -1.20 + b b= 10.2 =>51/5 m= -0.2=> - 1/5 Plug value of the slope and b in y = mx +b The required equation isy = -0.2 x + 10.2 (y = - 1/ 5 x + 51/ 5) m.ananth@hotmail.ca

Linear-equations/521930: write an equation for the line passing through the point (4,5) and perpendicular to the line passing through the points (-1,3) and (2,9) 1 solutions Answer 346623 by mananth(12270)   on 2011-10-26 21:13:57 (Show Source): You can put this solution on YOUR website! x1 y1 x2 y2 -1 3 2 9 slope m = (y2-y1)/(x2-x1) ( 9 - 3 )/( 2 - -1 ) ( 6 / 3 ) m= 2 The slope of a line perpendicular to the above line will be the negative reciprocal m1*m2=-1 The slope of the required line will be - 1/2 m= - 1/2 ,point ( 4 , 5 ) Find b by plugging the values of m & the point in y=mx+b 5 = -2.00 + b b= 7 m= - 1/2 The required equation is y=- 1/ 2x+7 m.ananth@hotmail.ca

Triangles/521926: my homework question is about triangles, and finding the degree of each angle, ive done them all but am confused about the ones like these, please help me figure out how to evaluate them. it says: m<1(angle 1)= x+30; m<2= x-22; m<3= 2x-7; find x, and the measure of each angle. 1 solutions Answer 346622 by mananth(12270)   on 2011-10-26 21:09:18 (Show Source): You can put this solution on YOUR website! sum of all angles of triangle = 180 deg x+30+ x-22+ 2x-7=180 4x+1=180 4x=179 x=44.75 m1= 74.75 m2=22.75 m3=82.50 Total = 180

Miscellaneous_Word_Problems/521862: Tickets to the county fair for four adults and five children cost $33. An adults ticket costs $1.50 more than a childs ticket. Find the cost of an adults ticket and write an equation. 1 solutions Answer 346619 by mananth(12270)   on 2011-10-26 21:00:09 (Show Source): You can put this solution on YOUR website! child ticket $x Adult (x+1.50) 5x+4(x+1.50)=33 5x+4x+6=33 9x=33-6 9x=27 /9 x=3 child ticket Adult ticket = (3+1.50)= $4.50

Square-cubic-other-roots/521870: What is the square root of 192 equivalent to the third power? 1 solutions Answer 346616 by mananth(12270)   on 2011-10-26 20:37:52 (Show Source): You can put this solution on YOUR website!

Polynomials-and-rational-expressions/521412: -5t^2+5t+360 1 solutions Answer 346474 by mananth(12270)   on 2011-10-26 06:23:22 (Show Source): You can put this solution on YOUR website! -5t^2+5t+360 -5(t^2-t-72) =5((t-9)(t+8)) if this = 0 then t=9 or-8

Linear-equations/521411: Write a line in Slope-intercept form that is parallel to 5y-60+8x and contains (-6,-10) 1 solutions Answer 346473 by mananth(12270)   on 2011-10-26 06:19:56 (Show Source): You can put this solution on YOUR website! 5y-60+8x what is the equation is it 5y-60+8x=0 is it 5y-60=8x OR is it 5y=60+8x

Linear-equations/521353: through 3,4 m=-7/9 1 solutions Answer 346472 by mananth(12270)   on 2011-10-26 06:15:31 (Show Source): You can put this solution on YOUR website! m= - 7/ 9 Plug value of the slope and point ( 3 , 4 ) in Y = m x + b 4.00 = -7/3 + b b= 4 - -7/3 b= 19/ 3 So the equation will be Y = - 7/9 x + 19/3 m.ananth@hotmail.ca

Miscellaneous_Word_Problems/521377: 7. A ball dropped from a certain height rises after bouncing to 25 % of its original height. After bouncing if the ball rises to 6 ft. What is the height from which it was dropped? 1 solutions Answer 346471 by mananth(12270)   on 2011-10-26 06:11:28 (Show Source): You can put this solution on YOUR website! let the ball drop from x ft it will rebounce 25% =0.25x 0.25x=6 x=6/0.25 x=24 ft

Trigonometry-basics/521388: The radius of the magnetic disk in a 3.5-inch diskette is 1.68 in. Find the linear speed of a point on the circumference of the disk if it is rotating at a speed of 387 rev/min. Answer in units of in/sec 1 solutions Answer 346469 by mananth(12270)   on 2011-10-26 06:08:36 (Show Source): You can put this solution on YOUR website! radius = 1.68 inches 1 revolution = 1circumference 2*3.14*1.68 =10.55 inch 387 rev /minute 387*10.55= 4083 inch/minute

Percentage-and-ratio-word-problems/521404: A company abought 1,000 shares at Rs. 56.27 per share and sold them after 1 year at Rs. 65.25 with a 1.2% commission rate of buying and selling the stock. what is its return on investment? 1 solutions Answer 346468 by mananth(12270)   on 2011-10-26 05:44:07 (Show Source): You can put this solution on YOUR website! 1,000 shares at Rs. 56.27 commission = 0.012*56.27*1000 =675.24 Total cost =56.27*1000=56270 =56270+675.24 => 56945.24 SELLING Rs. 65.25 with a 1.2% commission rate commission 65.25*0.012*1000=783 sale 65.25*1000=65250 65250-783=64467 Profit 64457-56945.24=7511.76 profit/cost *100 = yield%

Travel_Word_Problems/521407: A train travels 250 km at the speed of 60 km/hr and arrives ten minutes late later than schedule. At what speed (in km/hr) should it travel to arrive exactly on time ? 1 solutions Answer 346466 by mananth(12270)   on 2011-10-26 05:30:41 (Show Source): You can put this solution on YOUR website! let the original speed be x t=d/r time taken - scheduled time = 1/4 hour (250/60)-(250/x)=1/4 LCD = 60 x 250x-250*60=60x/4 multiply by 4 1000x-1000*60=60x 960x=60000 /960 x= 62.5 km/h

Linear_Equations_And_Systems_Word_Problems/521370: A rectangular swiming pool is three times as long as it is wide and is surrounded by a deck 2.5m wide. Find the dimentions of the pool if the area of the deck the deck is 265msquared. 1 solutions Answer 346465 by mananth(12270)   on 2011-10-26 05:25:20 (Show Source): You can put this solution on YOUR website! width= x Length = 3 x deck width = 2.5 Area of pool = x*( 3 x) Area of deck= 265 width including deck= x + 5 length including deck= ( 3 x +5 ) Total area = ( x + 5 )*( 3 x + 5 ) ( x + 5 )*( 3 x + 0 5 )- x*( 3 x+ ) 3 X^2 + 5 x+ 15 x + 25 - 3 X^2 + 20 x + 25 = 265 20 x = 240 / 20 x= 12 Meters width of pool 36 Meters length of pool CHECK 17 * 41 = 697 M^2 12 * 36 = 432 M^2 --------------265 M^2 Area of Deck m.ananth@hotmail.ca

Linear-equations/521398: x^(3/2) =27 1 solutions Answer 346464 by mananth(12270)   on 2011-10-26 04:32:44 (Show Source): You can put this solution on YOUR website! take the square on both sides x^3=27^2 x= 27*27 x=9

Polynomials-and-rational-expressions/521401: 3√x -5 =3 1 solutions Answer 346463 by mananth(12270)   on 2011-10-26 04:30:10 (Show Source): You can put this solution on YOUR website! take the square on both sides x=64/9

Travel_Word_Problems/521399: If a car travels at 150km in 1.5 hours what is the average speed? 1 solutions Answer 346462 by mananth(12270)   on 2011-10-26 04:28:03 (Show Source): You can put this solution on YOUR website! d=150 km t=3/2 hours r=d/t r=150/(3/2) r=150*2/3 r=100 km/h

Polynomials-and-rational-expressions/521373: what is the factor of binomial 9x^4-81y^2 1 solutions Answer 346461 by mananth(12270)   on 2011-10-26 04:26:39 (Show Source): You can put this solution on YOUR website! 9x^4-81y^2 (3x^2)^2-(9y)^2 (3x^2+9y)(3x^2-9y) 3*3(x^2+3y)(x^2-3y)

Linear-equations/521381: Find equation of the line which is perpendicular to the line Y=5x+9 and has y-intercept = 6. 1 solutions Answer 346460 by mananth(12270)   on 2011-10-26 04:22:09 (Show Source): You can put this solution on YOUR website! 1 y = 5 x + 9 Divide by 1 y = 5 x + 9 Compare this equation with y=mx+b slope m = 5.00 The slope of a line perpendicular to the above line will be the negative reciprocal -0.2 m1*m2=-1 The slope of the required line will be - 1/5 m= - 1/5 ,point ( 0 , 6 ) Find b by plugging the values of m & the point in y=mx+b 6 = 0.00 + b b= 6 m= - 1/5 The required equation is y = - 1/ 5 x + 6 m.ananth@hotmail.ca

Travel_Word_Problems/521393: How far would a car going at 65km/h travel in 6 hours ? 1 solutions Answer 346459 by mananth(12270)   on 2011-10-26 04:17:49 (Show Source): You can put this solution on YOUR website! d=rt r=65 km/h t=6 d= 65*6 d=390 km

Equations/521397: How wide a border of uniform width should be added to a rectangle that is 8 inches by 12 inches in order to double the area? 1 solutions Answer 346458 by mananth(12270)   on 2011-10-26 04:13:28 (Show Source): You can put this solution on YOUR website! let x be the width Area = L*W Area = 1288=96 double area = 192 (8+2x)(12+2x)= 192 8(12+2x)+2x(12+2x)=192 96+40x+4x^2=192 4x^2+40x-96=0 /4 x^2+10x-24=0 x^2+12x-2x-24=0 x(x+12)-2(x+12)=0 (x+12)(x-2)=0 x the width = 2 inches m.ananth@hotmail.ca

Linear-equations/521364: 3y=-4x+12 wats the slope and the y intrecpt 1 solutions Answer 346444 by mananth(12270)   on 2011-10-26 00:19:23 (Show Source): You can put this solution on YOUR website! 3y=-4x+12 /3 y=(-4/3)x+4 compare with y= mx+b m=(-4/3) y intercept =4

Radicals/521331: Simplify 1 solutions Answer 346443 by mananth(12270)   on 2011-10-26 00:17:48 (Show Source): You can put this solution on YOUR website! =

Linear-equations/521342: Write an equation of the line contaning the given point and perpendicular to the givin line (3,-6); 4x+9y=7 1 solutions Answer 346441 by mananth(12270)   on 2011-10-26 00:05:37 (Show Source): You can put this solution on YOUR website! 4 x + 9 y = 7 Find the slope of this line 9 y = -4 x + 7 Divide by 9 y = 0 x + 0.78 Compare this equation with y=mx+b slope m = -0.44 The slope of a line perpendicular to the above line will be the negative reciprocal 2.25 m1*m2=-1 The slope of the required line will be 2.25 m= 2 1/4 ,point ( 3 , -6 ) Find b by plugging the values of m & the point in y=mx+b -6 = 6.75 + b b= -12.75 m= 9/4 The required equation isy = 9/ 4 x-51/ 4 m.ananth@hotmail.ca

Radicals/521355: Find the distance between the given pair of points. Give an exact answer and, if appropriate, an approximation to three decimal places. (­‐9,­‐15) and (­‐11,­‐8) 1 solutions Answer 346440 by mananth(12270)   on 2011-10-26 00:00:01 (Show Source): You can put this solution on YOUR website! Distance between two points x1 y1 x2 y2 d= -9 -15 -11 -8 d= d= d= d= 7.280 m.ananth@hotmail.ca

Radicals/521345: Find the distance between the given pair of points. Give an exact answer and, if appropriate, an approximation to three decimal places. (­‐9,­‐15) and (­‐11,­‐8) 1 solutions Answer 346439 by mananth(12270)   on 2011-10-25 23:59:04 (Show Source): You can put this solution on YOUR website! Distance between two points x1 y1 x2 y2 d= -9 -15 -11 -8 d= d= d= d= 7.280 m.ananth@hotmail.ca

Exponents/521352: Okay so please help. I've asked one question before so this would be my second. I only need the two so please do help. I don't even need the answer, just how to solve it. Thnx Write an expression for five times a number that is used as a factor three times. 1 solutions Answer 346437 by mananth(12270)   on 2011-10-25 23:54:27 (Show Source): You can put this solution on YOUR website! (5x)(5x)(5x) =125x^3

Complex_Numbers/521317: I need to factor (3/(5-11i)) But I can not figure it out 1 solutions Answer 346425 by mananth(12270)   on 2011-10-25 22:58:09 (Show Source): You can put this solution on YOUR website! multiply by the conjugate 0.0102739726 -0.226027397i