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 Linear-systems/742346: An airplane flying against the wind went 1500 miles in 5 hours and returned with the wind in 3 hours.Assume the wind rate didnt change,find the rate of the airplane and the wind.1 solutions Answer 452422 by mananth(12270)   on 2013-04-26 23:14:18 (Show Source): You can put this solution on YOUR website!Plane speed =x mph wind speed =y mph against wind 5 hours with wind 3 hours Distance against 1500 miles distance with 1500 miles t=d/r against wind - 1500 / ( x - y )= 5 5 ( x - y ) = 1500 5 x - 5 y = 1500 ....................1 1500 / ( x + y )= 3 3 ( x + y ) = 1500 3 x + 3 y = 1500 ...............2 Multiply (1) by 1 Multiply (2) by 1 we get 5 x + -5 y = 1500 3 x + 3 y = 1500 8 x = 3000 / 8 x = 375.00 mph plug value of x in (1) y 5 x -5 y = 1500 1875 -5 -1875 = 1500 -5 y = 1500 -5 y = -375 mph y = 75.00 Plane speed 375.00 mph wind speed 75.00 mph m.ananth@hotmail.ca
 Surface-area/742348: in the figure a and b are identical squares overlapping each other.the length of each side of the shaded region is half of the length oof square a.what is the area of the unshaded part1 solutions Answer 452421 by mananth(12270)   on 2013-04-26 23:02:29 (Show Source): You can put this solution on YOUR website!we cant imagine the problem
 Linear-systems/742350: For an event if you purchased 8 adult tickets and 6 children tickets for your party at a cost of 132 dollars.A friend purchased 10 adult tickets and 4 children tickets for 144 dollars.Find the price of the adult ticket and the price of the children ticket.1 solutions Answer 452420 by mananth(12270)   on 2013-04-26 23:00:40 (Show Source): You can put this solution on YOUR website!x= cost of adult ticket y= cost of child ticket 8.00 x + 6.00 y = 132.00 .............1 Total value 10.00 x + 4.00 y = 144.00 .............2 Eliminate y multiply (1)by -4.00 Multiply (2) by 6.00 -32.00 x -24.00 y = -528.00 60.00 x + 24.00 y = 864.00 Add the two equations 28.00 x = 336.00 / 28.00 x = 12.00 plug value of x in (1) 8.00 x + 6.00 y = 132.00 96.00 + 6.00 y = 132.00 6.00 y = 132.00 -96.00 6.00 y = 36.00 y = 6.00 x= 12 cost of adult ticket \$ y= 6 cost of child ticket \$ m.ananth@hotmail.ca
 Quadratic_Equations/742339: Solve the equation by completing the square. 4x square minus 17x plus 24=01 solutions Answer 452419 by mananth(12270)   on 2013-04-26 22:28:34 (Show Source): You can put this solution on YOUR website! /4 third term = (1/2middle term) ^2 /2=>(17/8)^2/2=>289/64 x= (17/4)+/- sqrt(-95)/8 x= (17/4)+95i/8, (17/4)-95i/8 you may simplify if required
 Quadratic_Equations/742318: writing quadratic equations having the given solutions: 6i, -6i1 solutions Answer 452411 by mananth(12270)   on 2013-04-26 20:40:02 (Show Source): You can put this solution on YOUR website!(x-6i)(x+6i)=0 x^2+6i*x-6i*x-36i^2=0 x^2-36i^2=0 x^2+36=0
 Numbers_Word_Problems/742320: There are three consecutive integers. If the square of the last plus the product of the other two is 137, find the sum of the integers. If the numbers were three rational number, how would this affect the result?1 solutions Answer 452409 by mananth(12270)   on 2013-04-26 20:31:38 (Show Source): You can put this solution on YOUR website!let the integers be (a-1),a, a+1 a(a-1)+(a+1)^2=137 a^2-a+a^2+2a+1=137 2a^2+a-136=0 2a^2+17a-16a-136=0 2a(a+8.5)-16(a+8.5)=0 (2a-16)(a+8.5)=0 2a=16 a=8 7,8,9 24 is the sum OR a=-8.5 not an integer so ignore
 logarithm/742185: Solve and check a) log(x+2)+log(x-1)=1 b) log(3x+2)+log(x-1) = 2 c) 2log(x-1) = 2+log 100 Can you please help me out? thanks so much in advance:) Can you show the work too because I will understand better thankyou:)1 solutions Answer 452301 by mananth(12270)   on 2013-04-26 11:16:37 (Show Source): You can put this solution on YOUR website!log(x+2)+log(x-1)=1 log((x+2)(x-1))=1 (x+2)(x-1)=10^1 x^2+x-2=10 x^2+x-12=0 (x+4)(x-3)=0 x=3 ignore negative b) log(3x+2)+log(x-1) = 2 c) 2log(x-1) = 2+log 100
 test/742161: Area of a rectangle is 2x^2-5x-18 andthe length is 2x-9 what is the width?1 solutions Answer 452300 by mananth(12270)   on 2013-04-26 11:10:18 (Show Source): You can put this solution on YOUR website!2x^2-5x-18 2x^2-9x+4x-18 x(2x-9)+2(2x-9) (2x-9)(x+2) width = x+2)
 Trigonometry-basics/742179: I DONT UNDERSTAND! HELP! I need help simplifying a trigonometric expression: Please explain and show the steps to get the answer. Thank you.1 solutions Answer 452298 by mananth(12270)   on 2013-04-26 11:03:37 (Show Source):
 Exponential-and-logarithmic-functions/742149: 1/2log(x+2)=2 solve for x1 solutions Answer 452281 by mananth(12270)   on 2013-04-26 08:33:59 (Show Source): You can put this solution on YOUR website!1/2log(x+2)=2 solve for x / 1/2 log(x+2)=4 (x+2)=10^4 x+2=10000 x=9998
 Rational-functions/742105: The speed of a boat in still water is 8 km/h. It travels 60 km upstream and 60 km downstream in a total time of 16 hours. What is the speed of the stream?1 solutions Answer 452280 by mananth(12270)   on 2013-04-26 08:31:19 (Show Source): You can put this solution on YOUR website!speed of stream =x speed of boat in still water =8 time down stream = 60/(8+x) time down stream = 60/(8-x) time up + time down = 16 hours Multiply equation by (8-x)(8+x) x^2=4 x= +/- 2 ignore negative x=2
 Radicals/742094: 1 solutions Answer 452268 by mananth(12270)   on 2013-04-26 05:00:32 (Show Source): You can put this solution on YOUR website! square both sides square both sides /4 9x=80
 Polynomials-and-rational-expressions/742048: What is the answer to "Divide n squared plus n minus 6 over n plus 4, divided by n squared plus 7n plus 12 over n minus 2". Thank you so much1 solutions Answer 452258 by mananth(12270)   on 2013-04-25 23:05:35 (Show Source): You can put this solution on YOUR website!"Divide n squared plus n minus 6 over n plus 4, divided by n squared plus 7n plus 12 over n minus 2". Thank you so much /
 Graphs/742035: what is the equation of the line that has a slope of 5 and passes through the point (-2,6)1 solutions Answer 452251 by mananth(12270)   on 2013-04-25 22:02:58 (Show Source): You can put this solution on YOUR website!m=5 , (x1,y1)=(-2,6) general equation y-y1=m(x-x1) y-6=5(x+2) y-6=5x+10 y=5x+16
 Equations/742010: If (a+b)^2 + (b+c)^2 + (c+d)^2 = 4(ab+bc+cd), prove a=b=c=d1 solutions Answer 452250 by mananth(12270)   on 2013-04-25 22:00:30 (Show Source): You can put this solution on YOUR website! so (a-b)^2=0 a-b=0 a=b similarly b=c c=d a=b=c=d
 Expressions-with-variables/742022: Solve 5x+4y=12 and 3x+4y=4 by substitution? enter your answer as (_,_) please? I already did this much solved the first expression and ended up with: y= 1-3x but now I'm stuck! please help me! 1 solutions Answer 452248 by mananth(12270)   on 2013-04-25 21:48:35 (Show Source): You can put this solution on YOUR website!5x+4y=12 3x+4y=4 4y=4-3x substitute 4y in first equation 5x+4-3x=12 2x=8 x=4 so y=-2 (4,-2)
 Finance/742026: your summer job pays \$8 per hour. you get \$12 per hour for overtime(anything over 40 hours per week). How many hours must you work in one week to earn \$404?1 solutions Answer 452247 by mananth(12270)   on 2013-04-25 21:44:23 (Show Source): You can put this solution on YOUR website!no of extra hours be x earning from extra hours = 12x 40 hours /week 8*40 = 320 /week normal wages + overtime wages = 404 404=320+12x 404-320=12x 84=12x 7 hours extra so total hours = 40 +7
 Linear-equations/742025: change the equation to slope -intercept form. 7x+3y=241 solutions Answer 452245 by mananth(12270)   on 2013-04-25 21:39:59 (Show Source): You can put this solution on YOUR website!7x+3y=24 -7x 3y=24-7x /3 y=8-(7/3)x y=-(7/3)x+8
 Linear-systems/741985: I need help writing the equations for this word problem. Two airplanes flying in opposite directions from the same airport. The second plane flies 50 mph faster than the first plane, but it starts one-half hour later. Two hours after the first plane started, the planes are 1825 miles apart. How fast is each plane flying? Do I need to use d=rt? is one of the equations x + y =1825? Appreciate any help. 1 solutions Answer 452228 by mananth(12270)   on 2013-04-25 20:34:01 (Show Source): You can put this solution on YOUR website!I need help writing the equations for this word problem. Two airplanes flying in opposite directions from the same airport. The second plane flies 50 mph faster than the first plane, but it starts one-half hour later. Two hours after the first plane started, the planes are 1825 miles apart. How fast is each plane flying? first plane x mph Plane II x+50 mph starts 1.5 hours later. during this period the plane I has traveled 1.5x miles Add up their speeds => x+x+50=>2x+50 mph. ( traveling in opposite direction) distance = r*t Total distance = distance plane I flying alone + distance both flying 1825=1.5x +0.5(2x+50) 1825=1.5x +x+25 1825-25=2.5x 1800=2.5x x=720 plane I speed = 720 mph
 �t�e�s�t/741987: 22r - 15s - 3r + 3s = (a) 15rs (b) 22r - 15s (c) 7rs (d) 19r - 12s (e) None of these what are the steps to answer this questions 1 solutions Answer 452227 by mananth(12270)   on 2013-04-25 20:24:31 (Show Source): You can put this solution on YOUR website!22r - 15s - 3r + 3s = rewrite placing similar terms together 22r - 3r + 3s-15s = add like terms 19r-12s
 Length-and-distance/741988: What is the distance between the points (37,19) and (19,-5)1 solutions Answer 452226 by mananth(12270)   on 2013-04-25 20:20:59 (Show Source): You can put this solution on YOUR website!Distance between two points x1 y1 x2 y2 37 19 19 -5 d= d= d= d= d= 30.00 m.ananth@hotmail.ca
 Linear-equations/741703: Write the equation of the line that contains the indicated pair of points. Express the final equation in standard form. x intercept of 2 and y intercept of -10 1 solutions Answer 452119 by mananth(12270)   on 2013-04-25 09:12:43 (Show Source): You can put this solution on YOUR website!The co ordinates of intersection will be (2,0)& (0,-10) 2y=10x-20 10x-2y=20
 Equations/741706: Can you help me to understand how to solve this equation? 2x-3[x+4(5-2)] Thank you! 1 solutions Answer 452117 by mananth(12270)   on 2013-04-25 09:04:22 (Show Source): You can put this solution on YOUR website!this is not an equation
 Graphs/741707: Find the value of c so that the line passing through (1,2) and (3,c) is parallel to y= -3x+5/2.1 solutions Answer 452116 by mananth(12270)   on 2013-04-25 09:02:45 (Show Source): You can put this solution on YOUR website!(1,2) and (3,c) is parallel to y= -3x+5/2. slope m = -3 slope between two points -3= (c-2)/(3-1) -3*2=c-2 -6=c-2 c=-4
 Linear-systems/741688: sir what is (2x)/(3)-(7y)/(2)= -5 (5x)/(3)-(y)/(2)= 4?1 solutions Answer 452108 by mananth(12270)   on 2013-04-25 08:20:49 (Show Source): You can put this solution on YOUR website! LCM of the denominator is 6 multiply equation by 6 4x-21y=-30.................................(1) same way multiply eqation by 6 10x-3y=24...............................(2) solve for x & y Eliminate y multiply (1)by 1.00 Multiply (2) by -7.00 4.00 x -21.00 y = -30.00 -70.00 x + 21.00 y = -168.00 Add the two equations -66.00 x = -198.00 / -66.00 x = 3.00 plug value of x in (1) 4.00 x -21.00 y = -30.00 12.00 -21.00 y = -30.00 -21.00 y = -30.00 -12.00 -21.00 y = -42.00 y = 2.00
 Numbers_Word_Problems/741675: the product of two consecutive integers is 80 more than 15 times the larger integer. what are the integers ?1 solutions Answer 452105 by mananth(12270)   on 2013-04-25 07:30:42 (Show Source): You can put this solution on YOUR website!let the two integers be x & x+1 x(x+1)= 15(x+1)+80 x^2+x=15x+15+80 x^2x-14x-95=0 solve the quadratic the factors are 19 & 5
 Equations/741233: if a car travelled 5 kilometers an hour faster it would take an hours less to travel 210 km,what is the original speed of the car and what time does it take?1 solutions Answer 451916 by mananth(12270)   on 2013-04-24 07:57:02 (Show Source): You can put this solution on YOUR website!d=210 original speed=x increased speed = x+5 Time original -time with increased speed = 1 t=d/r simplify multiply equation by x(x+5) 210(x+5)-210x=x(x+5) 210x+1050-210x=x^2+5x x^2+5x-1050=0 x^2+35x-30x-1050=0 x(x+35)-30(x+35)=0 (x-30)(x+35)=0 x= 30 OR -35 ignore negative There you are
 Graphs/741235: find the slope-intercept form of the line whos slope is 4 and passes through the point ( -9, 11)1 solutions Answer 451915 by mananth(12270)   on 2013-04-24 07:50:56 (Show Source): You can put this solution on YOUR website!use the formula y-y1=m(x-x1) 4 = m (x1,y1) (-9,11) y-11=4(x-(-9)) y-11=4x+36 y=4x+47
 Functions/741240: Find the difference between the sum of the first positive 100 multiples of 3 and the sum of the first 100 positive even integers. 1 solutions Answer 451913 by mananth(12270)   on 2013-04-24 07:48:17 (Show Source): You can put this solution on YOUR website!multiples of 3 3,6,9,......... n=100 a=3 d=3 sn=n/2[2a+(n-1)d)] =>100/2[6+99*3] =>50*303 => 15150 --- even integers a=2 d=2 n=100 Sn=n/2[2a+(n-1)d] =50[4+99*2] =50(202) =10100 Find the difference
 Travel_Word_Problems/741222: A motorist travelled from town x to Town Y. After travelling for 1.5hour, he passed a cyclist travelling at an average spped of 45 km/h in the opposite direction. when the motorist reached town y two hours later, the cyclist was 30 km away from Town X. a) Find the average speed of the motorist b) Find the distance between town x and town y. 1 solutions Answer 451911 by mananth(12270)   on 2013-04-24 06:33:12 (Show Source): You can put this solution on YOUR website!from the meeting point motorist took 2 hours to reach Y. In two hours cyclist would have gone 90 km he was 30 km from X So total distance of 90+30 =120 km the motorist took 1.5 hours r=d/t 120/1.5 = 80 km/h motorist speed. Total time by motorist = 3.5 hours distance between X & Y = 80 *3.5 =280 km
 Circles/741225: Discs of radius 4 cm are cut from a rectangular plastic sheet of length 84cm and width 24cm.How many complete discs can be cut out? 1 solutions Answer 451910 by mananth(12270)   on 2013-04-24 06:15:50 (Show Source): You can put this solution on YOUR website! Area of sheet = 84*24=2016 cm^2 Area of disc = pi * r^2= pi*4^2= 50.26 2016/50.26= 40 numbers