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 logarithm/549532: 2log(x)-log(10)-3=01 solutions Answer 357823 by mananth(12270)   on 2011-12-21 08:36:28 (Show Source): You can put this solution on YOUR website!2log(x)-log(10)-3=0 log(10)=1 2log(x)-1-3=0 2log(x)-4=0 2log(x)=4 /2 log(x)=2 x=10^2 x=100
 Linear_Equations_And_Systems_Word_Problems/549500: Divide \$80 among three people so that the second will have twice as much as the first, and the third will have \$5 less than the second.(x=17)1 solutions Answer 357822 by mananth(12270)   on 2011-12-21 08:25:39 (Show Source): You can put this solution on YOUR website!let first have x second has 2x third has (2x-5) x+2x+2x-5=80 5x-5=80 5x=85 /5 x=17 17, 34,29
 Divisibility_and_Prime_Numbers/549528: i am a two digit prime number the product of my digits is 24 what number am i?1 solutions Answer 357821 by mananth(12270)   on 2011-12-21 08:21:52 (Show Source): You can put this solution on YOUR website!Factorize 24 24=2*2*2*3 split the factors into two terms such that you get 24 on multuiplying them 3 & 8 OR 8 &3 83 is the number
 Geometry_Word_Problems/549531: Give the complement of angle 51 1/2, give solution1 solutions Answer 357820 by mananth(12270)   on 2011-12-21 08:16:22 (Show Source): You can put this solution on YOUR website!angle = 51.5 sum of complementary angles = 90 complement = 90-50.5 complement = 39.5
 Linear_Equations_And_Systems_Word_Problems/549523: Divide \$80 among three people so that the second will have the twice as much as much the first ,and the third will have \$5 less than the second .(x=17)1 solutions Answer 357818 by mananth(12270)   on 2011-12-21 08:06:33 (Show Source): You can put this solution on YOUR website!let first have x second has 2x third has (2x-5) x+2x+2x-5=80 5x-5=80 5x=85 /5 x=17 17, 34,29
 Rectangles/549527: The length of a rectangle is 19 feet longer than the width. If the perimeter is 46 feet, which equation could be used to find the dimensions of the rectangle? 1 solutions Answer 357814 by mananth(12270)   on 2011-12-21 07:54:40 (Show Source): You can put this solution on YOUR website!width =x length = x+19 Perimeter = 2(L+W) Perimeter = 2(x+x+19) 2(2x+19)=46 4x+38=46 4x=46-38 4x=8 /4 x=2 width = 2 feet length = 21 feet
 Travel_Word_Problems/549526: A plane is moving nonstop from New York to San Francisco (a distance of 700 miles from New York), after one and half hours, it flies over Chicago(a distance of 800 miles from New York).Estimate the time it will move from New York to San Francisco. 1 solutions Answer 357813 by mananth(12270)   on 2011-12-21 07:52:07 (Show Source): You can put this solution on YOUR website!how can NY to frisco be less than NY to chicago ? I am confused
 Rational-functions/549524: I'm having a hard time understanding how to take number in radical form and turn it back into a number with a fractional exponent. Example: From what i somewhat understand it looks like it would turn in to 5^1/5 but i have been told that is not the right answer. If you could help it would be appreciated.1 solutions Answer 357812 by mananth(12270)   on 2011-12-21 07:48:26 (Show Source): You can put this solution on YOUR website! if this is correct then it is
 Quadratic_Equations/549521: A garden measuring 12 meters by 16 meters is to have a pedestrian pathway installed all around it, increasing the total area to 285 square meters. What will be the width of the pathway? 1 solutions Answer 357811 by mananth(12270)   on 2011-12-21 07:16:00 (Show Source): You can put this solution on YOUR website!Area of garden = 12*16= 192 sq.m lenngth including pathway = 16+2x width including pathway = 12+2x Total area = (16+2x)(12+2x) Total area =285 (16+2x)(12+2x)=285 192+32x+24x+4x^2=285 4x^2+56x+192=285 4x^2+56x-93=0 Find the roots of the equation by quadratic formula a= 4 b= 56 c= -93 b^2-4ac= 3136 + 1488 b^2-4ac= 4624 = 68 x1=( -56 + 68 )/ 8 x1= 1.5 x2=( -56 -68 ) / 8 x2= -15.5 Ignore negative value width of pathway = 1.5 m m.ananth@hotmail.ca
 Proportions/549439: I need help on solving these type of problems1 solutions Answer 357809 by mananth(12270)   on 2011-12-21 07:09:50 (Show Source): You can put this solution on YOUR website!which type?
 Surface-area/549513: how to find the circumference of a circle1 solutions Answer 357808 by mananth(12270)   on 2011-12-21 07:08:13 (Show Source): You can put this solution on YOUR website!formula for circumference = 2 * pi * r r= radius
 Graphs/549516: Graph the linear equation by picking points y=4x+3 1 solutions Answer 357807 by mananth(12270)   on 2011-12-21 07:07:00 (Show Source): You can put this solution on YOUR website!y= 4 x + 3 Assume values of x and plug in the equation to get values of y. Plot the points x 0 1 2 -1 y= 3 7 11 -1 (x,y) (0,3),(1,7),(2,11)(-1,-1)
 Quadratic_Equations/549468: solve for x i) (3x-4)(x+1)=2 ii) x-2/x-1=5/x , x#0,x#11 solutions Answer 357804 by mananth(12270)   on 2011-12-21 02:40:34 (Show Source): You can put this solution on YOUR website!i) (3x-4)(x+1)=2 (3x(x+1)-4(x+1)=2 Find roots of the quadratic equation a=3,b=-1,c=-6 x1=(1+sqrt(1--72)/6 = 73 x1=14.32 x2=(-1- sqrt(1- -72)/6 x2=-11.32 ------------- ii) (x-2/x)-1=(5/x) , x#0,x#1 OR is it (x-2)/(x-1)=5/x
 Rectangles/549446: A rectangle is 8cm longer than it is wide. If its length and width are both increased by 2cm, its area is increased by 68cm². Find its original dimensions1 solutions Answer 357802 by mananth(12270)   on 2011-12-21 02:27:46 (Show Source): You can put this solution on YOUR website!width = x length = x+8 Area = x(x+8) ------ New width = x+2 New length = x+10 New Area == (x+2)(x+10) (x+2)(x+10)-x(x+8)= 68 4x=68-20 4x=48 /4 x=12 cm the width length = 12+8 =20cm
 Travel_Word_Problems/549415: two cars start at the same moment from opposite stations 7 miles apart. they drive toward each other on the same road at constant speeds, one at 25mph and the other at 45mph. after how many minutes will they pass each other on the road1 solutions Answer 357801 by mananth(12270)   on 2011-12-21 02:22:12 (Show Source): You can put this solution on YOUR website!Car I speed = 25 Car II speed = 45 they are driving towards each other add up speeds effective speed = 70 mph distance = 7 miles t= 7/70 t=1/10 hour 1/10 * 60 = 6 minutes
 Volume/549385: What is the volume of a cuboid with base 8cm by 8cm and height 3cm? Give your answer in cubic centimetres.1 solutions Answer 357800 by mananth(12270)   on 2011-12-21 02:18:42 (Show Source): You can put this solution on YOUR website!Volume = L*W*H Volume = 8*8*3=48 cm^3
 Rectangles/549401: the length of a rectangle is three less than two times the width. the perimeter of the rectangle is 78 inches. find the length and the width of the rectangle1 solutions Answer 357799 by mananth(12270)   on 2011-12-21 02:17:20 (Show Source): You can put this solution on YOUR website!width =x length = 2x-3 Perimeter =78 Perimeter = 2(x+2x-3) 2(3x-3)=78 6x-6=78 6x=84 /6 x=14 the width length = 2*14-3=25 inches
 Mixture_Word_Problems/549394: A chemist has 40 ounces of a solution of iodine and alcohol, which is 15% iodine. How much pure iodine must be added to make a solution that is 20% iodine?1 solutions Answer 357798 by mananth(12270)   on 2011-12-21 02:14:17 (Show Source): You can put this solution on YOUR website! --------percent ---------------- quantity Iodine 15 ---------------- 40 oz Iodine 100 ---------------- x oz Mixture 20 ---------------- 40 + x oz 15*40+100x=20(40+x) 600+100x=800+20x 100x-20x=800-600 80x=200 / 80 x = 2.5 2.5 oz of Iodine
 Pythagorean-theorem/549425: right triangle: a= 6x b=8x and the hypotenuse is 90m. what is the length of side a and side b??1 solutions Answer 357796 by mananth(12270)   on 2011-12-21 02:09:36 (Show Source): You can put this solution on YOUR website!By Pythagoras theorem /100 take the square root x=10 the sieds are 60 & 80
 Volume/549475: how much water could a pot hold in gallons if the pot is 10 inches tall and 12 inches in diameter1 solutions Answer 357795 by mananth(12270)   on 2011-12-21 02:04:06 (Show Source): You can put this solution on YOUR website!Volume of cylinder= pi*r^2*h r=radius=6 h= height=10 Volume = pi*6^2*10 volume = 1131 in^3 231 cu.in = 1 gallon 1131/231=4.9 gallons
 Linear_Equations_And_Systems_Word_Problems/549491: One number is 10 more than the other. The sum of twice the smaller plus three times the larger, is 55. What are the two numbers?(x=5)1 solutions Answer 357792 by mananth(12270)   on 2011-12-21 01:33:09 (Show Source): You can put this solution on YOUR website!x-y =10-------------x>y 2y+3x=55 1 x -1 y = 10 .............1 3 x + 2 y = 55 .............2 Eliminate y multiply (1)by 2 Multiply (2) by 1 2 x -2 y = 20 3 x + 2 y = 55 Add the two equations 5 x = 75.00 / 5 x = 15 plug value of x in (1) 1 x + -1 y = 10 15 + -1 y = 10 -1 y = 10 -1 y = -5 y = 5
 Linear_Equations_And_Systems_Word_Problems/549493: Two consecutive odd numbers are such that three the times the first is 5 more than twice the second. What are those two odd numbers?(x=4)1 solutions Answer 357791 by mananth(12270)   on 2011-12-21 01:31:01 (Show Source): You can put this solution on YOUR website!let the odd numbers be x & x+2 3x=2(x+2)+5 3x=2x+4+5 3x-2x=9 x=9 9 & 10
 Geometry_Word_Problems/549492: A rectangular plot of lawn of leangth and width respectively x and y meters is surrounded by a pthway of 2 meters width the total area of pathway is ?1 solutions Answer 357789 by mananth(12270)   on 2011-12-21 01:29:11 (Show Source): You can put this solution on YOUR website!length = x width =y Area = xy pathway width =2 length = x+4 width = y+4 Area = (x+4)(y+4) area of pathway = (x+4)(y+4)-xy sq.m
 Linear-systems/549471: 1. -4x-5y=-2 y=-14-8x 1 solutions Answer 357788 by mananth(12270)   on 2011-12-21 01:26:34 (Show Source): You can put this solution on YOUR website!-4 x -5 y = -2 .............1 8 x + 1 y = -14 .............2 Eliminate y multiply (1)by 1 Multiply (2) by 5 -4x-5y = -2 40x+5y = -70 Add the two equations 36 x = -72.00 / 36 x = -2 plug value of x in (1) -4 x + -5 y = -2 8 + -5 y = -2 -5 y = -2 -5 y = -10 y = 2
 Inequalities/549487: Solve 12x-25>=3x-5(x+6). This is what I have 12x-25>=3x-5x-30 12x-25+25>=-2x-30+25 12x>=-2x-5 12x+2x>=-5 14x>=-5 Am I even close? Set builder notation I have no clue?1 solutions Answer 357787 by mananth(12270)   on 2011-12-21 01:23:59 (Show Source): You can put this solution on YOUR website!x>= -5/14 {x|x>=-5/14}
 Systems-of-equations/549488: 8x + y = 74 3x + 197 = 363 Please help me solve this problem! i have already tried -1106/3 and 166/3 and made it into a decimal but it doesnt work! please help!1 solutions Answer 357786 by mananth(12270)   on 2011-12-21 01:19:39 (Show Source): You can put this solution on YOUR website! 8 x + y = 74 .............1 3 x + 197 = 363 .............2 3x=363-197 3x=166 x=166/3 plug 166/3 in first equation 8x+y=74 8*166/3+y=74 1328/3 +y =74 y=74-1328/3 y=(222-1328)/3 y=-1106/3
 logarithm/549482: I am trying to help my niece with an equation. Solving with logarithms, the equation is 5^x=4^(x+3). I cannot remember for the life of me how to solve this..Can you help?1 solutions Answer 357782 by mananth(12270)   on 2011-12-21 00:21:12 (Show Source): You can put this solution on YOUR website!5^x=4^(x+3) x log 5=(x+3)log 4 xlog5-xlog4=3log4 x(log5-log4)=3lo4 x=3log4/(log5-log4) use a calculator
 Rational-functions/549473: (10)/(3x-8)=(2)/(x)1 solutions Answer 357781 by mananth(12270)   on 2011-12-21 00:11:39 (Show Source): You can put this solution on YOUR website! cross multiply 10x=2(3x-8) 10x=6x-16 10x-6x=-16 4x=-16 /4 x=-4
 absolute-value/549442: what is 15% of 40 ?1 solutions Answer 357753 by mananth(12270)   on 2011-12-20 20:19:42 (Show Source): You can put this solution on YOUR website!0.15*40= 6
 Travel_Word_Problems/549443: Two cars leave town at the same time going in the same direction on the same road. One travels 30 mi/h and the other travels 46mi/h. In how many hours will they be 72 miles apart1 solutions Answer 357752 by mananth(12270)   on 2011-12-20 20:18:39 (Show Source): You can put this solution on YOUR website!Same direction so subtract speeds to get effective speed 46-30=16 km/h every hour they will be separated by 16 km distance = 72 time = 72/16 =4.5 hours
 Square-cubic-other-roots/549437: How do I go about solving this problem? The square root of 48K to the 7th powerQ to the 8th power? I really don't know how to begin Thanks for the help1 solutions Answer 357750 by mananth(12270)   on 2011-12-20 20:16:13 (Show Source): You can put this solution on YOUR website! Factorise 48 Since you have to find the square root There are 2 pairs of 2 so 2*2=4 balance is 3 There are 3 pairs of k so k^3 balance k There are 4 pairs of k so q^4balance is 1