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 Numeric_Fractions/592589: Ive been trying for hours to solve this please help 2x*2+7x-4 divided by 6x*2+7x-51 solutions Answer 376013 by ankor@dixie-net.com(15746)   on 2012-03-28 08:22:01 (Show Source): You can put this solution on YOUR website!We can write it: : : Factor and see what happens : Cancel out (2x-1)'s and you have
 Travel_Word_Problems/592319: The equation is h(t)=-16t2+1000. An object is being dropped from a height of 1000 feet. How long would it take to drop to 500 feet?1 solutions Answer 375969 by ankor@dixie-net.com(15746)   on 2012-03-27 20:06:50 (Show Source): You can put this solution on YOUR website!The equation is h(t)=-16t2+1000. An object is being dropped from a height of 1000 feet. How long would it take to drop to 500 feet? : When it has dropped 500', it will be 500' above the ground , therefore h(t) = 500 -16t^2 + 1000 = 500 -16t^2 = 500 - 1000 -16t^2 = -500 Multiply both sides by -1 16t^2 = 500 divide both sides by 16 t^2 = t^2 = 31.25 t = t = 5.59 seconds to drop 500 ft
 Problems-with-consecutive-odd-even-integers/592166: Combine into a single fraction in lowest terms: Reduce to a single fraction in lowest terms: 2y/y^2-4+1/2-y1 solutions Answer 375965 by ankor@dixie-net.com(15746)   on 2012-03-27 19:51:09 (Show Source): You can put this solution on YOUR website!Reduce to a single fraction in lowest terms: + : Note that the 1st denominator is the "difference of squares" can be factored to + : We can make the 2nd denominator like the 1st by factoring out -1, so we have + : Change the sign and we are rid of the -1 - : we can see the common denominator will be (y-2)(y+2) = = : Cancel (y-2), resulting in
 Polynomials-and-rational-expressions/592321: Hello. I need to know how you multiply this expression: (x-2)/(x+3) * (4x+12)/(6). Now, I've gotten to the step where the problem is simplified to (x-2)/(1) * (4)/(6). I don't really know how to go about multiplying that expression, so could you please help? I have a big math test tomorrow and need to understand these concepts before it's too late. Thank you!1 solutions Answer 375954 by ankor@dixie-net.com(15746)   on 2012-03-27 19:29:01 (Show Source): You can put this solution on YOUR website!multiply this expression: (x-2)/(x+3) * (4x+12)/(6). : * Factoring will help here before we multiply * We can cancel (x+3) and then we have (x - 2) * Reduce the fraction, then multiply (x - 2) * = or : Generally you multiply the numerators, and multiply the denominators. then reduce the fraction But factoring and canceling can greatly simplify the operation
 Travel_Word_Problems/592099: A cattle train left miami and traveled toward New York. 14 hours later a diesel train left traveling at 45km/hr in an effort to catch up to the cattle train. after traveling for four hours, the diesel train caught up. find the average speed of cattle train1 solutions Answer 375937 by ankor@dixie-net.com(15746)   on 2012-03-27 17:50:12 (Show Source): You can put this solution on YOUR website!cattle train left miami and traveled toward New York. 14 hours later a diesel train left traveling at 45km/hr in an effort to catch up to the cattle train. after traveling for four hours, the diesel train caught up. find the average speed of cattle train : Travel time of the diesel is given as 4 hrs then 4 + 14 = 18 hrs is the travel time of the cattle train : let s = speed of the cattle train : When the diesel catches the cattle, they will have traveled the same distance Write a distance equation; dist = speed * time : 18s = 4*45 18s = 180 s = 180/18 s = 10 mph is the cattle train : Confirm this solution by finding the distance of each train 4*45 = 180 mi 18*10= 180 mi
 Linear_Equations_And_Systems_Word_Problems/592255: One day Ayaan covered a distance of 24 km at x km/hr and another 40 km at y km/hr. Next day he covered 18 km at x km/hr and another 48 km at y km/hr. If each day he took 9 hours to complete his journey, find the corresponding values of speed of x and y.1 solutions Answer 375926 by ankor@dixie-net.com(15746)   on 2012-03-27 17:24:33 (Show Source): You can put this solution on YOUR website!One day Mayan covered a distance of 24 km at x km/hr and another 40 km at y km/hr. Next day he covered 18 km at x km/hr and another 48 km at y km/hr. If each day he took 9 hours to complete his journey, find the corresponding values of speed of x and y. : Write a time equation for each day : + = 9 and + = 9 : Multiply the 1st equation by 1.2, subtract the 2nd equation + = 10.8 + = 9 ---------------------------subtraction eliminates y } + 0 = 1.8 10.8 = 1.8x x = x = 6 km/hr : Find the y using the 1st day equation + = 9 4 + = 9 = 9-4 40 = 5y y = 40/5 y = 8 km/hr : : Check solutions in the 2nd day equation : + = 9 3 + 6 = 9
 Travel_Word_Problems/592150: Lisa drove 100 miles, then increased her speed by 25 miles per hour for 225 miles. If the second part of the drive took 1 hour longer than the first part, find her average speed.1 solutions Answer 375909 by ankor@dixie-net.com(15746)   on 2012-03-27 15:29:29 (Show Source): You can put this solution on YOUR website!drove 100 miles, then increased her speed by 25 miles per hour for 225 miles. If the second part of the drive took 1 hour longer than the first part, find her average speed. : Let s = speed the 1s 100 miles then (s+25) = speed on the last 225 miles : Write a time equation; time = dist/speed - = 1 multiply by s(s+25) s(s+25)* - s(s+25)* = s(s+25) 225s - 100(s+25) = s^2 + 25s 225s - 100s - 2500 = s^2 + 25s 125s - 2500 = s^2 + 25s 0 = s^2 + 25s - 125s + 2500 A quadratic equation s^2 - 100s + 2500 = 0 Factors to: (s-50)(s-50) = 0 s = 50 mph on the 1st 100 mi then 75 mph on last 225 mi : Let a = average speed for the whole trip which was 325 mi + = multiply by 150a to clear the denominators; results 3a(100) + 2a(225) = 150(325) 300a + 450a = 48750 750a = 48750 a = 65 mph is the average speed for the trip : : Check this out with a time equation 100/50 + 225/75 = 325/65 2 + 3 = 5
 Miscellaneous_Word_Problems/592130: Because of Earth's curvature, a person can see a limited distance to the horizon. The highere the location of a person, the farther that person can see. The distance D in miles to the horizon can be estimated by D(h) = 1.22√h, where h is the height of the person above the ground in feet. How high does a person need to be to see 23 miles?1 solutions Answer 375896 by ankor@dixie-net.com(15746)   on 2012-03-27 14:43:50 (Show Source): You can put this solution on YOUR website!Because of Earth's curvature, a person can see a limited distance to the horizon. The higher the location of a person, the farther that person can see. The distance D in miles to the horizon can be estimated by D(h) = 1.22√h, where h is the height of the person above the ground in feet. How high does a person need to be to see 23 miles? : = 23 ; = Square both sides h = 355.4 ft
 Age_Word_Problems/592092: in 20 years time i will be 3 times as old as i was 8 years ago. how old am i now 1 solutions Answer 375891 by ankor@dixie-net.com(15746)   on 2012-03-27 14:33:55 (Show Source): You can put this solution on YOUR website!in 20 years time i will be 3 times as old as i was 8 years ago. how old am i now : let a = your present age : Write an equation for exactly what it says: : a + 20 = 3(a-8) a + 20 = 3a - 24 20 + 24 = 3a - a 44 = 2a a = 44/2 a = 22 yrs is your present age ; : Check this 22 + 20 = 3(22-8)
 Age_Word_Problems/591676: If you reverse the digits of Johns age you get Gordens age. The difference between there two ages is Susan's age and Gordon is 10 times as old as susan. What are their ages?1 solutions Answer 375847 by ankor@dixie-net.com(15746)   on 2012-03-27 09:22:43 (Show Source): You can put this solution on YOUR website!If you reverse the digits of Johns age you get Gordens age. The difference between there two ages is Susan's age and Gordon is 10 times as old as susan. What are their ages? : Let John's age = 10a+b then Gordan's age = 10b+a Let s = Susan's age : "The difference between there two ages is Susan's age" S = (10a+b)-(10b+a) S = 10a - a - 10b + b S = 9a - 9b : "Gordon is 10 times as old as Susan." This means the unit digit of Gordan's age = 0, then the first digit of John's age = 0, therefore: a = 0 and S = -9b, does not make much sense, does it.
 Linear-systems/591879: Solve using substitution y=3x+8 3y-x=7 I found the value of x, but I get stuck when trying to find y y=3(-17/8)+8 Please help I know the answer x=13/8 but I want to know how to get the answer!!! Thank you1 solutions Answer 375784 by ankor@dixie-net.com(15746)   on 2012-03-26 19:23:40 (Show Source): You can put this solution on YOUR website!Solve using substitution y = 3x + 8 3y - x = 7 substitute (3x+8) for y 3(3x+8) - x = 7 9x + 24 - x = 7 9x - x = 7 - 24 8x = -17 x = -17/8, which you got : The using the 1st equation, replace x y = 3(-17/8) + 8 y = -51/8 + 8 Change 8 to 64/8 y = -51/8 + 64/8 y = 13/8 : : Check solutions in the 2nd equation 3y - x = 7 3(13/8) - (-17/8) = 7 39/8 + 17/8 = 56/8 = 7
 Age_Word_Problems/591626: "how old are you nelson?"asked the young child "well my present age is 6 times what it will be in 8 years time, less 6 times what it was 5 years ago,"said nelson .how old is he?1 solutions Answer 375765 by ankor@dixie-net.com(15746)   on 2012-03-26 17:38:46 (Show Source): You can put this solution on YOUR website! my present age is 6 times what it will be in 8 years time, less 6 times what it was 5 years ago, : Let n = his present age : n = 6(n+8) - 6(n-5) n = 6n + 48 - 6n + 30 n = 78 is his present age
 Percentage-and-ratio-word-problems/591610: Liquids A and B are mixed in the ratio 2:7 (by volume). What volume of liquid would be present in the solution if it contained 56 ml of liquid B? 1 solutions Answer 375760 by ankor@dixie-net.com(15746)   on 2012-03-26 16:54:45 (Show Source): You can put this solution on YOUR website!Liquids A and B are mixed in the ratio 2:7 (by volume). What volume of liquid would be present in the solution if it contained 56 ml of liquid B? : A ratio equation to find the amt of liquid A : = Cross multiply 7A = 56 * 2 7A = 112 A = 112/7 A = 16 ml : Total volume: 56 + 16 = 72 ml
 Linear_Equations_And_Systems_Word_Problems/591609: There are originally 265 foxes and 104 rabbits on a particular game reserve. The fox population grows at a rate of 36 foxes per year, and the rabbits increase at a rate of 65 rabbits per year. Under these conditions, how long does it take for the number of rabbits to catch up with the number of foxes? Years How many of each animal will be present at that time? foxes rabbits Thank you for your help! 1 solutions Answer 375756 by ankor@dixie-net.com(15746)   on 2012-03-26 16:45:26 (Show Source): You can put this solution on YOUR website!There are originally 265 foxes and 104 rabbits on a particular game reserve. The fox population grows at a rate of 36 foxes per year, and the rabbits increase at a rate of 65 rabbits per year. Under these conditions, how long does it take for the number of rabbits to catch up with the number of foxes? : Let y = no. of yrs for them to be equal : Rabbits = Foxes 65y + 104 = 36y + 265 65y - 36y = 265 - 104 29y = 161 y = 161/29 y = 5.55 yrs : How many of each animal will be present at that time? 65(5.55) + 104 ~ 465 rabbits 36(1.55) + 265 ~ 465 foxes
 Geometry_Word_Problems/591786: figure the distance between corners (diagonal) on a square 35 1/2"W x 35 1/2"D1 solutions Answer 375746 by ankor@dixie-net.com(15746)   on 2012-03-26 16:01:48 (Show Source): You can put this solution on YOUR website!(diagonal) on a square 35 1/2"W x 35 1/2"D : d = d = 50.2
 Word_Problems_With_Coins/591742: I have \$1.45 in nickels and dimes, if the nickels had been dimes and the dimes had been nickels, I would have \$1.25. How many nickels and dimes do I actually have? Please explain step by step thank you.1 solutions Answer 375744 by ankor@dixie-net.com(15746)   on 2012-03-26 15:54:43 (Show Source): You can put this solution on YOUR website!Let n = original number of nickels Let d = original number of dimes ; Write an equation for each statement: : "I have \$1.45 in nickels and dimes," .05n + .10d = 1.45 : "if the nickels had been dimes and the dimes had been nickels, I would have \$1.25." .10n + .05d = 1.25 : Multiply the 1st equation by 2, subtract the 2nd equation .10n + .20d = 2.90 .10n + .05d = 1.25 -------------------- subtraction eliminates n, find d 0 + .15d = 1.65 d = d = 11 dimes originally : Use the 1st equation to find n, replace d with 11 .05n + .10(11) = 1.25 .05n + 1.10 = 1.25 .05n = 1.25 - 1.10 .05n = .15 n = n = 3 nickels originally : : Check these solutions using the statement: if the nickels had been dimes and the dimes had been nickels, I would have \$1.25." 3(.05) + .10(11) = .15 + 1.10 = 1.25; confirms our solutions of n=3, d=11
 Functions/591535: Mr. Jellyby was working with transformations of exponential functions when he believed he made a discovery. He found out thatall exponential functions b^x could be written as e^nx, where the value of n dependedon the value of b. a. For b=2, slove for n ( that is, solve for n in the equation 2^x=e^nx.) b Write a formula to determine n given any b.1 solutions Answer 375711 by ankor@dixie-net.com(15746)   on 2012-03-26 12:15:32 (Show Source): You can put this solution on YOUR website!a. For b=2, solve for n ( that is, solve for n in the equation 2^x=e^nx.) log equiv of exponents, ln(e) = 1 x*ln(2) = nx divide both side by x ln(2) = n n = .693 : b Write a formula to determine n given any b. n = ln(b)
 Volume/591477: Copying the question from test. The box below has a volume of 72ft3. Use the equation to solve for x. Finally, label the width and the height of the box. equations x-3, x+1,and 6ft. Hope this helps on how to solve it. Please I need it send by tonight or tomorrow. I got a test on Tues. 1 solutions Answer 375656 by ankor@dixie-net.com(15746)   on 2012-03-25 22:01:49 (Show Source): You can put this solution on YOUR website!The box below has a volume of 72ft3. Use the equation to solve for x. Finally, label the width and the height of the box. equations x-3, x+1, and 6 ft. : The equation will be the volume which is L * W * H, in this problem W = (x-3) L = (x+1) H = 6 : We could write like this 6*(x-3)*(x+1) = 72 divide both sides by 6 (x-3)(x+1) = 72/6 (x-3)(x+1) = 12 FOIL x^2 + x - 3x - 3 = 12 Arrange as a quadratic equation x^2 - 2x - 3 - 12 = 0 x^2 - 2x - 15 = 0 Factors to (x+3)(x-5) = 0 Th positive solution is what we want here x = 5 then Width: 5-3 = 2 ft Length: 5+1 = 6 ft Height given as 6 t : Check the volume 2 * 6 * 6 = 72 cu/ft
 logarithm/591523: Find logbase 7 of 121 solutions Answer 375654 by ankor@dixie-net.com(15746)   on 2012-03-25 21:44:04 (Show Source): You can put this solution on YOUR website!Find logbase 7 of 12 write it log7(12) = y exponent equiv = 12 using common logs y*log(7) = log(12) y = y = 1.27699
 Geometry_Word_Problems/591382: The maximum distance that a radio signal can reach directly is the length of the segment tangent to the curve of the Earth's surface. If the angles formed by the tangent radio signals and the tower are 89.5 degrees, what is the measure of the intercepted arc of the Earth? Given that the radius of Earth is approximately 4000 miles, estimate how far the signal can reach.1 solutions Answer 375623 by ankor@dixie-net.com(15746)   on 2012-03-25 20:32:00 (Show Source): You can put this solution on YOUR website!The maximum distance that a radio signal can reach directly is the length of the segment tangent to the curve of the Earth's surface. If the angles formed by the tangent radio signals and the tower are 89.5 degrees, what is the measure of the intercepted arc of the Earth? Given that the radius of Earth is approximately 4000 miles, estimate how far the signal can reach. : We can solve this as a right triangle using the tangent of 89.5 let d = side representing the distance from the tower to the horizen tan(89.5) = 114.58865 = d = d = 34.907 miles : The difference between the arc of the earth and the distance from the tower to the horizon is negligible
 Linear_Equations_And_Systems_Word_Problems/591344: Between 1980 and 1990, a monthly rent for a one bedroom apartment increased by \$20 per year. In 1987, the rent was \$350 per month. Find an equation that gives the monthly rent in dollars, y, in terms of the year, t. Let t = 0, correspond to 1980.1 solutions Answer 375616 by ankor@dixie-net.com(15746)   on 2012-03-25 19:40:31 (Show Source): You can put this solution on YOUR website!Between 1980 and 1990, a monthly rent for a one bedroom apartment increased by \$20 per year. In 1987, the rent was \$350 per month. Find an equation that gives the monthly rent in dollars, y, in terms of the year, t. Let t = 0, correspond to 1980. : From the information given we can find the slope easily using "rise/run" a \$20 rise for each year, therefore m=20 : let b = rent in 1980 (t=0) y = 20t + b In 1987 t=7, y=350, find b 20(7) + b = 350 140 + b = 350 b = 350 -140 b = 210 therefore the equation y = 20t + 210
 Volume/591327: An ice cube that measures 3.5 centimeters on each side contains how many cubic centimeters of ice? Please give me correct unit.1 solutions Answer 375614 by ankor@dixie-net.com(15746)   on 2012-03-25 19:26:57 (Show Source): You can put this solution on YOUR website!3.5^3 = 42.875 cu/cm
 Human-and-algebraic-language/591429: mr rich had a custom built sandbox made forhis young son. In order to personalize it he required that the width be 7 feet less than 3 times his young sons age and the length be 4 feet more than 2 his sons age. the Perimeter has to be his own age of 54 years old. Find the sons age and use it to find the dimensions of the sandbox1 solutions Answer 375613 by ankor@dixie-net.com(15746)   on 2012-03-25 19:12:31 (Show Source): You can put this solution on YOUR website!In order to personalize it he required that the width be 7 feet less than 3 times his young sons age and the length be 4 feet more than 2 his sons age. the Perimeter has to be his own age of 54 years old. Find the sons age and use it to find the dimensions of the sandbox : let s = the son's age then "the width be 7 feet less than 3 times his young sons age" w = 3s-7 : "the length be 4 feet more than 2 his sons age." L = 2s+4 : "Perimeter has to be his own age of 54 years old." p = 54 2L + 2W = 54 Simplify, divide by 2 L + w = 27 L = (27-w) : Replace L with (2s+4), replace w with (3s-7) 2s + 4 = 27 - (3s-7) 2s + 4 = 27 - 3s + 7 Combine like terms 2s + 3s = 27 + 7 - 4 5s = 30 s = 6 yrs old is his son's age : Find w w = 3(6)-7 w = 11 ft wide find L L = 2(6)+4 L = 16 ft long : : Check this by finding the perimeter using these dimensions 2(16) + 2(11) = 32 + 22 = 54; confirm our solutions
 Geometry_Word_Problems/591422: if i am givien the area of a shape but i need to find out the perimeter how do i do that?? Thanks 1 solutions Answer 375611 by ankor@dixie-net.com(15746)   on 2012-03-25 18:36:28 (Show Source): You can put this solution on YOUR website!if i am given the area of a shape but i need to find out the perimeter how do i do that?? The only shape that you can do this with is if the sides are equal, for example a square. Find the square root of the area, multiply that by 4 to get the perimeter
 Polynomials-and-rational-expressions/591407: the are of a rectangular swimmimg pool is given by 3x^2+7x+4 ft^2. One length of the pool is given by 3x+4 ft. what is an algebraic experssion for the othe side length of the pool? Simplify thisand include correct units as a part of your answer1 solutions Answer 375610 by ankor@dixie-net.com(15746)   on 2012-03-25 18:13:58 (Show Source): You can put this solution on YOUR website!the area of a rectangular swimming pool is given by 3x^2+7x+4 ft^2. One length of the pool is given by 3x+4 ft. what is an algebraic expression for the other side length of the pool? Simplify this and include correct units as a part of your answer : to find the other side, divide the area by the known side : Factor Cancel out (3x+4), leaving us with x+1 is the other sides of the pool
 Volume/591117: A cylinder shaped water tank holds 200,000 gallons of water. The height of the tank is 48ft. To the nearest tenth of a foot, what is the radius of the tank?1 solutions Answer 375505 by ankor@dixie-net.com(15746)   on 2012-03-24 21:28:16 (Show Source): You can put this solution on YOUR website!A cylinder shaped water tank holds 200,000 gallons of water. The height of the tank is 48ft. To the nearest tenth of a foot, what is the radius of the tank? : Change 200,000 gal to cu/ft: .1337*200000 = 26740 cu/ft : Using the volume of a cylinder formula = 26740 : = : = 177.325 r = r ~ 13.3 ~ 13 ft is the radius : : Check this on a calc: (7.481 gal in one cu/ft) ; results: 199551 ~ 200,000
 test/590872: Tyre has 7 3/8 of candy if she gives 1/3 of candy to each one of her three friends how much candy did each of her friends receive?1 solutions Answer 375484 by ankor@dixie-net.com(15746)   on 2012-03-24 18:29:22 (Show Source): You can put this solution on YOUR website!Tyre has 7 3/8 of candy if she gives 1/3 of candy to each one of her three friends how much candy did each of her friends receive? : Change 7 3/8 to an improper fraction: 8*7 + 3 = : * = = 2 to each of the 3 friends
 Mixture_Word_Problems/590940: how to solve (1+0.03) raise to 730, please answer1 solutions Answer 375379 by ankor@dixie-net.com(15746)   on 2012-03-24 08:30:56 (Show Source): You can put this solution on YOUR website!solve (1+0.03) raise to 730 put this in your calculator: 1.03^730, you should get: 2,350,574,578