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 Graphs/347137: Write a question that can be solved using the equation 5x=45.1 solutions Answer 248235 by ankor@dixie-net.com(15746)   on 2010-09-23 12:29:20 (Show Source): You can put this solution on YOUR website!Write a question that can be solved using the equation 5x=45. : How many x's can you buy for \$45, if they cost \$5 each 5x = 45 x = 45/5 x = 9 x's
 Equations/346956: A person is biking 8m/s when the bike passes a car. The car starts from rest and accelerates at 3m/s. How long will it take for the car to catch up with the bike. 1 solutions Answer 248220 by ankor@dixie-net.com(15746)   on 2010-09-23 11:21:34 (Show Source): You can put this solution on YOUR website!A person is biking 8m/s when the bike passes a car. The car starts from rest and accelerates at 3m/s. How long will it take for the car to catch up with the bike. : Let t = time for the car to overtake the bike (this also is the time that the car accelerates at 3 m/sec : Write a distance equation, both will travel the same distance, dist = speed * time : * t = 8t Multiply both sides by 2, results: 3t * t = 16t : 3t^2 = 16 Divide both sides by t 3t = 16 t = t = 5 seconds for the car to catch the bike ; : Check this; Car will accelerate to: 3*5.33 = 16 m/sec From a standing stop, it's average speed will be half, 8 m/sec Both will travel 8m/sec for 5.33 min or about 42.7 meters
 Rectangles/347035: Is it possible to have a shape with an area of 24 and a perimeter of 20 or less? The shape cannot be a rectangle. What does the shape look like? Thank you!1 solutions Answer 248198 by ankor@dixie-net.com(15746)   on 2010-09-23 09:04:48 (Show Source): You can put this solution on YOUR website!Is it possible to have a shape with an area of 24 and a perimeter of 20 or less? The shape cannot be a rectangle. What does the shape look like? : What about a circle? find r = 24 r = r = 2.764 : Find the circumference : C = 17.34, well below 20
 Angles/346898: Please help me solve this problem: the measure of a supplementary angle is 5 times that of the angle's complement. what is the measure of the complementary angle? Thank you! casey03@rcn.com1 solutions Answer 248125 by ankor@dixie-net.com(15746)   on 2010-09-22 21:53:56 (Show Source): You can put this solution on YOUR website! the measure of a supplementary angle is 5 times that of the angle's complement. what is the measure of the complementary angle? : Let a = the angle then (180-a) = it's supplement and (90-a) = it's complement : The equation for the statement: "the measure of a supplementary angle is 5 times that of the angle's complement." 180 - a = 5(90 - a) 180 - a = 450 - 5a -a + 5a = 450 - 180 4a = 270 a = a = 67.5 degrees but it says," what is the measure of the complementary angle? " 90 - 67.5 = 22.5 degrees is the complementary angle
 Linear-systems/346901: I need help solving the following using the substitution method and the elimination method. I am so stuck trying to figure these out. 4x+3y=48 3x+2y=341 solutions Answer 248120 by ankor@dixie-net.com(15746)   on 2010-09-22 21:44:49 (Show Source): You can put this solution on YOUR website!solve the following using the substitution method and the elimination method. : 4x+3y=48 3x+2y=34 : Use the 2nd equation for substitution 3x + 2y = 34 2y = -3x + 34 Divide both sides by 2 y = x + y = -1.5x + 17 : Substitute (-1.5x+17) for y in the 1st equation 4x + 3(-1.5x + 17) = 48 4x - 4.5x + 51 = 48 4x - 4.5y = 48 - 51 -.5x = -3 x has to be positive, multiply both sides by -1 .5x = 3 x = x = 6 find y using y = -1.5x+17 y = -1.5(6) + 17 y = -9 + 17 y = +8 Check solutions in the 2nd equation; 3x+2y=34 3(6) + 2(8) = 34 18 + 16 = 34 34 = 34; confirms our solutions : : By elimination 4x+3y=48 3x+2y=34 Multiply the 1st equation by 2, and the 2nd equation by 3 8x + 6y = 96 9x + 6y = 102 ------------------subtraction eliminates y, find x -1x = -6 x = 6; mult by -1 : You can find y using either equation, replacing x with 6
 Numbers_Word_Problems/346853: Clue 1 each digit increases by one. Example 45,678. Clue 2 if you add all six numbers, the answer is 20 . What is the five-digit number?1 solutions Answer 248061 by ankor@dixie-net.com(15746)   on 2010-09-22 20:22:15 (Show Source): You can put this solution on YOUR website!Clue 1 each digit increases by one. Example 45,678. Clue 2 if you add all six numbers, the answer is 20 . : let x = the lowest number then: (x+1), (x+2), (x+3), (x+4) are next 4 number : They add up to 20 x + (x+1), (x+2), (x+3), (x+4) = 20 5x + 10 = 20 5x = 20 - 10 x = x = 2 is the lowest number ; The 5 digit number, 23456 (you couldn't do this with a 6 digit number)
 Numbers_Word_Problems/346823: The sum of three consecutive integers is 279 Find the integers. Set up an equation to describe each situation. Don't forget to tell what variable expressions you are using to represent each of the unkwons. Then solve the problem. Please help me out?1 solutions Answer 248053 by ankor@dixie-net.com(15746)   on 2010-09-22 20:10:54 (Show Source): You can put this solution on YOUR website!The sum of three consecutive integers is 279 Find the integers. Set up an equation to describe each situation. : The three consecutive integers: x, (x+1), (x+2) : Their sum is 279, therefore: x + (x+1) + (x+2) = 279 Combine like terms x + x + x + 1 + 2 = 279 3x + 3 = 279 3x = 279 - 3 3x = 276 x = x = 92 : The integers, 92,93,94, add them up and see if this is right
 Travel_Word_Problems/346904: If Andy bikes at a steady rate of 15 miles per hour, how many miles will he bike in four minutes? Ive recently tried to do 15 divided by 60 = 25, and I didn't know what to do after this. Thank you for reading this question, it is appreaciated.1 solutions Answer 248051 by ankor@dixie-net.com(15746)   on 2010-09-22 20:04:36 (Show Source): You can put this solution on YOUR website!If Andy bikes at a steady rate of 15 miles per hour, how many miles will he bike in four minutes? : Find how many miles in 1 min: = .25 miles (which is what I think you meant) : Find how many miles in 4 minutes: 4 * .25 = 1 mi in 4 minutes
 Evaluation_Word_Problems/346695: Wendy, a landscaper, who just completed a rectangular flower garden measuring 25 feet by 15 feet, orders 3 cubic yards of pre-mixed cement, all of which is to be used to create a border of uniform width around the garden. If the border is to have a depth of 3 inches, how wide will the border be? 1 solutions Answer 248048 by ankor@dixie-net.com(15746)   on 2010-09-22 19:59:19 (Show Source): You can put this solution on YOUR website! a rectangular flower garden measuring 25 feet by 15 feet, orders 3 cubic yards of pre-mixed cement, all of which is to be used to create a border of uniform width around the garden. If the border is to have a depth of 3 inches, how wide will the border be? : Find the area of the garden 25 * 15 = 375 sq/ft : Find the area of the border by dividing 3 cu/yds by 3 inches Change 3 cu/yds to cu/ft: 3 * 27 = 81 cu/ft Change 3 inches to .25 ft = 324 sq/ft is the area of the border : The total area of the garden and the border 375 + 324 = 699 sq/ft : Let x = the width of the border : The equation for the total area (2x+25)*(2x+15) = 699 FOIL 4x^2 + 30x + 50x + 375 = 699 4x^2 + 80x + 375 - 699 = 0 4x^2 + 80x - 324 = 0 Use the quadratic formula to find x In this equation; a=4; b=80; c=-324 : : : The positive solution only wanted here x = x = 3.45 ft is the width of the border : : : Check solution, 2x = 6.9 (6.9+25)*(6.9+15) = 699 sq/ft, total area Subtract the area of the garden: 699 - 375 = 324, the area of the border Find the volume of the border (mult by 3" which is .25 ft: 324*.25 = 81 cu/ft Find 81 cu/ft in cu/yds: = 3 cu/yds
 test/346746: If ellen and sue leave school for the library at 3pm. Ellen is going 12 miles per hour n sue is going 9 miles an hour. Ellen gets there 15 mins before sue. What time does ellen get there. How far is the library1 solutions Answer 247938 by ankor@dixie-net.com(15746)   on 2010-09-22 16:23:32 (Show Source): You can put this solution on YOUR website!If ellen and sue leave school for the library at 3pm. Ellen is going 12 miles per hour n sue is going 9 miles an hour. Ellen gets there 15 mins before sue. What time does ellen get there. How far is the library : Change 15 min to .25 hr : Let d = distance to the library : Write a time equation; time = dist/speed : Sue's time - Ellen's time = 15 min - = .25 Multiply both sides by 36, results: 4d - 3d = .25(36) d = 9 mi is the distance to the library : Find Ellen's time to get to the library = hr which is 45 min 3:00 + :45 = 3:45 time when Ellen get's there
 Numbers_Word_Problems/346499: if the sum of a number and five is tripled, the result is one less than twice the number. find the number????? how do you solve this and write it down 1 solutions Answer 247922 by ankor@dixie-net.com(15746)   on 2010-09-22 15:58:06 (Show Source): You can put this solution on YOUR website!if the sum of a number and five is tripled, the result is one less than twice the number. find the number? : x = "a number" : Just write an expression for each phrase: : "sum of a number & 5 is tripled", 3(x+5) : "the result" = : "1 less than twice the number" 2x - 1 : Put is all together to form an equation and solve it: 3(x+5) = 2x - 1 : 3x + 15 = 2x - 1 : 3x - 2x = -1 - 15 : x = -16 : : Now in the original statement see if that is true "the sum of a number and five is tripled, the result is one less than twice the number" 3(-16+5) = 2(-16) - 1 3(-11) = -32 - 1 -33 = -33; equality confirms our solution of x = -16 : : did this shed some light on this for you?
 Travel_Word_Problems/346616: A long distance runner starts at the beginning of a trail and runs at a rate of 6 miles per hour. An hour and a half later, a cyclist starts at the beginning of the trail and travels at a rate of 12 miles per hour. What is the amount of time that the cyclist travels before overtaking the runner?1 solutions Answer 247895 by ankor@dixie-net.com(15746)   on 2010-09-22 14:37:54 (Show Source): You can put this solution on YOUR website!A long distance runner starts at the beginning of a trail and runs at a rate of 6 miles per hour. An hour and a half later, a cyclist starts at the beginning of the trail and travels at a rate of 12 miles per hour. What is the amount of time that the cyclist travels before overtaking the runner? : Let t = travel time of the cyclist then (t+1.5) = travel time of the runner (he start 1.5 hr before the cyclist) : When the cyclist overtakes the runner, they will have traveled the same distance Write a distance equation: dist = speed * time : Cyclist dist = runner's dist 12t = 6(t+1.5) 12t = 6t + 9 12t - 6t = 9 3t = 9 t = t = 3 hrs for the cyclist to catch the runner : : We can confirm this solution by finding the actual distance each traveled; (they should be equal) 12*3 = 27 mi 6(3+1.5) = 27 mi also
 Rectangles/346560: Set up an equation and solve the problem. Suppose that the width of a certain rectangle is 6 inches less than its length. The area is numerically 16 less than twice the perimeter. Find the length and width of the rectangle. 1 solutions Answer 247884 by ankor@dixie-net.com(15746)   on 2010-09-22 13:50:57 (Show Source): You can put this solution on YOUR website!Set up an equation and solve the problem. Suppose that the width of a certain rectangle is 6 inches less than its length. The area is numerically 16 less than twice the perimeter. Find the length and width of the rectangle. : Let x = the width then (x+6) = the length And the area A = x(x+6) A = x^2 + 6x and the perimeter P = 2(x+6) + 2x P = 2x + 12 + 2x P = 4x + 12 : "The area is numerically 16 less than twice the perimeter." x^2 + 6x = 2(4x + 12) - 16 x^2 + 6x = 8x + 24 - 16 x^2 + 6x = 8x + 8 Arrange as a quadratic equation on the left: x^2 + 6x - 8x - 8 = 0 x^2 - 2x - 8 = 0 Factors to (x-4)(x+2) = 0 Positive solution is what we want here x = 4 inches is the width then 4 + 6 = 10 inches is the length : : Check solution Find the perimeter 2(10) + 2(4) = 28 in Find the area 10*4 = 40 sq/in : Check in the statement: "The area is numerically 16 less than twice the perimeter." 40 = 2(28) - 16 40 = 56 - 16; confirms our solution of x = 4
 Linear_Equations_And_Systems_Word_Problems/346579: . A man left A at 6:00 a.m. expecting to reach B at 9:00 a.m. But after walking one hour, he was delayed for half an hour and so he had to increase his rate by 1 mile per hour to reach B at 9:00 a.m. Find his speed before the delay and the distance between A and B. thanks..1 solutions Answer 247878 by ankor@dixie-net.com(15746)   on 2010-09-22 13:31:51 (Show Source): You can put this solution on YOUR website!A man left A at 6:00 a.m. expecting to reach B at 9:00 a.m. But after walking one hour, he was delayed for half an hour and so he had to increase his rate by 1 mile per hour to reach B at 9:00 a.m. Find his speed before the delay and the distance between A and B. : Let d = distance from A to B Given that he left at 6, and expected to be there at 9, therefore: = original speed : He walked for 1 hr, then stopped for .5 hrs, therefore he continued at a speed of ( + 1) for 1.5 hrs : dist = speed * time total dist = slow speed dist + faster speed dist d = + d = + d = multiply both sides by 3 3d = 2.5d + 3(1.5) 3d - 2.5d = 4.5 .5d = 4.5 d = d = 9 miles from A to B : Find the original speed: = 3 mph : : Confirm this by finding the distance at each speed 1 * 3 = 3 miles 1.5 * 4 = 6 mile ---------------- total dist: 9 mi
 Equations/346597: how would i translate into mathematical expression ...8 more than 14 and a given number z is 37 ...thank you 1 solutions Answer 247869 by ankor@dixie-net.com(15746)   on 2010-09-22 13:00:58 (Show Source): You can put this solution on YOUR website!how would i translate into mathematical expression ... 8 more than 14 and a given number z is 37 ...thank you : just write what it says: 8 + 14 + z = 37
 Numbers_Word_Problems/346464: One positive number is one-fifth of another number. The difference between the two numbers is 316, find the numbers. 1 solutions Answer 247866 by ankor@dixie-net.com(15746)   on 2010-09-22 12:51:49 (Show Source): You can put this solution on YOUR website!One positive number is one-fifth of another number. The difference between the two numbers is 316, find the numbers. : Let n = one number then 5n = another number : 5n - n = 316 4n = 316 n = n = 79, then the other number: 5(79) = 395 : : Check 395 - 79 = 316
 Linear_Equations_And_Systems_Word_Problems/346361: Please help me with my homework. I am not quite sure on what approach or formula do i need to use for these problems. I am confused. Thanks for all that you do.. 1. Basketball teamlost 40% of its first 40 games. how many of its remaining 20 games must it win to raise its winning percentage to 65%? 2. The sum of 3 numbers is 94, if the first number is 3/5 of the second number and the second number is 4/3 of the third. What are the three numbers? 3. In one bag of chicken feeds, there are 24 chickens eating it in 45 days. In how many days do 15 chickens consume the feeds? 1 solutions Answer 247726 by ankor@dixie-net.com(15746)   on 2010-09-21 21:22:26 (Show Source): You can put this solution on YOUR website!1. Basketball team lost 40% of its first 40 games. how many of its remaining 20 games must it win to raise its winning percentage to 65%? : Let x = no. of remaining games that need to be won for a winning percent of 65 : Find how many game already lost: .4(40) 16 games lost then 40 - 16 = 24 games won so far : Total games played 40 + 20 = 60 ; Games won/total games: = .65 multiply both sides for 60 x + 24 = 60 * .65 x + 24 = 39 x = 39 - 24 x = 15 games of the remaining games need to be won : Check the percentage, 24 + 15 = 39 total games won = .65 *100 = 65% : : 2. Write an equation for each statement; The sum of 3 numbers is 94, x + y + z = 94 : the first number is 3/5 of the second number x = y : the second number is 4/3 of the third. y = z We want z to be in terms of y also Mult both sides by 3 4z = 3y divide both sides by 4 z = y : Go back to the 1st equation: x + y + z = 94 Replace x and z y + y + y = 94 Get rid of those annoying denominators, multiply each term by 20, results 4(3)y + 20y + 5(3)y = 20(94) 12y + 20y + 15y = 1880 47y = 1880 y = y = 40 Find x x = *40 x = 24 Find z z = *40 z = 30 : See if this is true: 24 + 40 + 30 = 94, so it's ok : What are the three numbers? 24, 40, 30 : ; 3. In one bag of chicken feeds, there are 24 chickens eating it in 45 days. In how many days do 15 chickens consume the feeds? : Let's coin a term called "chicken-days" It takes: 24 * 45 = 1080 chicken-days to consume 1 bag of feed : Let d = no. of days required by 15 chickens, a simple equation 15d = 1080 d = d = 72 days for 15 chickens to consume a bag : : I hope this has unconfused you. Could you follow the reasoning on these. Any questions? let me know in the comment.
 Volume/346274: a cylindrical chemical storage tank must have a height 4 meters greater than the radius of the top of the tank. Determine the radius of the top and the height of the tank if the tank must have a volume of 15.71 cubic meters.1 solutions Answer 247672 by ankor@dixie-net.com(15746)   on 2010-09-21 19:31:46 (Show Source): You can put this solution on YOUR website!a cylindrical chemical storage tank must have a height 4 meters greater than the radius of the top of the tank. Determine the radius of the top and the height of the tank if the tank must have a volume of 15.71 cubic meters. : Let r = the radius of the tank It says,"must have a height 4 meters greater than the radius." therefore (r+4) = the height of the tank : Volume of a cylinder: V = Therefore = 15.71 divide both sides by pi, results r^2(r+4) = r^3 + 4r^2 = 5 r^3 + 4r^2 - 5 = 0 just from looking at this you know that r=1, then the height = 5 : : Check this V = v = 15.707 ~15.71
 Miscellaneous_Word_Problems/346019: It is desired to draw a triangle so that the first angle is 5/4 of the second but is greater than the third by 40. What should be the magnitudes of the angles of the triangle? thank you!1 solutions Answer 247640 by ankor@dixie-net.com(15746)   on 2010-09-21 17:02:17 (Show Source): You can put this solution on YOUR website!Let x = the 1st angle, let y = the 2nd angle, let z = the 3rd angle : Write an equation for each phrase ; " draw a triangle so that the first angle is 5/4 of the second" x = y Multiply both sides by 4 4x = 5y divide both sides by 5 x = y or we can just write it: y = .8x : "but is greater than the third by 40." z = x - 40 ; x + y + z = 180 Replace y with .8x; replace z with (x-40) x + .8x + x - 40 = 180 2.8x = 180 + 40 x = x = 78.57 degrees is the 1st angle and .8(78.57) = 62.65 degrees is the 2nd angle and 78.57-40 = 38.57 degrees is the 3rd angle : : Check solution 78.57 + 62.65 + 38.57 = 179.79 ~ 180
 Linear_Equations_And_Systems_Word_Problems/346028: A marksman fires at a target 420 meters away and hears the bullet strike 2 seconds after he pulled the trigger. An observer 525 meters away from the target and 455 meters from the marks man hears the bullet strike the target 1 second after he hears the report of the rifle. Find the velocity of the bullet and the velocity of the sound. 1 solutions Answer 247593 by ankor@dixie-net.com(15746)   on 2010-09-21 15:52:24 (Show Source): You can put this solution on YOUR website!A marksman fires at a target 420 meters away and hears the bullet strike 2 seconds after he pulled the trigger. An observer 525 meters away from the target and 455 meters from the marksman hears the bullet strike the target 1 second after he hears the report of the rifle. Find the velocity of the bullet and the velocity of the sound. : Let s = speed of sound Let v = velocity of the bullet : The Marksman equation + = 2 sec : The observer equation (bullet is traveling while rifle report is traveling) + - = 1 : + = 1 : Use elimination here + = 2 + = 1 --------------------------------subtraction eliminates v, find s = 1 s = 350 m/sec is the speed of sound : Find v + = 1 + = 1 Multiply by 5v v + 5(420) = 5v 2100 = 5v - v 2100 = 4v v = v = 525 m/sec is the bullet velocity : : Confirm these values in the Marksman equation + = .8 + 1.2 = 2 sec
 Linear_Equations_And_Systems_Word_Problems/346023: It takes 12 seconds for two trains to pass one another when moving in opposite directions. If they are in the same direction, it will take the faster train 3 minutes to pass the slower one. If the trains are 130 meters and 120 meters long, respectively, what are the rates of the two trains?1 solutions Answer 247555 by ankor@dixie-net.com(15746)   on 2010-09-21 14:08:03 (Show Source): You can put this solution on YOUR website!It takes 12 seconds for two trains to pass one another when moving in opposite directions. If they are in the same direction, it will take the faster train 3 minutes to pass the slower one. If the trains are 130 meters and 120 meters long, respectively, what are the rates of the two trains? : Let a = speed of the faster train let b = speed of the slower : Trains meeting each other The sum of the speed of the two trains (in meters/sec) speed = dist/time a + b = a + b = 20.83 m/sec is the sum of their speeds : Trains going in the same direction (change 3 min to 180 sec a - b = a - b = 1.39 m/sec is the difference of their speed : Use elimination a + b = 20.83 a - b = 1.39 ----------------adding eliminates b, find a 2a = 22.22 a = a = 11.11 m/sec is the speed of train a In km/hr: ~ 40 km/hr : then using the sum equation find b 11.11 + b = 20.83 b = 20.83 - 11.11 b = 9.72 m/sec is the speed of train b In km/hr ~ 35 km/hr
 Quadratic_Equations/345797: A long rectangular sheet of metal 10 in. wide is to be made into a gutter by turning up sides of equal length perpendicular to the sheet. Find the length that must be turned up to produce a gutter with a maximum cross-sectional area.1 solutions Answer 247339 by ankor@dixie-net.com(15746)   on 2010-09-20 22:03:49 (Show Source): You can put this solution on YOUR website!A long rectangular sheet of metal 10 in. wide is to be made into a gutter by turning up sides of equal length perpendicular to the sheet. Find the length that must be turned up to produce a gutter with a maximum cross-sectional area. : Let x = the depth of the gutter Let y = the width of the gutter : This may illustrate an end view of the gutter: L|_w_|L then 2L + w = 10 in; the width of the sheets of aluminum w = (10-2L); use this form for substitution and L * w = A; the cross sectional area of the end of the gutter : Using the area equation replace w with (10-2L) : A = L*(10-2L) A = -2L^2 + 10L a quadratic equation, max area occurs at the axis of symmetry, x = -b/(2a) in this problem x = L; b = 10; a =-2 L = L = L = +2.5 inches turned up to create max area : : w = 10 -(2.5) w = 5 inches is the width : Max area would be; 2.5 * 5 = 12.5 sq/inches
 Complex_Numbers/345612: Solve the equations: first: x+3y=5 second: 3x-y=5 Please show work. Thank you so much for all of your help!!!!1 solutions Answer 247335 by ankor@dixie-net.com(15746)   on 2010-09-20 21:39:02 (Show Source): You can put this solution on YOUR website!Solve the equations: first: x+3y=5 second: 3x-y=5 : We are going to use elimination here, multiply 2nd equation by 3, add to the first x + 3y = 5 9x -3y = 15 ----------------adding eliminates y, find x 10x = 20 x = x = 2 : Find y using the 1st equation; replace x with 2 2 + 3y = 5 3y = 5 - 2 3y = 3 y = 1 ; : Check solution in the 2nd equation replace x & y with 2 and 1 3(2) - 1 = 5; confirms our solution : Did you understand what we did here?
 Travel_Word_Problems/345536: Jordan can run 200 meters in the time it takes Bill to run 190 m. If they run at the same pace, and Jordan starts 10 m behind the start line, Who will win? How far back does Jordan need to start so Bill will win?1 solutions Answer 247297 by ankor@dixie-net.com(15746)   on 2010-09-20 19:27:19 (Show Source): You can put this solution on YOUR website!Jordan can run 200 meters in the time it takes Bill to run 190 m. If they run at the same pace, and Jordan starts 10 m behind the start line, Who will win? Just for convenience assume; it takes 20 seconds for J to run 200 m it takes 20 seconds for B to run 190 m then; speed = dist/time = 10 m/sec is J's speed and = 9.5 m/sec is B's speed : J will cover 210 m in = 21 sec B will cover 200 m in = 21.05 sec, J wins by an eyelash : How far back does Jordan need to start so Bill will win? Let x = how far back for B to win = 21.10 sec (B wins by .05 sec) 200 + x = 211; multiplied both sides by 10 x = 211 - 200 x = 11 m behind and B will win by an eyelash
 Percentage-and-ratio-word-problems/345447: In a company printing work is done by two machine 5% of the work done by machine A are wasted , and 40% of work done by machine B are wasted. if the 80% of the total work is done by machine A. then what is the total percentage of wastage.1 solutions Answer 247295 by ankor@dixie-net.com(15746)   on 2010-09-20 18:51:10 (Show Source): You can put this solution on YOUR website!In a company printing work is done by two machine 5% of the work done by machine A are wasted , and 40% of work done by machine B are wasted. if the 80% of the total work is done by machine A. then what is the total percentage of wastage. : Let 1 = total amt done by both machines Machine A does 80% Machine B does 20% : Using decimals Machine A wastes .05(.8) = .04 of total wasted Machine B wastes .40(.2) = .08 of total wasted --------------------------------- total from both machines: .12 * 100 = 12% wasted
 Matrices-and-determiminant/345680: Need help with systems of equations using matrices. Don't know how to set up this problem. A change machine contains nickels, dimes, and quarters. There are 75 coins in the machine and the value of the coins is \$7.25. If there are 5 times as many nickels as dimes, find the number of coins of each type in the machine. Need by 9pm tonight (if possible). Thank you for your time.1 solutions Answer 247285 by ankor@dixie-net.com(15746)   on 2010-09-20 18:39:49 (Show Source): You can put this solution on YOUR website!A change machine contains nickels, dimes, and quarters. There are 75 coins in the machine and the value of the coins is \$7.25. If there are 5 times as many nickels as dimes, find the number of coins of each type in the machine. ; Write an equation for each statement: : "There are 75 coins in the machine" n + d + q = 75 : "the value of the coins is \$7.25." .05 + .10d + .25q = 7.25 : "there are 5 times as many nickels as dimes" n = 5d Arrange in the same form n - 5d = 0 : Using the coefficients of these 3 equations, write a matrix (in the 3rd equation q=0 : 1, 1, 1, 75 .05, .10, .25, 7.25 1 - 5, 0, 0 : Solve this 3 by 4 matrix using your favorite method : My favorite is the matrix feature on the Ti83, I got n = 50 d = 10 q = 15
 Problems-with-consecutive-odd-even-integers/345661: A woodcarver made a model of a chair. The equation 0.08h=3 can be used to find the actual height h of the chair in inches. What was the actual height of the chair? A. 0.24 in. B. 3.75 in. C. 24 in. D. 37.5 in. I thought it was letter D. 37.5 in, but I wasn't sure am I correct?1 solutions Answer 247278 by ankor@dixie-net.com(15746)   on 2010-09-20 18:18:44 (Show Source): You can put this solution on YOUR website!A woodcarver made a model of a chair. The equation 0.08h=3 can be used to find the actual height h of the chair in inches. What was the actual height of the chair? : You can check your selection easily, just substitute 37.5 for h and see if equality prevails : .08(37.5) = 3 3 = 3, so you're right
 Linear_Equations_And_Systems_Word_Problems/345476: A and B run at constant velocities along a circular track. The circumference of the track is 1320 meters. If they run in opposite directions, they meet every 2 minutes; if they run in the same direction, they are together every 22 minutes. Find their velocities.1 solutions Answer 247247 by ankor@dixie-net.com(15746)   on 2010-09-20 17:26:37 (Show Source): You can put this solution on YOUR website!A and B run at constant velocities along a circular track. The circumference of the track is 1320 meters. If they run in opposite directions, they meet every 2 minutes; if they run in the same direction, they are together every 22 minutes. Find their velocities. : Find the sum of their velocities, when they meet, they will have traveled a total of 1320 meters in two minutes Speed = dist/time (V1 + V2) = V1 + V2 = 660 m/min : When they travel the same directions V1 - V2 = V1 - V2 = 60 m/min : Use elimination V1 + V2 = 660 V1 - V2 = 60 -----------------addition eliminates V2 2V1 = 720 V1 = V1 = 360 m/sec and V2 = 660 - 360 V2 = 300 m/sec : : We can confirm this using the same direction scenario Faster runner travels 22 * 360 = 7920 meters Slower runner travels 22 * 300 = 6600 meters ---------------------------------------------- difference is exactly 1 lap or 1320 meters
 Miscellaneous_Word_Problems/345473: In a years, A will be n times as old as B then; and b years ago, A was m times as old as B. Find their ages at present.1 solutions Answer 247204 by ankor@dixie-net.com(15746)   on 2010-09-20 14:45:23 (Show Source): You can put this solution on YOUR website!Let A = A's present age Let B = B's present age ; In a years, A will be n times as old as B then; A + a = n(B + a) A + a = nB + na A = nB + na - a; is A's present age and b years ago, A was m times as old as B. A - b = m(B - b) Find B m(B - b) = A - b B - b = B = + b; is B's present age :
 Travel_Word_Problems/345356: Chuck and Dana agree to meet in Chicago for the weekend. Chuck travel 124 miles in the time it takes Dana to travel 108 miles. If Chucks rate is 4mph more than Danas, and they travel the same length in time, what is chucks speed. 2)Airplane flies from Metro to Gotham with a tailwind that increases is 90mph and on the way back decreases the speed 90 mph. with wind on their back it takes 2.05 hours compared to with wind in face 3.46 hours. Whats the distance between the two cities? Thank you if you get to this. These stump me like crazy!1 solutions Answer 247200 by ankor@dixie-net.com(15746)   on 2010-09-20 14:33:38 (Show Source): You can put this solution on YOUR website! Chuck travel 124 miles in the time it takes Dana to travel 108 miles. If Chucks rate is 4mph more than Danas, and they travel the same length in time, what is chucks speed. : Let s = Chuck's speed then (s-4) = Dana's speed ; The times are equal, write a time equation: time = dist/speed = Cross multiply 124(s-4) = 108s 124s - 496 = 108s 124s - 108s = +496 16s = 496 s = s = 31 mph is Chuck's speed : : Check solution by finding the times, they should be equal (27 mph is D.s speed) 124/31 = 4 hrs 108/27 = 4 hrs also, confirms our solution of x = 31 : : 2)Airplane flies from Metro to Gotham with a tailwind that increases is 90mph and on the way back decreases the speed 90 mph. with wind on their back it takes 2.05 hours compared to with wind in face 3.46 hours. What's the distance between the two cities? : Find the airspeed with out the wind Let s = speed in still air then (s+90) = effective speed with the wind and (s-90) = effective speed against the wind : The distances are the same each way, write a distance equation; d = speed * time 3.46(s-90) = 2.05(s+90) 3.46s - 311.4 = 2.05s + 184.5 3.46s - 2.05s = 184.5 + 311.4 1.41s = 495.9 s = s = 351.7 mph air speed : Find the dist 3.46(351.7-90) = 905.5 miles between the two cities : Confirm this on the return trip 2.05(351.7+90) = 905.5 miles also
 Mixture_Word_Problems/345335: How do you solve the following word problem? You need to mix 6% peroxide solution with 9% peroxide solution to obtain 36 ounces of an 8% peroxide solution. How many ounces of each solution is needed?1 solutions Answer 247185 by ankor@dixie-net.com(15746)   on 2010-09-20 13:59:48 (Show Source): You can put this solution on YOUR website!You need to mix 6% peroxide solution with 9% peroxide solution to obtain 36 ounces of an 8% peroxide solution. How many ounces of each solution is needed? : Let x = amt of 9% solution then (36-x) = amt of 6% solution : The equation .09x + .06(36-x) = .08(36) : Find x,