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 Travel_Word_Problems/564822: Sarah takes 40 minutes to walk to her office and only 12 min if she rides her bike. Her speed when walking is 7 miles per hour less than her speed when riding her bike. (assume she takes the same path to her office). What is the distance to her office.1 solutions Answer 365709 by ankor@dixie-net.com(15622)   on 2012-01-30 21:20:13 (Show Source): You can put this solution on YOUR website!Sarah takes 40 minutes to walk to her office and only 12 min if she rides her bike. Her speed when walking is 7 miles per hour less than her speed when riding her bike. (assume she takes the same path to her office). What is the distance to her office. : Let s = his walking speed then (s+7) = his biking speed : Write a distance equation; dist = speed * time We need the time in hrs : s = (s+7) Reduce the fractions s = (s+7) Multiply by 15 to clear the denominators 5(2s) = 3(s+7) 10s = 3s + 21 10s - 3s = 21 7s = 21 s = 21/7 s = 3 mph is his walking speed : Find the distance (3) = 2 miles Check the distance (3+7) = 2 miles also
 Age_Word_Problems/564797: Last year,tom was thrice as old as his sister.next year,he will be twice as old as his sister.what will be tom's age when his sister is 12 years old?1 solutions Answer 365632 by ankor@dixie-net.com(15622)   on 2012-01-30 19:08:00 (Show Source): You can put this solution on YOUR website!Let t = Tom's present age Let s = Sister's present age : Last year,tom was thrice as old as his sister. t-1 = 3(s-1) t-1 = 3s - 3 t = 3s - 3 + 1 t = 3s - 2 : next year,he will be twice as old as his sister. t + 1 = 2(s+1) t + 1 = 2s + 2 t = 2s + 2 - 1 t = 2s + 1 replace t with (3s-2) 3s - 2 = 2s + 1 3s - 2s = 1 + 2 s = 3 yrs is sisters age then t = 3(3) - 2 t = 7 yrs is Tom's age : what will be tom's age when his sister is 12 years old? Sister will be 12 in 9 years therefore 7 + 9 = 16 yrs will be Tom's age
 Linear-systems/565025: I have no clue how to solve Systems of Equations!!!??? HELP EX: y=3x+6 y=x+2 Any Suggetions??1 solutions Answer 365597 by ankor@dixie-net.com(15622)   on 2012-01-30 18:25:04 (Show Source): You can put this solution on YOUR website!y = 3x + 6 y = x + 2 this one is easy to solve using substitution we know that y = y, therefore we can write it: 3x + 6 = x + 2 3x - x = 2 - 6 2x = -4 x = -4/2 x = -2 : Find y y = 3x + 6 replace x with 2 y = 3(-2) + 6 y = -6 + 6 y = 0 : Check solutions in the 2nd equation y = x + 2 Replace x and y and see if it is equal 0 = -2 + 2
 Equations/564750: The difference between the two numbers is equal to the double of the smaller number. If the quotient dividing one by the other is 3, find the numbers.1 solutions Answer 365588 by ankor@dixie-net.com(15622)   on 2012-01-30 17:55:08 (Show Source): You can put this solution on YOUR website!Two numbers, a & B : "The difference between the two numbers is equal to the double of the smaller number." a - b = 2b a = 2b + b a = 3b : "If the quotient dividing one by the other is 3," = 3 : find the numbers. Replace a with 3b = 3 : All we can say about this a = 3 times b, Any numbers with this relationship will work
 Money_Word_Problems/564881: Equal amounts are invested at 6%, 7%, and 9% annual interest. If the three investments yield a total of \$814 annual interest, find the total investment. 1 solutions Answer 365565 by ankor@dixie-net.com(15622)   on 2012-01-30 16:53:51 (Show Source): You can put this solution on YOUR website!Equal amounts are invested at 6%, 7%, and 9% annual interest. If the three investments yield a total of \$814 annual interest, find the total investment. : Let x = amt invested at each interest ; .06x + .07x + .09x = 814 .22x = 814 x = x = \$3700 invested at each therefore 3(3700) = \$11,100 is the total
 Numbers_Word_Problems/564816: When 1 is subtracted from three fourths of a number, the result is equal to one half of a number? What is the number?1 solutions Answer 365561 by ankor@dixie-net.com(15622)   on 2012-01-30 16:48:29 (Show Source): You can put this solution on YOUR website!When 1 is subtracted from three fourths of a number, the result is equal to one half of a number? What is the number? .75x - 1 = .5x .75x - .5x = +1 .25x = 1 Multiply both sides by 4 x = 4
 Inequalities/564837: Please help me with this: Solve using the addition and multiplication principles. 34>4-6x1 solutions Answer 365558 by ankor@dixie-net.com(15622)   on 2012-01-30 16:37:14 (Show Source): You can put this solution on YOUR website!34 > 4 - 6x Add 6x to both sides 6x + 34 > 4 Subtract 34 from both sides 6x > 4 - 34 6x > -30 divide both sides by 6 x > x > -5 : Check solution x > -5, let's say x = -4 34 > 4 - 6(-4) 34 > 4 + 24 34 > 28; which is true : However if you try it with x = -6, it will not be true as you would expect
 Exponents/564981: I am trying to solve this Problem. Please help. thank you. The flow of water F in cubic feet per second over a wier, a small overflow dam, can be represented by F=1.26H2/3, where H is the height of the water in meters above the crest of the wier. Find the height of the water if the flow of the water is 10.08 cubic feet per second.1 solutions Answer 365554 by ankor@dixie-net.com(15622)   on 2012-01-30 16:25:59 (Show Source): You can put this solution on YOUR website!The flow of water F in cubic feet per second over a wier, a small overflow dam, can be represented by F=1.26H2/3, where H is the height of the water in meters above the crest of the wier. Find the height of the water if the flow of the water is 10.08 cubic feet per second : 1.26H* = 10.8 multiply both sides by 3 1.26H(2) = 10.8*3 2.52H = 32.4 H = H = 12.857 ~ 13 meters
 Mixture_Word_Problems/564693: a mixture of acid and water is 35% acid. if the mixture contains a total of 50 liters, how many liters of pure acid are in the mixture? how many liters of pure water are in the mixture?1 solutions Answer 365549 by ankor@dixie-net.com(15622)   on 2012-01-30 16:10:19 (Show Source): You can put this solution on YOUR website!a mixture of acid and water is 35% acid. if the mixture contains a total of 50 liters, how many liters of pure acid are in the mixture? : .35*50 = 17.5 liters of acid : how many liters of pure water are in the mixture? : 50 - 17.5 = 32.5 liters of water
 Travel_Word_Problems/564711: you drive to the beach at a rate of 120 kilometers per hour. On the return trip you drive at a rate of 60 kilometers per hour. What is your average speed for the entire trip?1 solutions Answer 365542 by ankor@dixie-net.com(15622)   on 2012-01-30 15:56:40 (Show Source): You can put this solution on YOUR website!you drive to the beach at a rate of 120 kilometers per hour. On the return trip you drive at a rate of 60 kilometers per hour. What is your average speed for the entire trip? : Let a = the average speed for the whole trip let d = the one-way distance of the trip : Write time equation, time = dist/speed : To time + return time = total time + = Multiply by 120a 120a* + 120a* = 120a* cancel the denominators ad + 2ad = 120(2d) 3ad = 240d Divide both sides by d 3a = 240 a = 240/3 a = 80 km/hr is the av speed for the round trip
 Geometry_Word_Problems/564823: the measure of one of the angles of a triangle is 35. The sum of the measures of the other two angles is 145 and the difference between their measures is 15. What are the measures of the unknown angles?1 solutions Answer 365538 by ankor@dixie-net.com(15622)   on 2012-01-30 15:46:34 (Show Source): You can put this solution on YOUR website!the measure of one of the angles of a triangle is 35. The sum of the measures of the other two angles is 145 and the difference between their measures is 15. What are the measures of the unknown angles? : Three angles, A, B, C : A = 35 B + C = 145 B - C = 15 ------------adding eliminates c, find B 2B = 160 B = 160/2 B = 80 degrees Find C B + C = 145 80 + C = 145 C = 145 - 80 B = 65 degrees ; : Check this; 35 + 80 + 65 = 180; which is what every triangle should have
 Travel_Word_Problems/564682: A boat in distress, 21 nautical miles from a marina, travels toward the marina at 3 knots (nautical miles per hour). A coast guard cruiser leaves the marina and travels toward the boat at 25 knots. How long will it take for the boats to reach each other?1 solutions Answer 365531 by ankor@dixie-net.com(15622)   on 2012-01-30 15:32:30 (Show Source): You can put this solution on YOUR website!A boat in distress, 21 nautical miles from a marina, travels toward the marina at 3 knots (nautical miles per hour). A coast guard cruiser leaves the marina and travels toward the boat at 25 knots. How long will it take for the boats to reach each other? : Since they are going toward each other the relative speed is; 3 + 25 = 28 knots hence; (dist/speed = time) = hr which is 45 minutes
 Travel_Word_Problems/564882: Tanner Jones and Sheldon Furst received walkie-talkies for Christmas. If they leave from the same point at the same time, Tanner walking north at 2.5 mph and Sheldon walking east at 3 mph, how long will they be able to talk to each other if the range of the walkie-talkies is 4 miles? 1 solutions Answer 365523 by ankor@dixie-net.com(15622)   on 2012-01-30 14:29:56 (Show Source): You can put this solution on YOUR website!Tanner Jones and Sheldon Furst received walkie-talkies for Christmas. If they leave from the same point at the same time, Tanner walking north at 2.5 mph and Sheldon walking east at 3 mph, how long will they be able to talk to each other if the range of the walkie-talkies is 4 miles? : Let t = walking time of the two boys to reach max range : 2.5t = dist walked by T 3t = dist walked S : This scenario forms a right triangle where distance between the boys is the hypotenuse Using pythag: a^2 + b^2 = c^2 : 6.25t^2 + 9t^2 = 16 15.25t^2 = 16 t^2 = t^2 = 1.0492 t = t = 1.0243 hrs walking time for max range of the walkie-talkies Then 2.5 * 1.0243 = 2.56 mi, T's walking dist for max range and 3 * 1.0243 = 3.073 mi, S's walking dist : : Check this on your calc enter results: 3.9996 ~ 4 mi
 Triangles/564633: My daughter has asked my help with her math and it has been a very long time since I have worked this kind of problem (below). Please help me with the proper formula to use in showing her how to work this type of problem. Thank you. ABC is a 30-60-90 triangle with a right angle at B. Use the measure of the side given to find the measure of the indicated side. BC= 20, find AB1 solutions Answer 365496 by ankor@dixie-net.com(15622)   on 2012-01-30 08:26:37 (Show Source): You can put this solution on YOUR website!BC is a 30-60-90 triangle with a right angle at B. Use the measure of the side given to find the measure of the indicated side. BC= 20, find AB : We can use the tangent of 60 degrees to find side AB That is: tan(60) = tan(60) = 1.732 = AB = 1.732 * 20 AB = 34.64
 Travel_Word_Problems/564616: Trains A and B leave the same city at right angles at the same time. Train B travels 5 mph faster than Train A. After 2 hours, they are 50 miles apart. Find the speed of each train.1 solutions Answer 365420 by ankor@dixie-net.com(15622)   on 2012-01-29 22:00:19 (Show Source): You can put this solution on YOUR website!Trains A and B leave the same city at right angles at the same time. Train B travels 5 mph faster than Train A. After 2 hours, they are 50 miles apart. Find the speed of each train. : let s = speed of train A then (s+5) = speed of train B After 2 hrs: train A dist = 2s train B dist = 2(s+5) : We can treat this as a pythag, problem where a^2 + b^2 = c^2 Where a = 2s b = 2(s+5) c = 50 : (2s)^2 + (2(s+5))^2 = 50^2 4s^2 + (2s + 10)^2 = 2500 4s^2 + 4s^2 + 40s + 100 = 250 A quadratic equation 8s^2 + 40s + 100 - 2500 = 0 8s^2 + 40s - 2400 = 0 Simplify divide by 8 s^2 + 5s - 300 = 0 This will factor to (s+20)(s-15) = 0 the positive solution s = 15 mph is Train A and 15 + 5 = 20 mph is train B : : Check this on calc: enter results: 50
 Money_Word_Problems/564639: Marc's retirement fund is worth 5% more now than last year.  If his retirement fund is now worth 2100 dollars, how much was it worth last year?  1 solutions Answer 365408 by ankor@dixie-net.com(15622)   on 2012-01-29 21:32:39 (Show Source): You can put this solution on YOUR website!1.05x = 2100
 Equations/564590: 6k-9=15 Please help me solve this two step equation .1 solutions Answer 365394 by ankor@dixie-net.com(15622)   on 2012-01-29 20:44:56 (Show Source): You can put this solution on YOUR website!6k - 9 = 15 add 9 to both sides 6k = 24 divide both sides by 6 k = 4
 Linear-equations/564609: Please help me understand how to solve this. t+m=2.10 2t+3m=5.151 solutions Answer 365393 by ankor@dixie-net.com(15622)   on 2012-01-29 20:42:54 (Show Source): You can put this solution on YOUR website!t + m = 2.10 2t+3m = 5.15 : We are going use elimination here: multiply the 1st equation by 2 and subtract from the 2nd equation 2t + 3m = 5.15 2t + 2m = 4.20 ---------------subtraction eliminates t, find m 0t + m = .95 m = .95 : Find t using the 1st equation, replace m with .95 t + .95 = 2.10 t = 2.10 - .95 t = 1.15 : : Check our solution of t=1.15 and m=.95 in the 2nd equation 2t + 3m = 5.15 replace t and m 2(1.15) + 3(.95 = 2.30 + 2.85 = 5.15 which is correct ; How about now, do you understand this?
 Surface-area/564557: A round pizza with a diameter of 52 cm is cut into 12 equal sectors. a square pizza, with sides of length 41 cm, is cut into 9 equal squares. Which pizza slice, a sector Or a square, has the greatest area and how much greater is it? Thank you so much for your help and please use step by step if you can!!!(: 1 solutions Answer 365391 by ankor@dixie-net.com(15622)   on 2012-01-29 20:12:59 (Show Source): You can put this solution on YOUR website!A round pizza with a diameter of 52 cm is cut into 12 equal sectors. a square pizza, with sides of length 41 cm, is cut into 9 equal squares. Which pizza slice, a sector Or a square, has the greatest area and how much greater is it? : Find the area of the round pizza. r = 52/2 = 26 cm A = 2123.7 sq/cm Find the the area of each sector = 177 sq/cm for each sector : Find the area of the square pizza = 1681 sq/cm Find the area of each of the 9 equal square = 187 sq/cm for the squares : 187 - 177 = 10 sq/cm more in the square
 Linear-systems/564462: Please solve the following system of linear equations with substitution. 3x-2=y y-2x=-5 1 solutions Answer 365386 by ankor@dixie-net.com(15622)   on 2012-01-29 19:36:05 (Show Source): You can put this solution on YOUR website!3x - 2 = y y - 2x =-5 From the 1st equation we know that y = 3x - 2, therefore we can replace y with (3x-2) in the 2nd equation (3x-2) - 2x = -5 3x - 2x = -5 + 2 x = -3 : Find y y = 3x - 2 we know x=-3 y = 3(-3) - 2 y = -9 - 2 y = -11 : : Check our solutions of x=-3, y=-11 in the 2nd equation y - 2x = -5 replace x with -3, y with -11 -11 - 2(-3) = -5 minus a minus is a plus so we have -11 + 6 = -5; which is true so our solution check out
 Money_Word_Problems/564182: a person walks a certain distance at a rate of 3.8mph, another person takes 2.1hrs longer to walk the same distance at a rate of 3.2mph. What distance did they walk?1 solutions Answer 365295 by ankor@dixie-net.com(15622)   on 2012-01-29 11:15:47 (Show Source): You can put this solution on YOUR website!a person walks a certain distance at a rate of 3.8mph, another person takes 2.1hrs longer to walk the same distance at a rate of 3.2mph. What distance did they walk? : Let t = time for the faster person to walk the distance then (t+2.1) time for the slower person to walk it : Write a distance equation: dist = speed * time they walk the same distance : 3.8t = 3.2(t+2.1) 3.8t = 3.2t + 6.72 3.8t - 3.2t = 6.72 .6t = 6.72 t = 6.72/.6 t = 11.2 hrs ; Find the distance using the faster time 11.2 * 3.8 = 42.56 mi : Check the distance using the slower time 13.3 * 3.2 = 42.56 mi :
 Quadratic_Equations/564173: Hi, I am having a problem forming the equation from a worded problem. I am struggling to understand what the terms mean in this equation and how they worked them out. I understand how to solve and can write quadratic motion equations. I have a good understanding. The problem is: A school concert usually attracts 600 people at a cost of \$10 per person. On avaerage for every \$1 rise in admission price, 50 less people attend the concert. If T is the total amount of takings and n is the number of \$1 increases write a rule for the function which gives T in terms of n. The answer is: T = 6000 + 100n -50n^2 My thinking is that the 6000 represents the miinmum of the independant variable 600 people at \$10 each which totals \$6000. So this is where the parabola will start from the y-axis (i.e at zero). But how did they get the 100n? What does this mean in the context of the problem and why n^2? Why isn't it linear? Like T = 6000 - 50(n) Your help would be appreciated.1 solutions Answer 365281 by ankor@dixie-net.com(15622)   on 2012-01-29 10:21:52 (Show Source): You can put this solution on YOUR website!A school concert usually attracts 600 people at a cost of \$10 per person. On average for every \$1 rise in admission price, 50 less people attend the concert. If T is the total amount of takings and n is the number of \$1 increases write a rule for the function which gives T in terms of n. The equation: Total = no. of people * cost for each ticket Which is T(n) = (600-50n)*(10+n) FOIL T(n) = 6000 + 600n - 500n - 50n^2 The quadratic equation which has max value for some value of n T(n) = -50n^2 + 100n + 6000 : The parabola will look like this Looks like max revenue will occur when n=1, 550 people and \$11 ticket \$6050
 Polynomials-and-rational-expressions/564032: solve the equation...(q+2/3)+(q-4/4)=2 I thought you would start by finding the LCM, which would be 12, but it is confusing me when it comes to the variables being added in. 1 solutions Answer 365227 by ankor@dixie-net.com(15622)   on 2012-01-28 21:04:06 (Show Source): You can put this solution on YOUR website!solve the equation...(q+2/3)+(q-4/4)=2 : + = 2 : Multiply by the Lowest common denominator, 12* + 12* = 12(2) Cancel the denominators and you have 4(q+2) + 3(q-4) = 24 : 4q + 8 + 3q - 12 = 24 7q - 4 = 24 7q = 24 + 4 7q = 28 q = 28/7 q = 4 : : See if that works in the original problem + = 2 + = 2 2 + 0 = 2
 Travel_Word_Problems/563967: In a 5.00km race, one runner runs at a steady 12.0km/h and another runs at 14.0km/h. how fast from the finish line is the slower runner when the faster runner finishes the race?1 solutions Answer 365226 by ankor@dixie-net.com(15622)   on 2012-01-28 20:50:13 (Show Source): You can put this solution on YOUR website!In a 5.00km race, one runner runs at a steady 12.0km/h and another runs at 14.0km/h. how "FAR" from the finish line is the slower runner when the faster runner finishes the race? : Find the time required by the faster runner to run the race : hr to finish the race : Find how far the slower runner travels in 5/14 of an hr at 12 km/h * 12 = 4.2857 km then 5.00 - 4.2857 ~ .7 km from the finish line when the faster runner finishes
 Travel_Word_Problems/563971: A freight train traveling at an average rate of 30 kilometers per hour is followed 2 hours later from the same station by a passenger train traveling at an average rate of 50 kilometers per hour. How many hours after the passenger train leaves will it pass the freight train?1 solutions Answer 365224 by ankor@dixie-net.com(15622)   on 2012-01-28 20:42:06 (Show Source): You can put this solution on YOUR website!A freight train traveling at an average rate of 30 kilometers per hour is followed 2 hours later from the same station by a passenger train traveling at an average rate of 50 kilometers per hour. How many hours after the passenger train leaves will it pass the freight train. : Let t = travel time of the pass train then (t+2) = travel time of the freight : When the pass train catches the freight, they will have traveled the same distance Write a distance equation; dist = speed * time : pass dist = freight dist 50t = 30(t+2) 50t = 30t + 60 50t - 30t = 60 20t = 60 t = 60/20 t = 3 hrs for the pass train to catch freight : : see if that checks out both should travel the same dist 50(3) = 30(3+2) 150 = 150
 Travel_Word_Problems/563802: You jog at a speed of 6 miles per hour for 20 minutes, and you walk at a speed of 4 miles per hour for t minutes. If your combined jogging and walking distance is 3 miles, for how long did you walk? 1 solutions Answer 365222 by ankor@dixie-net.com(15622)   on 2012-01-28 20:30:10 (Show Source): You can put this solution on YOUR website!You jog at a speed of 6 miles per hour for 20 minutes, and you walk at a speed of 4 miles per hour for t minutes. If your combined jogging and walking distance is 3 miles, for how long did you walk? : We are dealing with mph, so we have to put the min over 60 : Write a distance equation; dist = speed * time : Dist at 6mph + dist at 4mph = 3 miles 6* + 4* = 3 Cancel + = 3 mult by 30 to clear the denominators, results 3(20) + 2t = 30(3) 60 + 2t = 90 2t = 90 - 60 2t = 30 t = 15 min at 4 mph
 logarithm/563657: use natural logarithms to solve the equation 7 (3^z) = 19 (15^z) for z (three decimal places)1 solutions Answer 365139 by ankor@dixie-net.com(15622)   on 2012-01-28 09:50:17 (Show Source): You can put this solution on YOUR website!use natural logarithms to solve the equation 7 (3^z) = 19 (15^z) for z (three decimal places) : divide both sides by 7 Divide both sides by 15^z Which is Reduce the fraction using nat logs log equiv of exponents find the ln -1.6094z = .9985 z = z = -.6206 : : Check solution on a calc: enter 7*3^-.62) = 3.54 enter 19*15^-.62 = 3.54; confirms our solution of z = -.6206
 Equations/563506: What is the answer to (showing the work) the quotient of x and 6 equals 8.7. 1 solutions Answer 365060 by ankor@dixie-net.com(15622)   on 2012-01-27 21:42:19 (Show Source): You can put this solution on YOUR website!What is the answer to (showing the work) the quotient of x and 6 equals 8.7. = 8.7 x = 6(8.7) x = 52.2
 �t�e�s�t/563503: Two different schools (A and B) have the same number of pupils. The ratio of the boys in school A and the boys in school B is 2:1 and the ratio of the girls in school A and the girls in school B is 4:5. Find the ratio of the boys in school A to the girls in school A. 1 solutions Answer 365059 by ankor@dixie-net.com(15622)   on 2012-01-27 21:39:12 (Show Source): You can put this solution on YOUR website!Two different schools (A and B) have the same number of pupils. The ratio of the boys in school A and the boys in school B is 2:1 and the ratio of the girls in school A and the girls in school B is 4:5. Find the ratio of the boys in school A to the girls in school A. : Let Ba = no. of boys in class A Let Bb = no. of boys in class B : Let Ga = no. of girls in class A Let Gb = no. of girls in class B : "Two different schools (A and B) have the same number of pupils." Ba + Ga = Bb + Gb : "The ratio of the boys in school A and the boys in school B is 2:1" = cross multiply 2Bb = Ba Bb = .5Ba : "and the ratio of the girls in school A and the girls in school B is 4:5." = cross multiply 4Gb = 5Ga Gb = Ga Gb = 1.25Ga : We know that: Ba + Ga = Bb + Gb replace Bb with .5Ba and Gb with 1.25Ga Ba + Ga = .5Ba + 1.25Ga Ba - .5Ba = 1.25Ga - Ga .5Ba = .25Ga multiply by 4, get rid of the decimals 2Ba = 1Ga = Find the ratio of the boys in school A to the girls in school A. 1:2, Boys to girls in school A
 Linear_Equations_And_Systems_Word_Problems/563573: When a bucket is filled 3/8 of its capacity its weight is 10 kg. If it is filled 3/5 of its capacity its weight is 14.5 kg. How much will its weight be when it is filled to the full capacity?1 solutions Answer 365039 by ankor@dixie-net.com(15622)   on 2012-01-27 19:25:48 (Show Source): You can put this solution on YOUR website!When a bucket is filled 3/8 of its capacity its weight is 10 kg. If it is filled 3/5 of its capacity its weight is 14.5 kg. How much will its weight be when it is filled to the full capacity? : We can convert these fractions to exact decimals = .375 = .6 : Assign the values as follows x1 = .375; y1 = 10 x2 = .600; y2 = 14.5 : Find the slope m = m = = = 20 : Use the point/slope form to construct an equation: y - y1 = m(x - x1) y - 10 = 20(x - .375) y - 10 = 20x - 7.5 y = 20x - 7.5 + 10 y = 20x + 2.5, is the equation : Bucket is full when x = 1 y = 20(1) + 2.5 y = 22.5 kg for a full bucket
 Age_Word_Problems/563466: David is the age of 58 and Lisa is the age of 18. How long ago was David 5 times the age of Lisa. Logically, I know the answer is 8 years ago since David would have been 50 and Lisa would have been 10 and 5*10 =50 which five times her age. However, I need to come with this answer in an algebraic method and I've been wracking my brain over it.1 solutions Answer 365004 by ankor@dixie-net.com(15622)   on 2012-01-27 16:57:02 (Show Source): You can put this solution on YOUR website!David is the age of 58 and Lisa is the age of 18. How long ago was David 5 times the age of Lisa. : let y = the no. years ago that D was 5 times L's age : 58 - y = 5(18-y) 58 - y = 90 - 5y -y + 5y = 90 - 58 4y = 32