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 Travel_Word_Problems/697278: If Mr. Norton walks for 2 miles and then cycles for 6 miles, it takes him 1 hr and 24 min to go the total distance of 8 miles....but if he walks for 5 miles and cycles for 3 miles the rates of walking and cycling being the same as before, the total time taken is 2 hr and 18 min. Find the rates of walking and cycling.1 solutions Answer 429828 by ankor@dixie-net.com(15746)   on 2012-12-29 15:50:04 (Show Source): You can put this solution on YOUR website!If Mr. Norton walks for 2 miles and then cycles for 6 miles, it takes him 1 hr and 24 min to go the total distance of 8 miles ....but if he walks for 5 miles and cycles for 3 miles the rates of walking and cycling being the same as before, the total time taken is 2 hr and 18 min. Find the rates of walking and cycling. : let w = his walking speed let c = cycling speed : change 1 hr 24 min to: 1 + 24/60 = 1.4 hrs change 2 hr 18 min to: 2 + 18/60 + 2.3 hrs : Write time equation for scenario + = 1.4 and + = 2.3 : multiply the above equation by 2wc and mult the 1st equation by wc 10c + 6w = 4.6wc 2c + 6w = 1.4wc --------------------subtraction eliminates w, find c 8c = 3.2wc divide both sides by c 8 = 3.2w w = 8/3.2 w = 2.5 mph walking speed : Find the cycling speed using eq: + = 1.4 + = 1.4 .8 + = 1.4 = 1.4 - .8 = .6 c = 6/.6 c = 10 mph is the cycling speed : : Check this in the equation: + = 2.3 + = 2 + .3 = 2.3
 percentage/697240: There are twice as many boys as girls in the class. if 20% of the boys and 35% of the girls have already handed over their result cards, what percent of the students have not yet handed over their result cards? 1 solutions Answer 429809 by ankor@dixie-net.com(15746)   on 2012-12-29 13:20:44 (Show Source): You can put this solution on YOUR website!There are twice as many boys as girls in the class. let x = no. of girls then 2x = no. of boys and 3x = total number of students : if 20% of the boys and 35% of the girls have already handed over their result cards, what percent of the students have not yet handed over their result cards? : = = Cancel x * 100 = 25% of the students have handed theirs in, therefore 75% have not.
 test/697265: My 8th grader needs help with her Pre-algebra 1 solutions Answer 429808 by ankor@dixie-net.com(15746)   on 2012-12-29 13:09:14 (Show Source): You can put this solution on YOUR website!Have her submit actual problems that she is having trouble with. You can request step-by-step procedures to solve it. Make sure the problems are clearly written Use brackets to ensure this.
 Volume/697106: John made a cubical lantern. The total length of its edges is 36 dm. What is the total surface area that he has to cover?1 solutions Answer 429674 by ankor@dixie-net.com(15746)   on 2012-12-28 09:23:56 (Show Source): You can put this solution on YOUR website!John made a cubical lantern. The total length of its edges is 36 dm. What is the total surface area that he has to cover? : A cube has 12 edges, therefore one edge: 36/12 = 3 dm : A cube has 6 sides, therefore: Surface area of a cubes 6 time the area of each side S.A. = 6 * 3^2 S.A. = 54 sq/dm
 Equations/697090: solve the following algebraically: I see that both sides of the equation have a the only exception is the +4. I'm not sure what I am supposed to do with the four. Should I put a one under it? I don't understand how I am supposed to solve for "x"1 solutions Answer 429649 by ankor@dixie-net.com(15746)   on 2012-12-27 22:02:38 (Show Source): You can put this solution on YOUR website!solve the following algebraically: Actually there is no solution, but plunging ahead anyway : multiply thru by (x-3) and you have 2 + 4(x-3) = 2 Subtract 2 from both side 4(x - 3) = 0 4x - 12 = 0 4x = 12 x = 12/4 x = 3 : Now you can see if you replace x with 3, in the original equation we have division by 0, hence no solution
 Age_Word_Problems/697072: I know a priest who is 44 years old. Sometime ago, he was twice as old as I. In the following year he was one and a half times older than I. How old am I now?1 solutions Answer 429648 by ankor@dixie-net.com(15746)   on 2012-12-27 21:55:58 (Show Source): You can put this solution on YOUR website!I know a priest who is 44 years old. Sometime ago, he was twice as old as I. In the following year he was one and a half times older than I. How old am I now? : We can approach this with this relationship: let p = priest's age some time ago let a = your age some time ago Find the age in which p is twice a, and one year later p is 1.5a : 2a = p and one year later 1.5(a+1) = p + 1 1.5a + 1.5 = p + 1 1.5a = p + 1 - 1.5 1.5a = p - .5 replace p with 2a 1.5a = 2a - .5 1.5a - 2a = -.5 -.5a = -.5 a = 1 year old some time ago and p = 2 yrs old some time ago then one year later: a = 2, then p = 3, we know that 1.5(2) = 3 there is only one year difference, therefore when the priest is 44 you are 43
 Travel_Word_Problems/697055: Two cars leave a gas station and head in the same direction. Car A travels at 35 mph, while car B travels at 45 mph. If Car B leaves two hours after Car A, how many miles from the gas station will Car B catch up to Car A? 1 solutions Answer 429632 by ankor@dixie-net.com(15746)   on 2012-12-27 19:52:43 (Show Source): You can put this solution on YOUR website!Two cars leave a gas station and head in the same direction. Car A travels at 35 mph, while car B travels at 45 mph. If Car B leaves two hours after Car A, how many miles from the gas station will Car B catch up to Car A? : Find the time required for car B to catch car A : Let t = travel time of Car B then (t+2) = travel time of Car A : When B catches A, they will have traveled the same distance. Write a distance equation: Dist = speed * time : 45t = 35(t+2) 45t = 35t + 70 45t - 35t = 70 10t = 70 t = 70/10 t = 7 hrs is the travel time of car B then 7 + 2 = 9 hrs is the time of Car A : "how many miles from the gas station will Car B catch up to Car A?" 7 * 45 = 315 mi from the station confirm this with Car A 9 * 35 = 315 mi
 �t�e�s�t/697035: Find the x and y intercept of the line through point P(-3,2) which is parallel to the line 4x-5y = 17 can you please help me? Thanks so much in advance.1 solutions Answer 429617 by ankor@dixie-net.com(15746)   on 2012-12-27 16:32:03 (Show Source): You can put this solution on YOUR website! Find the x and y intercept of the line through point P(-3,2) which is parallel to the line 4x-5y = 17 : Parallel lines have the same slope, put the equation in the slope/intercept form 4x - 5y = 17 subtract 4x from both sides -5x = -4x + 17 y has to be positive, multiply both sides by -1 5y = 4x - 17 y has to have a coefficient of 1, divide both sides by 5 y = x - : Now we know the slope = 4/5 : Use the point slope equation to find the equation of the parallel line y - y1 = m(x - x1), where: x1 = -3, y1 = 2, m = 4/5 y - 2 = (x -(-3)) y - 2 = x + y - 2 = x + 2.4 y = x + 2.4 + 2 y = x + 4.4, is the equation of the parallel line passing thru -3,2 : Confirm this, replace x with -3 and solve for y, should = 2
 Graphs/697025: what is the slope of 2x+y=2. i dont know if i should subtract the two. or get rid of the two next to the x or just leave the x as 0. please help. 1 solutions Answer 429595 by ankor@dixie-net.com(15746)   on 2012-12-27 13:36:14 (Show Source): You can put this solution on YOUR website!what is the slope of 2x+y=2. : You want to put the equation into the slope/intercept form which is y = mx + b : 2x + y = 2 subtract 2x from both sides y = -2x + 2 This is the slope/intercept form, the slope (m) is -2
 Money_Word_Problems/696942: Bob is buying buildings. The cost of each building increases by 10% of the cost of the first building. If the cost of the first building is 2.7million, how much would number 10,000 cost1 solutions Answer 429567 by ankor@dixie-net.com(15746)   on 2012-12-27 08:46:53 (Show Source): You can put this solution on YOUR website!Bob is buying buildings. The cost of each building increases by 10% of the cost of the first building. If the cost of the first building is 2.7million, how much would number 10,000 cost? : Let A = cost of 10000th building in millions A = 2.7 + (.1*10000*2.7) A = 2.7 + 2700 A = 2702.7 million
 Rate-of-work-word-problems/696715: 2 pipes fill a tank in 10 minutes, large pipe fill twice the smaller and out of one pipe empty 45 minutes. how much time taken by the small pipe to fill1 solutions Answer 429543 by ankor@dixie-net.com(15746)   on 2012-12-26 21:01:50 (Show Source): You can put this solution on YOUR website!2 pipes fill a tank in 10 minutes, large pipe fill twice the smaller and out of one pipe empty 45 minutes. how much time taken by the small pipe to fill? : Let t = time for the small pipe to fill the tank (in minutes then .5t = time for the large pipe to fill it : let the completed job = 1 (a full tank : + = 1 multiply by t 2(10) + 10 = t 20 + 10 = t t = 30 min for the small pipe working alone
 Problems-with-consecutive-odd-even-integers/696788: 5px^2-8x+2=0 solve using quadratic formula!1 solutions Answer 429529 by ankor@dixie-net.com(15746)   on 2012-12-26 19:49:29 (Show Source): You can put this solution on YOUR website!5px^2-8x+2=0 solve using quadratic formula! : In this equation: a=5p; b=-8; c=2 Two solutions and
 Numbers_Word_Problems/696881: A number consists of two digits. The sum of the digit is 10. On reversing the digits of the number, the number decreases by 36. What is the product of the two digits ?1 solutions Answer 429437 by ankor@dixie-net.com(15746)   on 2012-12-26 09:42:52 (Show Source): You can put this solution on YOUR website!A number consists of two digits. let a = the tens digit let b = the units then 10a+b = the "number" : The sum of the digit is 10. a + b = 10 : On reversing the digits of the number, the number decreases by 36. 10b + a = 10a + b - 36 Combine like terms 10b - b = 10a - a - 36 9b = 9a - 36 simplify, divide by 9 b = a - 4 -a + b = -4 : use elimination on the two equation a + b = 10 -a + b = -4 ------------------addition eliminates a, find b 2b = 6 b = 3 You should be able to find a, and check that it satisfies the the statement "On reversing the digits of the number, the number decreases by 36. " then answer the question " What is the product of the two digits ?"
 Mixture_Word_Problems/696825: the number of hours that were left in the day was one-third of the number of hours already passed. how many hours were left in the day ? 1 solutions Answer 429358 by ankor@dixie-net.com(15746)   on 2012-12-25 15:43:32 (Show Source): You can put this solution on YOUR website!the number of hours that were left in the day was one-third of the number of hours already passed. how many hours were left in the day ? : let x = no. hr left in the day : x = (24-x) Get rid of the fraction, mult by 3, resulting in 3x = 24 - x 3x + x = 24 4x = 24 x = 24/4 x = 6 hrs
 Problems-with-consecutive-odd-even-integers/696756: Divide 41 into two positive parts such that difference of their squares is 369.1 solutions Answer 429287 by ankor@dixie-net.com(15746)   on 2012-12-24 16:36:46 (Show Source): You can put this solution on YOUR website!Divide 41 into two positive parts such that difference of their squares is 369 : Let x = one number then (41-x) = the other number : (41-x)^2 - x^2 = 369 FOIL 1681 - 82x + x^2 - x^2 = 369 -82x = 369 - 1681 -82x = -1312 x = -1312/-82 x = +16 is one number and 41 - 16 = 25 is the other number : : Check 25^2 - 16^2 = 625 - 256 = 369
 Rate-of-work-word-problems/696722: 'A' can complete a work in 6 days and 'B' in 5 days. They work together with their full capacities and receive rs 220 as wages for the work. What is The share of 'B' 1 solutions Answer 429263 by ankor@dixie-net.com(15746)   on 2012-12-24 10:53:03 (Show Source): You can put this solution on YOUR website! 'A' can complete a work in 6 days and 'B' in 5 days. They work together with their full capacities and receive rs 220 as wages for the work. What is The share of 'B' : Let b = B's amt then (220-b) = A's amt : An inverse relationship here = Cross multiply 5b = 6(220-b) 5b = 1320 - 6b 6b + 5b = 1320 11b = 1320 b = 1320/11 b = \$120 is B's share
 Money_Word_Problems/696597: I am trying to create an algebra equation for a refinance dilemma. I currently have a \$150,000 balance of my mortgage for 20 more years at 3.8% APR. I am getting offers to refinance for 3.5% with \$3600 closing or 3.3% APR with \$4800 closing. I am looking to use an algebra equations to determine how long it would take me to get my closing cost back and what company would be the best to use if I decide to do it. Thanks1 solutions Answer 429244 by ankor@dixie-net.com(15746)   on 2012-12-23 21:41:22 (Show Source): You can put this solution on YOUR website!I currently have a \$150,000 balance of my mortgage for 20 more years at 3.8% APR. I am getting offers to refinance for 3.5% with \$3600 closing or 3.3% APR with \$4800 closing. : I would not refinance for small a difference in interest. Your payment difference going from 3.8 to 3.3 is about \$40 a month To recover the cost of \$4800 it would take you 120 months or 10 years : If you are paying \$4800 up front just put it on the principal and reduce the life of the loan by almost a year (11 months) 11 monthly payments saved is a big amt : If you are not putting up front, they will add it to amt of the loan and of course charge you interest on it for 20 years : I think these finance companies are a bunch of crooks. Maybe a 2% reduction would make sense, but not .5 % : If you really want to save some money, put \$500 or whatever you can on the principal every month, you would save enough money to pay cash for a car.
 Miscellaneous_Word_Problems/696669: The time, in hours, it takes to decorate the school gym for a dance varies inversely as the number of students, , who are helping decorate. If a group of 7 students can decorate the gym in 7 hours, which of the following equations best models the time, , it will take a group of students to decorate the gym?1 solutions Answer 429243 by ankor@dixie-net.com(15746)   on 2012-12-23 21:16:10 (Show Source): You can put this solution on YOUR website!The time, in hours, it takes to decorate the school gym for a dance varies inversely as the number of students, , who are helping decorate. t = , where t = time in hrs s = no. of students k = constant of variation : If a group of 7 students can decorate the gym in 7 hours, Find k 7 = k = 49 : which of the following equations best models the time, , it will take a group of students to decorate the gym? t =
 Travel_Word_Problems/696357: Use the verticle height formula to solve the following h= -16t^ + intitial velocity + initial height. A person throws a ball in the air with an initial height of 4 feet and an initial velocity of 40 feet per second. The person catches the ball when it is 3 feet from the ground. how much time is the ball in the air?1 solutions Answer 429240 by ankor@dixie-net.com(15746)   on 2012-12-23 21:06:46 (Show Source): You can put this solution on YOUR website! Use the vertical height formula to solve the following h= -16t^ + initial velocity + initial height. A person throws a ball in the air with an initial height of 4 feet and an initial velocity of 40 feet per second. The person catches the ball when it is 3 feet from the ground. how much time is the ball in the air? : The equation for this situation: -16t^2 + 40t + 4 = 3 -16t^2 + 40t + 4 - 3 = 0 -16t^2 + 40t + 1 = 0 Use the quadratic formula: . where x = t; a = -16; b = 40; c = 1 : : Two solutions t = t = -.024755; not a reasonable solution and t = t = +2.52 seconds is the time it is in the air and caught