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 Travel_Word_Problems/706941: Jimmy and Gary ran from the disaster at 5mph. Then they reconsidered and walked back at 3mph. If they were gone 8 hours, how far did they run from the disaster. I was wondering how I would set up this equation, I have a problem with word problems like this and determining the answer. Thanks for the help1 solutions Answer 435471 by ankor@dixie-net.com(15660)   on 2013-01-27 21:40:49 (Show Source): You can put this solution on YOUR website!Jimmy and Gary ran from the disaster at 5mph. Then they reconsidered and walked back at 3mph. If they were gone 8 hours, how far did they run from the disaster. ; Let d = one way distance from the disaster, (also the distance back to it) : Write a time equation; time = dist/speed : Away time + return time = 8 hrs + = 8 Do you think you can do this now? (multiply thru by 15 to clear the denominators)
 Age_Word_Problems/706692: one of the student asks the age of Ali his answer is: "when i was at your age you were 12 year old & when you are at my age ,i will be 66 year old"accordingly ,what is the student's current age? 1 solutions Answer 435468 by ankor@dixie-net.com(15660)   on 2013-01-27 21:30:16 (Show Source): You can put this solution on YOUR website!one of the student asks the age of Ali his answer is: "when i was at your age you were 12 year old & when you are at my age,i will be 66 year old "accordingly ,what is the student's current age? : I couldn't come up with a system of equations for this, Came up with this method : A line representing their present ages 12------------S------------A------------66 : Find the difference: 66 - 12 = 54 Divide the difference by 3: 54/3 = 18 yrs is the difference in their ages therefore:\ Student is 12 + 18 = 30 yrs and Ali is 30 + 18 = 48 yrs old : Check in the statement "when i was at your age you were 12 year old," Ali: 48 - 18 = 30 which is the students present age Student: 30 - 18 = 12 yrs : "when you are at my age,i will be 66 year old " Student: 30 + 18 = 48 which is Ali's present age Ali: 48 + 18 = 66 yrs
 Trigonometry-basics/706608: a kite is at the end of a taut 50m string. if the horizontal distance is 25m, find the angle the string makes with the ground1 solutions Answer 435285 by ankor@dixie-net.com(15660)   on 2013-01-26 20:55:16 (Show Source): You can put this solution on YOUR website!a kite is at the end of a taut 50m string. if the horizontal distance is 25m, find the angle the string makes with the ground : Use the cosine; cos(A) = cos(A) = A = 60 degrees
 Surface-area/706562: How do I go about figuring out this math question? Tried again and again. Need some help if can. A running track 120 meters long, the ends of the track are semicircles with diameter of 40 meters, the width of the track is 6 meters, what is the surface area of the track?1 solutions Answer 435284 by ankor@dixie-net.com(15660)   on 2013-01-26 20:48:18 (Show Source): You can put this solution on YOUR website!A running track 120 meters long, the ends of the track are semicircles with diameter of 40 meters, the width of the track is 6 meters, what is the surface area of the track? : Something wrong here! the circumference of the two half circles: = 125.66 meters You say the track is 120 meters long, less than the circular portion \ Could it be the track is 1200 m long?
 Average/706584: ok so my mark right now is a 78 % average. and exams are coming and the exams weight factor is about 15 % of my final mark. so if i get about a 55 % on my exam, what would my final mark be? what would my final mark be if i got 80%???1 solutions Answer 435281 by ankor@dixie-net.com(15660)   on 2013-01-26 20:26:35 (Show Source): You can put this solution on YOUR website!my mark right now is a 78 % average. and exams are coming and the exams weight factor is about 15 % of my final mark. so if i get about a 55 % on my exam, what would my final mark be? : Write this as if there are 100 marks including the exam av = av = av = ave = 74.55% if you get a 55 on the exam : what would my final mark be if i got 80%??? do this exactly the same way, replace 55 with 80
 Geometry_Word_Problems/706441: A rectangular picture is 3 cm longer than it is wide. The picture is surrounded by a frame that is 2 cm wide. The area of the picture and the frame together is 1000cm^ greater than the area of the picture. I need to find the width of the picture.1 solutions Answer 435266 by ankor@dixie-net.com(15660)   on 2013-01-26 18:24:26 (Show Source): You can put this solution on YOUR website!A rectangular picture is 3 cm longer than it is wide. The picture is surrounded by a frame that is 2 cm wide. The area of the picture and the frame together is 1000cm^ greater than the area of the picture. I need to find the width of the picture. : let w = the width of the picture then (w+3) = the length of the picture and w(w+3) = w^2 + 3w; the area of the picture : The overall area; add 4 cm to the length and the width of picture W = (w+4) L = (w+7) A = (w+4)(w+7) = w^2 + 11w + 28; the overall area of the frame and picture : Overall area - picture area = 1000 cu/cm w^2 + 11w + 28 -(w^2 + 3w) = 1000 combine like terms w^2 - w^2 + 11w - 3w = 1000 - 28 8w = 972 w = 972/8 w = 121.5 cm is the width of the picture then 121.5 + 3 = 124.5 cm is the length of the picture : : YOu can check this: (125.5*128.5) - (121.5*124.5) =
 Numbers_Word_Problems/706407: number 6 is written at end of a two digit number.value of number is increased by 600.find two digit number. 1 solutions Answer 435257 by ankor@dixie-net.com(15660)   on 2013-01-26 16:26:21 (Show Source): You can put this solution on YOUR website! number 6 is written at end of a two digit number.value of number is increased by 600. find two digit number. : (100x + 10y + 6) - (10x + y) = 600 100x - 10x + 10y - y + 6 = 600 90x + 9y = 600 - 6 90x + 9y = 594 Simplify, divide by 9 10x + y = 66 y = -10x + 66 we assume both x and y are positive single digit integers only x=6 which makes y=6 satisfies this requirement : 66 is the two digit number : 666 - 66 = 600
 Geometry_Word_Problems/706416: Three circles are tangent externally to each other. The lines of centers are 12, 18 and 16 cm respectively. Find the length of the radius of each circle.1 solutions Answer 435254 by ankor@dixie-net.com(15660)   on 2013-01-26 16:00:14 (Show Source): You can put this solution on YOUR website!Three circles are tangent externally to each other. The lines of centers are 12, 18 and 16 cm respectively. Find the length of the radius of each circle. : Draw out the the three different size circles touching each other, Label the distances between the centers and the radii r1, r2, r3, derive 3 equations from this : r1 + r2 = 12 r1 + r3 = 16 r2 + r3 = 18 : Arrange these equations for elimination, mult the 3rd equation by -1: r1 + r2 + 0 = 12 r1 + 0 + r3 = 16 0 - r2 - r3 = -18 --------------------addition, eliminates r2 and r3, find r1 2(r1) = 10 r1 = 10/2 r1 = 5 is the radius of the smaller circle then 5 + r2 = 12 r2 = 12 - 5 r2 = 7 is the radius of the middle circle and 7 + r2 = 18 r2 = 11 is the radius of the larger circle : You can check this for yourself
 Age_Word_Problems/706425: Ron wants to take an early retirement in 10 years when he will be twice as old his daughter Sonia. Sonia is 25 years younger than her father. How old is Ron now? How he be when he retires?1 solutions Answer 435177 by ankor@dixie-net.com(15660)   on 2013-01-26 10:48:13 (Show Source): You can put this solution on YOUR website!Ron wants to take an early retirement in 10 years when he will be twice as old his daughter Sonia. Sonia is 25 years younger than her father. How old is Ron now? How he be when he retires? : let r = Ron's age now then (r-25) = his daughter's age : "In 10 years when he will be twice as old his daughter Sonia. r + 10 = 2((r-25)+ 10) r + 10 = 2(r - 15) r + 10 = 2r - 30 10 + 30 = 2r - r r = 40 yrs is Ron's age : " How he be when he retires?" I'm not sure how he be, perhaps very happy.
 Quadratic_Equations/706444: In a certain electrical circuit,an engineer found out that the power P can be expressed by the function P=2x^2-60x+480 where x is the current.Can the power of the circuit ever be zero?1 solutions Answer 435172 by ankor@dixie-net.com(15660)   on 2013-01-26 10:31:02 (Show Source): You can put this solution on YOUR website!n a certain electrical circuit,an engineer found out that the power P can be expressed by the function P=2x^2-60x+480 where x is the current. Can the power of the circuit ever be zero? : We can find this out by using the discriminant of this quadratic equation D =(-60)^2 - 4*2*480 D = 3600 - 3840 = -240, so NO, there are no real roots, cannot equal 0
 Equations/706432: hi i was wondering if you could help me with this question? it is a multiple choice answer question on algebra and problem solving however i am struggling to work out the correct answer. the question reads: in a maths exam with N questions, you score m marks for a correct answer to each of the first q questions and m+2 marks for a correct answer to each of the remaining questions. what is the maximum possible score? the choices then read: A (m+2)N-2q B Nm C mq+(m+2)q D n(m+1) E Nm+q(m+2) i have tried replacing the numbers with letters however it hasnt really helped! thanks again! 1 solutions Answer 435170 by ankor@dixie-net.com(15660)   on 2013-01-26 10:22:05 (Show Source): You can put this solution on YOUR website!in a maths exam with N questions, you score m marks for a correct answer to each of the first q questions and m+2 marks for a correct answer to each of the remaining questions. what is the maximum possible score? : The max score for the first q questions: mq The max score for remaining questions: (N-q)(m+2) FOILs to: Nm+2N-mq-2q Total score, combine like terms: mq + (Nm + 2N - mq - 2q) = Nm + 2N - 2q Factor out N N(m+2) - 2q, this look like ans A
 Linear_Equations_And_Systems_Word_Problems/706433: I need help with the following word problem: A large plywood box has a volume of 324 ft3. Its length is 12 ft greater than its height, and its width is 3 ft less than its height. What are the dimensions of the box? ok i know the volume of a box is found by l*w*h the length here: H+2 the with would be: H-3 and the hight is just: H but i don't think it would be right to do: (H)*(H-3)*(H+2)=3241 solutions Answer 435156 by ankor@dixie-net.com(15660)   on 2013-01-26 09:06:10 (Show Source): You can put this solution on YOUR website!A large plywood box has a volume of 324 ft3. Its length is 12 ft greater than its height, and its width is 3 ft less than its height. What are the dimensions of the box? : That's the way you do it, it would be (h+12)*(h-3)* h = 324 FOIL (h^2 - 3h + 12h - 36) * h = 324 (h^2 + 9h - 36) * h = 324 h^3 + 9h^2 - 36h - 324 = 0 We can group factor this h^2(h+9) - 36(h+9) Factor out (h+9) (h+9)(h^2-36) = 0 we are only interested in the positive solution h^2 = 36 h = 6 ft is the height then L = 18, W = 3 ft : Check: 18 * 3 * 6 = 324
 Quadratic_Equations/706395: large plywood box has a volume of 768 ft3. Its length is 16 ft greater than its height, and its width is 4 ft less than its height. What are the dimensions of the box1 solutions Answer 435153 by ankor@dixie-net.com(15660)   on 2013-01-26 08:48:44 (Show Source): You can put this solution on YOUR website! large plywood box has a volume of 768 ft3. L * W * h = 768 : Its length is 16 ft greater than its height, L = (h+16) : and its width is 4 ft less than its height. W = (h-4) : (h+16)*(h-4)* h = 768 FOIL (h^2 - 4h + 16h - 64) * h = 768 (h^2 + 12h - 64) * h = 768 h^3 + 12h^2 - 64h - 768 = 0 We can group factor this h^2(h+12) - 64(h+12) Factor out (h+12) (h+12)(h^2-64) = 0 we are only interested in the positive solution h^2 = 64 h = 8 ft is the height then L = 24, W = 4 ft : Check: 24 * 4 * 8 = 768
 Circles/706428: Given: I paid \$10 for a pizza, so I would expect to pay approximately \$20 for the same kind of pizze with twice the radius. Answer the following questions based on the given statement. 1.Would you need to consider the circumference or area of the pizza to analyze this real-world situation? In other words, which formula would you utilize to determine if this given statement makes sense, and why would you use that particular formula? 2.Does the given statement make sense? Why or why not? Use real numerical values to support your 1 solutions Answer 435150 by ankor@dixie-net.com(15660)   on 2013-01-26 08:21:54 (Show Source): You can put this solution on YOUR website! I paid \$10 for a pizza, so I would expect to pay approximately \$20 for the same kind of pizza with twice the radius. : Answer the following questions based on the given statement. 1.Would you need to consider the circumference or area of the pizza to analyze this real-world situation? In other words, which formula would you utilize to determine if this given statement makes sense, and why would you use that particular formula? : You are probably concerned with the amt of pizza you get, therefore the area is what you use. The area is so if you double the radius, you have 4 times the area : 2.Does the given statement make sense? Why or why not? Use real numerical values to support your It does not, as you can see doubling the radius gives you 4 times more pizza : You can use some real numbers to prove this to yourself, compare an 8" pizza with a 16" pizza by finding the area of each
 Travel_Word_Problems/706322: Frank will rent a car for the weekend. He can choose one of two plans. The first plan has an initial fee of \$59.96 and costs an additional \$0.14 per mile driven. The second plan has an initial fee of \$49.96 and costs an additional \$0.16 per mile driven. How many miles would Frank need to drive for the two plans to cost the same? 1 solutions Answer 435105 by ankor@dixie-net.com(15660)   on 2013-01-25 21:48:07 (Show Source): You can put this solution on YOUR website! Frank will rent a car for the weekend. He can choose one of two plans. Let m = no. of miles driven : The first plan has an initial fee of \$59.96 and costs an additional \$0.14 per mile driven. C = .14m + 59.96 : The second plan has an initial fee of \$49.96 and costs an additional \$0.16 per mile driven. C = .16m + 49.96 : How many miles would Frank need to drive for the two plans to cost the same? Plan 2 = Plan 1 .16m + 49.96 = .14m + 59.96 .16m - .14m = 59.96 - 49.96 you should be able finish this when you get m, check the cost in each plan
 Linear-equations/706317: Can someone help with this problem? Given the points P(3,4) and Q(1,0), find the slope of the line segment PQ. Thanks so much!1 solutions Answer 435101 by ankor@dixie-net.com(15660)   on 2013-01-25 21:29:11 (Show Source): You can put this solution on YOUR website!Given the points P(3,4) and Q(1,0), find the slope of the line segment PQ. : The slope formula: m = Assign the given points as follows: x1=3, y1=4 x2=1, y2=0 so we have m = = = +2 is the slope
 test/706282: Hey guys, this question is related to applications of calculus (I couldn't find the section. So, the question is as follows: A rectangular block, the length of whose base is twice the width has a total surface area of 300cm^2. Find the dimensions of the block if it is of maximum volume. Thank You1 solutions Answer 435097 by ankor@dixie-net.com(15660)   on 2013-01-25 21:08:06 (Show Source): You can put this solution on YOUR website!A rectangular block, the length of whose base is twice the width has a total surface area of 300cm^2. Find the dimensions of the block if it is of maximum volume. : Max volume will be when the larger dimension is the square sides Let the squared base = 2w by 2w, the third dimension = w : Surface area then 2(2w*2w) + 4(2w*w) = 300 8w^2 + 8w^2 = 300 16w^2 = 300 w^2 = 300/16 w^2 = 18.75 w = w ~ 4.33 cm is width and 8.66 cm the sides of the square base : Dimensions for max volume 8.66 by 8.66 by 4.33
 Travel_Word_Problems/706311: Leila is on her way home in her car. She has driven 20 miles so far, which is four-fifths of the way home. What is the total length of her drive? Thank you1 solutions Answer 435087 by ankor@dixie-net.com(15660)   on 2013-01-25 20:28:24 (Show Source): You can put this solution on YOUR website! Leila is on her way home in her car. She has driven 20 miles so far, which is four-fifths of the way home. What is the total length of her drive? : let d = total distance of the drive : four-fifth of the total distance = 20 mi d = 20 get rid of the denominator, multiply by 5, results 4d = 5(20) 4d = 100 d = 100/4 d = 25 miles is the total length : Prove this to yourself, take 4/5 of 25
 Equations/706154: A car radiator contains 30 quarts of 50% anti freeze. how many quarts should be drained and replaced with water so that the new solution is 30% antifreeze1 solutions Answer 435073 by ankor@dixie-net.com(15660)   on 2013-01-25 18:38:18 (Show Source): You can put this solution on YOUR website!A car radiator contains 30 quarts of 50% anti freeze. how many quarts should be drained and replaced with water so that the new solution is 30% antifreeze : Let x = amt to be drained and amt of water to be added : .50(30-x) = .30(30) 15 - .5x = 9 15 - 9 = .5x 6 = .5x x = 6/.5 x = 12 quarts removed and 12 qts of water added : See if that checks out .50(30-12) = .30(30) .5(18) = 9
 test/706053: Walt rode his bike from home to the bicycle repair shop and then walked home. He averaged 18 km/h riding and 6 km/h walking. If his total time was one hour, how far was it to the ship from Walt's home?1 solutions Answer 435011 by ankor@dixie-net.com(15660)   on 2013-01-25 10:08:19 (Show Source): You can put this solution on YOUR website!Walt rode his bike from home to the bicycle repair shop and then walked home. He averaged 18 km/h riding and 6 km/h walking. If his total time was one hour, how far was it to the shop from Walt's home? : Write a time equation, time = dist/speed : Let d = the distance from home to shop : Ride time + walk time = 1 hour + = 1 multiply by 18, to clear the denominators, results: d + 3d = 18 4d = 18 d = 18/4 d = 4.5 mi to the shop : : Check this by finding the times 4.5/18 = .25 hrs 4.5/6 = .75 ----------------- total time: 1.0 hrs
 Polynomials-and-rational-expressions/706128: What does squared difference of a and b means?? Is it a^2-b^2 or is it (a-b)^21 solutions Answer 435010 by ankor@dixie-net.com(15660)   on 2013-01-25 10:00:13 (Show Source): You can put this solution on YOUR website!I think it is (a - b)^2, it is the difference that is squared
 Expressions-with-variables/706044: PLEASE HELP ME Use synthetic substitution to determine if (X-2) is a factor of (2x^3 - 3x^2 + x - 6)1 solutions Answer 434953 by ankor@dixie-net.com(15660)   on 2013-01-24 21:40:48 (Show Source): You can put this solution on YOUR website!(2x^3 - 3x^2 + x - 6) / (x-2) : . . ________________ 2 | 2 - 3 + 1 - 6 > . . . .+ 4 + 2 + 6 . . ------------------ . . +2 + 1 + 3 + 0, no remainder so it factors this translates to 2x^2 + x + 3; which can't be factored
 Geometry_proofs/706004: given area of a triangle is 36 inches squared, base 3x inches, height 2x+2 inches, Prove: solve for x and find the base. I totally don't get this or even know where to start!1 solutions Answer 434952 by ankor@dixie-net.com(15660)   on 2013-01-24 21:30:55 (Show Source): You can put this solution on YOUR website!given area of a triangle is 36 inches squared, base 3x inches, height 2x+2 inches, Prove: solve for x and find the base. : You know (hopefully) the area of a triangle: A = *b*h therefore: *(3x)*(2x+2) = 36 get rid of the fraction, mult both sides by 2 3x(2x+2) = 72 6x^2 + 6x - 72 = 0 a quadratic equation that we an simplify, divide by 6 x^2 + x - 12 = 0 Factors to (x+4)(x-3) = 0 the positive solution x = 3 : : You can prove this to yourself, replace x with 3 in each expression and find the area
 test/706035: I need to fill in a table for this question. And also an equation y=mx+b I need help. 'Huricane Ann is 420 miles from the coast at 35 miles per hour . Write a function describing distance in terms of time in hours.'1 solutions Answer 434947 by ankor@dixie-net.com(15660)   on 2013-01-24 21:23:07 (Show Source): You can put this solution on YOUR website! I need to fill in a table for this question. And also an equation y=mx+b I need help. 'Huricane Ann is 420 miles from the coast at 35 miles per hour . Write a function describing distance in terms of time in hours.' : let x = time in hours then f(x) distance from the coast in x hrs let y = f(x) : (dist is speed * time) : y = -35x + 420: is the y = mx+b form : A table starting with t=0 x | y ------- 0 |420 mi from the coast 1 |385 mi (y = -35(1) + 420) 2 |350 mi (y = -35(2) + 420) 3 |315 mi 4 | you can continue this I am sure
 Miscellaneous_Word_Problems/705858: Thirty percent of the students in a mathematics class received an “A.” If 18 students received an “A,” which of the following represents the number of students in the class?1 solutions Answer 434937 by ankor@dixie-net.com(15660)   on 2013-01-24 21:03:20 (Show Source): You can put this solution on YOUR website!Thirty percent of the students in a mathematics class received an “A.” If 18 students received an “A,” which of the following represents the number of students in the class? : Let n = number of students in the class .30n = 18 find n
 Equations/705704: hi i have a qiestion about a formula:for measuring the sound intensity level why do we use log? why don't we use sin or cos or anything else? plz answer me many thnx1 solutions Answer 434935 by ankor@dixie-net.com(15660)   on 2013-01-24 21:00:36 (Show Source): You can put this solution on YOUR website!Probably because the human ear is a logarithmic device. Another words very soft sounds get amplified much more than loud sounds. It recognizes only a 3 db increase in power when sound power is doubled.
 Travel_Word_Problems/705579: how do you work the problem kathy traveled m miles in h hours and then traveled x miles in h+ 4 hours. at the same overall average rate, how long would it take her to travel 50 miles1 solutions Answer 434932 by ankor@dixie-net.com(15660)   on 2013-01-24 20:47:42 (Show Source): You can put this solution on YOUR website! kathy traveled m miles in h hours and then traveled x miles in h+ 4 hours. at the same overall average rate, Find the speed from the given information; speed = dist/time : s = m/h and s = x/(h+4) ; how long would it take her to travel 50 miles; t = dist/speed = = hrs and = = hrs
 Average/705884: 1..If Jamar's average quiz score is 8, and he misses his next quiz so he gets a 0. What what is his average after 6 quizzes? 2.. after 20 quizzes, Jamar's average is 8. He gets a 0 on the 21st quiz. What is his average after 21 quizzes?? PLEASEE HELPP1 solutions Answer 434879 by ankor@dixie-net.com(15660)   on 2013-01-24 18:07:48 (Show Source): You can put this solution on YOUR website! 1..If Jamar's average quiz score is 8, and he misses his next quiz so he gets a 0. What what is his average after 6 quizzes? Assume he got an 8 on five of the quizzes to go along with his 0 = 6 is the av : 2.. after 20 quizzes, Jamar's average is 8 . He gets a 0 on the 21st quiz. What is his average after 21 quizzes?? = 7.6 if he got a zero in 21 quizzes
 Average/705736: 4 kids score 100. The rest score at least 70. The average is 78. How many kids in the class1 solutions Answer 434849 by ankor@dixie-net.com(15660)   on 2013-01-24 16:36:42 (Show Source): You can put this solution on YOUR website!4 kids score 100. The rest score at least 70. The average is 78. How many kids in the class. : let n = number of kids in the class : Av of 71, 72, 73 would not give me an integer solution so used 74 average : = 78 mult both sides by n 74n - 296 + 400 = 78n 400 - 296 = 78n - 74n 104 = 4n n = 104/4 n = 26 kids
 Expressions-with-variables/705643: Please help me with this question: Simplify(factor if necessary) 3ap^2-6ap^2m^2 over 3ap^2m Thank you 1 solutions Answer 434756 by ankor@dixie-net.com(15660)   on 2013-01-24 09:57:17 (Show Source): You can put this solution on YOUR website!Simplify(factor if necessary) : We can also write this over two fractions - Cancel 3ap^2 in the first fraction and 3ap^2m in the 2nd fraction, leaving: - 2m or as a single fraction