Algebra.Com's Answer #853426 by n2(54)  You can put this solution on YOUR website! .\r \n" );
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document.write( "Starting from November 2025 and during December 2025 I worked on checking solutions \n" );
document.write( "provided by @mananth at this forum www.algebra.com .\r \n" );
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document.write( "For now, Jan.06, 2026, I reviewed/checked about 2*17*31 = 1054 problems, solved \n" );
document.write( "by @mananth at this web-site (problems from 2390..9419 to 10320..10349 inclusively \n" );
document.write( "of the list https://www.algebra.com/tutors/your-answers.mpl?userid=mananth ).\r \n" );
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document.write( "Of them, I found about 99 problems solved incorrectly. \n" );
document.write( "Below is the list of these problems, solved incorrectly. \n" );
document.write( "For each of these problems, my correct solution is placed at the same spot/link.\r \n" );
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document.write( "I started this my checking job from some of the problems, and after checking approximately 70 problems, \n" );
document.write( "I started noticing the repeating patterns in problems and in their solutions. \n" );
document.write( "Quite often, these solutions were incorrect, and the errors were of the kind a live person would not \n" );
document.write( "make them. It led me to the idea that the solution were actually produced not by a living person, \n" );
document.write( "but by a computer code, instead. So, it was a very early version of the Artificial Intelligence.\r \n" );
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document.write( "After getting this observation, two ideas led me.\r \n" );
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document.write( "First idea was, of course, to clean this forum from erroneous solutions. \n" );
document.write( "Second idea was to learn how far this artificial intelligence may lead in producing wrong and right solution. \n" );
document.write( "So, this file is my report on this issue.\r \n" );
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document.write( "I collected here only wrong solutions (wrong from a Math point of view). \n" );
document.write( "There were also cases, when the solutions were led to correct answers, but were wrong \n" );
document.write( "from an educative/pedagogical point of view. Then suggestions \"wrong/correct\" become more individualized/personalized, \n" );
document.write( "and I did not include such cases in this my file. So, only incorrect solutions are collected/listed here.\r \n" );
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document.write( "From about 1000 reviewed problems, the number of incorrectly solved is about 100 (for now). \n" );
document.write( "In other words, about 10% of all problems were solved incorrectly by @mananth (by his version of AI).\r \n" );
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document.write( "457475 (1)\r\n" );
document.write( "How do I solve and algebra problem with a squared variable? 25=16-Tsquared\r\n" );
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document.write( "https://www.algebra.com/algebra/homework/Square-cubic-other-roots/Square-cubic-other-roots.faq.question.457475.html\r\n" );
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document.write( "457528\r\n" );
document.write( "Can someone help me solve the solutin of the system using the elemination method?\r\n" );
document.write( "5x + 2y = -11\r\n" );
document.write( "7x - 3y = 13\r\n" );
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document.write( "https://www.algebra.com/algebra/homework/coordinate/Linear-systems.faq.question.457528.html\r\n" );
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document.write( "457531\r\n" );
document.write( "Linear-systems/457531: Can someone help me solve the solution of the system using the elemination method?\r\n" );
document.write( "0.3x - 0.2y = 4\r\n" );
document.write( "0.5x + 0.5y = 45/23\r\n" );
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document.write( "https://www.algebra.com/algebra/homework/coordinate/Linear-systems.faq.question.457531.html\r\n" );
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document.write( "457527\r\n" );
document.write( "Can someone help me solve the solution of the system by using the elimination method to find the solution?\r\n" );
document.write( "x + 5y = 20\r\n" );
document.write( "-x + 8 = 19\r\n" );
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document.write( "https://www.algebra.com/algebra/homework/coordinate/Linear-systems.faq.question.457527.html\r\n" );
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document.write( "455657\r\n" );
document.write( "Using the Point-Slope form to write equations\r\n" );
document.write( "m=3/4, (2,-6)\r\n" );
document.write( "y--6=3/4(x--2)\r\n" );
document.write( "How do I solve this problem?\r\n" );
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document.write( "https://www.algebra.com/algebra/homework/Polynomials-and-rational-expressions/Polynomials-and-rational-expressions.faq.question.455657.html\r\n" );
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document.write( "454369\r\n" );
document.write( "Write an equation of the line containing the given point and parallel to the given line. \r\n" );
document.write( "Express your answer in the form y=mx+b\r\n" );
document.write( "(-6,7); 2x=9y+8\r\n" );
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document.write( "https://www.algebra.com/algebra/homework/equations/Equations.faq.question.454369.html\r\n" );
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document.write( "453363\r\n" );
document.write( "solve \r\n" );
document.write( "please justify your answer thank you\r\n" );
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document.write( "https://www.algebra.com/algebra/homework/Polynomials-and-rational-expressions/Polynomials-and-rational-expressions.faq.question.453363.html\r\n" );
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document.write( "454327\r\n" );
document.write( "Solve the linear system by using substitution. 3x+2y=5, 5x-9y=-4\r\n" );
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document.write( "https://www.algebra.com/algebra/homework/Expressions-with-variables/Expressions-with-variables.faq.question.454327.html\r\n" );
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document.write( "453794\r\n" );
document.write( "solve by completing the square.\r\n" );
document.write( "x^2+4x-12=0\r\n" );
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document.write( "https://www.algebra.com/algebra/homework/complex/Complex_Numbers.faq.question.453794.html\r\n" );
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document.write( "454259 (10)\r\n" );
document.write( "Use substitution method to determine whether the system of linear equations has no solution, one solution,or many solutions\r\n" );
document.write( "2x - y = 8\r\n" );
document.write( "x + 4y = 13\r\n" );
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document.write( "https://www.algebra.com/algebra/homework/coordinate/Linear-systems.faq.question.454259.html\r\n" );
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document.write( "454258\r\n" );
document.write( "solve using substitution method\r\n" );
document.write( "x - 5y = 17\r\n" );
document.write( "-5x - 6y = 8\r\n" );
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document.write( "https://www.algebra.com/algebra/homework/coordinate/Linear-systems.faq.question.454258.html\r\n" );
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document.write( "454379\r\n" );
document.write( "Find an eaution of the line containing the given pair of points.\r\n" );
document.write( "(-7,-9) and (-4,-8)\r\n" );
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document.write( "https://www.algebra.com/algebra/homework/equations/Equations.faq.question.454379.html\r\n" );
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document.write( "453353\r\n" );
document.write( "what is the slope-intercept of 2x-7y=-24 passing through (9,11)\r\n" );
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document.write( "https://www.algebra.com/algebra/homework/Linear-equations/Linear-equations.faq.question.453353.html\r\n" );
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document.write( "452963\r\n" );
document.write( "I am having a problem factoring this one 14a^(2)-45a-14\r\n" );
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document.write( "https://www.algebra.com/algebra/homework/Polynomials-and-rational-expressions/Polynomials-and-rational-expressions.faq.question.452963.html\r\n" );
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document.write( "451898\r\n" );
document.write( "How do I set this problem up:\r\n" );
document.write( "If a farmer stand owner mixes apple juice and cranberry juice, how much should he charge if he mixes 8L \r\n" );
document.write( "of apple juice selling for 45 cents a liter with 10L of cranberrt juice sellling for $1.08 a liter.\r\n" );
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document.write( "https://www.algebra.com/algebra/homework/Expressions-with-variables/Expressions-with-variables.faq.question.451898.html\r\n" );
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document.write( "451984\r\n" );
document.write( "i am having troubles with solving the systems of equations in substitution. \r\n" );
document.write( "how do you solve the equation x-2y=0 and 4x-3y=15 in ordered pair form, (x,y)?\r\n" );
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document.write( "https://www.algebra.com/algebra/homework/Systems-of-equations/Systems-of-equations.faq.question.451984.html\r\n" );
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document.write( "452157\r\n" );
document.write( "bayside insurance offers two health plans. \r\n" );
document.write( "under plan a, giselle would have to pay the first $120 of her medical bills, plus 30% of the rest. \r\n" );
document.write( "under the plan b, giselle would pay the first $160, but only 20% of the rest. \r\n" );
document.write( "for what amount of medical bills will plan b save giselle money? assume she has over $160 in bills \r\n" );
document.write( "giselle would save with plan b if she had more than $ in bills.\r\n" );
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document.write( "https://www.algebra.com/algebra/homework/coordinate/word/Linear_Equations_And_Systems_Word_Problems.faq.question.452157.html\r\n" );
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document.write( "453010\r\n" );
document.write( "joanne mows the front yard in 40 min, while hope can mow the same yard in 50 min. how long would it take them, working together with two mowers, to mow the yard?\r\n" );
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document.write( "https://www.algebra.com/algebra/homework/Rate-of-work-word-problems/Rate-of-work-word-problems.faq.question.453010.html\r\n" );
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document.write( "449831\r\n" );
document.write( "a circle has a diameter with endpoints (5,-2) and (-13,-6) what are the coordinates of the center of the circle\r\n" );
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document.write( "https://www.algebra.com/algebra/homework/word/geometry/Geometry_Word_Problems.faq.question.449831.html\r\n" );
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document.write( "448805 (20)\r\n" );
document.write( "graph the line that goes through point (3,8) and is parallel to the line whose equation is 6y-10x=30\r\n" );
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document.write( "https://www.algebra.com/algebra/homework/Linear-equations/Linear-equations.faq.question.448805.html\r\n" );
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document.write( "449484\r\n" );
document.write( "Solve by the elimination method.\r\n" );
document.write( "0.3x-0.2y=4\r\n" );
document.write( "0.2x+0.5y=-75/17\r\n" );
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document.write( "https://www.algebra.com/algebra/homework/Expressions-with-variables/Expressions-with-variables.faq.question.449484.html\r\n" );
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document.write( "447774\r\n" );
document.write( "how to simplify sqrt (12ab^3c^2)\r\n" );
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document.write( "https://www.algebra.com/algebra/homework/Expressions-with-variables/Expressions-with-variables.faq.question.447774.html\r\n" );
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document.write( "448811\r\n" );
document.write( "at the beginning of a walk Roberto and Juanita are 7.7 miles apart. If they leave at the same time and walk \r\n" );
document.write( "in the same direction, Roberto overtakes Juanita in 11 hours. If they walk towards each other, they meet \r\n" );
document.write( "in 1 hour what are their speeds?\r\n" );
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document.write( "https://www.algebra.com/algebra/homework/word/travel/Travel_Word_Problems.faq.question.448811.html\r\n" );
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document.write( "449124\r\n" );
document.write( "The radiator in Natalie's car contains 6.3 L of antifreeze and water. This mixture is 30% antifreeze. \r\n" );
document.write( "How much of this mixture should she drain and replace with pure antifreeze so that there will be \r\n" );
document.write( "a mixture of 50% antifreeze?\r\n" );
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document.write( "https://www.algebra.com/algebra/homework/word/mixtures/Mixture_Word_Problems.faq.question.449124.html\r\n" );
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document.write( "448811\r\n" );
document.write( "At the beginning of a walk Roberto and Juanita are 7.7 miles apart. If they leave at the same time and walk \r\n" );
document.write( "in the same direction, Roberto overtakes Juanita in 11 hours. If they walk towards each other, they meet \r\n" );
document.write( "in 1 hour what are their speeds?\r\n" );
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document.write( "https://www.algebra.com/algebra/homework/word/travel/Travel_Word_Problems.faq.question.448811.html\r\n" );
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document.write( "\r\n" );
document.write( "449124\r\n" );
document.write( "The radiator in Natalie's car contains 6.3 L of antifreeze and water. This mixture is 30% antifreeze.\r\n" );
document.write( "How much of this mixture should she drain and replace with pure antifreeze so that there will be \r\n" );
document.write( "a mixture of 50% antifreeze?\r\n" );
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document.write( "https://www.algebra.com/algebra/homework/word/mixtures/Mixture_Word_Problems.faq.question.449124.html\r\n" );
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document.write( "448767\r\n" );
document.write( "Write an equation of the line containing the given point and parallel to the given line. \r\n" );
document.write( "Express your answer in the form y=mx+b.\r\n" );
document.write( "(8,9); x+7y=2\r\n" );
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document.write( "https://www.algebra.com/algebra/homework/Linear-equations/Linear-equations.faq.question.448767.html\r\n" );
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document.write( "447905\r\n" );
document.write( "substitution\r\n" );
document.write( "a - 4b = 2\r\n" );
document.write( "2a - 5b = 1\r\n" );
document.write( "with steps too\r\n" );
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document.write( "https://www.algebra.com/algebra/homework/coordinate/Linear-systems.faq.question.447905.html\r\n" );
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document.write( "448337\r\n" );
document.write( "What is the answer to this equation 2x/5 = 4+2/3 ? If Not the answer how do i solve this equation?\r\n" );
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document.write( "https://www.algebra.com/algebra/homework/equations/Equations.faq.question.448337.html\r\n" );
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document.write( "448309 (30)\r\n" );
document.write( "A milk tank can be filled by pip A in 6 hours, by pipe B in 8 hours and by pipe C in 12 hours. \r\n" );
document.write( "how long will it take all three pipes working together to fill the tank?\r\n" );
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document.write( "https://www.algebra.com/algebra/homework/word/mixtures/Mixture_Word_Problems.faq.question.448309.html\r\n" );
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document.write( "448368\r\n" );
document.write( "Jim opens a savings account with a deposit of $10,000. If the account has an annual interest rate of 6%, \r\n" );
document.write( "compounded quarterly, how much is in the account after one year.\r\n" );
document.write( "Can you show me steps on how to work this problem. It's been years since I had algebra. Thank you so much.\r\n" );
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document.write( "https://www.algebra.com/algebra/homework/word/finance/Money_Word_Problems.faq.question.448368.html\r\n" );
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document.write( "448477\r\n" );
document.write( "Find the slope of the line that contains the points 9,8 and -2,1\r\n" );
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document.write( "https://www.algebra.com/algebra/homework/Linear-equations/Linear-equations.faq.question.448477.html\r\n" );
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document.write( "447396\r\n" );
document.write( "I need help writing the slope-intercept equation for the line that passes through (-3, -15) and is perpendicular \r\n" );
document.write( "to -6x + 8y = 3. Thank you.\r\n" );
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document.write( "https://www.algebra.com/algebra/homework/equations/Equations.faq.question.447396.html\r\n" );
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document.write( "447773\r\n" );
document.write( "A circular swimming pool has a diameter of 8 M and a depth of 2 m. what is the volume of the swimming pool?\r\n" );
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document.write( "https://www.algebra.com/algebra/homework/Volume/Volume.faq.question.447773.html\r\n" );
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document.write( "446417\r\n" );
document.write( "A pump can empty a swimming pool at a rate of 35 liters per minute. At that rate, how many days will it take \r\n" );
document.write( "to empty a pool of 10,000 gallons?\r\n" );
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document.write( "https://www.algebra.com/algebra/homework/conversion/Reduction-of-unit-multipliers.faq.question.446417.html\r\n" );
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document.write( "446771\r\n" );
document.write( "(y^2-4/y+3)=2-(y-2/y+3)\r\n" );
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document.write( "https://www.algebra.com/algebra/homework/Polynomials-and-rational-expressions/Polynomials-and-rational-expressions.faq.question.446771.html\r\n" );
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document.write( "446848\r\n" );
document.write( "A new machine can make 10,000 aluminum cans three times faster than an older machine. with both machines working, \r\n" );
document.write( "10,000 cans be made in 9h. how long would it take the new machine, working alone, to make the 10,000 cans?\r\n" );
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document.write( "https://www.algebra.com/algebra/homework/Rate-of-work-word-problems/Rate-of-work-word-problems.faq.question.446848.html\r\n" );
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document.write( "446858\r\n" );
document.write( "Find the slope of AC and BD. Decide whether AC is perpendicular to BD.\r\n" );
document.write( "A(-1,-2) B(-3,2) C(0,1) D(3,0)\r\n" );
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document.write( "https://www.algebra.com/algebra/homework/Points-lines-and-rays/Points-lines-and-rays.faq.question.446858.html\r\n" );
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document.write( "446364\r\n" );
document.write( "Palmer's average running speed is 3 Kilometers per hour faster than his walking speed. If Palmer can run \r\n" );
document.write( "around a 20-Kilometer course in 2 hours, how many hourse would it take her Palmer to walk the same course?\r\n" );
document.write( "I NEED TO SEE THE WORK ON HOW YOU GOT THE ANSWER!!\r\n" );
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document.write( "https://www.algebra.com/algebra/homework/word/travel/Travel_Word_Problems.faq.question.446364.html\r\n" );
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document.write( "446358 (40)\r\n" );
document.write( "One person can do a certain job in six days, a second person can do the same job in two days, and a third person \r\n" );
document.write( "can do this job in three days. How many days will they take to do the job together?\r\n" );
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document.write( "https://www.algebra.com/algebra/homework/Rate-of-work-word-problems/Rate-of-work-word-problems.faq.question.446358.html\r\n" );
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document.write( "445280\r\n" );
document.write( "what is the surface area of 3 ft by 3 ft by 4 ft\r\n" );
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document.write( "https://www.algebra.com/algebra/homework/Surface-area/Surface-area.faq.question.445280.html\r\n" );
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document.write( "445280\r\n" );
document.write( "what is the surface area of 3 ft by 3 ft by 4 ft\r\n" );
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document.write( "https://www.algebra.com/algebra/homework/Surface-area/Surface-area.faq.question.445280.html\r\n" );
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document.write( "445381\r\n" );
document.write( "What are the solutions to\r\n" );
document.write( "6x+3y+z=19\r\n" );
document.write( "x-3y+2z=21\r\n" );
document.write( "17x-2y+3z=86\r\n" );
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document.write( "https://www.algebra.com/algebra/college/linear/Linear_Algebra.faq.question.445381.html\r\n" );
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document.write( "445895\r\n" );
document.write( "7 audio cassettes and 3 video cassettes cost rs 1110,while 5 audio cassettes and 4 video cassettes cost rs 1350 \r\n" );
document.write( "find the cost of an audio cassette and a video cassette\r\n" );
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document.write( "https://www.algebra.com/algebra/homework/coordinate/word/Linear_Equations_And_Systems_Word_Problems.faq.question.445895.html\r\n" );
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document.write( "443624\r\n" );
document.write( "Write the slope-intercept equation for the line that passes through (-7, 6) and is perpendicular to -7x + 9y = -2 \r\n" );
document.write( "Please show all of your work.\r\n" );
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document.write( "https://www.algebra.com/algebra/homework/Quadratic-relations-and-conic-sections/Quadratic-relations-and-conic-sections.faq.question.443624.html\r\n" );
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document.write( "\r\n" );
document.write( "443021\r\n" );
document.write( "Bayside insurance offers two health plans. \r\n" );
document.write( "Under plan A, Giselle would have to pay the first $100 of her medical bills plus 25% of the rest. \r\n" );
document.write( "Under plan B, Giselle would pay the first $160, but only 20% of the rest.\r\n" );
document.write( "For what amount of medical bills will plan B save Giselle money? assume she has over $160 in bills.\r\n" );
document.write( "Giselle would save with plan B if she had more than what in medical bills?\r\n" );
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document.write( "https://www.algebra.com/algebra/homework/percentage/percentage.faq.question.443021.html\r\n" );
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document.write( "\r\n" );
document.write( "444160\r\n" );
document.write( "My problem is this: A truck enters a highway driving 60mph. A car enters the highway at the same place 12 minutes later and drives 67mph in the same direction. How long before the car passes the truck?\r\n" );
document.write( "I have My Math Lab on coursecompass.com and it kind of explains the solving process but I seem to get lost at the end.\r\n" );
document.write( "I know that the problem needs to be set up with d(t)=60(t + 10) and d(c)=67t but after that I get lost. Please help.\r\n" );
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document.write( "https://www.algebra.com/algebra/homework/word/travel/Travel_Word_Problems.faq.question.444160.html\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "444146 \r\n" );
document.write( "6x - y = 39\r\n" );
document.write( "6x + 7y=33\r\n" );
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document.write( "https://www.algebra.com/algebra/homework/Expressions-with-variables/Expressions-with-variables.faq.question.444146.html\r\n" );
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document.write( "\r\n" );
document.write( "444555\r\n" );
document.write( "Solve. Please show the algebraic inequality you used and show all of your work.\r\n" );
document.write( "A furniture rental company charges a base rate plus a rate per day for an office furniture set. \r\n" );
document.write( "There are two available plans. The Super Saver Plan charges $100 + $5 per day. \r\n" );
document.write( "The Best Deal Plan charges $150 + $3 per day. \r\n" );
document.write( "How many days make the Super Saver Plan more expensive than the Best Deal Plan?\r\n" );
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document.write( "https://www.algebra.com/algebra/homework/Finance/Finance.faq.question.444555.html\r\n" );
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document.write( "\r\n" );
document.write( "444813 (50)\r\n" );
document.write( "I need to find the equation of the line containing (-2, -7) and (-5, -8)\r\n" );
document.write( "\r\n" );
document.write( "https://www.algebra.com/algebra/homework/Linear-equations/Linear-equations.faq.question.444813.html\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "440722\r\n" );
document.write( "Could someone please help me to graph the line containing the given pair of points and find the slope?\r\n" );
document.write( "(6,3), (-5,-2)\r\n" );
document.write( "\r\n" );
document.write( "https://www.algebra.com/algebra/homework/Graphs/Graphs.faq.question.440722.html\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "441209\r\n" );
document.write( "Bayside insurance offers two health plans. \r\n" );
document.write( "Under plan A, Giselle would have to pay the first $160 of her medical bills, plus 25% of the rest. \r\n" );
document.write( "Under plan B, Giselle would pay the first $240, but only 20% of the rest, \r\n" );
document.write( "for what amount of medial bills will plan B save Giselle money? Assume she has over $240 in bills\r\n" );
document.write( "\r\n" );
document.write( "https://www.algebra.com/algebra/homework/word/misc/Miscellaneous_Word_Problems.faq.question.441209.html\r\n" );
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document.write( "\r\n" );
document.write( "442300\r\n" );
document.write( "A boat traveled 210 miles downstream and back. The trip downstream took 10 hours. The trip back\r\n" );
document.write( "took 70 hours. What is the speed of the boat in still water? What is the speed of the current?\r\n" );
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document.write( "https://www.algebra.com/algebra/homework/word/numbers/Numbers_Word_Problems.faq.question.442300.html\r\n" );
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document.write( "\r\n" );
document.write( "442367\r\n" );
document.write( "20000$ is split into two investments one paying 5% and the other paying 6.5% to the nearest cent how much \r\n" );
document.write( "should be invested in each so the yearly interest from the 5% investment is double the interest from 6.5% investment\r\n" );
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document.write( "https://www.algebra.com/algebra/homework/word/finance/Money_Word_Problems.faq.question.442367.html\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "439388 \r\n" );
document.write( "Bayside insurance offers two health plans. \r\n" );
document.write( "Under plan a, Giselle would have to pay the first $70 of her medical bills, plus 35% of the rest. \r\n" );
document.write( "Under plan b, Giselle would have to pay the first $230 and 30% for of the rest. \r\n" );
document.write( "For what amount of medical bills will plan b save Giselle money?\r\n" );
document.write( "\r\n" );
document.write( "https://www.algebra.com/algebra/homework/Finance/Finance.faq.question.439388.html\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "437577\r\n" );
document.write( "Flying against a headwind, a plane covers 900 miles in 2 hours. The return trip with a tailwind only takes \r\n" );
document.write( "an hour and a half. Find the speed of the wind, and the speed of the plane within the air mass.\r\n" );
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document.write( "https://www.algebra.com/algebra/homework/word/travel/Travel_Word_Problems.faq.question.437577.html\r\n" );
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document.write( "\r\n" );
document.write( "437560\r\n" );
document.write( "Sarah hikes at 4 kilometers per hour from one end of a trail that is 34 km long. Amanda begins 1 hr laater \r\n" );
document.write( "at the other end. Walks toward sarah at 6 k/m. How long will it take for them to pass each other\r\n" );
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document.write( "https://www.algebra.com/algebra/homework/word/travel/Travel_Word_Problems.faq.question.437560.html\r\n" );
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document.write( "\r\n" );
document.write( "439419 \r\n" );
document.write( "A swimming pool holds 540,000 liters of water. THe pool has two drainage pipes. When the pool is completely full, \r\n" );
document.write( "the first pipe alone can empty it in 180 min, and the second pipe alone can empty it in 120 min. When both pipes \r\n" );
document.write( "are draining together, how long does it take them to empty the pool?\r\n" );
document.write( "\r\n" );
document.write( "https://www.algebra.com/algebra/homework/coordinate/word/Linear_Equations_And_Systems_Word_Problems.faq.question.439419.html\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "436823\r\n" );
document.write( "How long does it take $875 to double if it is invested at 8% compounded monthly?\r\n" );
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document.write( "https://www.algebra.com/algebra/homework/word/finance/Money_Word_Problems.faq.question.436823.html\r\n" );
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document.write( "\r\n" );
document.write( "436704 (60) \r\n" );
document.write( "A plane flies 1500 miles against the wind in 3 hours and 45 minutes. The return trip with the wind takes 3 hours. \r\n" );
document.write( "Assume that the wind speed stays constant. Find the speed of the wind and the speed of the airplane with no wind.\r\n" );
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document.write( "https://www.algebra.com/algebra/homework/word/misc/Miscellaneous_Word_Problems.faq.question.436704.html\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "437121\r\n" );
document.write( "Sue can shovel snow from her driveway in 30 mins. Jim can do the same job in 35 mins. \r\n" );
document.write( "how long would it take Sue and Jim to shovel the driveway if they worked together?\r\n" );
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document.write( "https://www.algebra.com/algebra/homework/playground/test.faq.question.437121.html\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "436132\r\n" );
document.write( "It takes 60 minutes to fill a pond with water alone.\r\n" );
document.write( "It takes 80 minutes to drain a pond of water alone.\r\n" );
document.write( "How long will it take to fill the pond while it is being drained at the same time?\r\n" );
document.write( "\r\n" );
document.write( "https://www.algebra.com/algebra/homework/Expressions-with-variables/Expressions-with-variables.faq.question.436132.html\r\n" );
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document.write( "\r\n" );
document.write( "436154\r\n" );
document.write( "A holding pen for cattle must be square and have a diagonal length of 140 meters.\r\n" );
document.write( "Find the length of a side of the pen?\r\n" );
document.write( "Find the area of the pen?\r\n" );
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document.write( "https://www.algebra.com/algebra/homework/word/misc/Miscellaneous_Word_Problems.faq.question.436154.html\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "434074\r\n" );
document.write( "The sum of the present ages of john and his father is 89 years. After 11 years the age of father will be \r\n" );
document.write( "twice the age of john at that time, find their present ages.\r\n" );
document.write( "\r\n" );
document.write( "https://www.algebra.com/algebra/homework/word/age/Age_Word_Problems.faq.question.434074.html\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "434148\r\n" );
document.write( "John and Brian leave Williston at the same time. John drives north and Brian drives east. John's average speed \r\n" );
document.write( "is 10 miles per hour slower than Brian's. At the end of one hour they are 50 miles apart. Find Brian's average speed.\r\n" );
document.write( "\r\n" );
document.write( "https://www.algebra.com/algebra/homework/word/travel/Travel_Word_Problems.faq.question.434148.html\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "434949\r\n" );
document.write( "What will be the future value in a year if $600 is invested at a rate of 15% compounded quarterly\r\n" );
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document.write( "https://www.algebra.com/algebra/homework/word/finance/Money_Word_Problems.faq.question.434949.html\r\n" );
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document.write( "\r\n" );
document.write( "434946 \r\n" );
document.write( "Bertha has 33 coins in her pocket totaling $5.25. If she only has nickles and quarters, how many of each type of coin does she have\r\n" );
document.write( "\r\n" );
document.write( "https://www.algebra.com/algebra/homework/word/coins/Word_Problems_With_Coins.faq.question.434946.html\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "435031\r\n" );
document.write( "$2000 total deposit with 2 savings accounts. One pays interest rate of 6%the other at rate of 8% \r\n" );
document.write( "if a total earned interest is $144 how much is each deposit\r\n" );
document.write( "\r\n" );
document.write( "https://www.algebra.com/algebra/homework/Graphs/Graphs.faq.question.435031.html\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "432879\r\n" );
document.write( "final amount of the investment if $8000 invested at 6% compounded quarterly for 6 years\r\n" );
document.write( "\r\n" );
document.write( "https://www.algebra.com/algebra/homework/word/finance/Money_Word_Problems.faq.question.432879.html\r\n" );
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document.write( "\r\n" );
document.write( "433975 (70)\r\n" );
document.write( "A long distance runner started on a course running at an average speed of 6 mph. one-half hour later, \r\n" );
document.write( "a second runner began the same course at an average speed of 7mph. How long after the second runner \r\n" );
document.write( "started did the second runner overtake the first runner?\r\n" );
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document.write( "https://www.algebra.com/algebra/homework/word/travel/Travel_Word_Problems.faq.question.433975.html\r\n" );
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document.write( "\r\n" );
document.write( "433981\r\n" );
document.write( "10 gallons of a 15.0% alcohol solution are to be mixed with a 28.0% alcohol solution to make a 20.0% alcohol solution. \r\n" );
document.write( "How many gallons of a 28.0% alcohol must be used? How many gallons of a 20.0% alcohol solution are made?\r\n" );
document.write( "\r\n" );
document.write( "https://www.algebra.com/algebra/homework/word/mixtures/Mixture_Word_Problems.faq.question.433981.html\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "434087\r\n" );
document.write( "Solve this equation by sustitution\r\n" );
document.write( "x=8-4y\r\n" );
document.write( "2x-3y=13\r\n" );
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document.write( "https://www.algebra.com/algebra/homework/coordinate/Linear-systems.faq.question.434087.html\r\n" );
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document.write( "\r\n" );
document.write( "431703\r\n" );
document.write( "One plane traveled 800 miles in the same time a second plane traveled 1,000 miles. The rate of the second plane was \r\n" );
document.write( "50 mi/h faster than the rate of the first plane. How fast did each plane fly?\r\n" );
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document.write( "https://www.algebra.com/algebra/homework/word/travel/Travel_Word_Problems.faq.question.431703.html\r\n" );
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document.write( "\r\n" );
document.write( "430695 \r\n" );
document.write( "write and equation of the line containing the points (3,-1) and is parallel to 8x-7y=9\r\n" );
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document.write( "https://www.algebra.com/algebra/homework/Linear-equations/Linear-equations.faq.question.430695.html\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "430837 \r\n" );
document.write( "x^2+8x+15>=0\r\n" );
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document.write( "https://www.algebra.com/algebra/homework/Graphs/Graphs.faq.question.430837.html\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "431238\r\n" );
document.write( "which equation represents a line that passes through the points (2,3) and (-1, -3)?\r\n" );
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document.write( "https://www.algebra.com/algebra/homework/Linear-equations/Linear-equations.faq.question.431238.html\r\n" );
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document.write( "\r\n" );
document.write( "431339\r\n" );
document.write( "how do u find the midpoint of the line segment of (10,-10),(9,-9)?\r\n" );
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document.write( "https://www.algebra.com/algebra/homework/Linear-equations/Linear-equations.faq.question.431339.html\r\n" );
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document.write( "\r\n" );
document.write( "430008\r\n" );
document.write( "A developer needs $80,000 to buy land. He is able to borrow the money at 7% compounded quarterly. \r\n" );
document.write( "How much interest will be paid on the loan if it is paid off in 5 years? (To the nearest dollar, do not include the $)\r\n" );
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document.write( "https://www.algebra.com/algebra/homework/Finance/Finance.faq.question.430008.html\r\n" );
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document.write( "428476 \r\n" );
document.write( "Flying from Tokyo to London is approximately 6175 miles. On the way to London from Tokyo(against the wind) the flight \r\n" );
document.write( "took 13 hours. the return flight (with the wind) took 9.88 hours. Find the speed of the plane in still air and the \r\n" );
document.write( "speed of the wind current.\r\n" );
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document.write( "https://www.algebra.com/algebra/homework/Linear-equations/Linear-equations.faq.question.428476.html\r\n" );
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document.write( "\r\n" );
document.write( "430019 (80)\r\n" );
document.write( "Could anyone help me with the following?\r\n" );
document.write( "What would be the semiannual interest payment on a $24,000 Proctor and Gamble 10-year bond at 6.875%? (round to the nearest dollar)\r\n" );
document.write( "and...\r\n" );
document.write( "What would be total amount of interest earned on a $24,000 Proctor and Gamble 10-year bond at 6.875% over the entire life of the bond?\r\n" );
document.write( "Thank you in advance!!\r\n" );
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document.write( "https://www.algebra.com/algebra/homework/Finance/Finance.faq.question.430019.html\r\n" );
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document.write( "\r\n" );
document.write( "430373\r\n" );
document.write( "Can anyone help me with the following?\r\n" );
document.write( "If you deposit $2500 in an account paying 4.5% interest compounded semiannually, how much will be in the account after 8 years? (Round to the nearest cent)\r\n" );
document.write( "Thank you!!\r\n" );
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document.write( "https://www.algebra.com/algebra/homework/Finance/Finance.faq.question.430373.html\r\n" );
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document.write( "\r\n" );
document.write( "418623\r\n" );
document.write( "If the sum of the lengths of the edges of a cube is 48 inches, the volume of the cube is?\r\n" );
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document.write( "https://www.algebra.com/algebra/homework/word/geometry/Geometry_Word_Problems.faq.question.418623.html\r\n" );
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document.write( "419077\r\n" );
document.write( "Dave Horn invested half of his money at 5%, one-third of his money at4%, and the rest at 3.5%. \r\n" );
document.write( "If his total annual investment income is $530, how much had he invested?\r\n" );
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document.write( "https://www.algebra.com/algebra/homework/word/finance/Money_Word_Problems.faq.question.419077.html\r\n" );
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document.write( "419129 \r\n" );
document.write( "A glue company needs to make some glue tat it can sell at $120 per barrel. It wants to use 150 barrels of glue \r\n" );
document.write( "worth $100 per barrel, along with glue worth $150 per barrel and glue worth $190 per barrel. It must use \r\n" );
document.write( "the same number of barrels of $150 and $190 glue. How much of the $150 and $190 glue will be needed?\r\n" );
document.write( "How many Barrels of $120 glue will be produced?\r\n" );
document.write( "\r\n" );
document.write( "https://www.algebra.com/algebra/homework/coordinate/word/Linear_Equations_And_Systems_Word_Problems.faq.question.419129.html\r\n" );
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document.write( "419040 \r\n" );
document.write( "The current of a river is 2 miles per hour. A boat travels to a point 8 miles upstream and back again in 3 hours.\r\n" );
document.write( "What is the speed of the boat in still water?\r\n" );
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document.write( "https://www.algebra.com/algebra/homework/word/travel/Travel_Word_Problems.faq.question.419040.html\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "419037\r\n" );
document.write( "The speed of a boat in still water is 5 miles per hour. If the boat travels 3 miles downstream in the same amount \r\n" );
document.write( "of time it takes to travel 1.5 miles upstream, what is the speed of the current?\r\n" );
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document.write( "https://www.algebra.com/algebra/homework/word/travel/Travel_Word_Problems.faq.question.419037.html\r\n" );
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document.write( "419685\r\n" );
document.write( "Hi tutor, i do not get this question what so ever. It his a problem solving, algebraic question. I really need help. \r\n" );
document.write( "It would be greatly appreciated, thank you so much, may god bless you. Q : 500 tickets for a football game were sold \r\n" );
document.write( "and the total receipts were $105. Some of the tickets sold for $15 and the rest sold for 25cents. Find the number \r\n" );
document.write( "of each sold. ( i am required too provide a equation/formula , write a table i already have that set up : i have it as ticket 1 & ticket two & value, number and amount. & i also would greatly appreciate if you show the work as too how you got the answers, so i can learn from it. Thank you so much.\r\n" );
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document.write( "https://www.algebra.com/algebra/homework/word/coins/Word_Problems_With_Coins.faq.question.419685.html\r\n" );
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document.write( "\r\n" );
document.write( "420019\r\n" );
document.write( "what is the slope-intercept form that contains the points (3,7) and (3,5)\r\n" );
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document.write( "https://www.algebra.com/algebra/homework/Linear-equations/Linear-equations.faq.question.420019.html\r\n" );
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document.write( "420867 \r\n" );
document.write( "If I have a 20 qt radiator containing a 80% antifreeze solution. How much of the solution should I drain \r\n" );
document.write( "and replace with pure water to get a solution that is 50% antifreeze?\r\n" );
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document.write( "https://www.algebra.com/algebra/homework/word/evaluation/Evaluation_Word_Problems.faq.question.420867.html\r\n" );
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document.write( "421830 (90)\r\n" );
document.write( "-4x-2y=-8 y=-2x+4\r\n" );
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document.write( "algebra.com/algebra/homework/Expressions-with-variables/Expressions-with-variables.faq.question.421830.html\r\n" );
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document.write( "421840\r\n" );
document.write( "Solve each system of equations using the substitution method.\r\n" );
document.write( "4x - y = 32y = -2 x + 70\r\n" );
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document.write( "https://www.algebra.com/algebra/homework/Matrices-and-determiminant/Matrices-and-determiminant.faq.question.421840.html\r\n" );
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document.write( "422281\r\n" );
document.write( "I'm trying to solve when a man knows he has lost 12.4 percent of his weight, and now weighs 249.6. \r\n" );
document.write( "What was his starting weight?\r\n" );
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document.write( "423336 \r\n" );
document.write( "A liter of orange fruit drink contains 22% orange juice. How many millimeters of orange juice must be added \r\n" );
document.write( "to produce a mixture containing 50% orange juice?\r\n" );
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document.write( "423677\r\n" );
document.write( "what is the equation of a line that passes through (-5, 1) and is parallel to y = x + 4 ?\r\n" );
document.write( "please show steps to help me understand\r\n" );
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document.write( "https://www.algebra.com/algebra/homework/Linear-equations/Linear-equations.faq.question.423677.html\r\n" );
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document.write( "423206 \r\n" );
document.write( "solving linear systems using substitution, what is\r\n" );
document.write( "4x-7y=10\r\n" );
document.write( "y=x-7\r\n" );
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document.write( "https://www.algebra.com/algebra/homework/Systems-of-equations/Systems-of-equations.faq.question.423206.html\r\n" );
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document.write( "423288\r\n" );
document.write( "An airplane flew for 3 hours with a tail wind of 18 kilometers per hour. The return flight against the wind took 4 hours. Find the rate of the plane in still air.\r\n" );
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document.write( "424727 \r\n" );
document.write( "Children's tickets to a movie cost $4. Adult tickets cost $7. If 275 tickets were sold for a total cost of $1174, \r\n" );
document.write( "how many of each type were sold?\r\n" );
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document.write( "https://www.algebra.com/algebra/homework/coordinate/word/Linear_Equations_And_Systems_Word_Problems.faq.question.424727.html\r\n" );
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document.write( "426400\r\n" );
document.write( "It takes a freight train 3 hours more to travel 280 miles than it takes an express train to travel 200 miles. \r\n" );
document.write( "The rate of the express is 10 miles per hour faster the the rate of the freight train. Fine the rates of both trains.\r\n" );
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document.write( "https://www.algebra.com/algebra/homework/word/travel/Travel_Word_Problems.faq.question.426400.html\r\n" );
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document.write( "425874 (99)\r\n" );
document.write( "a lion devours a sheep in 4 hours. a leopard devours a sheep in 5 hours. a bear devours a sheep in 6 hours. \r\n" );
document.write( "how long will it take the three animals eating simultaneously to consume a single sheep?\r\n" );
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document.write( "https://www.algebra.com/algebra/homework/word/misc/Miscellaneous_Word_Problems.faq.question.425874.html\r\n" );
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document.write( "You may ask me - ok, @mananth is a computer code, or AI - what does it change ?\r \n" );
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document.write( "Ok, below are my thoughts and my suggestions about it.\r \n" );
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document.write( "(1) First, 10% wrong solutions is too much for an AI.\r\n" );
document.write( " You may say \"ok, in 20 years it will be perfect\".\r\n" );
document.write( " Probably, it can be true, but I tell you about what I see now.\r\n" );
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document.write( " By the way, my feeling is that good AI acceptable level for wrong solutions\r\n" );
document.write( " should be at most 1:1000, or 0.1%.\r\n" );
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document.write( "(2) Second, it can be perfect in 20 years under one necessary condition: \r\n" );
document.write( " the best minds in Math solving and writing and the best computer programming specialists \r\n" );
document.write( " will work on it starting from now and during 20 years.\r\n" );
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document.write( " What does it mean and why ? - Raising and educating a specialist in solving Math, writing Math \r\n" );
document.write( " and explaining Math takes 10 - 15 - 20 years to get a professional level, when a person can speak, \r\n" );
document.write( " write and teach professionally. (And, usually, the fingers of one hand are enough \r\n" );
document.write( " to count such specialists of a national level in each country and in each generation).\r\n" );
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document.write( " If you make such experiments with the novices, it will take 10-15-20 years for them to get a professional \r\n" );
document.write( " level before they will learn to speak/write at the professional level, so it is a WRONG way to assign \r\n" );
document.write( " novices for key positions for such an activity.\r\n" );
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document.write( " It is the second conclusion from my arguments: the writers and the content creators must be professionals\r\n" );
document.write( " from the very beginning. Neither @mananth, nor @CPhill are such professionals.\r\n" );
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document.write( "(3) Third, the computer codes which I see in the posts by @CPhill or @mananth, have no that level of flexibility\r\n" );
document.write( " to serve at the adequate level. So, the level of the computer coders must be at least one order (one level) higher.\r\n" );
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document.write( "(4) Fourth, the writing, coding and programming discipline must be changed.\r\n" );
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document.write( " For now, the AI codes for solving school Math problems that I saw so far, do not show a tendency \r\n" );
document.write( " to make checks of their solutions. They do not think that is is MANDATORY. It is a crude error, which must be fixed.\r\n" );
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document.write( "(5) Next. As the life has taught me, many of incoming problems are mathematically non-sensical.\r\n" );
document.write( " So, the input flow is quite dirty, and therefore, idiotic incoming problems should be filtered out.\r\n" );
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document.write( "OK. So, these are conclusions and directions from my overview that should be taken into account by developers of AI, \n" );
document.write( "if they want to have a perfect product in 20 years.\r \n" );
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document.write( "OK and very good.\r \n" );
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document.write( "There is one more issue, which I hesitate to pronounce.\r \n" );
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document.write( "It is well known fact that the peak in Math education in the world (in all industrially \n" );
document.write( "developed countries) was from the middle of 1950s to, roughly say, 1970. \n" );
document.write( "After that peak, the recession of the level of Math education was observed worldwide.\r \n" );
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document.write( "So and therefore, the specialists who are able to communicate with young students, \n" );
document.write( "to speak with them, to teach them Math, to inspire them and who got their Math education at that time, \n" );
document.write( "have a special value. People of this generation are quite old and will go out soon - \n" );
document.write( "so and therefore, it is of great importance, great necessity and high urgency to use the experience \n" );
document.write( "of those of them, who still have a potential to share their knowledge, skills, style, tone, spirit and abilities.\r \n" );
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document.write( "When these people will go out totally, it will be too late.\r \n" );
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