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 Inequalities/119579: could you please solve this 6/5 + 3/(2x) = 7/(15)1 solutions Answer 87695 by ankor@dixie-net.com(15652)   on 2008-01-11 15:03:27 (Show Source): You can put this solution on YOUR website! + = : Find a common denominator and multiply equation by that. 30x would do the job: 30x* + 30x* = 30x* : Cancel out the denominators and you have 6x(6) + 15(3) = 2x(7) : 36x + 45 = 14x : 36x - 14x = - 45 : 22x = -45 x = : Checked solution using a calc: (6/5) + (3/(2(-45/22))) = .466667 and (7/15) = .466667; confirms our solution
 decimal-numbers/119573: This question is from textbook Math Trailblazers Can you explain how 0.327 is less than 0.37?1 solutions Answer 87694 by ankor@dixie-net.com(15652)   on 2008-01-11 14:40:23 (Show Source): You can put this solution on YOUR website!Can you explain how 0.327 is less than 0.37? : How about subtracting .327 from .37? Would that clarify things? add a zero to .37 and line up the decimals 0.370 0.327 ------ 0.143; We can say, ".37 is .143 greater than .327"
 Age_Word_Problems/119605: Five years ago, my age was half of the age I will be in 8 years. How old I am now?1 solutions Answer 87693 by ankor@dixie-net.com(15652)   on 2008-01-11 14:32:36 (Show Source): You can put this solution on YOUR website!Five years ago, my age was half of the age I will be in 8 years. How old I am now? : Let x = present age then (x-5) = age 5 yrs ago and (x+8) = age in 8 yrs : write an equation for the statement: "Five years ago, my age was half of the age I will be in 8 years." (x-5) = .5(x+8) x - 5 = .5x + 4 x -.5x = 4 + 5 .5x = 9 x = 9/.5 x = 18 yrs is the present age : Check solution in the above statement: 13 = .5*26
 Equations/119584: Can you help me solve this equation please? 1. 9/x = 4/3x + 1 x = ? 1 solutions Answer 87690 by ankor@dixie-net.com(15652)   on 2008-01-11 14:24:05 (Show Source): You can put this solution on YOUR website!1. 9/x = 4/3x + 1 : Assume you mean: = x + 1 : Multiply equation by 3x to get rid of the denominators: 3x* = 3x*x + 3x(1) : Cancel out the denominators and you have: 3(9) = x(4x) + 3x 27 = 4x^2 + 3x : Arrange as a quadratic equation: 4x^2 + 3x - 27 = 0 : Factor this to: (x + 3)(4x - 9) = 0 Two solutions x = -3 and 4x = +9 x = x = 2.25 ; : Check solution in original equation using x = +2.25: = 2.25 + 1 4 = 3 + 1:; confirms our solutlio : You can check the x = -3 solution : : If I have misinterpreted this problem, it's = + 1 then this is a whole difference animal and will have to be done over. Let me know.
 Inequalities/119580: six less than a number is between (-3) and 11 What real numbers are possible solutions ?1 solutions Answer 87688 by ankor@dixie-net.com(15652)   on 2008-01-11 13:49:12 (Show Source): You can put this solution on YOUR website!six less than a number is between (-3) and 11 What real numbers are possible solution : Write an inequality for the given upper and lower limits : x - 6 < 11 x < 11 + 6 x < 17 and x - 6 > -3 x = -3 + 6 x > +3 : x = all real numbers greater than +3 and below +17
 Radicals/119596: I am given a square and it asks me to find the area using the area formula. The length is and the width is How do I find the area?1 solutions Answer 87659 by ankor@dixie-net.com(15652)   on 2008-01-11 09:39:31 (Show Source): You can put this solution on YOUR website!The length is 8sqrt(3) and the width is 2sqrt(5). : Just multiply the outside numbers, and the numbers inside the radical: * = =
 Equations/119588: Can you help me solve this equation? P = 2L + 2w w = 1 solutions Answer 87654 by ankor@dixie-net.com(15652)   on 2008-01-11 09:25:21 (Show Source): You can put this solution on YOUR website!P = 2L + 2W; solve for W : We can also write it: 2L + 2W = P : Subtract 2L from both sides: 2W = P - 2L : Divide both sides by 2 and you have: W = - L
 Evaluation_Word_Problems/119577: This question is from textbook Algebra Structure and Method Solve by the substitution method 3d+e over 4 = d+1 over 2 d-e over 4 = 1 If anyone can answer this problem I would greatly appreciate it. Please and Thank You1 solutions Answer 87653 by ankor@dixie-net.com(15652)   on 2008-01-11 09:12:43 (Show Source): You can put this solution on YOUR website!Solve by the substitution method 3d+e over 4 = d+1 over 2 d-e over 4 = 1 ; = Cross multiply and you have: 2(3d+e) 4(d+1) 6d + 2e = 4d + 4 6d - 4d + 2e = 4 2d + 2e = 4 Simplify, divide by 2: d + e = 2 e = (2-d); Use this for substitution : = 1 Multiply equation by 4 to get rid of that annoying denominator, we have: d - e = 4 : Substitute (2-d) for e in the above equation: d - (2 - d) = 4 d - 2 + d = 4 2d = 4 + 2 2d = 6 d = 3 : Find e substituting 3 for d in equations; e = (2 - d) e = 2 - 3 e = -1 : : Check solutions in the original 1st equation: = = = ; confirms our solutions : You can check solution in the original 2nd equation
 Age_Word_Problems/119612: Angelo, Brandon, and Carl work in the same office. Angelo's age is 4 years more than twice Carl's age. Brandon is 5 years younger than Carl. The average of the 3 ages is 41. Find the age of each of the men.1 solutions Answer 87613 by ankor@dixie-net.com(15652)   on 2008-01-10 20:17:40 (Show Source):
 Travel_Word_Problems/119375: john traveled 40 mph to his friends house on the return trip back home he traveled 45 mph It took him 4hrs round trip Question: What was the total distance traveled? Thank you1 solutions Answer 87611 by ankor@dixie-net.com(15652)   on 2008-01-10 20:06:08 (Show Source): You can put this solution on YOUR website!john traveled 40 mph to his friends house on the return trip back home he traveled 45 mph It took him 4 hrs round trip Question: What was the total distance traveled? : Let d = distance one way: : Write a time equation; Time = dist/speed ; Time at 40mph + time at 45 mph = 4 hrs : + = 4 : Multiply equation by; 40*45 = 1800; gets rid of the denominators: 1800* + 1800* = 1800(4) : 45d + 40d = 7200 : 85d = 7200 d = d = 84.7 miles, one way distance : 2*84.7 = 169.4 total miles : : Check our solution: + = 2.1175 + 1.88 = 3.997 ~ 4 hrs
 Polynomials-and-rational-expressions/119534: hi im really lost in my math class and my teacher isnt a very big help can you please explain how to simplify these expression thanks a million!:) 2 5 5x + 15 + x+3 x+2 6 x squared +4x +3 - x+31 solutions Answer 87587 by ankor@dixie-net.com(15652)   on 2008-01-10 17:00:52 (Show Source): You can put this solution on YOUR website!Assume you mean: + : We can factor the 1st denominator + : The common denominator is 5(x+3), so we have: = : ; : - : The first denominator will factor here also: - : The common denominator will be (x+1)(x+3), right? = = : : Did this help? Do you understand this now? Let me know. :
 Polynomials-and-rational-expressions/119506: ________________ -a+3)a^3 -8a -3 This is how my promble is written. Please show me your work so i can understand how you got the answer! Can use all the help I can get!!! Thank you very much!!1 solutions Answer 87560 by ankor@dixie-net.com(15652)   on 2008-01-10 15:14:00 (Show Source): You can put this solution on YOUR website!Assuming you mean this is set up for long division: : .........______________ -a+3 ) a^3 - 8a - 3 : each degree of the expression has to be represents, add 0x^2 : .........____________________ -a+3 ) a^3 + 0a^2 - 8a - 3 : Long division, used "...." to keep things lined up Note that the that -a^2 * -a = +a^3 : ......................-a^2 - 3a - 1 .........------------------- -a+3 ) a^3 + 0a^2 - 8a - 3 ............a^3 - 3a^2 ...........------------- .......................+3a^2 - 8a ........................+3a^2 - 9a .......................------------ .......................................1a - 3 .......................................1a - 3 .......................................-------- ...............................................0 : Can you do this now? Any questions?
 Inequalities/119438: This question is from textbook Algebra 1 You earned the following scores on five science tests: 75,82,90,84, and 71. You want to have an average score of at least 80 after you take the sixth test. a. Write and solve an inequality to find the possible scores that you can earn on your sixth test in order to meet your goal. b. the greatest score you can earn on a test is 100. Is it possible for you to have an average score of 90 after the sixth test? Explain you reasoning.1 solutions Answer 87515 by ankor@dixie-net.com(15652)   on 2008-01-10 08:29:14 (Show Source): You can put this solution on YOUR website!You earned the following scores on five science tests: 75,82,90,84, and 71. You want to have an average score of at least 80 after you take the sixth test. : a. Write and solve an inequality to find the possible scores that you can earn on your sixth test in order to meet your goal. : Let x = the required score to have an average of at least 80 => 80 : Multiply equation by 6 to get rid of the denominator, add up the scores 402 + x = 6(80) x => 480 - 402 x => 78 required for at least an 80 : b. the greatest score you can earn on a test is 100. Is it possible for you to have an average score of 90 after the sixth test? Explain you reasoning. : Not possible, none of the 5 scores are above 90 : To confirm this, you can use the above equation: substitute 100 for x and see what the average is = 83.67
 Age_Word_Problems/119417: Hi, I need help on this age word problem. How old am I if 400 reduced by 2 times my age is 244?1 solutions Answer 87496 by ankor@dixie-net.com(15652)   on 2008-01-09 21:12:54 (Show Source): You can put this solution on YOUR website!How old am I if 400 reduced by 2 times my age is 244? : A simple equation will do it: 400 - 2x = 244 -2x = 244 - 400 -2x = -156 x = -156/-2 x = +78 an old guy
 Angles/119342: two angles are supplementary. One angle measures 30 less than twice the other. What are the measures of the angles?1 solutions Answer 87494 by ankor@dixie-net.com(15652)   on 2008-01-09 21:07:25 (Show Source): You can put this solution on YOUR website!"two angles are supplementary." This means the sum of the two angle = 180 degrees : One angle measures 30 less than twice the other. Let one angle = x the other angle = (2x-30) : What are the measures of the angles? x + (2x-30) = 180 3x = 180 + 30 3x = 210 x = 210/3 x = 70 degrees : The other angle = 2(70) - 30 = 110 degrees : 70 + 110 = 180 as you would expect
 Expressions-with-variables/119347: Solve and check each of the following equations for x. more complicated and im thinking too much. thank you for helping me. x/x-2 - x+1/x = 8/x^2-2x1 solutions Answer 87491 by ankor@dixie-net.com(15652)   on 2008-01-09 20:52:13 (Show Source): You can put this solution on YOUR website!Solve and check each of the following equations for x. more complicated and im thinking too much. thank you for helping me. : The problem as I see it: - = Note that on the last denominator we can factor out x: - = : Our common denominator will be x(x-2); Multiple equation by this x(x-2)* - x(x-2)* = x(x-2)* : Cancel out the denominators and you have: x(x) - (x-2)(x+1) = 8 : x^2 - (x^2 - x - 2) = 8; FOILed (x-2)(x+1) : x^2 - x^2 + x + 2 = 8; removed the brackets, changed the signs : x = 8 - 2 : x = 6 : : Check our solution in the original equation: - = Substitute 6 for x - = - = Put all fraction over 24: - = ; confirms our solution : : Did you have any problem understanding what we did here? Let me know
 Signed-numbers/119405: This question is from textbook Mathematics concepts and skills practice workbook A rectangle has a perimeter of 78 inches. Its length is 6 inches more than twice its width. a. make a sketch of the rectangle and label its sides b. find the recangle's length and width. I tried doing this but it gets me confused. I did: 78=2w+6 72=2w Then I'm just lost. If i continue, the perimeter doesnt add up. Please help! 1 solutions Answer 87484 by ankor@dixie-net.com(15652)   on 2008-01-09 19:54:23 (Show Source): You can put this solution on YOUR website!A rectangle has a perimeter of 78 inches. Its length is 6 inches more than twice its width. a. make a sketch of the rectangle and label its sides b. find the recangle's length and width. I tried doing this but it gets me confused. I did: 78=2w+6 72=2w Then I'm just lost. If i continue, the perimeter doesnt add up. Please help! : Let's start over: Let x = width It said the length is 6" more the twice the width therefore: (2x+6) = length : You know: 2L + 2W = 78 Substitute (2x+6) for L and x for W: 2(2x+6) + 2x = 78 4x + 12 + 2x = 78 6x = 78 - 12 6x = 66 x = 66/6 x = 11" is the width then 2(11) + 6 = 28" is the length : : Check our perimeter 2(28) + 2(11) = 56 + 22 = 78; confirms our solution : : I think using x in these problems reduces the confusion factor, but you could use w throughout if you prefer that ,
 Inequalities/119358: will you help me with these three problems? 6y+10>8-(y+14) 4.6(x-3.4)>5.1x -5x-(2x+3)>11 solutions Answer 87482 by ankor@dixie-net.com(15652)   on 2008-01-09 19:44:18 (Show Source): You can put this solution on YOUR website!6y + 10 > 8-(y+14) Remove the bracket (neg outside the bracket changes the signs), and you have: 6y + 10 > 8 - y - 14 6y + 10 > -y - 6 : Combine the y's on the left and the numbers on the right 6y + y > -6 - 10 7y > -16 y > : : 4.6(x-3.4) > 5.1x Multiply what is inside the brackets: 4.6x - 15.64 > 5.1x 4.6x - 5.1x > +15.64 -.5x > 15.64 : x has to be positive; multiply equation by -1; this reverses the inequality sign +.5x < -15.64 x < x < -32.28 : : -5x -(2x+3) > 1 Remove the brackets -5x - 2x - 3 > 1 -7x > 1 + 3 -7x > 4 : x has to be positive; multiply equation by -1; this reverses the inequality sign 7x < -4 x < : Did this help you understand this stuff?
 Equations/119385: The combined resistance of two resistors R1 and R2 in a parallel circuit is given by the formula Rt= 1 divided by 1/r1+1/r1 simplify the formula. woosh over my head!1 solutions Answer 87477 by ankor@dixie-net.com(15652)   on 2008-01-09 19:04:35 (Show Source): You can put this solution on YOUR website!The combined resistance of two resistors R1 and R2 in a parallel circuit is given by the formula Rt= 1 divided by 1/r1+1/r1 simplify the formula. : Rt = : Put the two fractions in denominator, over a single common denominator; (R1*R2) Rt = : Invert the dividing fraction and multiply Rt = 1 * Which is: Rt = : Did this bring it down to earth?