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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 You 1 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): You can put this solution on YOUR website! A

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 you 1 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+3 1 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^2-2x 1 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)>1 1 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?

Polynomials-and-rational-expressions/119372: Can you please help me with this problem?: The formula for the surface are of a sphere is A=4pir^2. A square sticker of side x is placed on a ball of radius 3x. What is the surface areaof the not covered by the sticker? Please Write your answer in factored form. Thanks! 1 solutions Answer 87474 by ankor@dixie-net.com(15652)   on 2008-01-09 18:47:17 (Show Source): You can put this solution on YOUR website! The formula for the surface are of a sphere is A=4pir^2. A square sticker of side x is placed on a ball of radius 3x. What is the surface area of the not covered by the sticker? Please Write your answer in factored form. : Sphere area - sticker area = uncovered area - Substitute 3x for r Multiply 9*4 Factor out x^2

Equations/119349: How do you solve this equation? I think you have to multiply one of them by a negative and add them together, but I'm unsure. Please advise. 2x + 3y = 4 3x + 2y = 6 1 solutions Answer 87446 by ankor@dixie-net.com(15652)   on 2008-01-09 16:49:46 (Show Source): You can put this solution on YOUR website! 2x + 3y = 4 3x + 2y = 6 : Adding these will not help anything. We want the value of x or y in both equations to be equal, they can have opposite signs, then we can add, or same signs we can subtract : Lets try to get y to have the same value Mult equation 1 by 2, and equation 2 by 3: : 4x + 6y = 8 9x + 6y = 18 -----------------subtracting will eliminate y, we can solve for x -5x + 0y = -10 +5x = +10; multiplied both side by -1 to get rid of the negatives x = 10/2 x = 5 : Use the 1st original equation to find y. Substitute 5 for x 2(5) + 3y = 4 10 + 3y = 4 3y = 4 - 10 3y = -6 y = -6/3 y = -2 : Use the 2nd original equation to confirm out solutions 3x + 2y = 6 3(5) + 2(-2) = 10 - 4 = 10 confirms our solution : : Did this help you?

Exponents/119223: This question is from textbook Glencoe Mathimatics Pre-Algebra How do you solve 1 over p to the 4th power? 1 solutions Answer 87424 by ankor@dixie-net.com(15652)   on 2008-01-09 14:53:07 (Show Source): You can put this solution on YOUR website! How do you solve 1 over p to the 4th power? : You can't, to solve something it has have an equal sign, (equal to something) : For example if you had: = 4096 : Find the 4th root of both sides = : = 8: (You can see that 8^4 = 4096) : Multiply both sides by p : 8p = 1 : p = : p = .125 : : If you substitute .125 for p in the original equation, you can see you will have = 8 therefore 8^4 = 4096; which we know is true : Did this enlighten you somewhat?

Quadratic_Equations/119082: please solve this using quadratic equatin with factoring method m^2/18 - m/6 - 1 = 0 1 solutions Answer 87418 by ankor@dixie-net.com(15652)   on 2008-01-09 14:31:35 (Show Source): You can put this solution on YOUR website! Assume you mean to solve this using the factoring method - - 1 = 0 : Get rid of the denominator; multiply equation by 18 (every term * 18); results: m^2 - 3m - 18 = 0 : This factors easily to: (m - 6)(m + 3) = 0 : m = +6 and m = -3 : : Check this by substitution in the original equation using m = -3 - - 1 = 0 - - 1 = + - 1 = 0 : You can check the m=+6 solution

Travel_Word_Problems/119288: Mr. Santos travelled for 2 hours at a constant speed. Because of potholes, he reduced his speed by 7km per hour for the next 2 hours. if he travelled 206 km, what was his speed on the first part of the trip. 1 solutions Answer 87403 by ankor@dixie-net.com(15652)   on 2008-01-09 13:58:37 (Show Source): You can put this solution on YOUR website! Traveled for 2 hours at a constant speed. he reduced his speed by 7 km per hour for the next 2 hours. if he traveled 206 km, what was his speed on the first part of the trip. : Let s = speed for the 1st part of the trip Then (s-7) = speed for the 2nd part of the trip : Write a distance equation: Dist = time * speed : Fast dist + slow dist = 206 km 2s + 2(s-7) = 206 : 2s + 2s - 14 = 206 : 4s = 206 + 14 : 4s = 220 : s = s = 55 km/hr, speed on the 1st part of the trip : : Check solution of s = 55 2(55) + 2(48) = 110 + 96 = 206; confirms our answer

Polynomials-and-rational-expressions/119321: a water faucet can fill a sink in 6 minutes, whereas the drain can empty it in 4 minutes. if the sing is full, how long will it take to empty if both the faucet and the drain are open? 1 solutions Answer 87401 by ankor@dixie-net.com(15652)   on 2008-01-09 13:44:08 (Show Source): You can put this solution on YOUR website! A water faucet can fill a sink in 6 minutes, whereas the drain can empty it in 4 minutes. if the sing is full, how long will it take to empty if both the faucet and the drain are open? : Let t = time for this to occur Let the empty sink = 1 : - = 1 : Get rid of the denominators, multiply equation by 12 12* - 12* = 12(1) : Cancel out the denominators and you have: 3t - 2t = 12 : t = 12 min : : Check in original equaiton: - = 3 - 2 = 1; confirms our solution of t = 12 : : That was pretty easy, right?

Numbers_Word_Problems/119280: One number is 5 greater than another number. If The sum of their squares is 5 times the square of the smaller number, what are the numbers? 1 solutions Answer 87400 by ankor@dixie-net.com(15652)   on 2008-01-09 13:34:50 (Show Source): You can put this solution on YOUR website! One number is 5 greater than another number. If The sum of their squares is 5 times the square of the smaller number, what are the numbers? : Let x = "One number" then (x-5) = "another number"; (assume it is the smaller number) : "If The sum of their squares is 5 times the square of the smaller number," x^2 + (x-5)^2 = 5(x-5)^2 : Subtract (x-5)^2 from both sides: x^2 = 5(x-5)^2 - (x-5)^2 : x^2 = 4(x-5)^2 : x^2 = 4(x^2-10x+25) : x^2 = 4x^2 - 40x + 100 : 3x^2 - 40x + 100 = 0; subtracted x^2 from both sides : Factor this to: (3x - 10)(x - 10) = 0 : x = and x = 10; the integer solution is what we want here. : "what are the numbers?" : numbers are 10 and 5 : : Check solution using the statement: "If The sum of their squares is 5 times the square of the smaller number, 10^2 + 5^2 = 5(5^2) 100 + 25 = 5(25); confirms our solution : Note the other solution x = 10/3 may also be a valid answer since they did not specify that they had to be integers. Check that out.

Numbers_Word_Problems/119285: the denominator of a fraction is 5 more than the numerator. if 5 is added to the numerator and 2 is added to the denominator, the value of the fraction is 8/9. find the original fraction. 1 solutions Answer 87392 by ankor@dixie-net.com(15652)   on 2008-01-09 13:00:34 (Show Source): You can put this solution on YOUR website! Let x = original numerator : Just write an expression for what it says: : "the denominator of a fraction is 5 more than the numerator." : "if 5 is added to the numerator and 2 is added to the denominator,: = : "the value of the fraction is 8/9." = : " find the original fraction." : Cross multiply and solve for x: 9(x+5) = 8(x+7) : 9x + 45 = 8x + 56 : 9x - 8x = 56 - 45 : x = 11 : Original fraction: : Check solution using the statement: "if 5 is added to the numerator and 2 is added to the denominator the value of the fraction is 8/9." = confirms out solution : How about this? Could you follow this OK? Any questions?

Rational-functions/119225: This question is from textbook Algebra 2 It costs (20 + x) dollars to produce (x) number of products. If the products sell for (300 - 2x) dollars each, how many products should be produced each month to maximize profit? 1 solutions Answer 87390 by ankor@dixie-net.com(15652)   on 2008-01-09 12:43:37 (Show Source): You can put this solution on YOUR website! It costs (20 + x) dollars to produce (x) number of products. If the products sell for (300 - 2x) dollars each, how many products should be produced each month to maximize profit? : Organize what we know here: : Cost for x items = (20+x) : Revenue per item = (300-2x) Revenue for x items = x(300-x) : We know that profit is: Revenue - cost: Write that equation where y = profit on x items y = x(300-2x) - (20+x) y = 300x - 2x^2 - 20 - x y = 280x - 2x^2 - x write it as a quadratic equation: y = -2x^2 + 279x : Maximum profit occurs at the axis of symmetry, we can find that using x = where, in our equation, a = -2 and b = 279 x = x = x = +69.75 items We can't make .75 items, so say max profit when 70 items are made : : Did this make sense to you? Let me know.

Rate-of-work-word-problems/119289: a cold water faucet could fill a sink in 15 minutes, and a hot water faucet can fill it in 12 minutes. the drain can empty the sink in 25 minutes. if both faucets are on and the drain is open, how long will it take to fill the sink? 1 solutions Answer 87388 by ankor@dixie-net.com(15652)   on 2008-01-09 11:30:10 (Show Source): You can put this solution on YOUR website! a cold water faucet could fill a sink in 15 minutes, and a hot water faucet can fill it in 12 minutes. the drain can empty the sink in 25 minutes. if both faucets are on and the drain is open, how long will it take to fill the sink? : Let t = time to fill the sink, when all 3 valves are open Let the full sink = 1 : + - = 1 : Find a common multiple of all three denominators, 15*12*25 = 4500, will do it Multiply equation by 4500 4500* + 4500* - 4500* = 4500(1) Cancel the denominators and you have: 300t + 375t - 180t = 4500 : 495t = 4500 : t = : t = 9.1 min or 9 min, 6 sec : : Check solution in original equation + - = 1 : .6067 + .7583 - .364 = 1; confirms our solution of 9.1 min : Did this make sense to you? Any questions?

Travel_Word_Problems/119291: at the beginning of the Alay Lakad, Rizza and Angel are 30km apart. if they leave at the same time and walk in the same direction, rizza overtakes angel in 60 hours. if they walk towards to each other, they meet in 5 hours. what are their speed? 1 solutions Answer 87370 by ankor@dixie-net.com(15652)   on 2008-01-09 09:53:26 (Show Source): You can put this solution on YOUR website! R and A are 30km apart. if they leave at the same time and walk in the same direction, R overtakes A in 60 hours. if they walk towards to each other, they meet in 5 hours. what are their speed? : r = R's speed and a = A's speed : Write a distance equation for each trip, Distance = time * speed: : Same direction: 60r - 30 = 60a 60r - 60a = 30 r - s = .5; simplified divided equation by 60 : Toward each other (total both traveled = 30 km) 5r + 5a = 30 r + a = 6; simplified, divided equation by 5 : Use these two equation for elimination of a: r + a = 6 r - a = .5 --------------add 2r +0a = 6.5 r = r = 3.25 km/h is R's speed : Use r - a = .5 to find a's speed 3.25 - a = .5 -a = .5 - 3.25 -a = -2.75 a = 2.75 km/h is A's speed : : Check solutions in original equations 60r - 60a = 30 60(3.25) - 60(2.75) = 195 - 165 = 30 and 5r + 5a = 30 5(3.25) + 5(2.75) = 16.25 + 13.75 = 30; confirms our solutions : Did this make sense to you? Any questions?

Inequalities/119226: CAn you help me with these 2 problems? -3x+6/2 < 12 and 11y+13 > -1 1 solutions Answer 87340 by ankor@dixie-net.com(15652)   on 2008-01-08 21:54:39 (Show Source): You can put this solution on YOUR website! Assume you mean: : < 12 : Get rid of the fraction, multiply both sides by 2 and you have -3x + 6 < 24 : -3x < 24 - 6 : -3x < 18 : We need of have x positive, multiply both sides by -1 This reverses the inequality sign +3x > -18 : x > -18/3 : x > -6 : Check solution. -5 is greater than -6, try x = -5 in the original equation -3(-5) + 6 < 24 +15 + 6 = 21 which is < 24 so it is true : If you try x = -7, you will find it is not true : : 11y + 13 > -1 11y > -1 - 13 11y > -14 y > : Did this make sense to you?