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Equations/227009: Can you please help me with the following statement problem? The sum of three integers is 65 more than twice the first integer - find all three integers. 1 solutions Answer 168820 by ankor@dixie-net.com(15647)   on 2009-10-15 08:15:27 (Show Source): You can put this solution on YOUR website! Three integers, x, y, z : The sum of three integers is 65 more than twice the first integer - find all three integers. x + y + z = 2x + 65 : y + z = 2x - x + 65 : y + z = x + 65 : As you can see, there is no way to find the values of of x, y, z here : If you meant three consecutive integers: x + (x+1) + (x+2) = 2x + 65 3x + 3 = 2x + 65 3x - 2x = 65 - 3 x = 62 : 62, 63, 64 are the integers ;

Radicals/226867: Hi i need help solving these equations: the square root of (2r squared - 121)= r and : 4+ square root of (m-2)=m 1 solutions Answer 168792 by ankor@dixie-net.com(15647)   on 2009-10-14 21:51:49 (Show Source): You can put this solution on YOUR website! = r Square both sides and you have 2r^2 - 121 = r^2 2r^2 - r^2 = + 121 r^2 = 121 r = r = +11 is the valid solution ; ; = m = m - 4 Square both sides m - 2 = (m-4)^2 m - 2 = m^2 - 8m + 16 0 = m^2 - 8m - m + 16 + 2 A quadratic equation m^2 - 9m + 18 Factors to (m-6)(m-3) = 0 m = 6 and m = 3 : You check both solutions in original equation, only one is valid

Average/226868: I am trying to help my son with homework, but we have no example to go by. Here is the question: A health food store sells seasoning blends in bulk. One blend contains 20% basil. Sheila wants to add pure basil to some 20% blend to make 16 ounces of her own 30% blend. Let b reperesent the amount of basil Sheila should add to the 20% blend. 1 solutions Answer 168788 by ankor@dixie-net.com(15647)   on 2009-10-14 21:41:21 (Show Source): You can put this solution on YOUR website! A health food store sells seasoning blends in bulk. One blend contains 20% basil. Sheila wants to add pure basil to some 20% blend to make 16 ounces of her own 30% blend. Let b represent the amount of basil Sheila should add to the 20% blend. : Let b = amt of pure basil (as it says) The resulting amt is to be 16 oz, therefore (16-b) = amt of 20% basil to be used : Write a mixture equation using decimal equiv of percent; .20(16-b) + 1b = .30(16) : 3.2 - .2b + 1b = 4.8 : .2b + 1b = 4.8 - 3.2 : .8b = 1.6 b = b = 2 oz of pure basil required ; : Check this .2(14) + 2 = .3(16) 2.8 + 2 = 4.8

Rational-functions/226869: Simplify each expression. Write your answers with positive exponents. Assume that all variables represent positive real numbers. (-27x9)1/3 The 9 is a 'to the power of' number and the 1/3 is also like a to the power number on the outside of the parenthesis, as in being smaller like the 9 should be. Does this make sense to anyone?? I hope because I really need help with how I am supposed to do it, can someone please help me?? 1 solutions Answer 168787 by ankor@dixie-net.com(15647)   on 2009-10-14 21:31:27 (Show Source): You can put this solution on YOUR website! You can write it : (-27x^9)^(1/3} or = exponent (1/3) is the cube root, cube root of -27 is -3 (-3*-3*-3)

Travel_Word_Problems/226851: Marla begins walking at 3 mi/h toward the library. Her friend meets her at the halfway point and drives her the rest of the way to the library. The distance to the library is 4 miles. How many hours did Marla walk? 1 solutions Answer 168786 by ankor@dixie-net.com(15647)   on 2009-10-14 21:24:07 (Show Source): You can put this solution on YOUR website! Marla begins walking at 3 mi/h toward the library. Her friend meets her at the halfway point and drives her the rest of the way to the library. The distance to the library is 4 miles. How many hours did Marla walk? : half way is two miles Time = dist/speed T = hr

Square-cubic-other-roots/226362: Wark’s (W) age equals Peter’s (P) age plus the cube root of Ian’s (I) age. P’s age equals I’s age plus the cube root of W’s age, plus 14 years. I’s age equals the cube root of W’s age plus the square root of P’s age. What is the age of each ??? 1 solutions Answer 168785 by ankor@dixie-net.com(15647)   on 2009-10-14 21:13:12 (Show Source): You can put this solution on YOUR website! Write an equation for each statement : Wark’s (W) age equals Peter’s (P) age plus the cube root of Ian’s (I) age. W = P + : P’s age equals I’s age plus the cube root of W’s age, plus 14 years. P = I + +14 ; I’s age equals the cube root of W’s age plus the square root of P’s age. I = + What is the age of each ??? : This looks horrible at first glance but there are only 3 perfect cubes in the age range. Ignoring 1, we have 8, 27 & 64, for I and W. And P is a perfect square. : In first equation W = P + W = 27, I=8, then P=25 or W = 8, I=64, P=4; (does not work in the other equations) : Test in the 2nd equation using W=27; I=8; P=25 P = I + +14 25 = 8 + + 14; this works, ; Test in the 3rd equation I = + 8 = + 8 = 3 + 5 : The ages; Warks: 27; Peters 25; Ian 8

Equations/226610: hello i am doing basic algerbra equations and i am working with word problems and the catorgire is solving equations with variables on both sides of the equation and if possible could you do the eqation in order step by step so i will understand how to do it and i am new at this suppose a roast should be cooked for 45 minutes plus 10 minutes for every pound the roast weighs. If a roast is properly cooked in 3 hours, how much did it weigh? 1 solutions Answer 168750 by ankor@dixie-net.com(15647)   on 2009-10-14 18:45:42 (Show Source): You can put this solution on YOUR website! : Oct 15 7Am, On review of yesterdays problems, I am sorry to say that I really screwed this one up, making it not only complicated. but totally wrong. I will try to correct this gross error : roast should be cooked for 45 minutes plus 10 minutes for every pound the roast weighs. If a roast is properly cooked in 3 hours, how much did it weigh? : Coverting 3 hrs to 180 min Let x = weight of the roast : A simple equation 10x + 45 = 180 10x = 180 - 45 10x = 135 x = x = 13.5 lb : : Check: 13.5(10) + 45 = 180 min " Easy, right? What was I thinking! Hope no last damage has been there, Carl

Equations/226335: solving the equation.check your solution -5(2y+3-5=-4(y+8)+2 what do I do first? 1 solutions Answer 168711 by ankor@dixie-net.com(15647)   on 2009-10-14 16:55:31 (Show Source): You can put this solution on YOUR website! -5(2y+3)- 5 = -4(y+8) + 2 : Do what is necessary to get the variable (y) on one side by itself Usually on the left, but doesn't have to be : Multiply what inside the brackets (distribute) -10y - 15 - 5 = -4y - 32 + 2 : do the math -10y - 20 = -4y - 30 : Add 4y to both sides -10y + 4y - 20 = -30 ; add 20 to both sides -10y + 4y = -30 + 20 ; combine like terms -6y = -10 : The variable (y) has to be positive, multiply both sides by -1 6y = 10 ; Divide both sides by 6 y = y = : : Check the solution by replacing y with 5/3 in the original equation

Linear_Equations_And_Systems_Word_Problems/226385: A commercial building was built in 1 - 7/8 months by 20 skilled workers and 30 unskilled laborers. If 30 skilled men were contracted the group alone would have erected the facility in 2 months time, How long should it take one unskilled worker alone to complete the job? 1 solutions Answer 168705 by ankor@dixie-net.com(15647)   on 2009-10-14 16:39:56 (Show Source): You can put this solution on YOUR website! A commercial building was built in 1 - 7/8 months by 20 skilled workers and 30 unskilled laborers. If 30 skilled men were contracted the group alone would have erected the facility in 2 months time, How long should it take one unskilled worker alone to complete the job? Find the time required by one skilled worker : It says, "Two months with 30 skilled workers only" that's 60 man/months (skilled) to complete the job Therefore one man requires 60 months to do the job : Then 20 skilled men: 60/20 = 3 months to do the same job : : Change 1 to 1.875 months Let u = the time required by 30 unskilled workers : Let the completed job = 1 : Skilled + unskilled = completed job + = 1 : Multiply equation by 3u 1.875u + 3(1.875) = 3u 5.625 = 3u - 1.875u 5.625 = 1.125u u = : u = 5 months using 30 unskilled men therefore 5*30 = 150 man/months (unskilled) to do the job therefore: 150 months for one unskilled man to do the job and 60 months for one skilled man to do it ; : Check solution: + = 1 .625 + .375 = 1

Exponential-and-logarithmic-functions/221698: Hi, I have a question on a problem I thought I did correctly off a test. (3x^0)^3(2x^3) I thought the answer was 18x^3 but I apparently got it wrong.. and can't figure out what went wrong. Could I get a second opinion? 1 solutions Answer 168542 by ankor@dixie-net.com(15647)   on 2009-10-13 21:53:59 (Show Source): You can put this solution on YOUR website! (3x^0)^3 (2x^3) : (3*1)^3) * 2x^3 ; 27 * 2x^3 = 54x^3

Miscellaneous_Word_Problems/226153: There are 3 times as many boys as girls. If there are 24 more boys than girls, how many children are there altogether? 1 solutions Answer 168540 by ankor@dixie-net.com(15647)   on 2009-10-13 21:49:11 (Show Source): You can put this solution on YOUR website! There are 3 times as many boys as girls. b = 3g : If there are 24 more boys than girls, b = g + 24 how many children are there altogether? : Replace b with 3g in above equation 3g = g + 24 3g - g = 24 2g = 24 g = 12 girls ; b = 3g b = 3(12) b = 36 boys : 12 + 36 = 48 kids altogether

Evaluation_Word_Problems/226264: Each girl in the Smith family has the same number of brothers as she has sisters. Each boy in the Smith family has twice as many sisters as he has brothers. How many girls and boys are there in the Smith family? I've tried giving a general equation for each (boys and girls), but without a total, I am a little stumped. For example, my initial thoughts on putting the two statements into variables, etc results in: b = 2b + g (first statement) g = b + g (second statement) But I don't think that's the right way to start. Any suggestions? 1 solutions Answer 168538 by ankor@dixie-net.com(15647)   on 2009-10-13 21:44:46 (Show Source): You can put this solution on YOUR website! I think you got the right idea : Each girl in the Smith family has the same number of brothers as she has sisters. For this to be true: g = b+1 (sisters 1 less than no. of girls) : Each boy in the Smith family has twice as many sisters as he has brothers. For this to be true: 2(b-1) = g (brothers a 1 less than no. of boys) : How many girls and boys are there in the Smith family? Replace g with b+1 in equation: 2(b-1) = g 2(b - 1) = b + 1 2b - 2 = b + 1 2b - b = 1 + 2 b = 3 boys then using the 1st statement: g = 3 + 1 = 4 girls : : see if that is true: girl has 3 brothers and 3 sisters (1st statement) boy has 4 sisters, 2 brothers (2nd statement)

Mixture_Word_Problems/226028: one salt solution is 15% and another is 20% salt. How many cubic centimeters of each solution must be mixed to obtain 50 cubic centimeters of 16% solution? 1 solutions Answer 168532 by ankor@dixie-net.com(15647)   on 2009-10-13 21:19:17 (Show Source): You can put this solution on YOUR website! one salt solution is 15% and another is 20% salt. How many cubic centimeters of each solution must be mixed to obtain 50 cubic centimeters of 16% solution? : Let x = amt of 20% solution : The resulting amt is to be 50 cu/cm, therefore (50-x) = amt of 15% solution : Using the decimal equiv, write an amt of salt equation : .20x + .15(50-x) = .16(50) : .20x + 7.5 - .15x = 8 : .20x - .15x = 8 - 7.5 : .05x = .5 x = x = 10 cu/cm of 20% salt and 50 - 10 = 40 cu/cm of 15% salt : : check .2(10) + .15(40) = .16(50) 2 + 6 = 8

Equations/226069: Solve. A cereal manufacturer uses three large overhead bins to hold the three ingredients in one of its cereal mixes. Bin A delivers a premeasured quantity of dried fruit every 25 minutes, bin B delivers raisins every 15 minutes, and bin C delivers flakes every 10 minutes. If they start the morning shift at the same time, how long beforethey deliver their ingredients at the same time again? 1 solutions Answer 168518 by ankor@dixie-net.com(15647)   on 2009-10-13 20:55:16 (Show Source): You can put this solution on YOUR website! A cereal manufacturer uses three large overhead bins to hold the three ingredients in one of its cereal mixes. Bin A delivers a premeasured quantity of dried fruit every 25 minutes, bin B delivers raisins every 15 minutes, and bin C delivers flakes every 10 minutes. If they start the morning shift at the same time, how long before they deliver their ingredients at the same time again? : Prime factor each 25 = 5 * 5 15 = 5 * 3 10 = 5 * 2 : factor of LCM = 5 * 5 * 3 * 2 = 150 minutes

Numbers_Word_Problems/225848: The sum of two numbers is 25. Twice the larger number subtracted from four times the smaller number is 4. What are the 2 numbers? 1 solutions Answer 168501 by ankor@dixie-net.com(15647)   on 2009-10-13 19:19:13 (Show Source): You can put this solution on YOUR website! The sum of two numbers is 25. x + y = 25 ; Twice the larger number subtracted from four times the smaller number is 4. 4y - 2x = 4 simplify, divide by 2 2y - x = 2 : Add to the 1st equation x + y = 25 -x + 2y = 2 ---------------eliminates x, find y: 3y = 27 y = y = 9 : I'll let you find the value of x

Exponents-negative-and-fractional/225857: If a certain number is addedto the numerator and denminator of 7/15, the result is 1/3, find the number? 1 solutions Answer 168497 by ankor@dixie-net.com(15647)   on 2009-10-13 19:12:15 (Show Source): You can put this solution on YOUR website! f a certain number is added to the numerator and denominator of 7/15, the result is 1/3, find the number? : let x = "the number" : = cross multiply 3(x + 7) = 1(x + 15) 3x + 21 = x + 15 3x - x = 15 - 21 2x = -6 x = -3 is the certain number : : Check = =

Equations/226114: Problem: 6 times julie's age is decreased by 112, the result is twice julie's age. How old is julie? this is how i started: 6x - 112 = 2x 3x - 112 = x now what? do i subract 3 from each side or divide each side by 3? Have I left out something in the equation? 1 solutions Answer 168495 by ankor@dixie-net.com(15647)   on 2009-10-13 19:05:54 (Show Source): You can put this solution on YOUR website! Problem: 6 times julie's age is decreased by 112, the result is twice julie's age. How old is julie? this is how i started: : This is correct equation 6x - 112 = 2x 3x - 112 = x However if you want to simplify, you have to divide each term by 2, should be: 3x - 56 = x : we want to perform operations that will get the unknown (x) on the left and the numerical values on the right : subtract x from both sides 3x - x - 56 = 0 add 56 to each side 2x = 56 : Divide both sides by 2 x = x = 28 yrs old : : now check the solution in the original statement " 6 times julie's age is decreased by 112, the result is twice julie's age." 6(28) - 112 = 2(28) 168 - 112 = 56 56 = 56, confirms the solution

Polynomials-and-rational-expressions/225733: Assistance is needed and greatly appreciated. 5pq^2/ 12r^2s / 20q^5/ 3r^3s4 so far I got 100pq^7/ 36r^5s^5 (not sure if I am on the right path. Also... 6 + 2/ y -2 = 7/ y + 1 (not sure how to start to solve) Please help! 1 solutions Answer 168452 by ankor@dixie-net.com(15647)   on 2009-10-13 16:44:29 (Show Source): You can put this solution on YOUR website! Assume the problem is: ---------- invert the dividing fraction & multiply * we can cancel across the "*" sign cancel q^2 into q^5 * : Cancel r^2 into r^3 * : Cancel s in s^4 * : cancel 3 into 12 * : Cancel 5 into 20; then multiply * = : There is a lot of chances for dumb errors here, check each step and confirm that I did not make a math mistake. : ; Assume this problem is: 6 + = : the first thing we want to do is get rid of those annoying denominators. Multiply each term by (y+1)(y-2) to do this: : 6((y+1)(y-2)) + (y+1)(y-2)* = (y+1)(y-2)* ; FOIL, then cancel the denominators 6(y^2 - y - 2) + 2(y+1) = 7(y-2) : Get rid of the brackes 6y^2 - 6y - 12 + 2y + 2 = 7y - 14 : Combine like terms on the left 6y^2 - 6y + 2y - 7y - 12 + 2 + 14 = 0 : 6y^2 - 11y + 4 = 0; a quadratic equation : Fortunately this will factor, otherwise use the quadratic formula (3y - 4)(2y - 1) = 0 Two solutions 3y = 4 y = 4/3 and 2y = 1 y = 1/2 : Check each solution in original equation

Travel_Word_Problems/225880: I need help with this problem: With a certain tail wind a certain jet aircraft arrives at it's destination, 1,890 miles away,in 3 hours. Flying against the same wind, the plane makes the return trip in 3 3/8 hours. Find the wind speed and the plane's airspeed. thank's Destiny 1 solutions Answer 168442 by ankor@dixie-net.com(15647)   on 2009-10-13 16:09:14 (Show Source): You can put this solution on YOUR website! With a certain tail wind a certain jet aircraft arrives at it's destination, 1,890 miles away,in 3 hours. Flying against the same wind, the plane makes the return trip in 3 3/8 hours. Find the wind speed and the plane's airspeed. : Let s = speed of the plane in still air Let w = speed of the wind then (s-w) = plane speed against the wind and (s+w) = plane speed with the wind : Change 3 3/8 hrs to 3.375 hrs : The trips there and back are equal distance, (1890 mi) write two distance equations dist = time * speed : 3.375(s-w) = 1890 3.0(s + w) = 1890 : It is convenient that we can simplify both these equations: divide the 1st by 3.375 divide the 2nd by 3 resulting in two simple equations that can be used for elimination of w s - w = 560 s + w = 630 ----------------adding eliminates w, find s 2s = 1190 s = s = 595 mph is the plane speed in still air Find w 595 + w = 630 w = 630 - 595 w = 35 mph is the wind speed : : You can check these solutions using the 1st two equations with these values

Rational-functions/225846: I need help with this problem. Reduce to lowest terms. x^3-x^2 _________= x^4 1 solutions Answer 168438 by ankor@dixie-net.com(15647)   on 2009-10-13 15:50:27 (Show Source): You can put this solution on YOUR website! Reduce to lowest terms. x^3-x^2 _________= x^4 : rewrite as two separate fractions; cancel the x's; rewrite over a single denominator = - = - =

Travel_Word_Problems/226005: Torque left home on his bicycle at 9:00 A.M., traveling at an average rate of 12 mph. At noon, Torque's brother set out after him on a motorcycle, following the same route, averaging 39 mph. How long had Torque been riding when his brother caught up? Will you help me set up the equation for this? i don't quite understand travel questions and I have a test in two days. Thanks, Emily M. Ohio 1 solutions Answer 168436 by ankor@dixie-net.com(15647)   on 2009-10-13 15:38:47 (Show Source): You can put this solution on YOUR website! Torque left home on his bicycle at 9:00 A.M., traveling at an average rate of 12 mph. At noon, Torque's brother set out after him on a motorcycle, following the same route, averaging 39 mph. How long had Torque been riding when his brother caught up? : Let t = time Torque had been riding then the brother starts, 3hrs later, therefore (t-3) = travel time of the brother : A good fact to remember in these "catch up" problems, is when this occurs, they both will have traveled the same distance : write a distance equation from this fact; (dist = speed * time) : bro dist = T's dist 39(t - 3) = 12t 39t - 117 = 12t 39t - 12t = +117 27t = 117 t = t = 4 hrs (4 hr 20 min) is the riding time of T ; : Check the solution by finding the dist traveled by each (bro traveled 4.33 - 3 = 1.33 hr) 4.33 * 12 ~ 52 mi 1.33 * 39 ~ 52 mi

Travel_Word_Problems/225609: a b747 aircraft flew 6hours with the wind. The return trip took 7 hours against the wind. If the speed of the plane in still air is 13 times the speed of the wind, find the wind speed and the speed of the plane in still air. i have so far... p=speed of plane w=speed of wind i know its set equal because of r*t problems but i can not figure this one out for the life of me! 1 solutions Answer 168418 by ankor@dixie-net.com(15647)   on 2009-10-13 14:34:26 (Show Source): You can put this solution on YOUR website! a b747 aircraft flew 6hours with the wind. The return trip took 7 hours against the wind. If the speed of the plane in still air is 13 times the speed of the wind, find the wind speed and the speed of the plane in still air. : Actually there is no way of knowing, proceed this way : let x = speed of the wind and 13x = speed of the plane then (13x + x) = 14x is the speed with the wind and (13x - x) = 12x is the speed against the wind : The distance there and back are the same so write a distance equation: : 6(14x) = 7(12x) 84x = 84x Which means there are any number of values for the wind speed Whatever it is, the speed of the plane will be 13 times the speed of the wind

Human-and-algebraic-language/225909: assume we take a sheet of paper that is 8.5 by 11 inches. we will transform it into a box by cutting identical squares of side length x from each corner, and fold up the sides to form the box. express the volume of the box as a function of x. 1 solutions Answer 168385 by ankor@dixie-net.com(15647)   on 2009-10-13 12:38:57 (Show Source): You can put this solution on YOUR website! assume we take a sheet of paper that is 8.5 by 11 inches. we will transform it into a box by cutting identical squares of side length x from each corner, and fold up the sides to form the box. express the volume of the box as a function of x. : Cutting these 4 squares out each with a side = x, assuming an open box Vol = length * width * height V = (11 - 2x) * (8.5 - 2x) * x FOIL v = (93.5 - 22x - 17x + 4x^2) * x Which is: V = x(4x^2 - 39x + 93.5) : V(x) = 4x^3 - 39x^2 + 93.5x

Distributive-associative-commutative-properties/225813: solve for x by using the factoring method: 3x^2-48=0 1 solutions Answer 168384 by ankor@dixie-net.com(15647)   on 2009-10-13 12:30:08 (Show Source): You can put this solution on YOUR website! solve for x by using the factoring method: 3x^2 - 48 = 0 Factor out 3 3(x^2 - 16) x^2 = 16 x = x = +/- 4 ; : Is this true? 3(4^2) - 48 = 0 3(16) - 48 = 0

Money_Word_Problems/225843: ECE Board November 1999/2000 In a box, there are 25 coins consisting of quarter, nickels and dimes with a total amount of $2.75. if the nickel were dimes ad the dimes were quarters and the quarters were nickles, the total amount would be $3.75. how many quarters are there? note:Nickel = 5cents, dime = 10 cents and quarter = 25 cents. 1 solutions Answer 168383 by ankor@dixie-net.com(15647)   on 2009-10-13 12:25:05 (Show Source): You can put this solution on YOUR website! In a box, there are 25 coins consisting of quarter, nickels and dimes with a total amount of $2.75. if the nickels were dimes, and the dimes were quarters, and the quarters were nickels, the total amount would be $3.75. how many quarters are there? : Originally x=no.of nickels, y=dimes, z=quarters : Three equations: x + y + z = 25 : 5x + 10y + 25z = 275; using cents : 25x + 5y + 10z = 375 : Multiply the 1st equation by 5, subtract from the 2nd equation 5x + 10y + 25z = 275 5x + 5y + 5z = 125 -----------------------eliminate x 5y + 20z = 150 simplify, divide by 5 y + 4z = 30 : Multiply 1st equation by 25, subtract the 3rd equation 25x + 25y + 25z = 625 25x + 5y + 10z = 375 ------------------------eliminate x again 20y + 15z = 250 Simplify, divide by 5 4y + 3z = 50 : We have two, 2 unknown equations y + 4z = 30 4y + 3z = 50 : Multiply the 1st equation by 4, subtract the 2nd 4y + 16z = 120 4y + 3z = 50 : There is something wrong with this problem, it does not have integer solutions

Equations/225828: Good morning! Please help me with this. Solve the equation and then your the answer. 2(y+8)=3(y-6) 1 solutions Answer 168359 by ankor@dixie-net.com(15647)   on 2009-10-13 07:43:25 (Show Source): You can put this solution on YOUR website! 2(y+8) = 3(y-6) : 2y + 16 = 3y - 18 : 16 + 18 = 3y - 2y : 34 = y

Unit_Conversion_Word_Problems/225721: Reduce the following rational expression to its lowest terms: 20u2y5/15y3z6-10y4 The only numbers that are whole numbers are the 20 and the 15. The others are 'to the power' numbers. I have absolutely no clue how to do this one please help. This is a fraction. a very big fraction. I hope no one thinks I am a total retard I am just awful with math problems!! Sorry!!!! 1 solutions Answer 168335 by ankor@dixie-net.com(15647)   on 2009-10-12 21:57:10 (Show Source): You can put this solution on YOUR website! Reduce the following rational expression to its lowest terms: : Factor out 5y^3 in the denominator : 5 cancels into 20 and y^3 cancel into y^5 in the numerator

Numbers_Word_Problems/225601: tom's family is planning a 7-day trip to texas. they want to spend time in both san antonio and dallas. they estimate that it will cost $275 per day in san antonio and $400 per day in dallas. Their budget for the 7 days is $2300. How many days should they spend in each city? 275x+400y=230 ? 1 solutions Answer 168333 by ankor@dixie-net.com(15647)   on 2009-10-12 21:40:23 (Show Source): You can put this solution on YOUR website! tom's family is planning a 7-day trip to texas. they want to spend time in both san antonio and dallas. they estimate that it will cost $275 per day in san antonio and $400 per day in dallas. Their budget for the 7 days is $2300. How many days should they spend in each city? : you want to write an equation with one unknown here Let s = days in S.A. then (7-s) = days in Dallas : 275s + 400(7-s) = 2300 : 275s + 2800 - 400s = 2300 275s - 400s = 2300 - 2800 -125s = -500 s = s = 4 days in S.A. and obviously, Dallas 3 days ; : You can check solution by finding the total for each city.

Travel_Word_Problems/225739: 2 Jets fly in opposite directions, one at 250mph and the other at 500mph. How far apart are they after 35 minutes? I figured that the one at 250 flies at 4.1666 miles per minute, (so 145.8333 at 35 minutes) and the one at 500 is 8.3333 per minute (so 291.6666 at 35 minutes) - so add the two together to get about 437.5 miles apart.... But my program is telling me that the answer is 291 miles apart. Am I thinking about this wrongly? Or is my program wrong? 1 solutions Answer 168329 by ankor@dixie-net.com(15647)   on 2009-10-12 21:31:03 (Show Source): You can put this solution on YOUR website! 2 Jets fly in opposite directions, one at 250mph and the other at 500mph. How far apart are they after 35 minutes? : You check this using relative speed, 250 + 500 = 750 Dist = speed * time : 750 * = 437.5 mi which what you got

expressions/225594: A tank can be filled from the faucet in 8 hours. It takes only 6 hours to empty the tank when the drain is open. If the tank is full and both the faucet and drain are open, how long will it take to empty the tank? 1 solutions Answer 168324 by ankor@dixie-net.com(15647)   on 2009-10-12 21:03:57 (Show Source): You can put this solution on YOUR website! A tank can be filled from the faucet in 8 hours. It takes only 6 hours to empty the tank when the drain is open. If the tank is full and both the faucet and drain are open, how long will it take to empty the tank? : Let t = time required for this happen : Let the completed job = 1; (an empty tank) : - = 1 Multiply equation by 24, results: 4t - 3t = 24 t = 24 hrs to run the tank empty ; ; Check solution: - = 1 4 - 3 = 1

Unit_Conversion_Word_Problems/225155: Solve the following proportion for x . Now how do i go about doing this one?? These are fractions by the way. Is this where i have to find a least common denominator then what??? 3/17 = x/12 Round your answer to the nearest tenth. 1 solutions Answer 168238 by ankor@dixie-net.com(15647)   on 2009-10-12 17:14:10 (Show Source): You can put this solution on YOUR website! = Just cross multiply and find x 17x = 3(12) 17x = 36 x =