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Mixture_Word_Problems/275174: How many liters of a 10% alcohol solution myst be mixed with 10L of a 4% solution to get a 6% solution? I set the problem up as .04(10)+.10x=.06 I ended up with -3.4 , this cannot be. What am I doing wrong? Thanks so much for your time. Sincerely, Tiffany Eakin 1 solutions Answer 200786 by ankor@dixie-net.com(15652)   on 2010-02-28 16:48:06 (Show Source): You can put this solution on YOUR website! How many liters of a 10% alcohol solution must be mixed with 10L of a 4% solution to get a 6% solution? I set the problem up as .04(10)+.10x=.06 I ended up with -3.4 , this cannot be. What am I doing wrong? : You are close, but the equation should be: .04(10) + .10x = .06(x+10) :

Rate-of-work-word-problems/275164: a student did a job for $24 it took him 1 hour longer than he expected so he made $4 less than he anticipated how long did he expect it would take him to do the job? 1 solutions Answer 200782 by ankor@dixie-net.com(15652)   on 2010-02-28 16:40:58 (Show Source): You can put this solution on YOUR website! a student did a job for $24 it took him 1 hour longer than he expected so he made $4 less than he anticipated how long did he expect it would take him to do the job? : If it took him 1 hr longer and he made $4 less he must make $4/hr : 24/4 = 6 hrs anticipated

Equations/275089: A new fraction is obtained by adding x to the numerator and denominator of the fraction 17 -- 24 This new fraction is equivalent to 2 -- 3 Calculate the value of x. What is The working and answer? Thanks 1 solutions Answer 200738 by ankor@dixie-net.com(15652)   on 2010-02-28 15:25:44 (Show Source): You can put this solution on YOUR website! A new fraction is obtained by adding x to the numerator and denominator of the fraction 17 -- 24 This new fraction is equivalent to 2 -- 3 Calculate the value of x. : We can write this as = Cross multiply 3(x+17) = 2(x+24) : 3x + 51 = 2x + 48 : 3x - 2x = 48 - 51 : x = -3 : : see if that works, subtract 3 from numerator and denominator reduces to

Polynomials-and-rational-expressions/275220: The sides of a square are lengthened by 7 cm, the area becomes 256cm^2. Find the length of the original square. deb_adkins2@yahoo.com 1 solutions Answer 200736 by ankor@dixie-net.com(15652)   on 2010-02-28 15:20:03 (Show Source): You can put this solution on YOUR website! The sides of a square are lengthened by 7 cm, the area becomes 256cm^2. Find the length of the original square. : Let x = the length of the original square then (x+7) = the length of the larger square The area (x+7)^2 = 256 FOIL x^2 + 14x + 49 = 256 : x^2 + 14x + 49 - 256 = 0 : x^2 + 14x - 207 = 0 Factors to (x+23)(x-9) = 0 Positive solution is all we want here x = 9 cm the side of the original square : : Check 16^2 = 256

Expressions-with-variables/275202: In Chemistry class, 6 liters of a 4% silver iodide solution must be mixed with a 10% solution to et a 6% solution. How many liters of the 10% solution are needed? I keep coming up with 6 liters but i am not sure that this is correct 1 solutions Answer 200735 by ankor@dixie-net.com(15652)   on 2010-02-28 15:13:18 (Show Source): You can put this solution on YOUR website! In Chemistry class, 6 liters of a 4% silver iodide solution must be mixed with a 10% solution to get a 6% solution. How many liters of the 10% solution are needed? I keep coming up with 6 liters but i am not sure that this is correct ; Lets see if it is: Let x = amt of 10% solution required : .04(6) + .10x = .06(x+6) .24 + .10x = .06x + .36 .10x - .06x = .36 - .24 .04x = .12 x = x = 3 liters of 10% solution required, not sure what you did to get 6 :

Travel_Word_Problems/275084: The Monahan’s garden is 20 feet by 30 feet. They wish to lay a uniform border of pine bark around the garden. How large a strip should they lay if they only have enough bark to cover 360 square feet? 1 solutions Answer 200733 by ankor@dixie-net.com(15652)   on 2010-02-28 15:05:07 (Show Source): You can put this solution on YOUR website! The Monahan’s garden is 20 feet by 30 feet. They wish to lay a uniform border of pine bark around the garden. How large a strip should they lay if they only have enough bark to cover 360 square feet? : let x = the width of the border : Find the area of the garden 20 * 30 = 600 sq/ft then The total area, border & garden: 360 + 600 = 960 sq/ft : the overall dimensions of border and garden: (2x+20) by 2x+30) : The overall area: (2x+20) * (2x+30) = 960 FOIL 4x^2 + 60x + 40x + 600 = 960 : 4x^2 + 100x + 600 - 960 = 0 : 4x^2 + 100x - 360 = 0; our old friend, the quadratic equation Simplify,divide by 4 x^2 + 25x - 90 = 0 Unfortunately this will not factor, Use the quadratic equation a=1; b=25; c=-90 : : : the positive solution : x = x = 3.19 ft is the width of the border : : Check solution on calc using 3.2 for the width 26.4 * 36.4 = 961 ~ 960; Subtract the area of the garden: 960 - 600 = 360, the area of the border

Average/275206: ax __ = C b I believe that I need to use the reciprocal some how to get the answer but I'm not quite sure?? The text book says the answer is X=bc/a but I don't know the proper steps. please help... 1 solutions Answer 200730 by ankor@dixie-net.com(15652)   on 2010-02-28 14:41:29 (Show Source): You can put this solution on YOUR website! Assume the problem is = c solve for x Multiply both sides by b, (get rid of the denominator on the left) ax = bc Divide both sides by a x =

Linear-equations/275024: In 1920, the record for a certain race was 45.1 sec. In 1970, it was 44.1 sec. Let R(t)=the record in the race and t=the number of years since 1920. a)Find a linear function that fits the data. b)Use the function in (a) to predict the record in 2003 and in 2006. c)Find the year when the record will be 43.20 sec. Find a linear function that fits the data. R(t)= 1 solutions Answer 200728 by ankor@dixie-net.com(15652)   on 2010-02-28 13:57:35 (Show Source): You can put this solution on YOUR website! In 1920, the record for a certain race was 45.1 sec. In 1970, it was 44.1 sec. Let R(t)=the record in the race and t=the number of years since 1920. : a)Find a linear function that fits the data. In 1920: x1=0; y1=45.1 In 1970: x2=50; y2=44.1 : Find the slope: m = = write the equation using the form y - y1 = m(x - x1) y - 45.1 = (x - 0) y = x +45.1 or R(t) = t + 45.1; is the linear function : : b)Use the function in (a) to predict the record in 2003 and in 2006. 2003; t= 83 R(t) = (83) + 45.1 R(t) = 43.44 sec 2006; t=86 R(t) = (86) + 45.1 R(t) = 43.38 sec : : c)Find the year when the record will be 43.20 sec. t + 45.1 = 43.20 t = 43.20 - 45.1 t = -1.9 t = -50 * -1.9 t = 95, which is 1920 + 95 = 2015, the record should be 43.2 R(t)=

Miscellaneous_Word_Problems/275034: A garden plot 4m by 12m has one side along a fence as shown below. A border of uniform width(x) is to be dug along three of the sides. The area of the garden and border is 96 sq. m. What is the width of the border? 1 solutions Answer 200727 by ankor@dixie-net.com(15652)   on 2010-02-28 13:29:09 (Show Source): You can put this solution on YOUR website! A garden plot 4m by 12m has one side along a fence as shown below. A border of uniform width(x) is to be dug along three of the sides. The area of the garden and border is 96 sq. m. What is the width of the border? : Let x = the width of the uniform border then for a 3 sided border: overall dimensions: (x + 4) by (2x + 12 : over all area: (x+4)*(2x+12) = 96 FOIL 2x^2 + 12x + 8x + 48 = 96 : 2x^2 + 20x + 48 - 96 = 0 : 2x^2 + 20x - 48 = 0 Simplify divide by 2: x^2 + 10x - 24 = 0 Factor (x+12)(x-2) = 0 Positive solution x = 2 meters is the width of the 3 sided border ; : Check solution that makes the overall dimensions 6 by 16; 6 * 16 = 96 sq/m is the overall area

Proportions/275044: there are 450 students and 15 teachers in a school. The school hires 2 new teachers. To keep the student to teacher ratio the same, how many total students should attend the school? 1 solutions Answer 200722 by ankor@dixie-net.com(15652)   on 2010-02-28 12:08:40 (Show Source): You can put this solution on YOUR website! there are 450 students and 15 teachers in a school. The school hires 2 new teachers. To keep the student to teacher ratio the same, how many total students should attend the school? : = 15x = 450 * 17 15x = 7650 x = x = 510 total students to maintain the ratio

Travel_Word_Problems/275068: I need help with this question Jim made a 350 mile trip in his car at a certain speed. If he had gone 10 mph faster, he could have made the trip in one hour less time. Find his speed. 1 solutions Answer 200719 by ankor@dixie-net.com(15652)   on 2010-02-28 11:30:16 (Show Source): You can put this solution on YOUR website! Jim made a 350 mile trip in his car at a certain speed. If he had gone 10 mph faster, he could have made the trip in one hour less time. Find his speed. : Let s = his speed then (s+10) = the faster speed : Write a time equation; time = dist/speed : Actual time - faster time = 1 hr = = 1 : Multiply equation by s(s+10); results: 350(s+10) - 350s = s(s+10) : 350s + 3500 - 350s = s^2 + 10s combine and arrange as quadratic equation s^2 + 10s - 3500 = 0 use the quadratic formula to find s x = s; a=1; b=1-; c=-3500 : : the positive solution : s = s = 54.37 mph is the actual speed : : Check solution by finding the times 350/54.37 = 6.4 hrs 350/64.37 = 5.4 hrs, one hr difference

Human-and-algebraic-language/275059: Find a number that is 96 greater that its oppostie. So far I know you have to do the following: Let x=number -x=opposite x=-x+96 but i dont know how to solve that.i think it is: -96=-x-x -96=-2x -96/-2x=48 does x=48? did i do it correctly? THank You 1 solutions Answer 200686 by ankor@dixie-net.com(15652)   on 2010-02-28 07:42:27 (Show Source): You can put this solution on YOUR website! you did!

percentage/275012: How do I manually work out the percentage of something : eg. 18 students out of 25 is 72% - how do I work this out without using a calculator. Thank you kindly, Susan 1 solutions Answer 200669 by ankor@dixie-net.com(15652)   on 2010-02-27 22:00:11 (Show Source): You can put this solution on YOUR website! How do I manually work out the percentage of something : eg. 18 students out of 25 is 72% - how do I work this out without using a calculator. Thank you kindly, Susan : Use old fashioned long division would be : ____.72 * 100 to get the per cent 25|18.00

Polynomials-and-rational-expressions/274978: Ben's average driving speed for a 5 hour trip was 35 miles per hour. During the first four hours, he drove 30 miles per hour. What was his average speed for the last hour of his trip? 1 solutions Answer 200664 by ankor@dixie-net.com(15652)   on 2010-02-27 21:05:25 (Show Source): You can put this solution on YOUR website! Ben's average driving speed for a 5 hour trip was 35 miles per hour. During the first four hours, he drove 30 miles per hour. What was his average speed for the last hour of his trip? : Let s = his speed the last hr of he trip : Write a distance equation: dist = speed * time ; 35 mph dist + unknown speed dist = total dist 30(4) + 1s = 35(5) 120 + s = 175 s = 175 - 120 s = 55 mph for the last hr ; : Check this 120 + 55 = 175

Human-and-algebraic-language/274958: Avoiding a collision. A car is traveling on a road that is perpendicular to a railroad track. When the car is 30 meters from the crossing, the car’s new collision detector warns the driver that there is a train 50 meters from the car and heading toward the same crossing. How far is the train from the crossing? 1 solutions Answer 200662 by ankor@dixie-net.com(15652)   on 2010-02-27 20:56:03 (Show Source): You can put this solution on YOUR website! A car is traveling on a road that is perpendicular to a railroad track. When the car is 30 meters from the crossing, the car’s new collision detector warns the driver that there is a train 50 meters from the car and heading toward the same crossing. How far is the train from the crossing? : This is a pythag problem a^2 + b^2 = c^2 where a = 30 c = 50 b = dist train is from the crossing : 30^2 + b^2 = 50^2 b^2 = 50^2 - 30^2 b^2 = 2500 - 900 b = b = 40 meters from the crossing

Square-cubic-other-roots/274976: Can you help me solve this problem using the foil method? (4 square root of 5 - 2)(2 square root of 5 -4) I don't know how to get the square root symbol to come up on my computer. sorry! 1 solutions Answer 200660 by ankor@dixie-net.com(15652)   on 2010-02-27 20:47:45 (Show Source): You can put this solution on YOUR website! FOIL : :

Linear_Equations_And_Systems_Word_Problems/274682: Going into the final exam, which will count as two tests, Ameilia has test scores of 79,86,72,59 and 94. What score does Amelia need on the final in order to have an average score of 80? 1 solutions Answer 200645 by ankor@dixie-net.com(15652)   on 2010-02-27 18:23:59 (Show Source): You can put this solution on YOUR website! Going into the final exam, which will count as two tests, Ameilia has test scores of 79,86,72,59 and 94. What score does Amelia need on the final in order to have an average score of 80? : Let x = final exam score Counts as two tests, so call it 2x : = 80. add em up, and mult by 7 2x + 390 = 7(80) : 2x = 560 - 390 x = x = 85 to have an 80 average

Polynomials-and-rational-expressions/274956: Evan hiked up a mountain at 3km/h and returned at 4km/h. The entire trip took 5 hours and 10 minutes, including the half hour he spent at the top.How long was the trail? 1 solutions Answer 200642 by ankor@dixie-net.com(15652)   on 2010-02-27 18:15:37 (Show Source): You can put this solution on YOUR website! Evan hiked up a mountain at 3km/h and returned at 4km/h. The entire trip took 5 hours and 10 minutes, including the half hour he spent at the top. How long was the trail? : We are only interested in his hiking time 5:10 - :30 = 4:40 min 4 + 40/60 = 4 hrs or hrs : Let d = one way dist: : write a time equation: Time = dist/speed : Up time + down time = total time + = Multiply equation by 12, results: 4d + 3d = 4(14) 7d = 56 d = d = 8 miles one way : : Check solution by finding the times 8/3 + 8/4 = 2.67 + 2 = 4.67 which is 4 hrs

Percentage-and-ratio-word-problems/274834: The price of product R is 20 percent higher than the price of product S, which in turn is 30 percent higher than the price of product T. The price of product R is what percent higher than the price of product T? a) 60% b) 56% c) 50% d) 44% 1 solutions Answer 200621 by ankor@dixie-net.com(15652)   on 2010-02-27 17:05:17 (Show Source): You can put this solution on YOUR website! The price of product R is 20 percent higher than the price of product S, R = 1.2S : which in turn is 30 percent higher than the price of product T. S = 1.3T : The price of product R is what percent higher than T R = 1.2(1.3T) R = 1.56T or 56% higher

Sequences-and-series/274937: Mary can paint a house in 4 hrs.John can paint the same house in 6 hrs. How long will it take to paint house together. First I converted hours to minutes, added them together, then divided by two. please help me set up this problem correctly. 1 solutions Answer 200615 by ankor@dixie-net.com(15652)   on 2010-02-27 16:46:47 (Show Source): You can put this solution on YOUR website! Mary can paint a house in 4 hrs.John can paint the same house in 6 hrs. How long will it take to paint house together : You have to use the "shared work equation" where t = time (in hrs) required when working together and completed job = 1 (a painted house) : Each will do a fraction of the job, the two fractions add up to 1 + = 1 : That's the setup. Email me if you have difficulty with it: ankor@att.net

Quadratic_Equations/274917: Maximizing Revenue: A large hotel is condidering giving the following froup discount on room rates: the regular price of $120 decreases by $2 for each room rented. For example, one room costs $118, two rooms cost $116 x 2=$232, three rooms cost $114 x 3=$342 and so on. a)Write a formula for a function R that gives the revenue for renting x rooms. b)Sketch a graph of R. What is a reasonable domain? c)Determine the maximum revenue and the corresponding number of rooms rented. 1 solutions Answer 200608 by ankor@dixie-net.com(15652)   on 2010-02-27 16:39:33 (Show Source): You can put this solution on YOUR website! A large hotel is considering giving the following group discount on room rates: the regular price of $120 decreases by $2 for each room rented. : a)Write a formula for a function R that gives the revenue for renting x rooms. x = no. of rooms Rev = no. of room * price of each room R(x) = x(120 - 2x) R(x) = -2x^2 + 120x : b)Sketch a graph of R. A graph of this equation : What is a reasonable domain? easy to see it would be from 1 to 60 rooms (x) : c)Determine the maximum revenue and the corresponding number of rooms rented. You see this from the graph, but we can find it using the axis of symmetry and vertex y = -2x^2 + 120x; where a= -2; b = 120 x = x = +30 rooms rented would give max revenue : Find the vertex y = -2(30^2) + 120(30) y = -2(900) + 3600 y = -1800 + 3600 y = $1800 max revenue: : : Confirm this room cost: 120-2(30) = 60; then 30 * 60 = $1800

Linear_Algebra/274768: Alfred's shirt company manufactures two types of shirts: business and casual. On business shirts, Alfred makes $4 profit and on casual shirts, Alfred makes $3 profit 'x' equals business shirts produced and 'y'equals casual shirts produced. From the given profit information, we can form an equationfor the amount of profit (P) made, given that 'x' business shirts and 'y' casual shirts are produced: a) write down a rule for the profit $P in terms of x and y. I have attempted to do this by trying to find a constant and a variable, and i know that the variable will be the number with the pronumeral, but i cannot seem to find a constant. 1 solutions Answer 200594 by ankor@dixie-net.com(15652)   on 2010-02-27 16:03:41 (Show Source): You can put this solution on YOUR website! Alfred's shirt company manufactures two types of shirts: business and casual. On business shirts, Alfred makes $4 profit and on casual shirts, Alfred makes $3 profit 'x' equals business shirts produced and 'y'equals casual shirts produced. From the given profit information, we can form an equation for the amount of profit (P) made, given that 'x' business shirts and 'y' casual shirts are produced: a) write down a rule for the profit $P in terms of x and y. : I don't think a constant is given here, it's just: P = 4x + 3y

Quadratic_Equations/274883: My son has 2 problems. (1) A boy is mowing a field 40 rods and 20 rods rectangular. How wide a border must he cut in order that 3/4 of the mowing will have been completed? (2) Solve for x and y. 3X + 8y=-5 and x^2- 2XY=12. Thank you. 1 solutions Answer 200591 by ankor@dixie-net.com(15652)   on 2010-02-27 15:53:45 (Show Source): You can put this solution on YOUR website! (1) A boy is mowing a field 40 rods and 20 rods rectangular. How wide a border must he cut in order that 3/4 of the mowing will have been completed? : Find the area of the field, 40 * 20 = 800 sq/rds Mowed area has to equal .75(800) = 600 sq/rds That leaves 200 sq/rds unmowed : let x = the width of the swath around the unmowed area unmowed length * unmowed width = 200 sq/rd (40-2x)*(20-2x) = 200 FOIL 800 - 80x - 40x + 4x^2 = 200 Arrange as a quadratic equation 4x^2 - 120x + 800 - 200 = 0 : 4x^2 - 120x + 600 = 0 Simplify, divide by 4 x^2 - 30x + 150 = 0 Use the quadratic formula to solve for x, (only one solution will make sense) a=1, b=-30, c=150 I got x ~ 6.34 rods is the width to mowed ; : (2) Solve for x and y. 3X + 8y =-5 and x^2- 2XY = 12. : try to get the 2nd equation in a form where we can eliminate y x^2 - 2xy = 12 x(x - 2y) = 12 x - 2y = Multiply by 4 and add the 1st equation : 3x + 8y = -5 4x - 8y = ---------------------- eliminates y, find x 7x + 0y = -5 + 7x + 5 - = 0 multiply by x 7x^2 + 5x - 48 = 0; hopefully an equation we can factor (7x-16)(x+3) = 0 Two solutions 7x = 16 and x = -3 Use the integer solution in the 1st equation to find y 3x + 8y = -5 3(-3) + 8y = -5 -9 + 8y = -5 8y = -5 + 9 8y = +4 y = y = +.5 : Our solution: x=-3; y=+.5 : : See if that works in the 2nd equation x^2- 2XY = 12. -3^2 - 2*-3*.5 = 12 9 - (-3) = 12 9 + 3 = 12; so it works, the value x = 16/7 may work too, but you can check that out yourself

Travel_Word_Problems/274878: Please help me with this problem. Kim decides to run 2 Km in to the local gym She runs the first x km at 8km/hr, then walks the rest at 4km/hr Altogether the journey takes 20 minutes Form and solve an equation to find the value of x 1 solutions Answer 200554 by ankor@dixie-net.com(15652)   on 2010-02-27 13:46:33 (Show Source): You can put this solution on YOUR website! Kim decides to run 2 Km in to the local gym She runs the first x km at 8km/hr, then walks the rest at 4km/hr Altogether the journey takes 20 minutes Form and solve an equation to find the value of x : change 20 min to hr x = dist ran (given) Then (2-x) = dist walked : Write a time equation, time = dist/speed : Run time + walk time = 1/3 hr + = Multiply by 24 to rid us of those denominators, results 3x + 6(2-x) = 8 : 3x + 12 - 6x = 8 : 3x - 6x = 8 - 12 : -3x = -4 x = or 1 km ran : : Is this true, walk dist = 2/3 km, find the times using decimals 1.33/8 + .67/4 = .166 + .1675 = .333 hr, which is 20 min

Geometry_Word_Problems/274874: In a pair of supplementary angles, one angle measures 24 degrees more than twice the other angle. Find the measure of each angle. I tried it like this: 2x+24+x not sure how to solve this one. Thanks, Meg 1 solutions Answer 200548 by ankor@dixie-net.com(15652)   on 2010-02-27 13:19:35 (Show Source): You can put this solution on YOUR website! In a pair of supplementary angles, one angle measures 24 degrees more than twice the other angle. Find the measure of each angle. : Let x = "other angle" : The pair is supplementary, so they add up to 180, therefore (180-x) = one angle : It says,"one angle measures 24 degrees more than twice the other angle." therefore we can write it like this and solve for x: (180-x) = 2x + 24 180 - 24 = 2x + x 156 = 3x x = x = 52 degrees is the other angle then 180 - 52 = 128 degrees is "one angle" : : See if this is true in the statement: "one angle measures 24 degrees more than twice the other angle. 128 = 2(52) + 24 128 = 104 + 24; confirms our solutions here

Linear-systems/274864: Solve by elimination method 9/2x-4y=-3 4/3x-1/2y=7/6 1 solutions Answer 200547 by ankor@dixie-net.com(15652)   on 2010-02-27 13:07:22 (Show Source): You can put this solution on YOUR website! Solve by elimination method : x - 4y = -3 x - y = : Get rid of those annoying fractions, multiply the 1st equation by 2, results: 9x - 2(4y) = 2(-3) 9x - 8y = -6 : Multiply the 2nd by 6; results 2(4x) - 3y = 7 8x - 3y = 7 : Use elimination on these two equations: 9x - 8y = -6 8x - 3y = 7 : Multiply the 1st equation by 3, multiply the 2nd equation 8: 27x - 24y = -18 64x - 24y = 56 --------------------- subtraction eliminates y, find x -37x + 0 = -74 Multiply by -1 to get rid of the negative 37x = 74 divide both sides by 37 x = x = 2 : Find y using the equation: 9x - 8y = -6 9(2) - 8y = -6 18 - 8y = -6 -8y = -6 - 18 -8y = -24 y = 24/8 y = +3 : : Check solution in the 2nd original equation x - y = (2) - (3) = - = - = : :

Finance/274833: You acquired an antique dresser that was appraised in 1970 at $2,000.00. It is now 1998, and the appraised value of the dresser has increased by 5% each year. What is the current value of the dresser? 1 solutions Answer 200545 by ankor@dixie-net.com(15652)   on 2010-02-27 12:44:21 (Show Source): You can put this solution on YOUR website! You acquired an antique dresser that was appraised in 1970 at $2,000.00. It is now 1998, and the appraised value of the dresser has increased by 5% each year. What is the current value of the dresser? : Let A = present value of the it : We want to know the price after 28 yrs, t=28 : A = 2000*1.05^28 enter this into a good calc A = $7,840.26 after 28 yrs

Inverses/274865: The equation of a line L1 is y=.5x (a) on graph paper draw and label L1 The line L2 has the same slope as L1, but cross es the y-axis at 3 (b) What is the geometric relationship between L1 and L2? (c)write down the equation of L2 (d) on the same grid as part (a) draw the line L2 1 solutions Answer 200544 by ankor@dixie-net.com(15652)   on 2010-02-27 12:35:14 (Show Source): You can put this solution on YOUR website! The equation of a line L1 is y=.5x (a) on graph paper draw and label L1 : The line L2 has the same slope as L1, but crosses the y-axis at 3 ; (b) What is the geometric relationship between L1 and L2? Note that the lines are parallel (parallel lines always have the same slope) : (c)write down the equation of L2 y = .5x + 3 (d) on the same grid as part (a) draw the line L2 we did that in b

Polynomials-and-rational-expressions/274610: I'm having trouble solving this problem: x/x-2 - x-2/x+2 = ? Can you show me how to work it out? 1 solutions Answer 200543 by ankor@dixie-net.com(15652)   on 2010-02-27 12:22:17 (Show Source): You can put this solution on YOUR website! - The common denominator will be(x-2)(x+2), so we have: : remove the brackets, change the signs x^2's cancel so you have: Factor

Linear-systems/274747: I need help solving this problem.You are sliding a big cabinet down a truck ramp for a customer. You must maintain control of the cabinet because it is very heavy. There are 2 ramps in the building. The equation of ramp 1 is y = 2x + 7 and the equation of ramp 2 is y = 3 x + 7. Which is the safest ramp to slide the cabinet down without losing control and why? 1 solutions Answer 200539 by ankor@dixie-net.com(15652)   on 2010-02-27 10:33:31 (Show Source): You can put this solution on YOUR website! The ramp with the least slope (2) , rises two for each horizontal unit.\, whereas, ramp 2, rises 3 for each horizontal unit

Numbers_Word_Problems/274606: two times the first of three consecutive even integers is twenty-four more than the product of the third integer and four. find the integers. 1 solutions Answer 200526 by ankor@dixie-net.com(15652)   on 2010-02-27 09:49:15 (Show Source): You can put this solution on YOUR website! Let the 3 consecutive even integers be: x, (x+2), (x+4) : write an equation for what it says: "two times the first... is twenty-four more than the product of the third integer and four." 2x = 4(x+4) + 24 : 2x = 4x + 16 + 24 : 2x - 4x = 40 : -2x = 40 x has to be +, multiply by -1 2x = -40 x = -20 is the 1st integer then -18, -16 are the 2nd and third integers ; : See if that's true 2(-20) = 4(-16) + 24 -40 = -64 + 24