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 Miscellaneous_Word_Problems/536954: In ΔABC, the measure of ∠A is 36°. The measure of ∠B is three times the measure of ∠C. Find m∠B & m∠C. Please help me. I only need this one last problem before I finish my homework! Thanks!1 solutions Answer 352669 by ankor@dixie-net.com(15624)   on 2011-11-26 22:03:38 (Show Source): You can put this solution on YOUR website!In ΔABC, the measure of ∠A is 36°. The measure of ∠B is three times the measure of ∠C. Find m∠B & m∠C. : A = 36 B = 3C : A + B + C = 180 36 + B + C = 180 B + C = 180 - 36 B + C = 144 Replace B with 3C 3C + C = 144 4C = 144 C = 144/4 C = 36 degrees : B = 3(36) B = 108 degrees
 Square-cubic-other-roots/536683: x^6-28x^3+27=01 solutions Answer 352661 by ankor@dixie-net.com(15624)   on 2011-11-26 20:55:07 (Show Source): You can put this solution on YOUR website!x^6 - 28x^3 + 27 = 0 Factors to (x^3 - 1)(x^3 - 27) Two solutions x^3 = 1 find the cube root of both sides x = 1 and x^3 = 27 Find the cube root of both sides x = 3 : : You can check both solutions in the original equation
 Miscellaneous_Word_Problems/536681: A caterer in quoting the charge for producing a dinner proposes the following terms. For a group of 60 people, he will charge \$30 per person. For every extra 10 people, he will lower the price for \$1.50 per person for the whole group. What size group does the caterer want to maximize his income? Thanks!1 solutions Answer 352659 by ankor@dixie-net.com(15624)   on 2011-11-26 20:47:55 (Show Source): You can put this solution on YOUR website!A caterer in quoting the charge for producing a dinner proposes the following terms. For a group of 60 people, he will charge \$30 per person. For every extra 10 people, he will lower the price for \$1.50 per person for the whole group. What size group does the caterer want to maximize his income? : Let x = no. of groups of 10, that will maximize income Let x = no. of \$1.50 reductions in price Let R = his income ; R = (60+10x)(30 - 1.50x) FOIL R(x) = 1800 - 90x + 300x - 15x^2 R(x) = -15x^2 + 210x + 1800 Find the axis of symmetry x = x = x = +7 groups of 10, 70 more people which would be 130 total : Cost per person then, 30 - 7(1.50) = \$19.50 : Total income: 19.50 * 130 = \$2,535
 Travel_Word_Problems/536797: If the horsepower p required to drive a speedboat through water is directly proportional to the cube of the speed v of the boat, what change is horsepower would be required to double the speed of the boat?1 solutions Answer 352627 by ankor@dixie-net.com(15624)   on 2011-11-26 19:04:11 (Show Source): You can put this solution on YOUR website!If the horsepower p required to drive a speedboat through water is directly proportional to the cube of the speed v of the boat, what change is horsepower would be required to double the speed of the boat? : P = v^3 "what change is horsepower would be required to double the speed of the boat?" P = (2v)^3 P = 8v^3 : Power has to be increased by a factor of 8
 Quadratic_Equations/536711: If a bus traveled 10km/h faster, it would take 2 hours less time to make a 315km trip. What is its speed? Thanks for any help:)1 solutions Answer 352619 by ankor@dixie-net.com(15624)   on 2011-11-26 18:43:32 (Show Source): You can put this solution on YOUR website!If a bus traveled 10km/h faster, it would take 2 hours less time to make a 315km trip. What is its speed? : Let s = the speed of the bus then (s+10) = the faster speed : Write time equation, time = dist/speed : Actual time - faster time = 2 hrs - = 2 multiply by s(s+10) s(s+10)* - s(s+5)* = 2s(s+10) Cancel the denominators and you have 315(s+10) - 315s = 2s^2 + 20s 315s + 3150 - 315s = 2s^2 + 20s 0 = 2s^2 + 20s - 3150 Simplify, divide by 2 s^2 + 10s - 1575 = 0 Factors to (s+45)(s-35) = 0 The positive solution s = 35 mph is the actual bus speed : : Check this by finding the times at each speed 315/35 = 9 hrs 315/45 = 7 hrs
 Expressions-with-variables/536737: A farmer keeps some animals on a strict diet. Each animal is to recieve 12 grams of protein and 6.5 grams of carbohydrates. The farmer uses two food mixes with nutrients as shown in the table. How many grams of each mix should be used to provide the correct nutrients for each animal. Protiens Carbohydrates Mix A 12% 9% Mix B 15% 5% Please for the gentleman or lady that solves my problem please, give an explanation as to why you did what you did in each step. Thank you and have a blessed day-Tray Tillmon1 solutions Answer 352593 by ankor@dixie-net.com(15624)   on 2011-11-26 15:34:47 (Show Source): You can put this solution on YOUR website!A farmer keeps some animals on a strict diet. Each animal is to receive 12 grams of protein and 6.5 grams of carbohydrates. The farmer uses two food mixes with nutrients as shown in the table. How many grams of each mix should be used to provide the correct nutrients for each animal. : Proteins | Carbohydrates Mix A: 12%| 9% Mix B: 15%| 5% : Write an equation for each Prot eq: .12A + .15B = 12 Carb eq: .09A + .05B = 6.5 : We can use elimination here, multiply the 2nd equation by -3, add to the 1st eq .12A + .15B = 12 -.27A - .15B = -19.5 ----------------------add eliminates B, find A -.15A = -7.5 A = A = 50 grams of Mix A : Find B using the 1st equation .12(50) + .15B = 12 6 + .15B = 12 .15B = 12 - 6 .15B = 6 B = B = 40 grams of mix B : : Check these solutions in the 2nd original equation .09A + .05B = 6.5 .09(50) + .05(40) = 4.5 + 2.0 = 6.5; confirms our solution of A=50, B=40 : :
 Rate-of-work-word-problems/535888: If computer a can process 10 pictures in 180 sec, and working toghether with computer b, processes them in 100 sec, how long does it take for b to process the same amount of pictures 1 solutions Answer 352035 by ankor@dixie-net.com(15624)   on 2011-11-22 21:48:03 (Show Source): You can put this solution on YOUR website!If computer a can process 10 pictures in 180 sec, and working together with computer b, processes them in 100 sec, how long does it take for b to process the same amount of pictures : let b = time required by b alone let the completed job = 1 (10 pics processed) : A typical shared work equation + = 1 mult by 180b 180b* + 180b* = 180b Cancel the denominators and you have 100b + 180(100) = 180b 18000 = 180b - 100b 18000 = 80b b = b = 225 sec alone
 percentage/535897: I am now taking algebra 2 we are studying percent word problems,,,my teacher asked us to round the answer to a 10th of a percent I dont understand ?for example a check of 150 united airline flights last month idetified that 113 of them arrived on time,what on time percent does that represent ? my answer is 113/150= 75.3% NOW SHE SAYS ROUND TO THE 10TH % HOW DO i DO THAT1 solutions Answer 352031 by ankor@dixie-net.com(15624)   on 2011-11-22 21:29:09 (Show Source): You can put this solution on YOUR website!You have rounded it to the nearest 10th. Seventy-five and 3 tenths percent :
 Money_Word_Problems/535909: The state owes me interest on a claim which is \$90,000 and they owe the interest over 3 years, if they give me 4% interest how much do they owe me in total?1 solutions Answer 352029 by ankor@dixie-net.com(15624)   on 2011-11-22 21:17:21 (Show Source): You can put this solution on YOUR website!The state owes me interest on a claim which is \$90,000 and they owe the interest over 3 years, if they give me 4% interest how much do they owe me : If it is compounded annually, A = 90000*(1.04)^3 A = \$101,237.76
 Travel_Word_Problems/535914: If Kyle drove the first 40 miles and I droved the last leg of the drive. Taking the same route home Kyle drove the first leg and I drove the last 50 miles. Who drove the most and by how much? I have tried putting this into a trigonometry distance formula as well as an algerbraic formula (40x=50x) then dividing them both by 50 which will become: x=40x/50, I configured it to x=.8x. I am lost on where to go from there if I am even on the correct track. Thank you for your time and help.1 solutions Answer 352027 by ankor@dixie-net.com(15624)   on 2011-11-22 21:12:23 (Show Source): You can put this solution on YOUR website!If Kyle drove the first 40 miles and I droved the last leg of the drive. Taking the same route home Kyle drove the first leg and I drove the last 50 miles. Who drove the most and by how much? : Let h = dist of the last leg of the outbound trip (which he drove) then (h+40) = total one-way distance : "Taking the same route home Kyle drove the first leg and I drove the last 50 miles." Find the dist Kyle drove (k) K = (h+40) - 50 k = h - 10 Therefore h drove 10 more miles than k (Kyle)
 Systems-of-equations/535686: Write an equation of the line that passes through the point (3,0) and has the slope, m = -2. Thanks for your help :] 1 solutions Answer 352020 by ankor@dixie-net.com(15624)   on 2011-11-22 19:27:14 (Show Source): You can put this solution on YOUR website!Write an equation of the line that passes through the point (3,0) and has the slope, m = -2. : Use the point/slope formula: y - y1 = m(x - x1) in this problem m = -2 x1 = 3 y1 = 0 : y - 0 = -2(x - 3) y = -2x + 6; is the equation
 Equations/535794: I have an exam in just a little more than an hour. I am going over my review for the exam and there are 2 problems that I have the answers for, because they have given us that but I need to know how to go about solving the probelems. Anyone's help is greatly appreciated!!! _x+4_ = _x+10___ x-3 x+2 Not sure if this makes any sense... I am not sure how to type this up.. It is fractions. x+4 is over x-3 and then it is = in the middle with x+10 above x+2. The other one that I am struggling with is this __5__ + _3__ = 1 3x x This is the same it is a fraction but instead of it being a fraction at the end it is an equals sign with a 1. Thanks so much!1 solutions Answer 352004 by ankor@dixie-net.com(15624)   on 2011-11-22 15:57:03 (Show Source): You can put this solution on YOUR website! = Cross multiply (x+4)(x+2) = (x-3)(x+10) FOIL x^2 + 2x + 4x + 8 = x^2 + 10x - 3x - 30 x^2 + 6x + 8 = x^2 + 7x - 30 Combine the x's on the left, combine the numbers on the right x^2 - x^2 + 6x - 7x = -30 - 8 -x = -38 which is x = 38 Check this in the original problem : + = 1 Multiply by 3x 3x* + 3x* = 3x(1) Cancel the denominators, and you have: 5 + 3(3) = 3x 14 = 3x x = 14/3 x = 4 : : Check this in the original, you can use 4.67 to do this on a calc, it should be very close to 1
 Linear-systems/535652: I honestly have no idea what toopic this question would fall under... Solve this system of equations using substitution. Put your answer in ordered pair form, (x, y). x + 2y = 7 and 2x + y = 8 I can't figure out how to do it. I've tried to many times, but I can't figure it out. Can you please help me?1 solutions Answer 351998 by ankor@dixie-net.com(15624)   on 2011-11-22 15:19:48 (Show Source): You can put this solution on YOUR website!Solve this system of equations using substitution. Put your answer in ordered pair form, (x, y). x + 2y = 7 2x + y = 8 we can use the 2nd equation for substitution 2x + y = 8 Subtract 2x from both sides y = -2x + 8 : Now we can substitute (-2x+8) for y in the 1st equation x + 2y = 7 x + 2(-2x+8) = 7 x - 4x + 16 = 7 subtract 16 from both sides x - 4x = 7 - 16 do the math -3x = -9 x has to be positive, multiply both sides by -1, this changes the signs 3x = 9 divide both sides by 3 x = 9/3 x = 3 : We can use the equation y =-2x+8, to find y, replace x with 3 y = -2(3) + 8 y = -6 + 8 y = 2 : the x,y form (3,2) : : Check our solutions in the 1st equation x + 2y = 7 replace x and y with our solutions 3 + 2(2) = 7 3 + 4 = 7, confirms our solution ; Are you understanding this better now, any questions?
 Average/535651: I am learning division of fractions, and I have an application problem that I do not understand. A 5/8 karat diamond was purchased for \$1200. What would a similar diamond weighing 1 karat cost? thank you for your help, Kristie1 solutions Answer 351997 by ankor@dixie-net.com(15624)   on 2011-11-22 15:06:29 (Show Source): You can put this solution on YOUR website!A 5/8 karat diamond was purchased for \$1200. What would a similar diamond weighing 1 karat cost? : Let x = cost of a 1 carat diamond then x = 1200 multiply both sides by 8 5x = 8(1200) 5x = 9600 Divide both sides by 5 x = x = \$1920 for a 1 carat
 Travel_Word_Problems/535638: If one has already has already driven one mile at 30 mph, how fast must one drive the second mile so that the average speed for the trip equals 60 mph1 solutions Answer 351994 by ankor@dixie-net.com(15624)   on 2011-11-22 14:52:43 (Show Source): You can put this solution on YOUR website!If one has already has already driven one mile at 30 mph, how fast must one drive the second mile so that the average speed for the trip equals 60 mph : this is not possible, the time used for the 1st mile, would be the time required to run 2 mi, : The equation for this: time = dist/speed, x = speed required to accomplish this + = multiply by 60x, results 2x + 60 = 2x; obviously, not possible
 Percentage-and-ratio-word-problems/535592: It takes Mr. Soriano 4 days longer to prepare an order of pies than it takes Mrs. Pascual. Together they baked some pies for 2 days and then Mrs. Pascual left. Mr. Soriano took 7 additional days to complete the order of pies. Working alone, how long would it have taken Mrs. Pascual to prepare the pies?1 solutions Answer 351962 by ankor@dixie-net.com(15624)   on 2011-11-22 09:44:55 (Show Source): You can put this solution on YOUR website!It takes Mr. Soriano 4 days longer to prepare an order of pies than it takes Mrs. Pascual. Together they baked some pies for 2 days and then Mrs. Pascual left. Mr. Soriano took 7 additional days to complete the order of pies. Working alone, how long would it have taken Mrs. Pascual to prepare the pies? : Let p = Mrs. time to make the pies alone then (p+4) = Mr. time to do it Let the completed job = 1, (an order of pies) : A shared work equation, Mr. worked to total of 9 days : + = 1 multiply by p(p+4) 9p + 2(p+4) = p(p+4) 9p + 2p + 8 = p^2 + 4p 11p + 8 = p^2 + 4p combine like terms on the right 0 = p^2 + 4p - 11p - 8 A quadratic equation p^2 - 7p - 8 = 0 Factors to (p-8)(p+1) = 0 the positive solution is all we want here p = 8 days for Mrs. working alone
 Travel_Word_Problems/535236: A car traveled 462 km in 7 h. for the last 3 h of the trip its average speed was 20 km/h less than twice its average speed for the first 4 h. find the two speeds at which the car traveled. (using uniform motion)1 solutions Answer 351895 by ankor@dixie-net.com(15624)   on 2011-11-21 21:01:54 (Show Source): You can put this solution on YOUR website!A car traveled 462 km in 7 h. for the last 3 h of the trip its average speed was 20 km/h less than twice its average speed for the first 4 h. find the two speeds at which the car traveled. (using uniform motion) : Let s = car speed the 1st 4 hrs then (2s-20) = speed the last 3 hrs" : Write a distance equation; dist = speed * time : 4s + 3(2s-20) = 462 4s + 6s - 60 = 462 10s = 462 + 60 10s = 522 s = 522/10 s = 52.2 km/hr the 1st 4 hrs then 2(52.2) - 20 = 84.4 km/hr the last 3 hrs : : You can check these solutions, find the distance at each speed, should equal 462 km
 Travel_Word_Problems/534921: How long does it take to travel 12 miles traveling at 10 miles per hour?1 solutions Answer 351795 by ankor@dixie-net.com(15624)   on 2011-11-21 15:42:36 (Show Source): You can put this solution on YOUR website!How long does it take to travel 12 miles traveling at 10 miles per hour? time = dist/speed = 1.2 hrs
 test/535043: Kayla and judy start walking the track at the same time.. But it takes Kayla 6 min to walk a track and it takes Judy 8min. How many times will they meet at the starting point?1 solutions Answer 351740 by ankor@dixie-net.com(15624)   on 2011-11-21 09:52:21 (Show Source): You can put this solution on YOUR website!Kayla and judy start walking the track at the same time.. But it takes Kayla 6 min to walk a track and it takes Judy 8min. How many times will they meet at the starting point? : This is a Least Common multiple problem: the LCM of 6 and 8 is 24 In find how many times each will walk the track in 24 min
 Rate-of-work-word-problems/535024: there were 4 workers that built A WALL IN 5 DAYS AND THERE 10 WORKERS HOW MANY DAYS DID IT TAKE THEME TO BUILT A WALL1 solutions Answer 351737 by ankor@dixie-net.com(15624)   on 2011-11-21 09:22:26 (Show Source): You can put this solution on YOUR website!there were 4 workers that built A WALL IN 5 DAYS Find how many man-days to complete wall: 4 * 5 = 20 man-days : "THERE 10 WORKERS HOW MANY DAYS DID IT TAKE THEM TO BUILd A WALL? let d = no. of days for 10 guys to do it 10d = 20 d = 2 days for 10 guys to do it : : This is in theory only, usually when you get that many together, at least two of them are goof-offs. If they are city workers, the no. of goof-offs will quadruple. : However, your teacher probably is not interested in the social aspect of the situation, have a Blessed Thanksgiving! C
 Linear-systems/535025: Please Solve by Elimination -3x-5y+3z=-2 4x+4y+2z=6 x-2y-3z=-5 Please help me to figure out this problem, I dont even know where to begin. 1 solutions Answer 351736 by ankor@dixie-net.com(15624)   on 2011-11-21 09:03:15 (Show Source): You can put this solution on YOUR website!Solve by Elimination -3x - 5y + 3z =-2 4x + 4y + 2z = 6 x - 2y - 3z =-5 : Multiply the 3rd equations and add -3x - 5y + 3z =-2 4x + 4y + 2z = 6 -x + 2y + 3z = 5 ---------------------adding eliminates x 0 + y + 8z = 9 y = (9-8z) : Multiply the 3rd equation by 3 add to the first equation -3x - 5y + 3z =-2 3x - 6y - 9z =-15 ---------------------adding eliminates x 0 - 11y - 6z = -17 replace y with (9-8z) -11(9-8z) - 6z = -17 -99 + 88z - 6z = -17 82z = -17 + 99 82z = 82 z = 1 : find y: y = (9-8z) y = 9 - 8(1) y = 1 : I'll let you find x, check the solutions in the original equations (Don't be surprised if x=0)
 test/534999: If there 5/8 of girls in a choir plus 12 more boys, how many kids are there?1 solutions Answer 351733 by ankor@dixie-net.com(15624)   on 2011-11-21 08:27:26 (Show Source): You can put this solution on YOUR website!let x = total n. of kids : x = x + 12 multiply by 8 to get rid of the denominators 8x = 5x + 96 8x - 5x = 96 3x = 96 x = 32 kids ; ; Check this: *32 + 12 = 5(4) + 12 = 32
 Expressions-with-variables/534977: Substitution Problem: 2x + 3y= 1 and -x + 1/3y= 5 The answer in the book says (-4,3) but i didn't get that when i did it! Please explain. 1 solutions Answer 351732 by ankor@dixie-net.com(15624)   on 2011-11-21 08:21:03 (Show Source): You can put this solution on YOUR website!Problem: 2x + 3y = 1 -x + 1/3y= 5 : Multiply the 2nd equation by -9, then you have 2x + 3y = 1 9x - 3y = -45 ---------------- addition eliminates y, find x 11x = -44 x = x = -4 : Find x using the 1st equation 2x + 3y = 1 2(-4) + 3y = 1 -8 + 3y = 1 3y = 1 + 8 3y = 9 y = 3
 Miscellaneous_Word_Problems/534302: Find 2 positive real numbers whose product is the maximum given that the sum is twice the first and three times the second is 481 solutions Answer 351672 by ankor@dixie-net.com(15624)   on 2011-11-20 22:12:53 (Show Source): You can put this solution on YOUR website!Find 2 positive real numbers whose product is the maximum given that the sum is twice the first and three times the second is 48 : Two numbers, x & y : 2x + 3y = 48 3y = -2x + 48 y = x + 16 : x*y replace y with (x+16) write an equation f(x) = x(x+16) f(x) = (x^2+16x) find the axis of symmetry, x = -b/(2a) x = x = x = -16 * x = +12 gives max on the above equation : Find y 2(12) + 3y = 48 3y = 48-24 y = 24/3 y = 8 : The two real numbers for max xy: 12,8
 Age_Word_Problems/534499: The age of the father is 3 years more than 3 times the age of his son. After there years the age of the father will be 10 years more than twice the age of the son. Find their present ages? Solution?1 solutions Answer 351597 by ankor@dixie-net.com(15624)   on 2011-11-20 13:48:52 (Show Source): You can put this solution on YOUR website!The age of the father is 3 years more than 3 times the age of his son. After three years the age of the father will be 10 years more than twice the age of the son. Find their present ages? : let f = the father's age let s = the son's age : write an equation for each statement; : "The age of the father is 3 years more than 3 times the age of his son." f = 3s + 3 : "After three years the age of the father will be 10 years more than twice the age of the son." f + 3 = 2(s+3) + 10 f + 3 = 2s + 6 + 10 f = 2s + 16 - 3 f = 2s + 13 : from the 1st statement, replace f with (3s+3) 3s + 3 = 2s + 13 3s - 2s = 13 - 3 s = 10 yrs is the son's age find Dad's age f = 3(10) + 3 f = 33 yrs is Dad's age : : Check this in the statement: "After there years the age of the father will be 10 years more than twice the age of the son. " 33 + 3 = 2(10+3) = 10 36 = 26 + 10
 Travel_Word_Problems/534356: a runner starts jogging at her house. She jogs 6 miles and then turns around and jogs back to her house. The first part of her job is mostly uphill, so her speed averages 3 miles per hour less than her returning spped. If the total time she spends jogging is 1 3/4 hours, find her speed going and her speed returning1 solutions Answer 351490 by ankor@dixie-net.com(15624)   on 2011-11-19 21:18:07 (Show Source): You can put this solution on YOUR website!a runner starts jogging at her house. She jogs 6 miles and then turns around and jogs back to her house. The first part of her job is mostly uphill, so her speed averages 3 miles per hour less than her returning speed. If the total time she spends jogging is 1 3/4 hours, find her speed going and her speed returning : let s = the uphill speed then (s+3) = the downhill speed : Change time to 1.75 hrs : Write a time equation, time = dist/speed : Up time + down time = total time + = 1.75 multiply by s(s+3) to clear the denominators, results: 6(s+3) + 6s = 1.75s(s+3) 6s + 18 + 6s = 1.75s^2 + 5.25s Combine like terms 0 = 1.75s + 5.25s - 12s - 18 1.75s - 6.75s - 18 = 0 Use the quadratic formula to find s x = s; a=1.75, b=-6.75, c=-18 You can do the rather tedious math here, you should get a positive solution s = 5.67 mph, the speed uphill, and obviously, 8.67 mph down
 Proportions/534007: A metal smith wishes to create an alloy of 20%,silverand12% gold. She has three raw materials to work with. One is 10%,silverand10% gold the second is 25%,silverand10% gold, and the final metal is 30%,silverand15% gold. In what proportions should she combine the three to produce the desired alloy? 1 solutions Answer 351476 by ankor@dixie-net.com(15624)   on 2011-11-19 20:24:56 (Show Source): You can put this solution on YOUR website!A metal smith wishes to create an alloy of 20% silver and 12% gold. One is 10% silver and 10% gold the second is 25% silver and 10% gold, and the final metal is 30% silver and 15% gold. In what proportions should he combine the three to produce the desired alloy? : Let a = amt of 1st alloy let b = amt of 2nd let c = amt of 3rd : Let's assign a value to the resulting amt. 120 units is good value Obviously besides gold and silver, a percentage of filler is in each alloy The remaining amt when you subtract the silver and gold. : Write an equation for each substance Silver: .10a + .25b + .30c = .20(120) .10a + .25b + .30c = 24 Gold: .10a + .10b + .15c = .12(120) .10a + .10b + .15c = 14.4 Filler: .80a + .65b + .55c = .68(120) .80a + .65b + .55c = 81.6 : Subtract the 2nd equation from the 1st .10a + .25b + .30c = 24 .10a + .10b + .15c = 14.4 ----------------------------subtraction eliminates a .15b + .15c = 9.6 : Multiply the 2nd equation by 8, subtract the 3rd equation .80a + .80b + 1.2c = 115.2 .80a + .65b + .55c = 81.6 -----------------------------subtraction eliminates a .15b + .65c = 33.6 .15b + .15c = 9.6 ------------------Subtraction eliminates b, find c .50c = 24 c = 48 units of the 3rd alloy Find b .15b + .15(48) = 9.6 .15b = 9.6 - 7.2 .15b = 2.4 b = 2.4/.15.10a + .25b + .30c = 24 b = 16 units of the 2nd alloy : Find a .10a + .25b + .30c = 24 .10a + .25(16) + .30(48) = 24 .10a + 4 + 14.4 = 24 .10a = 24 - 18.4 .10a = 5.6 a = 56 units of the 1st alloy : a:b:c 56:16:48 reduce using 8 as a divisor 7:2:6 is the proportion of the 3 alloys : I'll let you confirm that the math is correct here
 Average/533982: what is the score for missing 40 question out of 68 1 solutions Answer 351323 by ankor@dixie-net.com(15624)   on 2011-11-19 07:29:04 (Show Source): You can put this solution on YOUR website!what is the score for missing 40 question out of 68? : * 100 = 41.2 %
 Polynomials-and-rational-expressions/534072: Factor completely. Remember to look first for a common factor and to check by multiplying. If a polynomial is prime, state this. -36a^2 -96ab - 64b^21 solutions Answer 351263 by ankor@dixie-net.com(15624)   on 2011-11-18 21:52:52 (Show Source): You can put this solution on YOUR website!-36a^2 -96ab - 64b^2 : Factor out -4, -4(9a^2 + 24ab + 16b^2) : -4 times a perfect square -4(3a+4b)(3a+4b)
 Geometry_Word_Problems/534021: The water depth d, in feet, at which a wave breaks varies directly with the height h, in feet, of the wave. A 6.5 foot wave breaks at a water depth of 8.45 feet. a. Write a linear model that gives d as a function of h. b. If a wave breaks at a depth of 5.2 feet, what is its height? 1 solutions Answer 351262 by ankor@dixie-net.com(15624)   on 2011-11-18 21:47:51 (Show Source): You can put this solution on YOUR website!The water depth d, in feet, at which a wave breaks varies directly with the height h, in feet, of the wave. A 6.5 foot wave breaks at a water depth of 8.45 feet. : a. Write a linear model that gives d as a function of h. let k = the constant of variation d = kh 8.45 = 6.5k k = k = 1.3 d = 1.3h : b. If a wave breaks at a depth of 5.2 feet, what is its height? 1.3h = 5.2 h = h = 4 ft is the height of the wave, if the depth is 5.2 ft
 Travel_Word_Problems/533970: If a car is traveling 40 mi/hour. What is the car's speed in feet per second?1 solutions Answer 351254 by ankor@dixie-net.com(15624)   on 2011-11-18 21:26:32 (Show Source): You can put this solution on YOUR website!If a car is traveling 40 mi/hour. What is the car's speed in feet per second? : Multiply by 5280 ft then divide by 3600 to get per second = 58.67 ft/sec