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# Recent problems solved by 'scott8148'

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 Graphs/355487: Find the equation of the circle whose endpoints on a diameter are (3,-1) and (-5, -7) Please show work. Thank you!!1 solutions Answer 253894 by scott8148(6628)   on 2010-10-12 21:45:04 (Show Source): You can put this solution on YOUR website!the center of the circle is the midpoint of the diameter (the averages of the x-coordinates and the y-coordinates) use the distance formula to find the radius squared
 Graphs/355488: I'm not sure where to begin with this... Write the equation of a circle whose center is (9,11) and whose diameter is 12. Please show work. Thank you!1 solutions Answer 253892 by scott8148(6628)   on 2010-10-12 21:41:22 (Show Source): You can put this solution on YOUR website!a general equation for a circle centered at (h,k) with a radius of r is: (x - h)^2 + (y - k)^2 = r^2
 Quadratic_Equations/355495: Hi, I'm being asked to solve for x by completing the square: -2x^2 + 12x - 6 = 0 -2x^2 + 12x = 6 < I moved the 6 to the other side x^2 - 6x = -3 < I divided everything by -2 to get the x^2 by itself x^2 - 6x + 9 = 6 < I took half of the coefficient 6 (6/2 = -3), squared it (9), and added it to both sides of the equation This is where I get stuck. I'm supposed to write the left side in squared form, but because there is a plus and minus, it wouldn't be just one factor squared. Would I write this as (x-3)(x+3)? If so, how would I take the square root of that? Thanks for any guidance you can provide!1 solutions Answer 253889 by scott8148(6628)   on 2010-10-12 21:37:35 (Show Source): You can put this solution on YOUR website!(x - 3)^2 = 6 x - 3 = ± sqrt(6) x = 3 ± sqrt(6)
 Travel_Word_Problems/355522: Ive been having a hard time answering this question, and i cant figure it out. A pilot flew a jet from city A to city B, a distance of 2400 mi. On the return trip, the average speed was 20% faster than the outbound speed. The round-trip took 3 h 40 min. What was the speed from city A to city B?1 solutions Answer 253887 by scott8148(6628)   on 2010-10-12 21:31:03 (Show Source): You can put this solution on YOUR website!t = d / r ___ 3h 40m = 8/3 h (2400 / x) + [2400 / (1.2x)] = 8/3
 Linear-equations/355528: I am trying to help my son and I am lost. He is working on linear equations. Here it is: The cost of a taxi ride is an initial fee plus \$1.50 for each mile. Your fare for 9 miles is \$15.50 Write an equation that models the total cost Y of a taxi ride in terms of the number of miles X. How much is the initial fee? I can't help him, because I don't understand any of this.1 solutions Answer 253885 by scott8148(6628)   on 2010-10-12 21:26:36 (Show Source): You can put this solution on YOUR website!Y = 1.5 X + I 15.5 = (1.5)(9) + I 15.5 = 13.5 + I 2 = I Y = 1.5 X + 2
 Numbers_Word_Problems/354928: The answer is a 3 digit odd number. The number in the tens place is half of the ones place. The number in the hundreds place is half of the tens place. If you add all 3 numbers you get 14. The number is between 200 and 300. A friend called and asked me for help with this question. I know I should be able to figure this out but my brain is just not working tonight. Thanks, Terry1 solutions Answer 253537 by scott8148(6628)   on 2010-10-11 20:22:47 (Show Source): You can put this solution on YOUR website!would gladly help , but ... "The answer is a 3 digit odd number." "The number in the tens place is half of the ones place." an odd number means an odd ones digit ___ half of an odd digit is not an integer
 Mixture_Word_Problems/354915: The Quick Mart has two kinds of nuts. Pecans sell for \$1.55 per pound and walnuts sell for \$1.95 per pound. How many pounds of walnuts must be added to 15 pounds of pecans to make a mixture that sells for \$1.75 per pound? I am not sure of the equation to use for this problem. Not looking for an answer just not sure of the equation to use. Thank You for your help!!!1 solutions Answer 253534 by scott8148(6628)   on 2010-10-11 20:14:42 (Show Source): You can put this solution on YOUR website!(15)(1.55) + (w)(1.95) = (15 + w)(1.75) you can look at this as a "weighted average" problem ___ since the prices of the individual nuts are the same "distance" from the mixed price ___ the amounts (weights) of the two types of nuts are equal
 Word_Problems_With_Coins/354893: a collection of 36 dimes and quarters is worth 4 dollars and 80 cents; how many dimes are there?....please I would like help over this I have a test tommorow and cant fail it or I am off the baseball team...please help1 solutions Answer 253526 by scott8148(6628)   on 2010-10-11 20:04:13 (Show Source): You can put this solution on YOUR website!"36 dimes and quarters" ___ d + q = 36 ___ 10d + 10q = 360 (A) "worth 4 dollars and 80 cents" ___ 10d + 25q = 480 (B) subtracting equation (A) from equation (B) to eliminate "d" ___ 15q = 120 ___ q = 8 substituting ___ d + (8) = 36 ___ d = 28
 Linear_Equations_And_Systems_Word_Problems/354718: I need the system of equations in two variables The total of two loans is \$321,929 The interest rate for one loan is 1.0% the other loan was at 8.8% At the end of the year a combined interest payment of \$25,677.83 was made. What are the amounts of each loan1 solutions Answer 253474 by scott8148(6628)   on 2010-10-11 17:48:58 (Show Source): You can put this solution on YOUR website!"The total of two loans is \$321,929" ___ x + y = 321929 "combined interest payment of \$25,677.83" ___ (1.0%)(x) + (8.8%)(y) = 25677.83
 Radicals/354714: How do I solve 2x to the 2/3rds, plus 3x to the 1/3rd minus 2 = Zero?1 solutions Answer 253472 by scott8148(6628)   on 2010-10-11 17:42:29 (Show Source): You can put this solution on YOUR website!x^(2/3) is the square of x^(1/3) let n=x^(1/3) 2n^2 + 3n - 2 = 0 factoring ___ (2n - 1)(n + 2) = 0 n = 1/2 ___ x^(1/3) = 1/2 ___ x = 1/8 n = -2 ___ x^(1/3) = -2 ___ x = -8
 Mixture_Word_Problems/354615: There are two acid solution available. One solution has a 5% acid concentration while the other has 15% acid concentraion. How much solution is needed to obtain 10 gallons of 8% solution?1 solutions Answer 253467 by scott8148(6628)   on 2010-10-11 17:31:20 (Show Source): You can put this solution on YOUR website!(x)(5%) + (10 - x)(15%) = (10)(8%)
 Numbers_Word_Problems/354613: Candy company needs to mix a 20% fat content chocolate with a 15% fat content chocolate to obtain 50 Kilograms of a 16% fat content chocolate. How much of the 20% and 15% chocolate blends must be used? (hint: let x represent the amount of 20% chocolate)1 solutions Answer 253465 by scott8148(6628)   on 2010-10-11 17:29:09 (Show Source): You can put this solution on YOUR website!chocolate... (x)(20%) + (50 - x)(15%) = (50)(16%)
 test/354554: Two owners of a candy store want to sell, for \$6 per pound, a mixture of chocolate covered raisins, which usually sells for \$3 per pound, and chocolate covered macadamia nuts, which usually sells for \$8 per pound. They have a 50-pound barrel of the raisins. How many pounds of nuts would they mix with the barrel of raisins so that their target value of \$6 per pound for the mixture?1 solutions Answer 253460 by scott8148(6628)   on 2010-10-11 17:21:51 (Show Source): You can put this solution on YOUR website!yum...chocolate... (50)(3) + (x)(8) = (50 + x)(6)
 Mixture_Word_Problems/354458: the radiator in natalie’s car contains 6.3 l of antifreeze and water. this mixture is 30% antifreeze. how much of this mixture should she drain and replace with pure antifreeze so that there will be a mixture of 50% antifreeze?1 solutions Answer 253459 by scott8148(6628)   on 2010-10-11 17:13:38 (Show Source): You can put this solution on YOUR website!(6.3 - x)(30%) + (x)(100%) = (6.3)(50%)
 Geometry_Word_Problems/354453: The area of a rectangle is 300 m^2. Both the length and width of the rectangle are increased by 25%. what is the area of the new rectangle? 1 solutions Answer 253457 by scott8148(6628)   on 2010-10-11 17:11:27 (Show Source): You can put this solution on YOUR website!old area = L * W = LW = 300m^2 new area = (5/4)L * (5/4)W = ?
 Problems-with-consecutive-odd-even-integers/354452: if the first and third of three consecutive odd intergers are added, the result is 57 less than five times the second interger.find the smaller interger1 solutions Answer 253456 by scott8148(6628)   on 2010-10-11 17:07:32 (Show Source): You can put this solution on YOUR website!n + (n + 4) = 5(n + 2) - 57
 Mixture_Word_Problems/354443: How many pints of a 5% antifreeze solution and how many pints of a 20% antifreeze solution must be mixed to obtain 12 pints of a 15% solution?1 solutions Answer 253451 by scott8148(6628)   on 2010-10-11 17:02:17 (Show Source): You can put this solution on YOUR website!(x)(5%) + (12 - x)(20%) = (12)(15%)
 Rate-of-work-word-problems/354673: Hello, One pipe can fill a tank in 2 h, a second pipe can fill the tank in 4 h, and a third pipe can fill the tank in 5 h. How long will it take to fill the tank with all three pipes working? Okay, so this is how I thought it might look like: 1/2 + 1/4 + 1/5 = 3 Then I multiplied all of them by the LCM 20. However, when I was done my answer came out to be 60/19 and that just does not seem right to me. Hope you can help me with this problem! Thank you for your time = )1 solutions Answer 253447 by scott8148(6628)   on 2010-10-11 16:48:16 (Show Source): You can put this solution on YOUR website!you're kind of on the right track each pipe fills some FRACTION of the pool based on the individual times ___ the fractions sum to one ,the WHOLE pool x = combined time (x / 2) + (x / 4) + (x / 5) = 1
 Quadratic_Equations/354730: We have been working on factoring trinomials and the problem I don't know how to solve is (x^2+4x-4)^2=64. I think what we're supposed to do is divide the exponent off both sides but I'm not sure. Were I get stuck is you're left with x^2+4x-4 on one side and that doesn't facter into two binomials. HELP ME!1 solutions Answer 253445 by scott8148(6628)   on 2010-10-11 16:39:13 (Show Source): You can put this solution on YOUR website!taking square root ___ x^2 + 4x - 4 = ±8 x^2 + 4x - 4 = 8 ___ x^2 + 4x - 12 = 0 x^2 + 4x - 4 = -8 ___ x^2 + 4x + 4 = 0 now factor both ...
 Mixture_Word_Problems/354736: how much pure acid should be mixed with 3 gallons of a 50% acid solution to get an 80% acid solution? 1 solutions Answer 253441 by scott8148(6628)   on 2010-10-11 16:29:58 (Show Source): You can put this solution on YOUR website!(x)(100%) + (3)(50%) = (3 + x)(80%)
 Linear_Equations_And_Systems_Word_Problems/354752: A dehydrated patient needs a 3.82% saline IV. Unfortunately, the hospital only has bags of 4% and 3% saline solutions. How many liters of each of these solutions should be mixed together to yield 5 liters of the desired concentration? So far I've come up with this: x= 4% solution; y= 3% solution x + y = 5 4x + 3(5-x) = 3.82 4x + 15 -3x = 3.82 subtracting 15 from both sides 1x = -11.18 x= -11.181 solutions Answer 253438 by scott8148(6628)   on 2010-10-11 16:28:08 (Show Source): You can put this solution on YOUR website!4x + 3(5-x) = 3.82 * 5 ___ this should get you to the answer
 Triangles/354477: Please help! My house is 10 miles from the airport. A plane took off from the airport and when it was directly over my house it had traveled 12 miles. How many miles high is the airplane when it is directly over my house?1 solutions Answer 253296 by scott8148(6628)   on 2010-10-11 00:16:18 (Show Source): You can put this solution on YOUR website!the plane's path is the hypotenuse of a right triangle the distance to the airport is one leg , and the height of the plane is the other by Pythagoras ___ 10^2 + h^2 = 12^2
 Word_Problems_With_Coins/354441: A vending machine accepts nickel, dimes and quarters. At the end of the day, there were three more dimes that nickels and four fewer quarters than nickels. if the total value of the coins was \$4.10, find the number of each type of coins. Will you please show me how to get the answer to the above promblem. Thank you in advance. 1 solutions Answer 253294 by scott8148(6628)   on 2010-10-11 00:11:18 (Show Source): You can put this solution on YOUR website!"three more dimes that nickels" ___ d = n + 3 "four fewer quarters than nickels" ___ q = n - 4 "total value of the coins was \$4.10" ___ 5n + 10d + 25q = 410 substituting ___ 5n + 10(n + 3) + 25(n - 4) = 410 ___ 5n + 10n + 30 + 25n - 100 = 410 40n = 480 ___ n = 12 d = (12) + 3 = 15 q = (12) - 4 = 8
 Linear-equations/354401: the band is selling gift wrap. the gift wrap sold in solid colors for \$4.00 and print for \$6.00 per roll. The total number of rolls sold was 480, total amount of money was \$2340. How many rolls of each kind were sold? I did trial and error and found that 165 of 4 and 280 of \$6 = 2340 but I do not know how to solve the correct way?1 solutions Answer 253260 by scott8148(6628)   on 2010-10-10 21:02:05 (Show Source): You can put this solution on YOUR website!but your "solution" does not have the correct number of rolls s + p = 480 4s + 6p = 2340 solve by substitution or elimination multiplying the 1st equation by -4 ___ -4s - 4p = -1920 adding to the 2nd equation (to eliminate s)___ 2p = 420
 Polynomials-and-rational-expressions/354412: Please help-I am stuck. Find the restricted values of x for the given rational expression. x^2 + 15 divided by x^2-3x-41 solutions Answer 253258 by scott8148(6628)   on 2010-10-10 20:53:41 (Show Source): You can put this solution on YOUR website!restricted values usually involve division by zero (a no-no) factoring the denominator ___ (x + 1)(x - 4) so if x equals -1 or 4 , the denominator will equal zero and the expression will be undefined
 Linear-systems/354409: I am trying to explain this to my son, but he is not getting how I am explaining it. Here is the question: The equation y=1.95x + 18 is used to model the relationship between the number of people fed by each farm worker and the time elapsed since 1950. What question is being asked in the equation y=1.95(10) + 18? What is the answer?1 solutions Answer 253256 by scott8148(6628)   on 2010-10-10 20:49:46 (Show Source): You can put this solution on YOUR website!the (10) in the equation is elapsed time since 1950 so the question is ___ how many people were fed by each farm worker in 1960? the answer is the solution of the equation (the value of y when x is 10)
 Probability-and-statistics/354408: What are the chance of getting 5 red cards out of a 52 card deck? How do u work this problem1 solutions Answer 253254 by scott8148(6628)   on 2010-10-10 20:44:28 (Show Source): You can put this solution on YOUR website!ways of getting 5 cards out of 52 ___ 52C5 ways of getting 5 red cards out of 26 ___ 26C5 probability of 5 red out of 52 ___ (26C5) / (52C5)
 expressions/354403: Please help me with this problem, I am getting a bruise on my forehead from beating it on my desk! Evaluate 44 ft/s * 1 mi/5,280 ft *3600 s/h. be sure to use the proper units. Thank you for your help in this!1 solutions Answer 253252 by scott8148(6628)   on 2010-10-10 20:39:56 (Show Source): You can put this solution on YOUR website!this is converting feet per second into miles per hour the measurement units cancel just like numbers in the fractions 44 divided by 5280 , then multiplied by 3600 the units will be ___ mi/h
 Numbers_Word_Problems/354343: Please, I need to solve this problem: the sum of the digits of a two digit number is 7. When you reverse the digits you decrease the number by 45. Find the number.1 solutions Answer 253227 by scott8148(6628)   on 2010-10-10 19:08:41 (Show Source): You can put this solution on YOUR website!t=ten's digit , u=unit's digit t + u = 7 ___ t = 7 - u 10t + u = 10u + t + 45 substituting ___ 10(7 - u) + u = 10u + (7 - u) + 45 solve for u , and then substitute to find t
 Rational-functions/354336: suppose that f and g are functions. Suppose further that we can write g in terms of f as follows: g(x)=f(x-3)+5 List a sequence of transformations that will transform the graph of f into a graph of g. I am at a loss of how to even break this down into a description with words. Can anyone explain this to me? Thank you, thank you in advance.1 solutions Answer 253225 by scott8148(6628)   on 2010-10-10 19:00:48 (Show Source): You can put this solution on YOUR website!to get the g function from the f function ___ you take the f of 3 less than the argument , and then add 5 from a graphing standpoint, ___ reducing the argument (x) by 3 , moves the f(x) graph 3 units to the left ___ adding 5 moves the f(x) graph 5 units up
 Quadratic_Equations/354318: I am supposed to find all #s for which rational expression is unidentified. (q^3-6q)/(q^2-9) I got q(q^2-6)/(q+3)(q-3). Is this right? Does it mean the solutions that are unidentified are 3 and -3?? Because they would make the denominator zero?1 solutions Answer 253224 by scott8148(6628)   on 2010-10-10 18:47:12 (Show Source): You can put this solution on YOUR website!yes division by zero is a no-no (undefined)