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# Recent problems solved by 'edjones'

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 Radicals/379691: An inlet pipe can fill a tank in 8 minutes. A drain can empty the tank in 12 mintes. If the tank is empty and both the pipe and drain are open, how long will it take before the tank overflows? Thanks! 1 solutions Answer 269594 by edjones(7569)   on 2010-12-02 13:15:34 (Show Source): You can put this solution on YOUR website!Let t = time in minutes 1/8 - 1/12 = 1/t 3/24 - 2/24 = 1/24 1/24 of the job of filling the tank is done in one minute 24 min to fill the tank. . Ed
 Probability-and-statistics/379714: Write the first four terms in the expansion of each of the following. (a-b)^121 solutions Answer 269592 by edjones(7569)   on 2010-12-02 13:04:45 (Show Source): You can put this solution on YOUR website!a^12-12a^11b+66a^10b^2-220a^9b^3
 Probability-and-statistics/379722: Find and simplify the specified term in each expansion. The term containing b^13 in (a-b)^151 solutions Answer 269591 by edjones(7569)   on 2010-12-02 13:01:01 (Show Source): You can put this solution on YOUR website! b^13 in (a-b)^15 - 15C13 *a^2b^13 = -105*a^2b^13 . Ed
 Sequences-and-series/379646: A rose garden has 21 bushes in one row, 17 bushes in the next row, then 13, and so on. If there are 66 bushes in the garden, in how many rows are they planted? 1 solutions Answer 269585 by edjones(7569)   on 2010-12-02 12:50:13 (Show Source): You can put this solution on YOUR website!Aritmetic sequence: c=a[1]-d c=21-(-4)=25 . a[n]=dn+c a[n]=-4n+25 . (n/2)(a[1]+a[n])=S[n] (n/2)(21-4n+25)=66 n(46-4n)=132 46n-4n^2=132 4n^2-46n+132=0 2n^2-23n+66=0 (n-6)(2n-11)=0 n=6 rows . Ed
 Miscellaneous_Word_Problems/379627: A collection of dimes is arranged in a triangular array with 18 coins in the base row, 17 in the next, 16 in the next, and so forth. Find the value of the collection. I am looking through my text and cannot find an explanation anywere, I appreciate the help 1 solutions Answer 269572 by edjones(7569)   on 2010-12-02 11:24:45 (Show Source): You can put this solution on YOUR website!Find the sum of the arithmetic sequence and multiply it by .10 S[18]=18/2(1+18) =9*19 =171 =\$17.10 . Ed
 Polynomials-and-rational-expressions/379643: Hey! I am a college student who is practicing for her exam by using a study guide. Right now I need help with factoring polynomials. I've tried solving these two problems but im really just guessing. The questions are: 1) 5x + 35 + xy + 7y 2) x^2 + x -56 If someone could help i would be so grateful!! I missed the day when we covered factoring polynomials and have never quite understood it.1 solutions Answer 269570 by edjones(7569)   on 2010-12-02 10:57:59 (Show Source): You can put this solution on YOUR website!1) 5x + 35 + xy + 7y =5(x+7)+y(x+7) Factoring by grouping. =(5+y)(x+7) . Ed
 logarithm/379642: log[x](1/16)=-21 solutions Answer 269569 by edjones(7569)   on 2010-12-02 10:53:05 (Show Source): You can put this solution on YOUR website!log[x](1/16)=-2 4^(-2)=1/16 4=answer . Ed
 Age_Word_Problems/379352: Three years from now, Bob will be three times as old as he was three years ago. How old is Bob now?1 solutions Answer 269366 by edjones(7569)   on 2010-12-01 21:25:18 (Show Source): You can put this solution on YOUR website!Let b=bob's age now. b+3=3(b-3) b+3=3b-9 -2b=-12 b=6 y. o. . Ed
 Linear-equations/379356: What is the slope that passes through each of these pair points? (12,-4), (7-1)1 solutions Answer 269365 by edjones(7569)   on 2010-12-01 21:21:11 (Show Source): You can put this solution on YOUR website!(12,-4), (7-1) m = -1-(-4) / (7-12) =3/-5 =-3/5 . Ed
 Proportions/379357: what is the average speed in km/h if a car covers 11km in 14 minutes1 solutions Answer 269360 by edjones(7569)   on 2010-12-01 21:16:54 (Show Source): You can put this solution on YOUR website!x/60 = 11/14 x=(60*11)/14 =47.14 km/h . Ed
 Inequalities/379366: x - 8 > - 5(x+3) what is the solution using set builder notation?1 solutions Answer 269356 by edjones(7569)   on 2010-12-01 21:07:41 (Show Source): You can put this solution on YOUR website!x - 8 > - 5(x+3) x-8>-5x-15 6x>-7 x>-7/6 X(-7/6, infinity) . Ed
 Probability-and-statistics/379376: An organization raises a money by selling 3000 raffle tickets. Three prizes are winning 1500, 500, 250. 1. What is a 'fair price' to pay for a ticket? 2. If the organization charges the fair price. What is the profit made?1 solutions Answer 269349 by edjones(7569)   on 2010-12-01 20:46:53 (Show Source): You can put this solution on YOUR website!1500+500+250=2250 1) 2250/3000=\$0.75 Fair price for a ticket. 2) None. . Ed
 expressions/379378: 6x/161 solutions Answer 269344 by edjones(7569)   on 2010-12-01 20:42:15 (Show Source): You can put this solution on YOUR website!6x/16 =3x/8
 percentage/379373: If p is 75% of q , the q is what percent of p?1 solutions Answer 269342 by edjones(7569)   on 2010-12-01 20:38:01 (Show Source): You can put this solution on YOUR website!p=.75q q=p/.75 or 133.33% of p . Ed
 Word_Problems_With_Coins/378371: In how many ways can \$10.00 be changed into quarters and dimes with at least one of each coin being used?1 solutions Answer 268830 by edjones(7569)   on 2010-11-30 16:37:39 (Show Source): You can put this solution on YOUR website!There have to be an even number of quarters. 10/.5=20-1=19 ways There can't be all quarters, hence the -1. . Ed
 Parallelograms/378326: Before 1918, approximately 60% of the wolves in the New Mexico and Arizona region were male, and 40% were female. However, cattle ranchers in this area have made a determined effort to exterminate wolves. From 1918 to the present, approximately 67% of wolves in the region are male, and 33% are female. Biologists suspect that male wolves are more likely than females to return to an area where the population has been greatly reduced. (Round your answers to four decimal places.) (a) Before 1918, in a random sample of 9 wolves spotted in the region, what is the probability that 6 or more were male? What is the probability that 6 or more were female? What is the probability that fewer than 3 were female? (b) For the period from 1918 to the present, in a random sample of 9 wolves spotted in the region, what is the probability that 6 or more were male? What is the probability that 6 or more were female? What is the probability that fewer than 3 were female?1 solutions Answer 268826 by edjones(7569)   on 2010-11-30 16:29:58 (Show Source): You can put this solution on YOUR website!Expand (x+y)^9 x^9+9x^8y+36x^7y^2+84x^6y^3 Use this for a & b 1. x^9+9x^8y+36x^7y^2 Use this for a & b 2. Use the percentage figures above in decimal form. Answers: a) .0994 .2318 b) .0404 .3854 . Ed
 Probability-and-statistics/378309: According to company reports, the current mix of colors for M&M dark chocolate candies is: 20% yellow, 10% red, 15% orange, 10% blue, 25% green, with the rest being brown. A. If a single piece is taken from a bag of 600 pieces, find the following probabilities: a. P (red) b. P (brown) c. P (blue or orange) d. P (NOT red) e. P (NOT brown) f. P (red and green) B. If two pieces are taken from a 600 piece bag, find the following probabilities: a. P (both are blue) b. P (the first is orange) c. P (first is red and the second is green) C. How would the process in problem #1A change if we are sampling from a “fun-size” bag which only has 12 pieces? D. How would the process in problem #1B change if we are sampling from a “fun-size” bag which only has 12 pieces? 1 solutions Answer 268816 by edjones(7569)   on 2010-11-30 16:02:16 (Show Source): You can put this solution on YOUR website!100-20-10-15-10-25=20% are brown 600*.2=120 yellow 600*.1= 60 red 600*.15=90 orange 600*.10=60 blue 600*.25=150 green 600*.2=120 brown . B) 1) 60/600 * 59/599 = .0098 2) 90/600 = .15 3) 60/600 * 150/599 = .0250 . Ed
 Permutations/378342: A commitee is to consist of three members. If there are three men and five woman availiable to serve on the committee, how many different committees can be formed, using Combination?1 solutions Answer 268813 by edjones(7569)   on 2010-11-30 15:46:17 (Show Source): You can put this solution on YOUR website!nCr= =8C3 =8!/(5!*3!) =56 different committees. . Ed
 Parallelograms/378323: The college student senate is sponsoring a spring break Caribbean cruise raffle. The proceeds are to be donated to the Samaritan Center for the Homeless. A local travel agency donated the cruise, valued at \$2000. The students sold 2748 raffle tickets at \$5 per ticket. (a) Kevin bought thirty-three tickets. What is the probability that Kevin will win the spring break cruise to the Caribbean? What is the probability that Kevin will not win the cruise? (b) Kevin's expected earnings can be found by multiplying the value of the cruise by the probability that Kevin will win. What are Kevin's expected earnings? Is this more or less than the amount Kevin paid for the thirty-three tickets? more less How much did Kevin effectively contribute to the Samaritan Center for the Homeless? (Round your answer to two decimal places.)1 solutions Answer 268812 by edjones(7569)   on 2010-11-30 15:42:25 (Show Source): You can put this solution on YOUR website!a) 33/2748 = .012 1-.012=.988 the probability that Kevin will not win the cruise. . b) 2000*.012=\$24. expected earnings . Ed
 test/378331: Recipe calls for six pounds of meat. If you use a 3 to 1 ratio of beef to pork how much pork is used 1 solutions Answer 268810 by edjones(7569)   on 2010-11-30 15:31:19 (Show Source): You can put this solution on YOUR website!3+1=4 6/4=1.5 lbs.
 Permutations/378337: A reading list for a course in world literature has 20 books on it. How many ways can you choose 4 books to read, using Combinations?1 solutions Answer 268809 by edjones(7569)   on 2010-11-30 15:29:19 (Show Source): You can put this solution on YOUR website!nCr=n!/((n-r)!r!) 20C4=20!/(16!*4!) =4,845 ways . Ed
 Numbers_Word_Problems/378333: its a three digit number, its divisable by 5 it an odd number each of is digits are different,its tens digitis less than its ones digit,its hundreds digit is less than its tens digit, its greater than 200 its divisable by 3 it has 2 odd numbers and its tens digit is a 4 . What it the number?1 solutions Answer 268808 by edjones(7569)   on 2010-11-30 15:25:50 (Show Source): You can put this solution on YOUR website!345
 expressions/377970: Thank you for being available this evening, I wanted to know about the 'signs' in between algebra problems with brackets. Here is my example problem: [3(x+2)+2x]-[4(y+2)-3(y-2)] Will the minus sign between the problems on the left and right side change the answer at all? Or will it make a difference in the outcome?1 solutions Answer 268545 by edjones(7569)   on 2010-11-29 20:59:27 (Show Source): You can put this solution on YOUR website![3(x+2)+2x]-[4(y+2)-3(y-2)] Lets do the easy side first, the left side. [3(x+2)+2x] =3x+6+2x work on the interior parentheses 1st. =5x+6 . -[4(y+2)-3(y-2)] The tough side. -[4y+8-3y+6] Notice you multipy -3 times y AND -2 which chnges the sign on both of them. -[y+14] -y-14 Ditto . 5x+6-y-14 =5x-y-8 . Ed
 test/377967: What is 12a over 5a simplified ?1 solutions Answer 268539 by edjones(7569)   on 2010-11-29 20:41:53 (Show Source): You can put this solution on YOUR website!12a/5a = 12/5
 expressions/377949: How do you solve -2/3 * (-1/3) Thank you1 solutions Answer 268537 by edjones(7569)   on 2010-11-29 20:40:52 (Show Source): You can put this solution on YOUR website!-2/3 * -1/3 =2/9 multiply the numerators times each other, then the denominators. . Ed