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# Recent problems solved by 'edjones'

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 Rate-of-work-word-problems/451383: Trying to help my little brother with his homework, with little success. Pipes A and B take 8 hours to fill a pool. Pipe A is twice the size of pipe B. How long would it take to fill the pool using only pipe A? We believe 2 + 2b = 8 would be a logical starting place, but don't know where to go from there. Thanks for any help.1 solutions Answer 310403 by edjones(7569)   on 2011-05-18 20:32:20 (Show Source): You can put this solution on YOUR website!a takes a hrs to fill the pool. b takes 2a hrs. a fills 1/a of the pool in 1 hr. b fills 1/2a of the pool in 1 hr. 1/a + 1/2a = 1/8 8+4=a multiply each side by 8a a=12 hrs . Ed
 Graphs/451412: I have a final tomorrow in 9th grade Algebra. What should I study???1 solutions Answer 310395 by edjones(7569)   on 2011-05-18 20:11:09 (Show Source): You can put this solution on YOUR website!What you don't know.
 Length-and-distance/451426: If the Volume of a rectangular solid is 160cm^3 what is the length of one side given the width = 5 and the height = 8. i tried doing 8^2+5^2 = 89. then i did the 1 solutions Answer 310389 by edjones(7569)   on 2011-05-18 20:04:40 (Show Source): You can put this solution on YOUR website!8*5=40 160/40=4 cm . Ed
 Probability-and-statistics/451045: The number of dry cleaning orders picked up at Sunny Fresh Dry Cleaners was sampled over 12 hour periods. Below is the sample: 142 171 125 91 140 125 97 125 162 142 125 117 89 125 140 128 From this data set, compute the sample mean, median, mode and midrange. Compute the 1st quartile and 3rd and interpret their meanings. this is what I have so far and I am stuck 142+171+125+91+140+125+97+125+162+142+125+117+89+125+140+128/16 19361/16 120.6875 91,97,125,125,125,125,125,128,140,140,142,142,162,171,206 middle term/median 128 mode 125 occurs 5 times 97,125,125,125,125,125,128,140,140,142,142,162,171,206 206-91=115 125+125= 250 1st Q 250/3= 83.33 171+206=377 3rd Q 377/2 = 1 solutions Answer 310181 by edjones(7569)   on 2011-05-18 01:08:06 (Show Source): You can put this solution on YOUR website!From a spreadsheet: Sum 2,044 Mean 127.75 Median 125 Mode 125 Midrange (171+89)/2 = 130 . Q1 (16+1)/4=4.25~4. the 4th number is in descending order is 117=Q1 Q3 3(17)/4=12.75~13 the 13th number is 142=Q3 . Ed . Learn how to use a spread sheet and you will avoid mistakes in addition etc and save a lot of time.
 Numbers_Word_Problems/451033: a certain wine is 12% alcohol by volume. If a bottle contains 750 milliliters of wine, how many milliliters of alcohol does the wine contain?1 solutions Answer 310162 by edjones(7569)   on 2011-05-18 00:21:11 (Show Source): You can put this solution on YOUR website!750*0.12= 90 ml of alcohol. . Ed
 Numbers_Word_Problems/451035: a long-distance runner left his house running at an average rate of 8 miles per hour. fifteen minutes (one-fourth of an hour) later, his son left his house on his bike traveling on the same route at an average rate of 12 miles per hour. how long will it take the son to catch up with his father?1 solutions Answer 310160 by edjones(7569)   on 2011-05-18 00:17:03 (Show Source): You can put this solution on YOUR website!speed * time = distance Let t=son's time 8(t+.25)=father's dist. 12t=son's dist. 12t=8t+2 distances are equal when the son catches up. 4t=2 t= 1/2 hour. . Ed
 Parallelograms/451004: Please tell me where we went wrong. The answer does not check out when you put it back into the equation. I know what the right answer is from trial and error, but I can't get the equation to get the right answer for me. WHAT AM I DOING WRONG? HELP! The problem is: what is the height of a triangle if the base= 1/2h and the area = 196 mmsquared? height = h base = 1/2 h A= 196 mm squared so A=1/2bh A=1/2(1/2h)(h) 196=1/2(1/2h)(h) can't we multiply both sides by 2 to get...? 392=(cancels)(cancels h)(2h) or 392=2h*h 392=2h squared (divide both sides by 2) 196=h squared (take the square root of h and 196) 14=h So height = 14 and base= 1/2h=1/2(14)/7. Check answer: 196 = 1/2 (7) (14) 196 = 1/2 * 98 196 does not = 49 1 solutions Answer 310154 by edjones(7569)   on 2011-05-18 00:06:06 (Show Source): You can put this solution on YOUR website!b=.5h, A=196 mm^2 .5bh=A .5*.5h*h=196 .25h^2=196 h^2=784 h=28 mm . Ed . PS: 196=1/2(1/2h)(h) can't we multiply both sides by 2 to get...? NO we can't! You can cancel off one 1/2 only when multiplying or dividing. Also (1/2h) is incorrect. (h/2) is correct and easiest. Also h(1/2) is correct. . I'm glad to help someone who shows their work like you have.
 Exponents/451022: 3y + 7 = -6y - 56 then what is y ??1 solutions Answer 310147 by edjones(7569)   on 2011-05-17 23:32:28 (Show Source): You can put this solution on YOUR website!3y + 7 = -6y - 56 9y=-63 Add 6y-7 to each side. y=-7 divide each side by 9. . Ed
 Square-cubic-other-roots/450955: Simplify. The variables represent nonnegative numbers: 3√48x1 solutions Answer 310146 by edjones(7569)   on 2011-05-17 23:28:22 (Show Source): You can put this solution on YOUR website! 3√48x =3sqrt(16*3x) =12sqrt(3x) . Ed
 Quadratic_Equations/450981: Solve: 2x^2-3x-5=0 Please show me the steps to get the answer. Thanks1 solutions Answer 310144 by edjones(7569)   on 2011-05-17 23:22:30 (Show Source): You can put this solution on YOUR website!2x^2-3x-5=0 2*-5=-10; two factors of -10 whose sum is -3 are -5 and +2. 2x^2+2x-5x-5=0 2x(x+1)-5(x+1)=0 Factoring by grouping. (2x-5)(x+1)=0 x=-1, x=5/2 . Ed
 Numbers_Word_Problems/450992: a pair of fair dice is rolled. Let E denote the event that the number landing uppermost on the first die is a 3, and let F denote the event that the sum of numbers landing uppermost is 6.Determine if e and f are independant events1 solutions Answer 310143 by edjones(7569)   on 2011-05-17 23:15:07 (Show Source): You can put this solution on YOUR website!They are independent events because the number on one die is independent of the number on the other. . Ed
 Exponential-and-logarithmic-functions/450670: 4^(-2x)=5101 solutions Answer 309991 by edjones(7569)   on 2011-05-17 14:18:41 (Show Source): You can put this solution on YOUR website!4^(-2x)=510 log[4]4^(-2x)=log[4]510 -2x=4.4971 x=-2.2486 . Ed
 Numeric_Fractions/450672: three-fourths of all student at long beach city college receiver finacial aid. if ther are 1200 students,total,how many receive financial aid1 solutions Answer 309988 by edjones(7569)   on 2011-05-17 14:11:43 (Show Source): You can put this solution on YOUR website!1200 * 3/4 = 900
 Mixture_Word_Problems/450657: One thousand liters a solution was available, but the solution was 60% alchohol. Barry needed a solution which was 50% alcohol. How many liters of alcohol had to be extracted so that the solution would be 50% alcohol?1 solutions Answer 309987 by edjones(7569)   on 2011-05-17 14:10:36 (Show Source): You can put this solution on YOUR website!.6*1000=600 L of 100% alcohol are in the solution and 400 L of water. 200 L of alcohol must be removed to make a 50% solution (400L water and 400L alcohol. . Ed
 logarithm/450649: logbase10(n-3)=21 solutions Answer 309977 by edjones(7569)   on 2011-05-17 13:39:33 (Show Source): You can put this solution on YOUR website!log(n-3)=2 10^log(n-3)=10^2 n-3=100 n=103 . Ed
 Numeric_Fractions/450653: five-eighths divided by 3/10. write answer in lowest terms.1 solutions Answer 309976 by edjones(7569)   on 2011-05-17 13:36:58 (Show Source): You can put this solution on YOUR website!5/8 / 3/10 = 5/8 * 10/3 =50/24 =25/12 . Ed
 Rational-functions/450627: I need help with this 1 question. For events A and B, P(A) = 4/3 and P(B) = 1/4. Also, P(A and B) = 1/5. Are A and B independent? Explain.1 solutions Answer 309973 by edjones(7569)   on 2011-05-17 13:34:45 (Show Source): You can put this solution on YOUR website!P(A|B)=P(A and B)/P(B)= 1/5 / 1/4 = 4/5 P(A|B)<> P(A) so it is not independent. If it were independent the probability of event A would be the same regardless of whether event B has occurred. 4/5<>4/3 . Ed