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# Recent problems solved by 'edjones'

edjones answered: 7568 problems
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 Problems-with-consecutive-odd-even-integers/410559: The Wildlife Federation surveyed 290 San Diego residents. The results are as follows: 44 had a membership to the Birch Aquarium 79 had a membership to the San Diego Zoo 28 had both Construct a Venn diagram Answer the following questions: i. How many had only a zoo membership? ii. How many had only an aquarium membership? iii. How many belonged to either one or the other or both? iv. How many belonged to neither? please some one help me with this and walk me through it1 solutions Answer 288674 by edjones(7569)   on 2011-02-17 10:02:11 (Show Source): You can put this solution on YOUR website!Did you draw the diagram? i 51 ii 16 iii 95 iv 195 . Ed
 Percentage-and-ratio-word-problems/410558: A customer orders 25,000 batteries. If experience has shown that 2% of batteries produced will be defective, how many batteries must be produced to ensure production of 25,000 good ones? Round to the nearest whole number.1 solutions Answer 288669 by edjones(7569)   on 2011-02-17 09:39:46 (Show Source): You can put this solution on YOUR website!25000*.02=500 25000+500=25500 batteries must be produced. . Ed
 Probability-and-statistics/409908: Not all visitors to a certain company's website are customers. In fact, the website administrator estimates that about 12% of all visitors to the website are looking for other websites. Assuming that this estimate is correct, find the probability that, in a random sample of 4 visitors to the website, exactly 3 actually are looking for the website. Round your response to at least three decimal places. 1 solutions Answer 288394 by edjones(7569)   on 2011-02-16 01:16:44 (Show Source): You can put this solution on YOUR website!Let x=.88 and y=.12 nCr=4C3=4 coefficient of the binomial expansion. 4x^3y=.3271 Probability exactly 3 actually are looking for the website. . Ed
 Rational-functions/409859: What is 4x plus 6 over 2x plus 3 and are there any restrictions on the variable? 1 solutions Answer 288393 by edjones(7569)   on 2011-02-16 00:53:41 (Show Source): You can put this solution on YOUR website!(4x+6)/(2x+3)=2 unless x=-3/2 . 2x+3<>0 2x<>-3 x<>-3/2 x cannot be -3/2 because there would be division by zero which is not allowed. . Ed
 Equations/409868: How would you write f(x)=5x^2+15x-9 in vertex form?1 solutions Answer 288392 by edjones(7569)   on 2011-02-16 00:41:50 (Show Source): You can put this solution on YOUR website!a(x-h)^2+k Vertex form. f(x)=5x^2+15x-9 =5(x^2+3x)-9 =5(x^2+3x + 9/4 - 9/4) -9 =5(x^2+3x + 9/4)-5(9/4)-9 =5(x + 3/2)^2 - 81/4 So h=-3/2, k=-81/4, a=5 the vertex is (-3/2, -81/4) . Ed
 Rational-functions/409874: I need help starting off my homework, in my class we are working on solving rational equations and inequalities and just finished working with asymptotes. The problem I've tried to work on is: x 1 __ = ___ x-1 2 The least common multiple to my knowledge is x-1 I am not for certain where to go from there. Please Help, Thank you 1 solutions Answer 288391 by edjones(7569)   on 2011-02-16 00:02:39 (Show Source): You can put this solution on YOUR website!x/(x-1)=1/2 2x=x-1 multiply each side by 2(x-1) LCM x=-1 . Ed
 Equations/409884: if i make 60 cents when i sell a book. how many books need to be bought or sold in order to make a \$100,000 profit?1 solutions Answer 288386 by edjones(7569)   on 2011-02-15 23:53:23 (Show Source): You can put this solution on YOUR website!100000/.6=166,667
 Systems-of-equations/409703: I am stuck on this algebra problem and was hoping that you may be able to help me work it out. Question: Two planes departed in opposite directions. After three hours the faster plane had travelled twice as far as the slower plane. Find the distance each plane travelled if the distance between the planes was 2250 km1 solutions Answer 288311 by edjones(7569)   on 2011-02-15 19:37:03 (Show Source): You can put this solution on YOUR website!x=speed of slower and 2x=speed of faster st=d (x+2x)*3=2250 9x=2250 x=250 km/h 3x=750 km. dist slower traveled. 6x=1500 km. dist faster traveled. . Ed
 Miscellaneous_Word_Problems/409692: A two-digit number is four times the sum of its digits. The tens digit is 3 less than the units digit. What is the number?1 solutions Answer 288307 by edjones(7569)   on 2011-02-15 19:29:53 (Show Source): You can put this solution on YOUR website!Let t=the tens digit and u=the units digit. 10t+u=4(t+u) u=t+3 . 10t+t+3=4t+4(t+3) Substitute t+3 for u. 11t+3=4t+4t+12 3t=9 t=3 u=6 . Ed
 Linear_Equations_And_Systems_Word_Problems/409681: Please help; Use the discriminant to determine weather the following equations have solutions that are: A) two different rational solutions b) two different irrational solutions c) exactly one rational solution D) two different imaginary solutions 25x^2=10x-11 solutions Answer 288300 by edjones(7569)   on 2011-02-15 19:17:51 (Show Source): You can put this solution on YOUR website!25x^2=10x-1 25x^2-10x+1=0 b^2-4ac The dicriminant. 100-4*25*1 =100-100 =0 Exactly one rational solution. . Ed
 Linear_Equations_And_Systems_Word_Problems/409678: I am needing some help with this word problem. in solving the equation (x+3)(x+1)=48, Eric stated the solution would be x+3=48=>x=45 or (x+1)=48=>x+47 However, at least one of these solutions fails to work when substituted back into the original equation. Why? Help Eric; solve the problem and explain. Remember to show all work. 1 solutions Answer 288292 by edjones(7569)   on 2011-02-15 19:10:23 (Show Source): You can put this solution on YOUR website!(x+3)(x+1)=48 x^2+4x+3=48 x^2+4x-45=0 (x+9)(x-5)=0 x=-9, x=4 . Ed
 Rectangles/409676: what is the perimeter of a rectangle that measures 7 meters wide and 8 meters long1 solutions Answer 288288 by edjones(7569)   on 2011-02-15 19:06:46 (Show Source): You can put this solution on YOUR website!2(l+w)=P 2(7+8) =2*15 =30 m . Ed
 Pythagorean-theorem/402660: The directions are as follows: If c is the measure of the hypotenus, find each missing measure. Round to the nearest 10th if necessary. a=?, b=15, c=31 I understand how to use the Pythagorean theorem to work problems where c is missing, but here I am confused. I don't even know where to begin.1 solutions Answer 284793 by edjones(7569)   on 2011-02-01 00:34:20 (Show Source): You can put this solution on YOUR website!a^2+15^2=31^2 a^2=31^2-15^2 a=sqrt(31^2-15^2) a=27.1 . Ed
 Triangles/402593: How many (distinct) triangles could be formed that have integer side lenghts and a perimeter of 29? Please show the work to help me with my other problems, please and thank you!1 solutions Answer 284792 by edjones(7569)   on 2011-02-01 00:23:47 (Show Source): You can put this solution on YOUR website!14 (7) 7 8 6 9 5 10 4 11 3 12 2 13 1 14 . 13 (6) 8 8 9 7 10 6 11 5 12 4 13 3 . 12 (4) 9 8 10 7 11 6 12 5 . 11 (3) 9 9 10 8 11 7 . 10 (1) 10 9 . Total 21 . Ed
 Exponential-and-logarithmic-functions/402596: find [g o h](x) and [h o g](x): g(x)=4x, h(x)=2x-11 solutions Answer 284791 by edjones(7569)   on 2011-02-01 00:00:22 (Show Source): You can put this solution on YOUR website!g(x)=4x, h(x)=2x-1 g(h(x))=4(2x-1)=8x-4 h(g(x))=2(4x)-1=8x-1 . Ed
 Travel_Word_Problems/402582: mary walked 5 feet to get her purse. How many inches did she walk? 1 solutions Answer 284790 by edjones(7569)   on 2011-01-31 23:51:47 (Show Source): You can put this solution on YOUR website!5*12=60"
 Rate-of-work-word-problems/402652: If Jaunita can mow her lawn in 6 hours, hat is her rate (in jobs per hour)?1 solutions Answer 284786 by edjones(7569)   on 2011-01-31 23:38:53 (Show Source): You can put this solution on YOUR website!1/6 of the job in 1 hr.
 Proportions/402070: The volumes of 3 balloons are in the ratio 5:6:7. By what fractions of themselves must the first two be increased so that the ratio of the volumes may be changed to 7:6:5?1 solutions Answer 284477 by edjones(7569)   on 2011-01-31 01:14:41 (Show Source): You can put this solution on YOUR website!The volumes of 3 balloons are in the ratio 5:6:7. Let the vol. of the balloons be 5, 6 and 7L respectively The vol of the last balloon will be unchanged and will be 5/18 of the total volume after the first 2 are inflated more. 5x/18=7 for the 3rd balloon after the 1st 2 have their volumes increased x=25.2 . 6*25.2/18=8.4L new vol of the 2nd balloon. . 7*25.2/18=9.8L new vol of the 1st balloon. . Fraction of themselves the 1st two must be increased so that the ratio of the volumes may be changed to 7:6:5 8.4/6 = 7/5 9.8/5 = 49/25 . Ed
 Proportions/402068: How much water must be added to 9 litres of a solution containing 65% alcohol to obtain a solution containing 45% alcohol?1 solutions Answer 284462 by edjones(7569)   on 2011-01-31 00:04:00 (Show Source): You can put this solution on YOUR website!9*.65=5.85 5.85=.45(9+x) 5.85=4.05+.45x .45x=1.80 x=4 L of water . Ed
 Exponents/402079: 4 square root of 631 solutions Answer 284461 by edjones(7569)   on 2011-01-30 23:42:35 (Show Source): You can put this solution on YOUR website!4sqrt(63) =4sqrt(9*7) =12sqrt(7) . Ed
 Miscellaneous_Word_Problems/402054: The members of Mrs.Grant's class are standing in a circle; they are evenly spaced and are numbered in order. The student with the number 7 is standing directly across from the student with number 17. how many students are in the class?1 solutions Answer 284460 by edjones(7569)   on 2011-01-30 23:40:54 (Show Source): You can put this solution on YOUR website!17-7=10 so there are 9 people between them. There have to be 9 people between them on the other side. 9+9+2=20 students in the class. . Ed
 Miscellaneous_Word_Problems/402065: what is the domain and range of the inverse of the f(x)= Sqrt(x-4)1 solutions Answer 284458 by edjones(7569)   on 2011-01-30 23:32:02 (Show Source): You can put this solution on YOUR website!f(x)= Sqrt(x-4) y=sqrt(x-4) x=sqrt(y-4) x^2=y-4 y=x^2+4 . The domain is all real numbers. The range is 4 to infinity. . Ed
 percentage/402066: 62.5% of t is 35. what is t?1 solutions Answer 284455 by edjones(7569)   on 2011-01-30 23:11:43 (Show Source): You can put this solution on YOUR website!.625t=35 t=56 . Ed
 Permutations/402052: Three coins are selected from nine coins: 3 dimes, 5 nickels, and 1 quarter. In how many ways can the selection be made so that the value of the coins chosen is at least 25 cents? I couldn't figure out how to use a combination1 solutions Answer 284454 by edjones(7569)   on 2011-01-30 23:10:22 (Show Source): You can put this solution on YOUR website!nCr=Combination of n things taken r at a time. 1C1*8C2=28 One quarter and any other 2 of the other 8 coins. 3C2*5C1=3*5=15 Two dimes and one nickel. 3C3=1 Three dimes 28+16+1=44 . Ed
 Rational-functions/401729: (3x+7)^21 solutions Answer 284319 by edjones(7569)   on 2011-01-30 11:56:36 (Show Source): You can put this solution on YOUR website!(3x+7)^2 FOIL 9x^2 F 21x O 21x I 49 L . =9x^2+42x+49
 Functions/401727: given the function g(x)=4z+2 find each of the following g(2)= g(-3)= g(6.3)=1 solutions Answer 284318 by edjones(7569)   on 2011-01-30 11:53:33 (Show Source): You can put this solution on YOUR website!g(2)=4*2+2 =8+2 =10 . Ed
 Inequalities/401720: i dont understand w+7/12>5/181 solutions Answer 284315 by edjones(7569)   on 2011-01-30 11:48:54 (Show Source): You can put this solution on YOUR website!(w+7)/12 > 5/18 use parentheses to avoid confusion. 3(w+7)>10 multiply each side by 36 3w+21>10 3w>-11 w>-11/3 . Ed
 Coordinate-system/401722: The height of a tree in a park was 48 inches on April 1. Six months later, the same tree was 52 inches. What was the rate of change. in inches per month? A. 26/3 B. 8 C. 12/13 D. 2/31 solutions Answer 284314 by edjones(7569)   on 2011-01-30 11:42:57 (Show Source): You can put this solution on YOUR website!52-48=4 4/6=2/3
 Polynomials-and-rational-expressions/401690: Factor completely. Please help me solve this equation: 1 solutions Answer 284313 by edjones(7569)   on 2011-01-30 11:41:47 (Show Source): You can put this solution on YOUR website!b^3+8b^2+16b =b(b^2+8b+16) =b(b+4)(b+4) . Ed
 Graphs/401702: Solve each radical inequality by using algebra. If the inequality has no solution, write no solution. 1 solutions Answer 284312 by edjones(7569)   on 2011-01-30 11:39:01 (Show Source): You can put this solution on YOUR website!sqrt(2x+5)< 17 2x+5<289 square each side 2x<284 x<142
 Polynomials-and-rational-expressions/401714: solve r/10 - 10/r = 01 solutions Answer 284311 by edjones(7569)   on 2011-01-30 11:35:58 (Show Source): You can put this solution on YOUR website!r/10 - 10/r = 0 r^2-100=0 multiply each side by 10r. r^2=100 r=10, r=-10 . Ed