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# Recent problems solved by 'edjones'

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 Money_Word_Problems/357370: if three sweatshirt sell for 10 dollars. How much should a customer pay for two sweatshirts?1 solutions Answer 255213 by edjones(7794)   on 2010-10-17 12:15:21 (Show Source): You can put this solution on YOUR website!10* 2/3 = 20/3 = \$6.67
 Geometry_Word_Problems/357371: If the circumference of the Earth at the equator is 25,000 miles, find the number of degrees the earth rotates in 2 hours.1 solutions Answer 255211 by edjones(7794)   on 2010-10-17 12:13:35 (Show Source): You can put this solution on YOUR website!360/24 * 2 = 30 degrees
 Probability-and-statistics/357376: The find the probability of the event. Drawing three queens in a row from a standard deck of cards when the drawn card is not returned to the deck each time?1 solutions Answer 255210 by edjones(7794)   on 2010-10-17 12:11:30 (Show Source): You can put this solution on YOUR website!4/52 * 3/51 * 2/50 = 1/5525
 Equations/357306: The length of a conference room is one and a half times its width.A carpet that is twice as long as it is wide is placed in the center of the room, leaving a 3m wide border round the carpet.Find the area of the carpet.1 solutions Answer 255207 by edjones(7794)   on 2010-10-17 12:04:51 (Show Source): You can put this solution on YOUR website!Let the width of the room, w, = x and the length, L, = 1.5x The width of the carpet is, then, x-6 and the length of the carpet is 2(x-6). Length of carpet + 6 = length of room: 2(x-6)+6=1.5x 2x-12+6=1.5x .5x=6 x=12 m length of room 18 m width of room 12-6 by 18-6 =12 by 6 dimensions of carpet 12*6=72 m^2 Area of carpet. . Ed
 Distributive-associative-commutative-properties/357322: 15*35*5*451 solutions Answer 255197 by edjones(7794)   on 2010-10-17 11:18:23 (Show Source): You can put this solution on YOUR website!110125
 Circles/357332: A circle of radius 2 is inscribed in a larger circle. The area inside the larger circle but outside the smaller circle is shaded. what fraction of the larger circle's area is shaded?1 solutions Answer 255196 by edjones(7794)   on 2010-10-17 11:16:30 (Show Source): You can put this solution on YOUR website!Insufficient information. What's the radius of the larger circle?
 Permutations/357334: How many ways can 3 students be assigned a seat in a classroom if there are 11 seats in a row? a.)14 b.)990 c.)39,916,800 d.)331 solutions Answer 255194 by edjones(7794)   on 2010-10-17 11:13:26 (Show Source): You can put this solution on YOUR website!Permutation, arrangement is important. nPr=n!/(n-r)! 11P3 =11!/(11-3)! 11!/8! =(11*10*9*8!)/8! =11*10*9 =990 . Ed
 Probability-and-statistics/357335: There are 6 artists each presenting 5 works of art in an art contest. The 4 works judged best will be displayed in a local gallery. In how many ways can these 4 works all be chosen from the same artist's collection?1 solutions Answer 255191 by edjones(7794)   on 2010-10-17 11:03:44 (Show Source): You can put this solution on YOUR website!Combination 5C4=5!/((5-4)!4!) 5!/4! =5*4!/4! =5 ways . Ed
 Probability-and-statistics/357343: You must take 6 elective classes to meet your graduation requirements for college. There are 12 classes that you are interested in. In how many ways can you select you elective classes?1 solutions Answer 255190 by edjones(7794)   on 2010-10-17 10:56:02 (Show Source): You can put this solution on YOUR website!nCr=combination of n things taken r at a time.=n!/((n-r)!r!) 12!/(6!*6!)=924 ways . Ed
 Triangles/357227: A 30-60-90 right triangle has a long leg of length 22. What is the area of this right triagle?1 solutions Answer 255188 by edjones(7794)   on 2010-10-17 10:50:57 (Show Source): You can put this solution on YOUR website!30-60-90 All have the side ratio of 1, sqrt(3), 2 c=22, b=11, a=11sqrt(3) .5ab=A .5*11sqrt(3)*11 =60.5sqrt(3) . Ed
 test/357253: How much simple interest was paid on a \$2100 loan at 7% for 11months?1 solutions Answer 255176 by edjones(7794)   on 2010-10-17 09:25:23 (Show Source): You can put this solution on YOUR website!2100 * .07 * 11/12 = \$134.75
 Quadratic_Equations/357261: a) Solve 3x^2 = 21 "what are the solutions??" b) find the x intercepts of f(x) = 3x^2 - 21 "the x intercepts are?"1 solutions Answer 255175 by edjones(7794)   on 2010-10-17 09:19:35 (Show Source): You can put this solution on YOUR website!a) 3x^2=21 x^2=7 x=sqrt(7), x=-sqrt(7) . b) x intercepts are sqrt(7) and -sqrt(7) . Ed .
 Numeric_Fractions/357284: (a+b)-(a-b)1 solutions Answer 255174 by edjones(7794)   on 2010-10-17 08:57:32 (Show Source): You can put this solution on YOUR website!(a+b)-(a-b) =a+b-a+b =2b . Ed
 Miscellaneous_Word_Problems/357296: It takes an escalator 20 seconds to move a person from the first floor to the second.If not operating, Jose takes 30 seconds to walk up on the still escalator. If Jose walks while the escalator is moving, how long does it take for him to reach the second floor?1 solutions Answer 255173 by edjones(7794)   on 2010-10-17 08:49:48 (Show Source): You can put this solution on YOUR website!speed * time = dist s=d/t =d/20 escalator =d/30 to walk up on the still escalator . s=d/20 + d/30 =3d/60 + 2d/60 =5d/60 . t * 5d/60 = d t = d * 60/5d =12 seconds . Ed
 Miscellaneous_Word_Problems/357312: In a group of tennis players, a person plays either single or mixed double, but not both. 1/2 of the men and 1/3 of the women play mixed double. What fraction of the group play mixed double?1 solutions Answer 255172 by edjones(7794)   on 2010-10-17 08:30:20 (Show Source): You can put this solution on YOUR website!How many men and women are there?
 Probability-and-statistics/357303: A shipment of pins contains 25 good ones and 2 defective ones. At the receiving department an inspector picks three pins at random and tests them. If any defective pin is found among the three that are tested, the shipment would be rejected. What is the probability that the shipment would be accepted ? To increase the probability of acceptance to atleast 90%, it is decided to do one of the following: 1. Add some good pins to the shipment 2. Remove some defective pins in the shipment For each of the two options, find out exactly how many pins should be added or removed. 1 solutions Answer 255169 by edjones(7794)   on 2010-10-17 08:24:35 (Show Source): You can put this solution on YOUR website!(23/25)^3=.7787 probability that the shipment would be accepted. . 1. Let x = number of pins to be added to increase the probability of acceptance to atleast 90%. ((23+x)/(25+x))^3>=.9 ((23+x)/(25+x))>=.9655... Cube root of each side. 23+x>=.9655(25+x) 23+x>=24.137+.9655x .0345x=1.137 x>=33 pins should be added. . 2. (23/24)^3=.88 one defective pin removed. Both defective pins would have to be removed to increase the probability of acceptance to atleast 90%. . Ed
 Permutations/357245: if 4-letter "words" are formed using the letters A, B, C,D,E, F,G, how many such words are possible for each of the following conditions: a. no condition is imposed. b. no letter can be repeated in a word. c. each word must begin with the letter A and letters can be repeated. d. the letter C must be at the end and letters can be repeated. e. the second letter must be a vowel and letters can be repeated.1 solutions Answer 255149 by edjones(7794)   on 2010-10-17 01:41:13 (Show Source): You can put this solution on YOUR website!a. 7^4=2,401 b. 7P4=840 c. 7^3=343 d. 343 e. 2*343=686 . Ed
 Exponential-and-logarithmic-functions/357247: How is a negitve exponent figured into a problem; 5 times 4 with -3 exponet on the 4 Thank You Greg1 solutions Answer 255142 by edjones(7794)   on 2010-10-17 00:00:23 (Show Source): You can put this solution on YOUR website!5*4^-3 =5/64 . Ed
 Human-and-algebraic-language/357110: A father left 1/2 of his estate to his son, 1/3 of his estate to his granddaughter, and the remaining \$6,000 to charity. What was his total estate?1 solutions Answer 255024 by edjones(7794)   on 2010-10-16 15:09:43 (Show Source): You can put this solution on YOUR website!1/2 + 1/3 =3/6 + 2/6 =5/6 1- 5/6 = 1/6 . Let x=the total estate x/6=6000 x=\$36,000 . Ed
 Square-cubic-other-roots/357113: How do you solve: 4/(1+√3)1 solutions Answer 255019 by edjones(7794)   on 2010-10-16 15:06:17 (Show Source): You can put this solution on YOUR website!4/(1+sqrt(3)) We don't solve this. we rationalize the denominator. 4/(1+sqrt(3)) * (1-sqrt(3))/(1-sqrt(3)) =4(1-sqrt(3))/(1-3) =(4-4sqrt(3))/-2 =-(4-4sqrt(3))/2 =(4sqrt(3)-4)/2 =2sqrt(3)-2 . Ed
 Human-and-algebraic-language/357114: A basketball team played 32 games and won 4 more games than it lost. Find the number of games the team won.1 solutions Answer 255012 by edjones(7794)   on 2010-10-16 14:58:06 (Show Source): You can put this solution on YOUR website!Let w=number of won games and L=number of lost games. w+L=32 L=w-4 . w+w-4=32 2w-4=32 2w=36 w=18 L=14 . Ed
 Permutations/357067: A store is selling 5 types of hard candies: cherry, strawberry, orange, lemon and pineapple. How many ways are there to choose: (a) 34 candies? (b) 34 candies with at least a piece of each flavor? (c) 34 candies with at least 4 cherry and at least 6 lemon?1 solutions Answer 255010 by edjones(7794)   on 2010-10-16 14:38:18 (Show Source): You can put this solution on YOUR website!How many kinds of each candy are there?
 Permutations/357068: if you have a class with 30 students. how many ways can you select a committe of 10 students from this class? 1 solutions Answer 255008 by edjones(7794)   on 2010-10-16 14:30:11 (Show Source): You can put this solution on YOUR website!nCr=combination of n things taken r at a time=n!/((n-r)r!) 30C10=30!/(20!*10!)=30,045,015 ways . Ed
 test/357069: P(E and F) =.21 p(E) = .4 what is P(F/E) 1 solutions Answer 255006 by edjones(7794)   on 2010-10-16 14:25:34 (Show Source): You can put this solution on YOUR website!P(EnF) = .21 Intersection of E and F P(E) = .4 P(F|E)= .21/.4 = .525 Probability of F in E. . Ed
 Systems-of-equations/357074: y=-3x+1 y=2x-4 solve each system by substitution 1 solutions Answer 255003 by edjones(7794)   on 2010-10-16 14:10:52 (Show Source): You can put this solution on YOUR website!y=-3x+1 y=2x-4 . 2x-4=-3x+1 Substitute 2x-4 for y in the 1st equation. 5x=5 x=1 y=-2 . Ed
 Probability-and-statistics/357080: How do you know what formula to use for probability? For example for the problem: A Company had manufactures a batch of 400 backup power supply units for computers, 8 of them are defective. If 3 of the units are randomly selected for testing, what is the probability that the entire batch will be accepted? What formula would i use to solve this? Thank you!1 solutions Answer 254999 by edjones(7794)   on 2010-10-16 14:02:01 (Show Source): You can put this solution on YOUR website!8/400=1/50 defective 49/50 not defective. (49/50)^3=.9412 probability none of the 3 will be found defective. . Ed
 test/356996: 9"paper plate divided by 7. How many inches around the perimeter to divide into 7 sections. Please help me with my daughter's 10th grade math. Thanks in advance- Ray1 solutions Answer 254934 by edjones(7794)   on 2010-10-16 02:26:03 (Show Source): You can put this solution on YOUR website!The diameter = 9" Circumference=pi*d =9*pi =28.27... 28.27/7=4 inches around the perimeter (circumference) about. . Ed
 Probability-and-statistics/356899: When playing a game of cardwars with a friend, what are the odds that I play nine hands in a row without winning? If you're not sure what cardwars are, it is a very simple game that involves 2 players drawing cards from a deck. If I draw a higher card I win, if I draw a lower card I lose. For this scenario, let's also assume that if 2 equal cards are drawn (ex: 2 Kings are drawn by him and me both) I lose as well. The only way I win is if I draw a higher card than my opponent. So, what are the odds that I lose 9 hands in a row (I draw a lower or equal card nine straight times). Thanks in advance for your help as I can not solve this problem on my own. 1 solutions Answer 254930 by edjones(7794)   on 2010-10-16 02:05:35 (Show Source): You can put this solution on YOUR website!Out of 169 hands you will win 78 and lose 91 probability of losing one hand 91/169 = 7/13 Probability that you will lose nine hands in a row (7/13)^9=.0038... 1-.0038=.9962 Odds against losing 9 in a row: 9962 to 38 or 262 to 1 . Ed
 Graphs/356912: Solving Equations with Radicas and Exponents Find all real solutions to this equation. √(x+4)-2√(x-1)=-11 solutions Answer 254929 by edjones(7794)   on 2010-10-16 01:37:53 (Show Source): You can put this solution on YOUR website!√(x+4)-2√(x-1)=-1 5x-(4sqrt(x-1)(sqrt(x+4))=1 square each side (-4sqrt(x-1)(sqrt(x+4))=1-5x 16x^2+48x-64=25x^2-10x+1 square each side 9x^2-58x+65=0 (x-5)(9x-13)=0 x=13/9, x=5 x=5 is the only answer. x=13/9 is extraneous. . Ed
 Numbers_Word_Problems/356913: a student is hired by a city's maintenance department to paint houses numbers on the curbs in a particular neighborhood. Each digit has to be painted separately,and the student was painted 50 cents per digit. He painted house numbers 1 to 225. How much did he earn? 1 solutions Answer 254926 by edjones(7794)   on 2010-10-16 01:16:35 (Show Source): You can put this solution on YOUR website!9*.5=4.50 99-10+1=90*1=90 225-100+1=126*1.5=189 . 189+90+4.50=\$283.50 . Ed
 Probability-and-statistics/356914: A jar contains 10 black marbles and 40 white marbles. a. If you randomly select a marble from the jar, what is the probability that you will get a white marble? b. If you are selecting a random sample of n = 3 marbles, and the first 2 marbles are both white, what is the probability that the third marble will be black?1 solutions Answer 254925 by edjones(7794)   on 2010-10-16 01:10:18 (Show Source): You can put this solution on YOUR website!a. 40/50=4/5 . b. 38/48=19/24 . Ed