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edjones answered: 7568 problems
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Inequalities/228888: 2x + 36 < - 10x 1 solutions Answer 169811 by edjones(7569)   on 2009-10-19 19:50:40 (Show Source): You can put this solution on YOUR website! Assuming that this is the question. 2x+36<=10x [ x<=y means ] -8x<=-36 x<=36/8 x<=9/2 . Ed

Geometry_Word_Problems/228895: find the measures of an isosceles triangle if the measure if the vertex angle is 40 degrees less than the sum of the base angles 1 solutions Answer 169808 by edjones(7569)   on 2009-10-19 19:40:41 (Show Source): You can put this solution on YOUR website! let the vertex angle=v and a base angle=b v=2b-40 given 2b+v=180 all the angles of a triangle add up to 180. 2b+2b-40=180 replace v with 2b-40 4b=220 b=55 v=70 . Ed

Linear-systems/228854: I don't know how to set this up: Bill leaves his house for Maya's house riding his bicycle at 8 miles per hour. At the same time, Maya leaves her house heading toward Bill's house walking at 3 miles per hour. Write a system of equations to represent the distance, d, each is from Maya's house in h hours. They live 8.25 miles apart. 1 solutions Answer 169804 by edjones(7569)   on 2009-10-19 19:29:30 (Show Source): You can put this solution on YOUR website! st=d s=speed, t=time, d=distance How long did it take until they met? d=distance from Maya's house. t=d/3 for Maya t=(8.25-d)/8 for Bill d/3 = (8.25-d)/8 Since the times are equal. 8d=24.75-3d Multiply each side by 24 to eliminate fractions. 11d=24.75 d=2.25 mi from Maya's house. . Ed

Numbers_Word_Problems/228871: The sum of the reciprocals of two consecutive odd integers is 20/90. Find the two integers. 1 solutions Answer 169796 by edjones(7569)   on 2009-10-19 18:58:01 (Show Source): You can put this solution on YOUR website! Let the numbers be x & x+2 1/x + 1/(x+2) = 2/9 x<>an integer. Did you copy the problem wrong? . Ed

Polynomials-and-rational-expressions/228862: determine which of the following is a equation of 3x^3-11x^2-6x+8=0 1 solutions Answer 169789 by edjones(7569)   on 2009-10-19 18:49:25 (Show Source): You can put this solution on YOUR website! yes, it is an equation.

Equations/228856: Can you solve this equation 4f(+2)=20 1 solutions Answer 169779 by edjones(7569)   on 2009-10-19 18:31:01 (Show Source): You can put this solution on YOUR website! 4f(+2)=20 8f=20 f=20/8 =5/2 . Ed

Number-Line/228851: 1562 ____ ____ ____ ____ ____ 1874 I'm in 4th grade, can someone tell me the way to find these answers. 1 solutions Answer 169776 by edjones(7569)   on 2009-10-19 18:28:06 (Show Source): You can put this solution on YOUR website! 1874-1562=312 312/6=52 1562+52=1614+52=1666+52=1718+52=1770+52=1822+52=1874 . Ed

Permutations/227480: Mr. Wu’s biology class is writing group reports about the Hawaiian Islands. He has a total of 10 groups. Mr. Wu will assign an island and a topic at random to each of the groups. No two group assignments will be the same. Five Islands: Hawaii, Maui, Lanai, Oahu, or Kauai Topics: Plant Life or Animal Life Linda and Kim are in different groups, but they both want to write about Kauai. What is the probability that both Linda’s and Kim’s groups will receive Kauai assignments? A.1/5 B.1/45 C.1/50 D.1/90 1 solutions Answer 169031 by edjones(7569)   on 2009-10-16 01:29:16 (Show Source): You can put this solution on YOUR website! Chance linda assigned Kauai * chance kim assigned same * chance of assignment of different topics. 1/5 * 1/5 * 1/2 =1/50 . Ed

Percentage-and-ratio-word-problems/227496: You get 7 out of 11 answers correct on a quiz. About how many correct answers could you expect on a quiz that has 8 questions? 1 solutions Answer 169029 by edjones(7569)   on 2009-10-16 01:16:30 (Show Source): You can put this solution on YOUR website! x/8 = 7/11 x=56/11 =about 5 . Ed

Probability-and-statistics/226299: Bob and Alice are playing Texas Hold 'Em. Bob is dealt cards 1 and 3 while Alice is dealt cards 2 and 4. Three of the five community cards are dealt (5of clubs, 6 of clubs, K of hearts). Bob has the 2 of clubs and 4of clubs. a. What is probability that bob has a flush? b. What is probability that bob has a straight? c. What is probability of a straight flush? Work: a. Is it 25% because the next cards could be one of four choices? b. Is the answer .5% because odds of an Ace is 1 out of 13 multiplied by odds of a 7 (1 out of 13)? 1 solutions Answer 168577 by edjones(7569)   on 2009-10-14 02:26:41 (Show Source): You can put this solution on YOUR website! 52-5=47 cards left to choose from since you don't know Alice's cards. a) 13-4=9 remaining clubs (9C1*38C1+9C2)/(47C2) =(9*38+36)/1081 The number of possible combinations of 47 cards drawn 2 at a time is 1081. =(342+36)/1018 =.350... probability of a flush in the next 2 cards. . b) there are 4 threes that will make a straight. (4C1*43C1 +4C2)/47C2 [combination of 1 three out of 4, times the combination of 1 of the other 43 cards, plus the combination of 2 of the threes, divided by 1018. =(4*43 +6)/1081 =178/1081 =.165... probability of a straight in the next 2 cards. . c) Only 1 card will make a straight flush, 3 of clubs. (1C1*46C1)/47C2 =46/1081 =.0426... Probability of a straight flush in the next 2 cards. . Ed

Surface-area/226318: find the area of circular region whose radius is 20cm. 1 solutions Answer 168576 by edjones(7569)   on 2009-10-14 01:09:38 (Show Source): You can put this solution on YOUR website! A=pi*r^2 =pi*20^2 =400*pi cm . Ed

Functions/226324: find the domain of f(x) =7-8x/5x-9 1 solutions Answer 168575 by edjones(7569)   on 2009-10-14 01:01:25 (Show Source): You can put this solution on YOUR website! f(x) =7-8x/5x-9 y=(7-8x)/(5x-9) 5x cannot = 9 because there would be division by zero which is not allowed. x can't = 9/5 X(-infinity, 9/5)U(9/5, infinity) . Ed .

Functions/226329: find the domain of f(x) =7-8x/5x-9 1 solutions Answer 168574 by edjones(7569)   on 2009-10-14 00:57:05 (Show Source): You can put this solution on YOUR website! f(x) =7-8x/5x-9 y=(7-8x)/(5x-9) 5x cannot = 9 because there would be division by zero which is not allowed. x can't = 9/5 X(-infinity, 9/5)U(9/5, infinity) . Ed .

Polynomials-and-rational-expressions/226017: factor completely. state if polynomial is prime? x^4 + 4x^3 - 2x -8 1 solutions Answer 168440 by edjones(7569)   on 2009-10-13 15:59:19 (Show Source): You can put this solution on YOUR website! x^4 + 4x^3 - 2x -8 =x^3(x+4)-2(x+4) =(x^3-2)(x+4) Because the polynomial is factorable it is NOT prime. . Ed

Radicals/226003: I do not understand simplifying radicals. Could you please explain to me how to solve these kinds of problems. I have attached a link so that you can look at the problem yourself. http://www.teacherweb.com/GA/EvansMiddleSchool/JWard/page_514.pdf I need explaining on questions like 36,45,46,and 48. I have not had this kind of thing explained to me at my school yet. I don't understand how to solve these problems. Thanks so much for your time and I am sorry these are just stupid questions! (I am just not good at things like that!!) 1 solutions Answer 168439 by edjones(7569)   on 2009-10-13 15:54:20 (Show Source): You can put this solution on YOUR website! 48) sqrt(10)*sqrt(16)/sqrt(5) =4sqrt(10)/sqrt(5) = =4sqrt(2) . Ed

real-numbers/226011: What is x in 17=2(3x+1)-x? 1 solutions Answer 168437 by edjones(7569)   on 2009-10-13 15:40:28 (Show Source): You can put this solution on YOUR website! 2(3x+1)-x=17 6x+2-x=17 5x=15 x=3 . Ed

Rational-functions/226007: x+9 over x-9 divided by x to the second power -81 over 9-x 1 solutions Answer 168435 by edjones(7569)   on 2009-10-13 15:38:07 (Show Source): You can put this solution on YOUR website! (x+9)/(x-9) / (x^2-81)/(9-x) = . Ed

Quadratic_Equations/225769: how do you solve this equation: x^4-8x^2+12=0 1 solutions Answer 168429 by edjones(7569)   on 2009-10-13 15:04:51 (Show Source): You can put this solution on YOUR website! x^4-8x^2+12=0 (x^2-6)(x^2-2)=0 . x^2=6 x=+-sqrt(6) . x^2=2 x=+-sqrt(2) . four answers altogether . Ed

Finance/225980: A jar contains 40 coins consisting of dimes and quarters and having a total value of $4.90. How many of each kind of coin are there? I know that somehow I use .1d+.25q=$4.90 but I don't know how to add the 40 in there. Help please! 1 solutions Answer 168427 by edjones(7569)   on 2009-10-13 14:59:49 (Show Source): You can put this solution on YOUR website! Let d=number of dimes, q=number of quarters d+q=40 q=40-d .1d+.25q=4.9 good work. .1d+.25(40-d)=4.9 .1d+10-.25d=4.9 -.15d=-5.1 d=34 q=6 . Ed

Equations/225984: In the formula: 2091/x-1=1.5 the answer should be 836.4. My question is: What is the proper way to get x on the right hand side? I want to solve for x. I hope you under stand. ex. (not correct): whatever/whatever = x I want x on the right by itself. 1 solutions Answer 168421 by edjones(7569)   on 2009-10-13 14:44:49 (Show Source): You can put this solution on YOUR website! 2091-x=1.5x Multiply each side by x to eliminate the fraction. 2091=2.5x Add x to each side. x=836.4 Divide each side by 2.5 . Ed

Numeric_Fractions/225981: find the prime factorization for 132 1 solutions Answer 168419 by edjones(7569)   on 2009-10-13 14:35:00 (Show Source): You can put this solution on YOUR website! 132/2=66 66/3=11 2*3*11 . Ed

Numeric_Fractions/225441: A fish tank is half full. When 9 gallons are added, the tank is 7/8 full. What is the capacity of the fish tank? 1 solutions Answer 168416 by edjones(7569)   on 2009-10-13 14:31:37 (Show Source): You can put this solution on YOUR website! When the tank is full it will hold f gallons. f/2 + 9 = 7f/8 4f+72=7f multiply each side by 8 (LCM). 3f=72 f=24 gal. . Ed

Inequalities/225975: -9(x+4)>= 16 1 solutions Answer 168414 by edjones(7569)   on 2009-10-13 14:21:27 (Show Source): You can put this solution on YOUR website! -9(x+4)>= 16 -9x-36>=16 -9x>=52 x>=-52/9 . Ed

Numbers_Word_Problems/225973: a number, half of that number, and one-third of that number are added. the result is 22. what is the original number? 1 solutions Answer 168412 by edjones(7569)   on 2009-10-13 14:15:45 (Show Source): You can put this solution on YOUR website! Let the number be x. x+ x/2 + x/3 =22 6x+3x+2x=132 Multiply 6 (LCM) by each side to eliminate fractions. 11x=132 x=12 . Ed

Expressions-with-variables/225974: 9w-13w=? 1 solutions Answer 168411 by edjones(7569)   on 2009-10-13 14:11:45 (Show Source): You can put this solution on YOUR website! 9w-13w =-4w

Equations/225967: solve x^4 + 6x^2 - 27 = 0 1 solutions Answer 168410 by edjones(7569)   on 2009-10-13 14:10:25 (Show Source): You can put this solution on YOUR website! x^4 + 6x^2 - 27 = 0 (x^2+9)(x^2-3)=0 . x^2=-9 x=+-3sqrt(-1) x=+-3i . x^2=3 x=+-sqrt(3) . Ed

Linear-systems/223775: Please help me with the following question: A Straight line has the equation and it meets the axes at A and B. Find the distance of the mid-point of AB from the origin, Giving your answer in the form 1 solutions Answer 167323 by edjones(7569)   on 2009-10-08 17:55:38 (Show Source): You can put this solution on YOUR website! x-2y=12 -2y=12-x y=x/2 -6 the y intercept where x=0 is y=-6 x/2 -6=0 x/2=6 x=12 The x intercept where y=0 is x=12 . a^2+b^2=c^2 6^2+12^2=c^2 36+144=180 sqrt(180) =sqrt(36*5) =6sqrt(5) length of AB 3sqrt(5) midpoint of AB . tan=opp/adj=12/6=2 angle opposite line from midpoint to origin. tan^-1(2)=63.42... deg . Law of cosines: a^2=b^2+c^2-2bc cos(a) a^2=6^2+(3sqrt(5))^2-2*6*3sqrt(5)*cos(63.42...) a^2=36+45-36sqrt(5)*cos A =45 sqrt(45) =sqrt(9*5) =3sqrt(5) . Ed

Human-and-algebraic-language/223756: The sum of two numbers is twenty-one. Three times the smaller number is two less than twice the larger number. Find the two numbers 1 solutions Answer 167260 by edjones(7569)   on 2009-10-08 15:21:37 (Show Source): You can put this solution on YOUR website! Let x be the smaller and y the larger. a) x+y=21 b) 3x=2y-2 . a) y=21-x b) 3x=2(21-x)-2 3x=42-2x-2 5x=40 x=8 y=13 . Ed

Quadratic_Equations/223768: x^2 - 4x - 5 = x^2 + 18 - 11x = 1 solutions Answer 167257 by edjones(7569)   on 2009-10-08 15:12:49 (Show Source): You can put this solution on YOUR website! x^2 - 4x - 5 = 0 (x-5)(x+1)=0 x=5, x=-1 . Ed

Quadratic_Equations/223760: Please help me solve this Quadratic equation. 9x^2+6x-4=0 I have solved it down to -6 sqrt 180 / 18. this is also the same as your sight gave me, but the answer key says this. -1 sqrt 5 / 5 1 solutions Answer 167255 by edjones(7569)   on 2009-10-08 15:09:01 (Show Source): You can put this solution on YOUR website! [-6+-sqrt(180)]/18 is what you got NOT what you posted. =[-6+-sqrt(36*5)]/18 =[-6+-6sqrt(5)]/18 =[-1+-sqrt(5)]/3 better . Ed

Numeric_Fractions/223758: how do you solve 8u-2=7u-4 ? 1 solutions Answer 167244 by edjones(7569)   on 2009-10-08 14:39:35 (Show Source): You can put this solution on YOUR website! 8u-2=7u-4 u=-2 add -7u+2 to each side. . Ed