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edjones answered: 7568 problems
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Rectangles/353903: A rectangle has a a base unit of x units. The area is (4x^2- 2x)square units. what is the height of the rectangle in terms of x. 1 solutions Answer 252990 by edjones(7569)   on 2010-10-09 14:32:23 (Show Source): You can put this solution on YOUR website! (4x^2-2x)/x = 4x-2 height

Probability-and-statistics/353917: Assessment 9-1A p. 529 # 6 6. Riena has six unmarked CDs in a box, where each is dedicated to exactly one of English, mathematics, French, American history, chemistry, and computer science. Answer the following questions: a. If she chooses a CD at random, what is the probability she chooses the English CD? b. What is the probability that she chooses a CD that is neither mathematics nor chemistry? 1 solutions Answer 252988 by edjones(7569)   on 2010-10-09 14:27:57 (Show Source): You can put this solution on YOUR website! a. 1/6 b. 4/6 = 2/3 . Ed

Probability-and-statistics/353920: Assessment 9-4A p. 573# 13 13. From a set of eight marbles, five red and three white, you choose one at random. What are the odds in favor of choosing a red marble? 1 solutions Answer 252985 by edjones(7569)   on 2010-10-09 14:25:19 (Show Source): You can put this solution on YOUR website! Probability of choosing a red marble: 5/8 odds in favor of choosing a red marble: 5 to 3. . Ed

Functions/353919: Assessment 9-2A p. 550#16 16. Four blue socks, four white socks, and four gray socks are mixed in a drawer. You pull out two socks, one at a time, without looking. a. Draw a tree diagram along with the possible outcomes and the probabilities of each branch. b. What is the probability of getting a pair of socks of the same color? c. What is the probability of getting two gray socks? d. Suppose that, instead of pulling out two socks, you pull out four socks. What is the probability now of getting two socks of the same color? 1 solutions Answer 252982 by edjones(7569)   on 2010-10-09 14:20:07 (Show Source): You can put this solution on YOUR website! b. 3/11 c. 4/12 * 3/11 = 1/11 d. The question is unclear. It doesn't say "exactly" 2 pair. You are bound to get at least 2 socks the same color but you could get 2 pair or three or 4 of a kind. . Ed

Triangles/353559: If a, b and c are the sides of a triangle, and a^2 + b^2 + c^2 = bc + ca + ab, then the triangle is a. equilateral b. isosceles c. right-angled d. obtuse-angled 1 solutions Answer 252725 by edjones(7569)   on 2010-10-08 13:27:24 (Show Source): You can put this solution on YOUR website! a. Let all the side be 3 a^2 + b^2 + c^2=9+9+9 bc + ca + ab=9+9+9 . Ed

Travel_Word_Problems/353635: One train runs 90% of the time and goes 55 mph any time it runs (no acceleration lag time) Another train runs 10% of the time. How fast does this train have to go (mph) to exceed the distance of the other train? 1 solutions Answer 252718 by edjones(7569)   on 2010-10-08 13:16:27 (Show Source): You can put this solution on YOUR website! 1st train: 9*55=495 mi in 10 hrs 2nd train would have to travel at greater than 495 mph to exceed the distance of the other train. . Ed

Numeric_Fractions/353628: 5/m+2 - 4/m-2 = -20/m^2-4 1 solutions Answer 252715 by edjones(7569)   on 2010-10-08 13:11:02 (Show Source): You can put this solution on YOUR website! 5/m+2 - 4/m-2 = -20/m^2-4 5(m-2)-4(m+2)=-20 Multiply each side by m^2-4. 5m-10-4m-8=-20 m=-2 This would cause division by zero, which is not allowed. The variable is undefined. . Ed

Probability-and-statistics/353459: "According to the U.S. Census, 50.9% of the U.S. population is female. NBC news reported that 1 out of 12 males, but only 1 out of 250 females is color blind. Given that a person randomly chosen from the U.S. population is color-blind, what is the probability that the person is male?" 1 solutions Answer 252587 by edjones(7569)   on 2010-10-08 01:13:24 (Show Source): You can put this solution on YOUR website! 49.1 * 1/12 = 4.09% colorblind 50.9 * 1/250 = .20% colorblind . 4.09 + .20 = 4.29% population colorblind . 4.09/4.29 = .953 probability that the person is male. . Ed

Expressions-with-variables/353465: algeabric expression for "the sum of t TVs and 11TVs 1 solutions Answer 252583 by edjones(7569)   on 2010-10-08 00:55:42 (Show Source): You can put this solution on YOUR website! (11+t)TVs

Exponents-negative-and-fractional/353512: 3_+(-4_)+(-2_) 8 7 3 1 solutions Answer 252582 by edjones(7569)   on 2010-10-08 00:54:34 (Show Source): You can put this solution on YOUR website! 3/8 + -4/7 + -2/3 63/168 - 96/168 - 112/168 =-145/168 . Ed

Linear-systems/353471: The sum of the denominator and numerator of a fraction is 14. When 7 is added to each, the resulting fraction has a value of 3/4. What is the original fraction? 1 solutions Answer 252581 by edjones(7569)   on 2010-10-08 00:48:42 (Show Source): You can put this solution on YOUR website! Let the fraction be x/y x+y=14 (x+7)/(y+7)=3/4 4(x+7)=3(y+7) 4x+28=3y+21 4x-3y=-7 3x+3y=42 ---------add 7x=35 . x=5 y=9 . 5/9 is the original fraction. . Ed

Polynomials-and-rational-expressions/353472: 9x+2=10x-4 1 solutions Answer 252577 by edjones(7569)   on 2010-10-08 00:39:36 (Show Source): You can put this solution on YOUR website! 9x+2=10x-4 -x=-6 x=6 . Ed

Square-cubic-other-roots/353491: how do you do variables in square roots and help me with this in simplest radical form 1. √y^2 2. √-144x^2 3. √144x^4 1 solutions Answer 252576 by edjones(7569)   on 2010-10-08 00:38:24 (Show Source): You can put this solution on YOUR website! 1. √y^2 =|y|

Problems-with-consecutive-odd-even-integers/353492: find 2 consecutive odd integers whose product is 5 less than 5 times their sum. Domain for the smallest: (0,6,9) 1 solutions Answer 252575 by edjones(7569)   on 2010-10-08 00:36:33 (Show Source): You can put this solution on YOUR website! There is no odd integers that satisfy this problem.

Numeric_Fractions/353486: Write each fraction in simplest form.17/51 1 solutions Answer 252573 by edjones(7569)   on 2010-10-08 00:26:13 (Show Source): You can put this solution on YOUR website! 17/51=1/3

Square-cubic-other-roots/353493: 5x10exponent-5 1 solutions Answer 252572 by edjones(7569)   on 2010-10-08 00:24:50 (Show Source): You can put this solution on YOUR website! 5*10^-5 =5/100000 =1/20,000 . Ed

expressions/353496: how would you do 2+2x-5x-3? 1 solutions Answer 252571 by edjones(7569)   on 2010-10-08 00:21:06 (Show Source): You can put this solution on YOUR website! 2+2x-5x-3 =-3x-1

Linear-equations/353506: Hello. I am a college student dealing with linear equations. I have finsihed the rest of my assignment, but I am stuck on this one problem. x-y = 3 -6x+6y=17 The instructions to this problem say to Solve each system by the addition method. Determine whether the equations are independent, dependent, or inconsistent. The example says to multiply each side by the x value. This is what I have come up with: x-y = 3 (1) -6x + 6y = 17 (2) I multiplied (1) by 6 and (2) by 1 I came up with 6x-6y= 18 -6x+6y = 17 then I end up with both 0 x and 0 y ox + 0y = 35 That did not give me a workable answer. Then I tried multiplying (1) by -6 and (2) by 1 -6x+6y = -18 -6x+6y = 17 -12x + 12y = -1 or -6x-6y = -18 -6x+6y = 17 -12x+oy = -1 -12x = -1 x = -1/-12 x = 1/12 or .083... That just does not seem right to me. Can you please help me figure out what I am doing wrong! 1 solutions Answer 252570 by edjones(7569)   on 2010-10-08 00:19:33 (Show Source): You can put this solution on YOUR website! x-y = 3 -6x+6y=17 . 6x-6y=18 -6x+6y=17 ----------add 0=35 . There is no answer. . Ed

Percentage-and-ratio-word-problems/353501: if one is added to a fraction and then the result is inverted and subtracted from the fraction, the difference is 1/15. what is the original fraction? 1 solutions Answer 252569 by edjones(7569)   on 2010-10-08 00:15:19 (Show Source): You can put this solution on YOUR website! Let the fraction be x. x+1 x - 1/(x+1) = 1/15 15x(x+1)-15=x+1 15x^2+15x-15=x+1 15x^2+14x-16=0 x=-8/5, x=2/3 Quadratic formula. . Ed

Linear-systems/353415: "How do you graph this line, using the slope-intercept form what I have tried: 2y/2=2 1/2/2=? -10/2=-5 y=?x-5 1 solutions Answer 252539 by edjones(7569)   on 2010-10-07 21:22:40 (Show Source): You can put this solution on YOUR website! 2y=1/2x - 10 y=1/4x - 5 Slope-intercept form. Make a table of x and y values. . Ed

Probability-and-statistics/353428: an unprepared student makes a random guesses on all questions if her multiple choice test. If there are 17 questions and each question has 4 possible answers, what is the probability she will answer at least one answer right 1 solutions Answer 252532 by edjones(7569)   on 2010-10-07 20:50:42 (Show Source): You can put this solution on YOUR website! expand the binomial (x+y)^17 Let x=..75 and y=.25 . x^17=.0075 all wrong. 1-.0075=.9925 probability she will answer at least one answer right. . Ed

Miscellaneous_Word_Problems/353434: If 64 people earned over $100000 last year and this was 20% of the faculty at a college, how many total faculty members are there at this school? 1 solutions Answer 252522 by edjones(7569)   on 2010-10-07 20:39:41 (Show Source): You can put this solution on YOUR website! Let x=total number of faculty members. .2x=64 x=64/.2 =320 total faculty members at this school. . Ed

Surface-area/353433: what is the length of one side, square whose area is 81 cm please tell me the formula for the answer 1 solutions Answer 252517 by edjones(7569)   on 2010-10-07 20:36:28 (Show Source): You can put this solution on YOUR website! sqrt(81)=9 cm

Quadratic_Equations/353418: Solve the quadratic equation by completing the square: 4(x)^2 – 12(x) – 55 = 0 4(x)^2 – 12(x) = 55 4(x)^2 – 3(x) = 55 (x)^2 – 3(x) = 55/4 I know I have to add (b/2)^2 to both sides of the equation, which I calculated as 9/4...or do I keep this as (3/2)^2? (x^2 – 3x + 9/4) = (55/4 + 9/4) (x^2 – 3x + 9/4) = 16 And this is where I get lost. There seem to be so many different ways this is done and I can't figure out what my goal is. I've been trying to figure this out for a while and could use a little guidance. Thanks for your time :-) 1 solutions Answer 252516 by edjones(7569)   on 2010-10-07 20:35:32 (Show Source): You can put this solution on YOUR website! Solve the quadratic equation by completing the square: 4x^2–12x–55=0 4x^2–12x=55 x^2–3x= 55/4 The line above this was incorrect and I removed it. This is correct. x^2-3x+9/4=9/4 + 55/4 (x - 3/2)^2 =16 Factor left side x - 3/2 = +-4 sqrt of each side x=1.5 +-4 [3/2=1.5] x=5.5, x=-2.5 . You did the hard part. . Ed

Quadratic_Equations/353348: list an equation that models the following characteristics: Graph is a parabola that opens up vertex is loctaed at (-73,26) 1 solutions Answer 252507 by edjones(7569)   on 2010-10-07 20:02:45 (Show Source): You can put this solution on YOUR website! f(x)=a(x-h)^2+k The vertex=(h,k)=-73,26 a is positive because the parabola opens up. f(x)=a(x+73)^2+26 Let's make a=1. f(x)=(x+73)^2+26 =x^2+146x+5329+26 . Ed .

real-numbers/353387: Identify the type of reasoning in the following situation: You notice a pattern in the following sequence of numbers: -1, 5, 11, 17, 23… You conclude that the next number must be 29 1 solutions Answer 252500 by edjones(7569)   on 2010-10-07 19:42:21 (Show Source): You can put this solution on YOUR website! Inductive reasoning.

Human-and-algebraic-language/353382: A student averages 84 on five tests. If the student received grades of 84, 82, 81, and 79 on the first four exams, what grade did the student receive on the fifth exam? 1 solutions Answer 252499 by edjones(7569)   on 2010-10-07 19:38:44 (Show Source): You can put this solution on YOUR website! Let the grade on the 5th exam = x (84+82+81+79+x)/5 = 84 326+x=420 x=94 . Ed

Linear_Equations_And_Systems_Word_Problems/353334: Please help me solve this equation 2/3y+2=1/5+y 1 solutions Answer 252498 by edjones(7569)   on 2010-10-07 19:34:00 (Show Source): You can put this solution on YOUR website! Is it (2/3)y + 2 ? or (2/3)(y+2) ? or 2/3y +2 ? or 2/(3y+2) ? and =1/5 + y ? or=1/(5+y) ? . Use parentheses or we will never know and you will never get your questions answered!

Geometry_Word_Problems/353353: You have a 500-foot roll of fencing and a large field. You want to construct a rectangular playground area. What are the dimensions of the largest such yard? What is the largest area? 1 solutions Answer 252494 by edjones(7569)   on 2010-10-07 19:23:10 (Show Source): You can put this solution on YOUR website! A square is the largest such yard. 500/4=125' by 125' dimensions of the largest such yard. Area=125^2=15,625 ft^2 . Ed

Geometry_Word_Problems/353355: You have a 1200 foot roll of fencing and a large field. You want to make two paddocks by splitting a rectangular enclosure in half. What are the dimensions of the largest such enclosure? 1 solutions Answer 252493 by edjones(7569)   on 2010-10-07 19:18:04 (Show Source): You can put this solution on YOUR website! A square is a rectangle with the largest area. We need 5 equal pieces of fencing. 1200/5=240' 240*240 dimensions of the entire 2 paddocks. 240*120 each . Ed

absolute-value/353354: the product of 5/7, and unknown number of marbles in a pan minus 30 is 3 times the unknown of marbles minus 30 1 solutions Answer 252488 by edjones(7569)   on 2010-10-07 19:05:52 (Show Source): You can put this solution on YOUR website! Let x=number of marbles in a pan 5x/7 -30 = 3x-30 5x/7=3x 5x=21x 16x=0 x=0 . Ed