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# Recent problems solved by 'edjones'

edjones answered: 7568 problems
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 Functions/426404: find the domain of each of the following functions f(x)=√x + 6 f(x)=1/√(x + 6)1 solutions Answer 296638 by edjones(7569)   on 2011-03-23 22:59:36 (Show Source): You can put this solution on YOUR website!f(x)=√x + 6 X[0, infinity) . f(x)=1/√(x+6) X[-6, infinity) . Ed
 Triangles/426408: Find the area of a triangle with base = 1 3/4 inches and height = inch 5/71 solutions Answer 296636 by edjones(7569)   on 2011-03-23 22:49:37 (Show Source): You can put this solution on YOUR website!b=7/4, a=5/7 A= 1/2 ab = 1/2 * 7/4 * 5/7 =35/56 =5/8 in^2 . Ed
 Numbers_Word_Problems/426410: Find three consecutive numbers such that the sum of one-fourth the first and one-fifth the second is five less than one-seventh the third.1 solutions Answer 296635 by edjones(7569)   on 2011-03-23 22:45:13 (Show Source): You can put this solution on YOUR website!Let the numbers be x, x+1, x+2. x/4 + (x+1)/5 = (x+2)/7 - 5 35x+28(x+1)=20(x+2)-700 Multiply each side by 140 (LCM). 35x+28x+28=20x+40-700 43x=-688 x=-16, -15, -14 the three numbers. . Ed
 Linear-equations/426411: Evaluate f(x) for the value indicated. f(x) = -2x^2 - 9x + 4 for f(-2) 1 solutions Answer 296634 by edjones(7569)   on 2011-03-23 22:33:24 (Show Source): You can put this solution on YOUR website!f(x) = -2x^2 - 9x + 4 for f(-2) f(-2) = -2(-2)^2 - 9(-2) + 4 =-2(4)-(-18)+4 =-8+18+4 =14 . Ed
 Triangles/426412: one angle of a triangle is a right angle. another angle of the triangle is three times the smallest angle. what are the measures of all the angles?1 solutions Answer 296632 by edjones(7569)   on 2011-03-23 22:28:18 (Show Source): You can put this solution on YOUR website!90+x+3x=180 90+4x=180 4x=90 x=22.5 3x=67.5 . Ed
 Equations/426437: Solve the equation. A = pi r^2 for r. Find the radius r of the drum. Round to the nearest tenth. A = 153.9"^2 1 solutions Answer 296631 by edjones(7569)   on 2011-03-23 22:24:02 (Show Source): You can put this solution on YOUR website!pi*r^2=153.9 r^2=153.9/pi =49.0 r=7 . Ed
 Pythagorean-theorem/426433: what is a2 + b2 = c2 if a = 12 and b = 121 solutions Answer 296628 by edjones(7569)   on 2011-03-23 22:18:52 (Show Source): You can put this solution on YOUR website!a^2 + b^2 = c^2 12^2+12^2=c^2 c^2=144*2 c=sqrt(144*2) =12sqrt(2) . Ed
 Polynomials-and-rational-expressions/426428: I really need your help, I tried this and keep coming up with the wrong answer.-------> solve (4a-3)=a+13/a+1.... the answer I got was 2,-2 but was wrong.. thanks1 solutions Answer 296625 by edjones(7569)   on 2011-03-23 22:14:48 (Show Source): You can put this solution on YOUR website!We can't answer the question without two parentheses after the equal sign.
 Probability-and-statistics/426421: In how many different ways 3 people can be selected out of 8 candidates to be awarded with first prize, second prize and third prize (order of selection makes a difference)?1 solutions Answer 296623 by edjones(7569)   on 2011-03-23 22:12:10 (Show Source): You can put this solution on YOUR website!Permutation=arrangement of n things taken r at a time=n!/(n-r)! 8!/(8-3)! =8*7*6*5!/5! =8*7*6 =336 ways . Ed
 test/426422: Solve log base 2 (x+8)=41 solutions Answer 296622 by edjones(7569)   on 2011-03-23 22:07:51 (Show Source): You can put this solution on YOUR website!log[2](x+8)=4 2^(log[2](x+8))=2^4 x+8=16 x=8 . Ed
 Miscellaneous_Word_Problems/426415: Josh and his dad can was the car 40 minutes. Josh can was it by himself in 70 minutes. How long would it take his dad to wash it by himself?1 solutions Answer 296618 by edjones(7569)   on 2011-03-23 21:53:26 (Show Source): You can put this solution on YOUR website!1/70 + x = 1/40 4+280x=7 multiply each side by 280. 280x=3 x=3/280 amount of the job his father can do in one minute. 280/3=93 1/3 minutes Length of time it takes father to do the job. . Ed
 test/426413: Solve x^2+10x=56 by completing the square1 solutions Answer 296615 by edjones(7569)   on 2011-03-23 21:42:52 (Show Source): You can put this solution on YOUR website!x^2+10x=56 x^2+10x+25=56+25 (x+5)^2=81 x+5=+-9 x=-5+9=4, x=-5-9=-14 . Ed
 Polynomials-and-rational-expressions/426399: solve using the principle of zero products s(s+5)=01 solutions Answer 296612 by edjones(7569)   on 2011-03-23 21:31:13 (Show Source): You can put this solution on YOUR website!s(s+5)=0 s=0, s=-5 . Ed
 Miscellaneous_Word_Problems/426394: when 25 students went to Washington DC 18 of them visited the Museum of National History and 22 visited the natioonal air and space museum. how many students visited both?1 solutions Answer 296609 by edjones(7569)   on 2011-03-23 21:24:41 (Show Source): You can put this solution on YOUR website!Asuming that each student went to at least one of the museums then 15 saw both. Make a Venn diagram to prove this to yourself. . Ed
 Square-cubic-other-roots/426347: Write an equation in simplest radical form to express the area, A, of an equilateral triangle in terms of the side x1 solutions Answer 296592 by edjones(7569)   on 2011-03-23 20:27:32 (Show Source): You can put this solution on YOUR website!The equilateral triangle contains two 30-60-90 triangles, each with legs of .5x, .5xsqrt(3) and x, the hypotenuse. The area of one of the 30-60-90 triangles is .5*.5x*.5xsqrt(3)=.125sqrt(3)x^2 the area of the equilateral triangle is .25sqrt(3)x^2 . Ed
 Probability-and-statistics/426346: lydia got a 45% on the test. she got 45 problems corect. how many questions were on the test?? 1 solutions Answer 296582 by edjones(7569)   on 2011-03-23 20:14:22 (Show Source): You can put this solution on YOUR website!45/100=45%
 Distributive-associative-commutative-properties/426280: can you please show me this step by step? 3+2(13/3)1 solutions Answer 296565 by edjones(7569)   on 2011-03-23 19:23:15 (Show Source): You can put this solution on YOUR website!3+2(13/3) = 3 + 26/3 = 9/3 + 26/3 = 35/3 . Ed
 Graphs/426283: I don't know how to do this at all and I understand nothing about inequalities. So If you could maybe email me a link to the BEST and i mean the BEST of the BEST websites that describes that, i would appreciate it SO SO much ! I have to retake my Algebra 1 test and ACE it in order to pass 8th grade. PLEASE I NEED HELP.1 solutions Answer 296564 by edjones(7569)   on 2011-03-23 19:17:56 (Show Source): You can put this solution on YOUR website!purplemath.com is the best site I have found. . Ed
 Proportions/422037: The sum of four numbers is 771. The ratio of the first number to the second number is 2:3. The ratio of the second number to the third number is 5:4. The ratio of the third number to the fourth number is 5:6. What is the second number?1 solutions Answer 294621 by edjones(7569)   on 2011-03-14 16:22:18 (Show Source): You can put this solution on YOUR website!Let the 1st number = x x + 3x/2 + 3x/2 * 4/5 + 6x/5 * 6/5 x + 3x/2 + 6x/5 + 36x/25 = 771 50x+75x+60x+72x=38550 Multiply each side by 50. 257x=38550 x=150 3x/2=225 the 2nd number . Ed
 Systems-of-equations/422024: log 6 +log (x-3)=2 log y 2y-x=31 solutions Answer 294615 by edjones(7569)   on 2011-03-14 15:46:18 (Show Source): You can put this solution on YOUR website!log 6 +log (x-3)=2 log y 10^(log 6)*10^(log (x-3))= 10^log y^2 6(x-3)=y^2 y^2=6x-18 2y-x=3 2y=x+3 y=(x+3)/2 (x^2+6x+9)/4=6x-18 x^2+6x+9=24x-72 x^2-18x+81=0 (x-9)^2=0 x=9 y=6 . Ed
 Trigonometry-basics/421816: find the roots of the equations x^2+7=2x and express answer in simpliest a + bi form1 solutions Answer 294518 by edjones(7569)   on 2011-03-14 08:07:38 (Show Source): You can put this solution on YOUR website!x^2+7=2x x^2-2x+7=0 x^2-2x =-7 x^2-2x+1=-7+1 Completing the square. (x-1)^2=-6 x-1=+-sqrt(-6) x=1+-sqrt(6)i x=1+sqrt(6)i, x=1-sqrt(6)i . Ed
 Linear-systems/421834: i have to solve for x and y. 4y=x+131 solutions Answer 294517 by edjones(7569)   on 2011-03-14 08:00:54 (Show Source): You can put this solution on YOUR website!4y=x+13 y=(x+13)/4 x=4y-13 . Ed
 Equations/421836: 1/a + 1/b = 1/c need final formula & steps to solve for c1 solutions Answer 294516 by edjones(7569)   on 2011-03-14 07:58:05 (Show Source): You can put this solution on YOUR website!1/a + 1/b = 1/c cb+ca=ab multiply each side by abc. c(b+a)=ab c=ab/(b+a) . Ed
 Equations/421837: half of a sum of money is 20. find the whole sum of money1 solutions Answer 294514 by edjones(7569)   on 2011-03-14 07:53:16 (Show Source): You can put this solution on YOUR website!40
 Travel_Word_Problems/421874: If Sally can paint a house in 4 hours, and John can paint the same house in 6 hours, how long will it take for both of them to paint the house together? Thank you1 solutions Answer 294513 by edjones(7569)   on 2011-03-14 07:51:53 (Show Source): You can put this solution on YOUR website!Let t=time it takes them working together. john does 1/6 the job in 1 hr and sally does 1/4. 1/4 + 1/6 = 1/t 3/12 + 2/12 = 5/12 t=12/5 hrs. working together. . Ed
 Systems-of-equations/421862: Solve for x and y: (x)^2 / 6 - y / 4 = 1, x + y = 51 solutions Answer 294511 by edjones(7569)   on 2011-03-14 07:46:44 (Show Source): You can put this solution on YOUR website!(x)^2 / 6 - y / 4 = 1, x + y = 5 . y=5-x x^2/6 - (5-x)/4 = 1 2x^2-3(5-x)=12 Multiply each side by 12. 2x^2+3x-15=12 2x^2+3x-27=0 2*-27=-54; Two factors of -54 whose sum is 3 are 9 and -6 2x^2-6x+9x-27=0 2x(x-3)+9(x-3)=0 (2x+9)(x-3)=0 x=-9/2, y=19/2 x=3, y=2 . Ed
 logarithm/421866: A rectangular block has a square base. The length of each side of the base is (√3 - √2)m and volume of the block is (4√2 - 3√3) cubic metre. Find the height of the block in the form (a√2 + b√3) where a and b are constants. *√ = square root or under root :)1 solutions Answer 294507 by edjones(7569)   on 2011-03-14 06:51:05 (Show Source): You can put this solution on YOUR website!h(sqrt(3)-sqrt(2))^2=4sqrt(2)-3sqrt(3) h(5-2sqrt(3)(sqrt(2))=... h=(4sqrt(2)-3sqrt(3))/(5-2sqrt(6)) =(4sqrt(2)-3sqrt(3))/(5-2sqrt(6)) * (5+2sqrt(6))/(5+2sqrt(6)) rationalize the denominator. =sqrt(3)+2sqrt(2) . Ed
 Probability-and-statistics/421864: . Application of addition law: Let A be the event that a student is enrolled in an accounting course, and let S be the event that a student is enrolled in a statistics course. It is known that 30% of all students are enrolled in an accounting course and 40% of all students are enrolled in statistics. Included in these numbers are 15% who are enrolled in both statistics and accounting. a. Find P(S). b. Find the probability that a student is in accounting and is also in statistics. c. A student is randomly selected, and it is found that the student is enrolled in accounting. What is the probability that this student is also enrolled in statistics? d. A student is randomly selected, and it is found that the student is enrolled in statistics. What is the probability that this student is also enrolled in accounting? e. A student is randomly selected, what is the probability that the student is enrolled in either accounting or statistics or both? f. From this information, what can be concluded about two events? 1 solutions Answer 294504 by edjones(7569)   on 2011-03-14 06:22:31 (Show Source): You can put this solution on YOUR website!Make a Venn diagram to understand this problem. a) .4 b) .15/.30 = .5 c) .5 d) .15/.40 = .375 e) .15+.15+.25=.55 f) They are dependent because P(A|S) <> P(A) . Ed
 Equations/421441: I am homeschooled and I have worked on this problem for hours. My mom finally gave me the answer but I don't seem to know how to do the steps correctly to get the answer. If I put my work in here it would take up all the space, so here is the question and the answer. I need the steps. ((x+3)/(x+5)) + ((6) / (x^2 +3x -10)); the answer is ((x^2 + x)/ (x^2 + 3x -10)) 1 solutions Answer 294351 by edjones(7569)   on 2011-03-13 07:13:10 (Show Source): You can put this solution on YOUR website!((x+3)/(x+5)) + ((6)/(x^2 +3x -10)) =((x+3)/(x+5)) + ((6)/((x+5)(x-2)) =(((x+3)(x-2))+6)/((x+5)(x-2)) =(x^2+x-6+6)/(x^2+3x-10) =(x^2+x)/(x^2+3x-10) . Ed
 Triangles/421490: The question says: Find x and the measure of each side of the triangle. This is the problem: Triangle FGH is equilateral with FG= x+5, GH= 3x-9, and FH= 2x-2. I don't understand how to find the answer.1 solutions Answer 294349 by edjones(7569)   on 2011-03-13 06:48:10 (Show Source): You can put this solution on YOUR website!x+5=3x-9 2x=14 x=7 . x+5 =7+5 =12 length of each side of the triangle. . Ed
 Numbers_Word_Problems/421452: 1. How many 2 digit numbers are possible such that the sum of their digits is equal to twice the difference between the digits? 2. How many 3 digit numbers do not change their value, even if the digits are reversed?1 solutions Answer 294348 by edjones(7569)   on 2011-03-13 06:42:18 (Show Source): You can put this solution on YOUR website!2) 101 111 121 131 141 151 161 171 181 191 . . . . . . . 909 919 929 939 949 959 969 979 989 999 . 90 Answer . Ed