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# Recent problems solved by 'psbhowmick'

Jump to solutions: 0..29 , 30..59 , 60..89 , 90..119 , 120..149 , 150..179 , 180..209 , 210..239 , 240..269 , 270..299 , 300..329 , 330..359 , 360..389 , 390..419 , 420..449 , 450..479 , 480..509 , 510..539, >>Next

 Quadratic_Equations/627599: 1 solutions Answer 395049 by psbhowmick(529)   on 2012-07-11 14:43:06 (Show Source): You can put this solution on YOUR website!Only one question per post!!!
 sets-and-operations/627583: QUESTION TIME!~ in a class of 40 students, 17 have ridden an airplane 28 have ridden a boat 10 have ridden a train 12 have ridden both airplane and a boat 3 have ridden a train only 4 have ridden an airplane only some students in the class have not ridden any of the modes of transportation. QUESTION: how many students have taken all three transportation?1 solutions Answer 395001 by psbhowmick(529)   on 2012-07-11 11:48:58 (Show Source): You can put this solution on YOUR website!Let the no. of students who have ridden airplane be A, the no. of students who have ridden boat be B and that who have ridden train be C. Further, let the no. of students who have ridden only airplane be A', the no. of students who have ridden only boat be B' and that who have ridden only train be C'. If the total number of students be N then we have N = A' + B' + C' + A∩B + B∩C + C∩A + A∩B∩C ________ (1) Also, we know A' = A - A∩B - C∩A ________ (2) B' = B - A∩B - B∩C ________ (3) C' = C - B∩C - C∩A ________ (4) Substituting in the equation (1) we have N = A + B + C - A∩B - B∩C - C∩A + A∩B∩C __________ (5) Now let us list all the values that we have: N = 40, A = 17, B = 28, C = 10, A∩B = 12, C' = 3, A' = 4 Substituting all these values into equation (5) 40 = 17 + 28 + 10 - 12 - (B∩C + C∩A) + A∩B∩C 40 = 17 + 28 + 10 - 12 - (C - C') + A∩B∩C [Using equation (4)] 40 = 17 + 28 + 10 - 12 - (10 - 3) + A∩B∩C A∩B∩C = 4 Answer: The no. of students who have ridden all modes of transportation is 4.
 Trigonometry-basics/627346: find the least value of:- 1 solutions Answer 394891 by psbhowmick(529)   on 2012-07-10 15:01:19 (Show Source): You can put this solution on YOUR website! = The minimum value of the expression will be obtained when the square term will be zero. To satisfy that . Thus, the expression reduces to This will be minimum when will be minimum which is 1. Hence, the minimum value of the given expression is 8.
 Permutations/627330: How many committes of 4 can be formed from 20 Republicans and 15 Democrats if at least 1 Republican and at least 1 Democrat must be on the committee?1 solutions Answer 394882 by psbhowmick(529)   on 2012-07-10 14:45:01 (Show Source): You can put this solution on YOUR website!Combinations possible in the committee a) 1 Republican + 3 Democrats: 20C1 x 15C3 = 20 x (13x14x15)/(2x3) = 9100 b) 2 Republican + 2 Democrats: 20C2 x 15C2 = (19x20)/2 x (14x15)/2 = 19950 c) 3 Republican + 1 Democrats: 20C3 x 15C1 = (18x19x20)/(2x3) x 15 = 17100 Total number of such committees possible is: a + b + c = 46150.
 Trigonometry-basics/627303: Find the measure of b, given m angle A = 38^o, m angle B = 74^o, and a = 31 A. 19.9 B. 18.3 C. 37.8 D. 48.4 1 solutions Answer 394860 by psbhowmick(529)   on 2012-07-10 13:42:05 (Show Source): You can put this solution on YOUR website!Use Sine rule
 Volume/627292: Hi, How many layers of balls 22cm diameter i can fit in 6 feet square base pyramid. I know how to calculate number of balls in each layer i just need to calculate number of layers. 1 solutions Answer 394840 by psbhowmick(529)   on 2012-07-10 13:06:47 (Show Source): You can put this solution on YOUR website!What is the height of the pyramid?
 Polynomials-and-rational-expressions/627306: DIVIDE and show all steps to your solution. Problem: t^4 +t^3+2t^2-t-3 ----------------- t + 1 Solution: I do not even know where to begin on this polynomial. Thanks in advance for any and all help.1 solutions Answer 394839 by psbhowmick(529)   on 2012-07-10 13:02:20 (Show Source): You can put this solution on YOUR website! = = = =
 Exponents/627312: Find rational exponents that satisfy the equation 32^? = 81 solutions Answer 394838 by psbhowmick(529)   on 2012-07-10 12:59:10 (Show Source): You can put this solution on YOUR website! Any real number to the power zero is 1. So, i.e.
 Equations/627061: Need help solving a word problem with drawing a diagram and a table. Olimpiada Ivanova, a world-record holding race-walker, is on one end of a 6-mile track. John Doe, an average walker, is on the other end of the track. The two start walking towards each other and meet in 1/2 hour. If Olimpiada's average speed exceeds John's by 6 mph, find the speed of both walkers. represent your unknown: ? S=Speed for both walkers J+6=Olympiada's average speed draw diagram: fill out a table: solve equation: check:1 solutions Answer 394640 by psbhowmick(529)   on 2012-07-09 16:11:39 (Show Source): You can put this solution on YOUR website!Solve it like this. The way you were proceeding is incorrect as the average speed of both are NOT the same. Let the average speed of Olimpiada be x mph. Then, Joe's average speed is (x-6) mph. Hence, the distance covered by Olimpiada in 0.5 hr = x/2 miles, and the distance covered by John in 0.5 hr = (x-6)/2 miles. Each were at the extreme end of the 6 mile long track and they meet each other in 0.5 hr. The sum of the distance travelled by them when they met each other is 6 miles. Thus, Olimpiada's average speed is 9 mph whereas John's average speed is 3 mph.
 Matrices-and-determiminant/626890: Find the given element of the matrix product C = AB. A= [3,1,-4,0] [2,-5,0,4] [-4,5,4,1] B= [5,-4,2] [5,5,0] [-3,0,3] [0,-1,2] C23=1 solutions Answer 394555 by psbhowmick(529)   on 2012-07-09 08:51:20 (Show Source):
 Probability-and-statistics/626953: What is the probability of picking any ACE, King, Two, Heart or Spade from a deck of 52 cards.1 solutions Answer 394545 by psbhowmick(529)   on 2012-07-09 08:26:37 (Show Source): You can put this solution on YOUR website!Where is the question?
 Linear-equations/626955: Graph a line that passes through the point (–5, 2) and has a slope of (–3/4). What is the ordered pair of a second point you could use to graph the line?1 solutions Answer 394544 by psbhowmick(529)   on 2012-07-09 08:23:52 (Show Source): You can put this solution on YOUR website!The equation of the line is i.e. . For x = 3, y = -4. Hence another ordered pair through which this straight line passes is (3, -4).
 Probability-and-statistics/626959: 1 solutions Answer 394543 by psbhowmick(529)   on 2012-07-09 08:23:48 (Show Source): You can put this solution on YOUR website!Spam!
 Probability-and-statistics/626958: 1 solutions Answer 394541 by psbhowmick(529)   on 2012-07-09 08:14:21 (Show Source): You can put this solution on YOUR website!Do your homework yourself.
 absolute-value/626956: 4x3(3x-5y+1) 1 solutions Answer 394540 by psbhowmick(529)   on 2012-07-09 08:11:37 (Show Source): You can put this solution on YOUR website!What is the question?
 Angles/626941: the measure of an angle is 30 degree more than twice the measure of its supplement. Find the measures of the angles. 1 solutions Answer 394539 by psbhowmick(529)   on 2012-07-09 08:10:31 (Show Source): You can put this solution on YOUR website!Let the angle be X degree. Then its supplement is (180-X) degree. Given that, Angle - 2 x Supplement = 30. X - 2(180 - X) = 30 X - 360 + 2X = 30 3X = 30 + 360 = 390 X = 390/3 = 130 Hence, the angles are 130 and 50 degrees.
 Probability-and-statistics/626952: What is the probability of rolling a 2, 4 or 8 on a single roll of 2 die? What is the probability of not rolling any of the numbers above on a single roll. Hint: ( Use compliment rule). 1 solutions Answer 394535 by psbhowmick(529)   on 2012-07-09 08:00:31 (Show Source): You can put this solution on YOUR website!Repeat question
 Probability-and-statistics/626951: 1 solutions Answer 394534 by psbhowmick(529)   on 2012-07-09 07:59:29 (Show Source): You can put this solution on YOUR website!Repeat question
 Probability-and-statistics/626948: What is the probability of rolling a 2, 4 or 8 on a single roll of 2 die1 solutions Answer 394530 by psbhowmick(529)   on 2012-07-09 07:45:19 (Show Source): You can put this solution on YOUR website!Use Baye's theorem.
 Rectangles/626939: 1. )Find the length of the diagonal of a rectangle whose sides are 24 cm and 35 cm. 2.) Solve for the area of a square whose diagonal is 16 √2 cm long. 3. What is the area of a right triangle if the hypotenuse is 35 cm and the shorter leg is 21 cm.1 solutions Answer 394529 by psbhowmick(529)   on 2012-07-09 07:40:31 (Show Source): You can put this solution on YOUR website!1) 2) Diagonal of the square of side is . If the diagonal of the square is then . Hence, area of the square is . 3) Use Pythagoras theorem again, the longer side is 28 cm.
 Angles/626942: Find the measure of x given the information in the diagram. two angles equal 8, and the degree is 1021 solutions Answer 394527 by psbhowmick(529)   on 2012-07-09 07:34:04 (Show Source): You can put this solution on YOUR website!Where is the diagram?
 Volume/626944: A cylindrical carton has a base of 160 square feet. If the carton is 16 feet tall, what is the volume of the carton in cubic feet?1 solutions Answer 394526 by psbhowmick(529)   on 2012-07-09 07:32:26 (Show Source): You can put this solution on YOUR website!Volume = Base Area x Height = 160 x 16 = 2560 cubic feet.
 Polynomials-and-rational-expressions/626946: Use f(x)=-2x^2+5x-3/x^2-1 to calculate the horizontal asymptote of f(x) 1 solutions Answer 394525 by psbhowmick(529)   on 2012-07-09 07:30:54 (Show Source): You can put this solution on YOUR website!The vertical asymptotes are: x = 1 and x = -1
 Equations/626945: 3z+3=9 1 solutions Answer 394524 by psbhowmick(529)   on 2012-07-09 07:28:23 (Show Source): You can put this solution on YOUR website!3z + 3 = 9 Subtracting 3 from both sides 3z + 3 - 3 = 9 - 3 3z = 6 Dividing both sides by 3 z = 6/3 = 2
 Volume/626935: how much liquid will fit into a container thatis 320 cubic yards capacity ?1 solutions Answer 394520 by psbhowmick(529)   on 2012-07-09 07:06:18 (Show Source): You can put this solution on YOUR website!Liquid takes the shape and volume of the container into which it is poured. If the capacity of the container is 320 cubic yards then that much volume of liquid can be poured into it at the most.
 Graphs/626937: (8,16) (4,0) (0,-16) WITH THESE POINTS WHAT WOULD THE EQUATION BE FOR Y? 1 solutions Answer 394517 by psbhowmick(529)   on 2012-07-09 06:58:31 (Show Source): You can put this solution on YOUR website!This is a straight line. Observe that the slope is constant (equal to 4). First try to write the equation for the straight line yourself, if you can't then I will help. Cheers!!!
 Sequences-and-series/626885: Consider the following sequence of numbers: 2;4;2;7;2;10;2;13;... a) Calculate the sum of the 50 terms of sequence.1 solutions Answer 394516 by psbhowmick(529)   on 2012-07-09 06:52:53 (Show Source): You can put this solution on YOUR website! Thus, for n=1,2,3,...,etc. we can write and To find sum up to first 50 terms = = = = = = =
 Numbers_Word_Problems/626933: Find three consecutive even integers whose sum is 38 more than four times the largest integer.1 solutions Answer 394515 by psbhowmick(529)   on 2012-07-09 06:35:17 (Show Source): You can put this solution on YOUR website!Let the consecutive even integers be: (2n-2), 2n and (2n+2). Their sum = The largest integer = By problem i.e. Sum - 4 x Largest Integer = 38 Thus, the three consecutive integers are: -48, -46 and -44
 Polynomials-and-rational-expressions/626899: Given: How many total zeros does the function have? Possible real zeros? Possible negative zeros? 1 solutions Answer 394514 by psbhowmick(529)   on 2012-07-09 06:23:12 (Show Source): You can put this solution on YOUR website!Every polynomial in one variable of degree n, n > 0, has exactly n real or complex zeros. Total zeroes = total no. of roots = degree of the polynomial = highest index = 5 Since the coefficients of the polynomial are real so is there has to be complex roots, that will occur in pairs - at max there can be two pairs of complex and conjugate roots. Hence, there is at least one real root. To find max no. of negative roots, express f(x) as f(-x). The no. of sign changes from the term with highest degree of x to that with lowest degree of x is 4. Thus max. possible no. of negative roots is 4.
 t e s t/626932: ``Carpenters A and B can complete a piece of furniture if they work together for 4 days .They can also finish the work if A works 2 days and B works 6 days.How does it take each of them to finish the furniture alone?1 solutions Answer 394513 by psbhowmick(529)   on 2012-07-09 06:01:31 (Show Source): You can put this solution on YOUR website!Already answered