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# Recent problems solved by 'scott8148'

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 Human-and-algebraic-language/271072: There are 216 biographies in the library there are 5 biographies of men for every 4 biographies of women. How many biographies of women are there?1 solutions Answer 198503 by scott8148(6628)   on 2010-02-18 00:07:35 (Show Source): You can put this solution on YOUR website!216 / (5 + 4) = 24 4 * 24 = 96
 Polynomials-and-rational-expressions/270393: the water current is 2 miles per hour . a canoe can travel 6 mile downstream with the current, in the same amount of time it travel 2 miles upstream against the current. what is the canoe rate in still water?1 solutions Answer 198158 by scott8148(6628)   on 2010-02-16 19:19:46 (Show Source): You can put this solution on YOUR website!t = d / r ___ times are the same, upstream and downstream 6 / (c + 2) = 2 / (c - 2) "cross" multiplying ___ 6c - 12 = 2c + 4 4c = 16 ___ c = 4
 Human-and-algebraic-language/270051: To factor a trinomial that is quadratic in form. 16x3 y+4x2y2-42xy31 solutions Answer 197895 by scott8148(6628)   on 2010-02-15 22:08:23 (Show Source): You can put this solution on YOUR website!2xy (8x^2 + 2xy - 21y^2) 2xy (4x + 7y) (2x - 3y)
 Rational-functions/270025: Solve: x^3-4x^2-7x+10=0 Whomever helps, thank you.1 solutions Answer 197881 by scott8148(6628)   on 2010-02-15 21:55:06 (Show Source): You can put this solution on YOUR website!testing for roots using factors of d/a ___ x = 1, x = 5, x = -2
 Volume/270006: Hi, Can you please help me figure out how many gallons are in a container that is 64 inches in diameter and 12 feet long? Thank you! Michelle1 solutions Answer 197869 by scott8148(6628)   on 2010-02-15 21:39:43 (Show Source): You can put this solution on YOUR website!the volume (in cubic inches) is ___ pi * 32^2 * 144 there are 231 cubic inches in a gallon think, division
 Polynomials-and-rational-expressions/269984: How do I factor this trinomial? 30a^2+am-m^2 1 solutions Answer 197845 by scott8148(6628)   on 2010-02-15 20:31:38 (Show Source): You can put this solution on YOUR website!(6a - m) (5a + m)
 Miscellaneous_Word_Problems/269601: Two sides of a triangle have the same length. The third side measures 2m less than twice the common length. The perimeter of the triangle is 22m. What are the lengths of the three sides?1 solutions Answer 197575 by scott8148(6628)   on 2010-02-14 19:39:12 (Show Source): You can put this solution on YOUR website!"Two sides of a triangle have the same length" ___ 2x "The third side measures 2m less than twice the common length" ___ 2x - 2 "The perimeter of the triangle is 22m" ___ 2x + 2x - 2 = 22 4x - 2 = 22 ___ x = 6 2x - 2 = 10 the sides are 6, 6 ,and 10
 Linear_Equations_And_Systems_Word_Problems/269603: The area of a rectangle is given by the following polynomial: 44t - 2t^2 If the length of one side is 2t, what is the polynomial that expresses the length of the other side?1 solutions Answer 197572 by scott8148(6628)   on 2010-02-14 19:32:46 (Show Source): You can put this solution on YOUR website!(44t - 2t^2) / 2t = 22 - t
 Percentage-and-ratio-word-problems/269587: For lunch Robert had a sandwich and two glasses of milk for a total of 660 calories. The sandwich had 2.4 times as many calories as a glass of milk. How many calories were in the sandwich? PLEASE PLEASE HELP i want to do well!1 solutions Answer 197569 by scott8148(6628)   on 2010-02-14 19:28:44 (Show Source): You can put this solution on YOUR website!it is easier to solve for the milk first let x=milk " The sandwich had 2.4 times as many calories as a glass of milk" ___ 2.4x "a sandwich and two glasses of milk for a total of 660 calories" ___ 2.4x + 2x = 660 4.4x = 660 ___ x = 150 sandwich = 2.4x = 360
 Probability-and-statistics/269541: Assume the balls in the box are numbered 1 through 8, and that an experiment consists of randomly selecting 3 balls one after another without replacement. What probability should be assigned to the event that at least one ball has an odd number? 1 solutions Answer 197563 by scott8148(6628)   on 2010-02-14 19:17:10 (Show Source): You can put this solution on YOUR website!number of ways to select 3 out of 8 ___ 8C3 = 56 number of ways to select 3 even balls ___ 4C3 = 4 number of ways to select at least one odd ball ___ 56 - 4 = 52 probability of at least one odd ball ___ 52 / 56 = 13 / 14 = .93 (approx)
 Mixture_Word_Problems/269204: A nurse wishes to add water to 45 ounces of a 17% solution of benzalkonium chloride to dilute it to an 10% solution. How much water must she add?1 solutions Answer 197299 by scott8148(6628)   on 2010-02-13 13:49:04 (Show Source): You can put this solution on YOUR website!45 (17%) + x (0%) = (45 + x) (10%) ___ multiply by 100 to clear percentages 765 + 0 = 450 + 10x 315 = 10x 31.5 = x
 test/269190: given log bA=2.435 and log bB=0.343 find log b A/B? choose fro these four answers 1. 2.092 2. 0.835 3. 2.435 4. 2.7781 solutions Answer 197297 by scott8148(6628)   on 2010-02-13 13:45:10 (Show Source): You can put this solution on YOUR website!dividing numbers means subtracting their logarithms ___ answer 1.
 logarithm/269189: e^-t/4.6=1.73^2.7t The answer is t=0, how do you get this?1 solutions Answer 197295 by scott8148(6628)   on 2010-02-13 13:42:33 (Show Source): You can put this solution on YOUR website!if t=0, then the exponents are zero and (by definition) both sides equal one this is a "default" solution ___ changing any or all other values in the equation does not change the solution ___ alternatively ___ taking the natural log ___ -t / 4.6 = ln(1.73) * 2.7t multiplying by 4.6 ___ -t = ln(1.73) * 12.42t adding t-ln(1.73) ___ -ln(1.73) = 13.42t dividing by 13.42 ___ -ln(1.73) / 13.42 = t t = -.0408 (approx)
 Miscellaneous_Word_Problems/269129: Point C is on the segment AB which has endpoints A(2, -1) and B(11, 5). Point C is twice as far from point A as it is from point B. What are the coordinates of point C?1 solutions Answer 197267 by scott8148(6628)   on 2010-02-13 10:09:03 (Show Source): You can put this solution on YOUR website!the AB distance is 9 on the x-axis and 6 on the y-axis C is 2/3 of the distance from A to B so the AC distance is 6 on the x-axis and 4 on the y-axis C coordinates are (8, 3)
 Length-and-distance/269120: As part of flight training a student pilot was required to fly to an airport and then return. The average speed on the way to the airport was 115 mph, and the average speed returing was 172.5 mph. Find the distance between the two airports if the total flying time was 5 hours.1 solutions Answer 197265 by scott8148(6628)   on 2010-02-13 10:02:30 (Show Source): You can put this solution on YOUR website!(d / 115) + (d / 172.5) = 5 3d + 2d = 5 (345) d = 345
 Travel_Word_Problems/269014: In two hours a boat is rowed downstream 4 miles and back again. If the speed of the stream is 1.5 kts what is that of the boat?1 solutions Answer 197263 by scott8148(6628)   on 2010-02-13 09:50:46 (Show Source): You can put this solution on YOUR website![4 / (b + 1.5)] + [4 / (b - 1.5)] = 2 4b - 6 + 4b + 6 = 2 (b^2 - 2.25) 0 = b^2 - 4b - 2.25 use quadratic formula to find b miles and kts are NOT in the same units ___ this solution does not contain a correction for the difference
 Probability-and-statistics/269008: the depth of fluid,H cm, in a vessel at time t minutes is given by H = 16+4t+2t^2-(t^3/16) determine the rate at which the depth is changing after 4 minutes. if the cross section of the vessel is circular,of diameter 2 m, determine the rate of filling in m3 min-1,at this time.1 solutions Answer 197258 by scott8148(6628)   on 2010-02-13 09:38:44 (Show Source): You can put this solution on YOUR website!this is a differential calculus problem using the first derivative of depth with respect to time dH/dt = 4 + 4t - (3/16)t^2 substituting 4 for t gives a rate of 17 cm/min the volume rate is ___ .17 pi m^3/min
 Travel_Word_Problems/269070: Write the equation of each line. Give the answer in standard form using only integers as the coefficients. The line through (3, 4) that is parallel to the line 5x + 3y = 9.1 solutions Answer 197209 by scott8148(6628)   on 2010-02-12 22:07:19 (Show Source): You can put this solution on YOUR website!parallel means same slope ___ so the x and y coefficients are the same the constant term changes ___ just substitute the given coordinates to find the new term 5(3) + 3(4) = 27 5x + 3y = 27
 Travel_Word_Problems/268577: Jim can fill a pool carrying buckets of water in 30 minutes. Sue can do the same job in 45 minutes. Tony can do the same job in 1 ½ hours. How quickly can all three fill the pool together? (answer in minutes) Please show steps1 solutions Answer 196815 by scott8148(6628)   on 2010-02-11 16:18:04 (Show Source): You can put this solution on YOUR website!they each fill a FRACTION of the pool, based on their individual rates ___ the fractions sum to one -- the WHOLE pool (x / 30) + (x / 45) + (x / 90) = 1 multiplying by 90 (LCD) ___ 3x + 2x + x = 90 6x = 90 ___ x = 15
 Travel_Word_Problems/268553: The President of a company traveled 1600 miles by jet and 400 miles on a prop plane. The rate of the jet is four times the rate of the prop plane. The entire trip took 10 hours. Find the rate of the jet plane. ___mph I tried 1600/4x+ 400/x = 10 hours and my answers was 160 mph which apparently is wrong How would I set this up to get the correct answer. I am an online student and this answer is due by 10 p.m. 2-11-20101 solutions Answer 196810 by scott8148(6628)   on 2010-02-11 16:11:24 (Show Source): You can put this solution on YOUR website!x is the prop rate your equation is fine multiplying by 4x ___ 1600 + 4(400) = 10(4x) 3200 = 40x ___ x = 80 4x (jet rate) = 320