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# Recent problems solved by 'Alan3354'

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 Travel_Word_Problems/403395: Lois Lane leaves Metropolis driving 50 MPH. Three hours later, Superman leaves the city to catch her. If he is flying at 300 MPH, how long will it take for him to catch up with lois?1 solutions Answer 285304 by Alan3354(30971)   on 2011-02-02 15:58:10 (Show Source): You can put this solution on YOUR website!Lois Lane leaves Metropolis driving 50 MPH. Three hours later, Superman leaves the city to catch her. If he is flying at 300 MPH, how long will it take for him to catch up with lois? ----------------- She's 150 miles away (50*3) He gains on her at 250 mph (300 - 50) 150 mi/250 mph = 0.6 hours -------------------------- *** He gains on her at 250 mph (300 - 50) is more accurately stated, "His speed relative to LL is 250 mph."
 Inequalities/403400: there are less than 12 hours of daylight each day in winter 1 solutions Answer 285301 by Alan3354(30971)   on 2011-02-02 15:49:09 (Show Source): You can put this solution on YOUR website!Except on the equator.
 Money_Word_Problems/403466: Take a penny and double it 64 times. How much do you have?1 solutions Answer 285299 by Alan3354(30971)   on 2011-02-02 15:33:37 (Show Source): You can put this solution on YOUR website!If you mean double and keep all the pennies, 1+2+4+8 etc, = 2^65 - 1 pennies If you mean the amount doubled 64 times, that's 2^64 pennies ------------ 2^64 pennies =~ \$18,446,744,070,000,000,000.00 2^65 is about 2x that amount. -------------- Looking again, that's the number of pennies, not dollars. Divide by 100.
 Sequences-and-series/403470: what is the next term in the sequence below? 1, 8, 27, 64.....1 solutions Answer 285296 by Alan3354(30971)   on 2011-02-02 15:28:18 (Show Source): You can put this solution on YOUR website!There are many possibilities, but the simplest is 125 ------------ The series is the cubes of 1, 2, 3, 4, 5
 Linear-equations/403464: I am looking for the answer to the following problem. Please show all the steps. My mom and I are fueding over how to do this one!! lol!! 4/3r - 3 < r + 2/3 - 1/3r1 solutions Answer 285291 by Alan3354(30971)   on 2011-02-02 15:22:23 (Show Source): You can put this solution on YOUR website!4/3r - 3 < r + 2/3 - 1/3r ------------- Assuming by 4/3r you mean (4/3)r and not 4/(3r): 4/3r - 3 < r + 2/3 - 1/3r Add 3 4/3r < r + 11/3 - 1/3r 4r/3 < 2r/3 + 11/3 Subtract 2r/3 2r/3 < 11/3 Multiply by 3 2r < 11 r < 5.5
 Equations/403306: A chemist needs 130 milliliters of a 31% solution but has only 17% and 43% solutions availble. Find how many millimiters of each that should be mixed to get the desired solution.1 solutions Answer 285205 by Alan3354(30971)   on 2011-02-02 11:08:55 (Show Source): You can put this solution on YOUR website! A chemist needs 130 milliliters of a 31% solution but has only 17% and 43% solutions availble. Find how many millimiters of each that should be mixed to get the desired solution. ------------------------ f = amount of 43% s = amount of 17% --------------- f + s = 130 (total solution) 0.43f + 0.17s = 130*0.31 (total of what's in the solution) ------------- 43f + 17s = 4030 s = 130 - f ------------- 43f + 17(130-f) = 4030 26f = 1820 f = 70 ml s = 60 ml
 Miscellaneous_Word_Problems/403300: Factor: #14.) a^4(to the fourth)-196 #19.) 400-u^2v^4 ASAP!!1 solutions Answer 285203 by Alan3354(30971)   on 2011-02-02 10:59:51 (Show Source): You can put this solution on YOUR website!Factor: #14.) a^4(to the fourth)-196 It's the difference of 2 squares. The factors are the sum and difference of the 2 squared elements. ----------------------- = = ------------------------------ #19.) 400-u^2v^4 Same as above.
 Average/403299: How do you average two test scores together? What would the average of a test that you got an 85% on and a test you got a 45% on?1 solutions Answer 285199 by Alan3354(30971)   on 2011-02-02 10:52:38 (Show Source): You can put this solution on YOUR website!Add the scores, divide by the number of scores. (85 + 45)/2 = 65%
 Equations/403295: I am stuck on a problem. I need to find the value of 'x' and simplify. I've tried 3 different ways to do it and none are coming out right, (according the the back of the book). The equation is: 2(5x-3)-(2x-4)=5-(6x+1) please help!!!1 solutions Answer 285196 by Alan3354(30971)   on 2011-02-02 10:42:59 (Show Source): You can put this solution on YOUR website!2(5x-3)-(2x-4)=5-(6x+1) 10x-6 -2x+4 = 5 -6x-1 8x - 2 = 4 - 6x 14x = 6 x = 3/7
 Rectangles/403243: how long is the side of the square if its area is 3 times the area of a square whose side is 5 cm?1 solutions Answer 285192 by Alan3354(30971)   on 2011-02-02 10:26:38 (Show Source): You can put this solution on YOUR website!Area = 3*25 = 75 s =~ 8.66 cm
 Triangles/403259: Which of the following os closest to the area of the shaded region? the figure is not drawn to scale. Use 3.14. The sides of the right triangle are given. (6cm, 10cm ,8cm) The radius of the circle is 2cm1 solutions Answer 285189 by Alan3354(30971)   on 2011-02-02 10:17:56 (Show Source): You can put this solution on YOUR website!No shaded region is shown.
 Travel_Word_Problems/403251: A car can be stopped from initial velocity 84 km/h to rest in 55 meters. Assuming constant acceleration, find the stopping time. is it 4.72 seconds?1 solutions Answer 285188 by Alan3354(30971)   on 2011-02-02 10:08:57 (Show Source): You can put this solution on YOUR website!A car can be stopped from initial velocity 84 km/h to rest in 55 meters. Assuming constant acceleration, find the stopping time. is it 4.72 seconds? --------------- Its average speed during the acceleration = 42 km/hr 42 km/hr = 42000/3600 m/sed = 35/3 m/sec -------------- 55 m/(35/3) m/sec =~ 4.714 seconds
 Equations/403284: The sum of two numbers is 36 and their difference is 6. Find the larger of the two numbers. Please help1 solutions Answer 285186 by Alan3354(30971)   on 2011-02-02 10:03:14 (Show Source): You can put this solution on YOUR website!36/2 = 18 6/2 = 3 ------- 18 ± 3 = 15 & 21
 Polygons/403280: What is the perimeter of a regular pentagon with 8 cm sides?1 solutions Answer 285184 by Alan3354(30971)   on 2011-02-02 10:00:22 (Show Source): You can put this solution on YOUR website!5*8 = 40 cm
 Coordinate-system/403267: Show that the points R (-1 , 2), K (5 , 2) and O (2 , 5) are the vertices of an isosceles triangle. Find the area of triangle RKO. :) =) 1 solutions Answer 285170 by Alan3354(30971)   on 2011-02-02 08:58:07 (Show Source): You can put this solution on YOUR website!Show that the points R (-1,2), K (5,2) and O (2,5) are the vertices of an isosceles triangle. ------------------- Find the lengths of RO and KO For RO: For KO: They're the same length --> isoceles. The length of KR = 6 --> not equilateral. --------------------- --------------------- Find the area of triangle RKO. ---------------- Write the points in columns, repeating the 1st point R K O R -1 5 2 -1 +2 2 5 +2 ---------- Add the diagonal products from upper left: (-1*2) + 5*5 + 2*2 = 27 Add the diagonal products from lower left: 2*5 + 2*2 + 5*(-1) = 9 ------------------ The area = 1/2 the difference Area = (1/2)*(27-9) = 9 sq units
 Graphs/403156: x2 + y2 = 8 x - y = 0 find the solutions to the system 1 solutions Answer 285106 by Alan3354(30971)   on 2011-02-01 21:58:14 (Show Source): You can put this solution on YOUR website!x = y = ± 2
 Polygons/403149: how do you find the number of sides of a polygon if the interior angles measure 140 degrees1 solutions Answer 285098 by Alan3354(30971)   on 2011-02-01 21:45:11 (Show Source): You can put this solution on YOUR website!The exterior angles are 40º (180 - 140) The sum of ext angles of ALL polygons = 360º 360/40 = 9 sides
 Equations/403041: Solve. (7+u)(3u-1)=0 (If there is more than one solution, separate them with commas.) 1 solutions Answer 285042 by Alan3354(30971)   on 2011-02-01 19:34:01 (Show Source): You can put this solution on YOUR website!(7+u)(3u-1)=0 ----------- For the product to be zero, one of the factors has to be zero. 7+u = 0 u = -7 ------ 3u-1 = 0 u = 1/3
 percentage/402990: If my teacher was 225 pounds now he is 289 pounds. How much has he increased in weight?1 solutions Answer 285015 by Alan3354(30971)   on 2011-02-01 18:06:35 (Show Source): You can put this solution on YOUR website!64 pounds
 Numbers_Word_Problems/402980: Two numbers have a difference of 6. Their product is 775. What are the two numbers?1 solutions Answer 285010 by Alan3354(30971)   on 2011-02-01 17:53:03 (Show Source): You can put this solution on YOUR website!25 & 31
 Volume/402943: how many gallons of water does it take to fill a 30 inch by 50 foot cylinder 1 solutions Answer 285008 by Alan3354(30971)   on 2011-02-01 17:52:34 (Show Source): You can put this solution on YOUR website!Is 30 the radius, diameter, or length?
 Equations/402966: I am trying to write an algebraic expreession for the following: 5 less than 2/3 of a number is 3.1 solutions Answer 284998 by Alan3354(30971)   on 2011-02-01 17:30:41 (Show Source): You can put this solution on YOUR website!n = a number (2/3)n - 5 = 3
 Travel_Word_Problems/402960: brent takes a trip in his car. he covers the first 30 miles in one-half hour and the last 50 miles in one hour. find his average speed in m/h? 1 solutions Answer 284996 by Alan3354(30971)   on 2011-02-01 17:27:01 (Show Source): You can put this solution on YOUR website!brent takes a trip in his car. he covers the first 30 miles in one-half hour and the last 50 miles in one hour. find his average speed in m/h? ----------- He goes 80 miles in 1.5 hours 80 mi/1.5 hr = 53 1/3 mph
 Travel_Word_Problems/402967: a car travels at 60 miles per hour. At this rate how many miles can the car travel in 45 minutes?1 solutions Answer 284995 by Alan3354(30971)   on 2011-02-01 17:25:19 (Show Source): You can put this solution on YOUR website!60 mph = 1 mile per minute --> 45 miles
 Divisibility_and_Prime_Numbers/402812: what is the prime factorization of 751 solutions Answer 284936 by Alan3354(30971)   on 2011-02-01 13:31:51 (Show Source): You can put this solution on YOUR website!3*5*5
 Quadratic_Equations/402830: Can you please tell me how this problem gets solved? I'd like to see the steps from the problem to the answer 100x(to 3rd degree)and it's all in a square root sign the answer is 10x(square root x) I'm not sure how to arrive at the answer, I understand that 10 is the square root of 100, but what happens with the x's? Thank you so much! L1 solutions Answer 284931 by Alan3354(30971)   on 2011-02-01 13:26:31 (Show Source): You can put this solution on YOUR website! = =
 Linear-systems/402828: May you help me with this problem: g-10h=43 18=-g+5h The instructions are to use linear combinations to solve the linear system. Then check your solution. Thank you for time.1 solutions Answer 284930 by Alan3354(30971)   on 2011-02-01 13:21:52 (Show Source): You can put this solution on YOUR website!Do it like this one. ------------ 3j+5k=19 j-2k=-1 ------------ Multiply the 2nd eqn by 3 to make the coefficients equal 3j+5k=19 3j-6k=-3 ---------- Subtract -k = 22 k = 22 ------- j - 2k = -1 j -44 = -1 j = 43
 Linear-systems/402827: May you help me with this problem: 2q=7-5p 4p-16=q The instructions are to use linear combinations to solve the linear system. Then check your solution. Thank you for time.1 solutions Answer 284929 by Alan3354(30971)   on 2011-02-01 13:21:21 (Show Source): You can put this solution on YOUR website!Do it like this one. ------------ 3j+5k=19 j-2k=-1 ------------ Multiply the 2nd eqn by 3 to make the coefficients equal 3j+5k=19 3j-6k=-3 ---------- Subtract -k = 22 k = 22 ------- j - 2k = -1 j -44 = -1 j = 43
 Surface-area/402806: a square has a permeter of 36 cm find the length of ech side1 solutions Answer 284928 by Alan3354(30971)   on 2011-02-01 13:18:54 (Show Source): You can put this solution on YOUR website!Divide 36 by the number of sides.
 Linear-systems/402799: May you please help me with this problem: 5e+4f=9 4e+5f=9 The instructions are to use linear combinations to solve the linear system. Then check your solution. Thank you for your time. 1 solutions Answer 284927 by Alan3354(30971)   on 2011-02-01 13:16:54 (Show Source): You can put this solution on YOUR website!Do it like this one. ------------ 3j+5k=19 j-2k=-1 ------------ Multiply the 2nd eqn by 3 to make the coefficients equal 3j+5k=19 3j-6k=-3 ---------- Subtract -k = 22 k = 22 ------- j - 2k = -1 j -44 = -1 j = 43
 Linear-systems/402815: May you help me with this problem: 2v=150-u 2u=150-v The instructions are to use linear combinations to solve the linear system. Then check your solution. Thank you for time.1 solutions Answer 284926 by Alan3354(30971)   on 2011-02-01 13:15:49 (Show Source): You can put this solution on YOUR website!Do it like this one. ------------ 3j+5k=19 j-2k=-1 ------------ Multiply the 2nd eqn by 3 to make the coefficients equal 3j+5k=19 3j-6k=-3 ---------- Subtract -k = 22 k = 22 ------- j - 2k = -1 j -44 = -1 j = 43