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# Recent problems solved by 'Alan3354'

Alan3354 answered: 30973 problems
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 Graphs/532613: What is the value of the y variable in the solution to the following system of equations? 3x + y = 11 –3x + 2y = 1 1 solutions Answer 350881 by Alan3354(30993)   on 2011-11-16 11:10:21 (Show Source): You can put this solution on YOUR website! 3x + y = 11 –3x + 2y = 1 ------------- Add
 Travel_Word_Problems/532619: what is the distance traveled by a car traveling at a speed of 32m/s or 7200 s1 solutions Answer 350880 by Alan3354(30993)   on 2011-11-16 11:09:17 (Show Source): You can put this solution on YOUR website!d = r*t
 Geometry_Word_Problems/532559: The area of a playground is 204 yd^2. The width of the playground is 5 yd longer than its length. Find the length and width of the playground.1 solutions Answer 350866 by Alan3354(30993)   on 2011-11-16 08:40:46 (Show Source): You can put this solution on YOUR website!204 = 12*17
 Graphs/532539: complete the ordered pairs,(1,_) and (_,9) so they satisfy the equation y=-9x +18. this is what I have so far y=-9x+18 -9(1)+18 y=9 I substituted 18 for the y and came up with 18=-9x+18 and got zero, but zero is not an option in the homework. Can anyone show me what I did wrong?1 solutions Answer 350864 by Alan3354(30993)   on 2011-11-16 08:28:31 (Show Source): You can put this solution on YOUR website! complete the ordered pairs,(1,_) and (_,9) so they satisfy the equation y=-9x +18. this is what I have so far y=-9x+18 -9(1)+18 y=9 I substituted 18 for the y and came up with 18=-9x+18 and got zero, but zero is not an option in the homework. Can anyone show me what I did wrong? ------------- Sub as you did y = -9x + 18 9 = -9*1 + 18 9 = 9 so it's correct. ---------------- For (_,9) y = -9x + 18 9 = -9x + 18 x = 1 It's the same point.
 logarithm/532404: How do I plug a LOG problem that is not base 10? The question is Log7(1/49). I am using a TI30XA 1 solutions Answer 350838 by Alan3354(30993)   on 2011-11-15 22:29:14 (Show Source): You can put this solution on YOUR website!How do I plug a LOG problem that is not base 10? The question is Log7(1/49). ------------ One way is to use the base change formula, it always works. = -2 ---------- Another is to recognize that ------- Not sure what you mean my "plug."
 Travel_Word_Problems/532401: A boat can go downstream at the rate of 25 Kilometers per hour. It can return against the current at only 8 kilometers per hour. Find the rate of the current and the boat.1 solutions Answer 350837 by Alan3354(30993)   on 2011-11-15 22:26:18 (Show Source): You can put this solution on YOUR website!A boat can go downstream at the rate of 25 Kilometers per hour. It can return against the current at only 8 kilometers per hour. Find the rate of the current and the boat. ------------ The boat's speed is the average = (25 + 8)/2 = 16.5 km/hr The current is the difference = 25 - 16.5 = 8.5 km/hr
 test/532399: The sum of 3 numbers is 18. The sum of the first two numbers is 15. The first number is three times the size of the third number. What are the three numbers? X+y+z=181 solutions Answer 350836 by Alan3354(30993)   on 2011-11-15 22:24:45 (Show Source): You can put this solution on YOUR website!The sum of 3 numbers is 18. The sum of the first two numbers is 15. The first number is three times the size of the third number. What are the three numbers? X+y+z=18 x+y = 15 --> z = 3 --------- x = 3z x = 9 ---------- y = 6
 Trigonometry-basics/532400: Find the solutions of the equation that are in the interval [0, 2π). csc^5 theta = 4 csc theta I moved 4csc to the left side to get csc^5 theta - 4csc theta =0, then I factored out csc to get csc(csc^4 theta -4)=0. I don't know where to get from there or if I was on the right track. Also I don't know when csc = 0. :( Please help.1 solutions Answer 350835 by Alan3354(30993)   on 2011-11-15 22:22:18 (Show Source): You can put this solution on YOUR website!Find the solutions of the equation that are in the interval [0, 2π). csc^5 theta = 4 csc theta I moved 4csc to the left side to get csc^5 theta - 4csc theta =0, then I factored out csc to get csc(csc^4 theta -4)=0. I don't know where to get from there or if I was on the right track. Also I don't know when csc = 0. --------------- csc is never 0, ignore that. That leaves csc^4 = 4 sin^4 = 1/4 sin = +/- sqrt(2)/2 ----------- I doubt you want the complex solutions.
 Travel_Word_Problems/532376: Water traveling 15 miles an hour with a boat in it going 15 miles an hour by it's own motor power both traveling the same direction. How fast is the boat going relative to the shore?1 solutions Answer 350833 by Alan3354(30993)   on 2011-11-15 22:12:13 (Show Source): You can put this solution on YOUR website!Water traveling 15 miles an hour with a boat in it going 15 miles an hour by it's [sic] own motor power both traveling the same direction. How fast is the boat going relative to the shore? -------------- 15 + 15 = 30 mi/hr PS it's = it is
 Linear-equations/532290: (-5,2) x+4y=31 solutions Answer 350788 by Alan3354(30993)   on 2011-11-15 20:18:46 (Show Source): You can put this solution on YOUR website!Do you have a question?
 Trigonometry-basics/532298: A pulley of radius 12 cm turns at 7 rps. What is the linear velocity of the belt driving the pulley in meters per second? 1 solutions Answer 350787 by Alan3354(30993)   on 2011-11-15 20:17:51 (Show Source): You can put this solution on YOUR website!A pulley of radius 12 cm turns at 7 rps. What is the linear velocity of the belt driving the pulley in meters per second? ----------------- r = 12 cm = 0.12 meters Circum = 2*pi*r = 0.24pi meters vel = 0.24pi*7 = 1.68pi m/sec
 Rectangles/532196: the area of a rectangle is 60.29cm2; the length is 7.3cm . What is the width?1 solutions Answer 350725 by Alan3354(30993)   on 2011-11-15 18:55:28 (Show Source): You can put this solution on YOUR website!Area = L*W W = Area/L
 logarithm/532204: what is the solution set for log [base7] x =21 solutions Answer 350724 by Alan3354(30993)   on 2011-11-15 18:54:06 (Show Source): You can put this solution on YOUR website!what is the solution set for log [base7] x =2 ------- Remember that the log is the exponent. In exponent form, it's x = 49
 Travel_Word_Problems/532217: a bus trevels at a distance of 90 km in 2h and another 30 km in 1h. what is the average speed of the bus? 1 solutions Answer 350722 by Alan3354(30993)   on 2011-11-15 18:51:45 (Show Source): You can put this solution on YOUR website!Add the distances, and add the times. --------- d = r*t r = d/t
 Average/532213: I took a test , there was 124 questions on it . It said I got 94 correct , what did I make on this test ? 1 solutions Answer 350719 by Alan3354(30993)   on 2011-11-15 18:44:30 (Show Source): You can put this solution on YOUR website!It depends on the scoring method. If it's the # right, you got 94. If it's some other method, you'll have to specify.
 Problems-with-consecutive-odd-even-integers/532214: Find three consecutive integers such that the sum of the first and third is forty two.1 solutions Answer 350718 by Alan3354(30993)   on 2011-11-15 18:43:18 (Show Source): You can put this solution on YOUR website!42/2 = 21, the middle number
 Mixture_Word_Problems/532192: A 75 mL solution of acid in water contains 25% acid. How much water needs to be added in order to make a 5% acid solution?1 solutions Answer 350716 by Alan3354(30993)   on 2011-11-15 18:42:40 (Show Source): You can put this solution on YOUR website!A 75 mL solution of acid in water contains 25% acid. How much water needs to be added in order to make a 5% acid solution? ----------------- The acid is 75/4 ml = 18.75 ml of acid If 18.75 ml is 5%, the total solution is 18.75*20 = 375 ml 375 - 75 = 300 ml of water added. Was that hard?
 Travel_Word_Problems/532209: The formula is d=rt, where d is the distance traveled at a rate of r for time t, The question is how long it will take an airplane to travel 2000 miles if it flies 200 miles per hours, 400 miles per hour, and 600 miles per hour? 1 solutions Answer 350715 by Alan3354(30993)   on 2011-11-15 18:39:55 (Show Source): You can put this solution on YOUR website!It is d = r*t So t = d/r Go from there.
 Systems-of-equations/532210: Find the solution to the system by the addition (elimination) method. 12x-4y=-26 6x+6y=431 solutions Answer 350714 by Alan3354(30993)   on 2011-11-15 18:39:02 (Show Source): You can put this solution on YOUR website!Divide the 1st eqn by 2, then subtract.
 Travel_Word_Problems/532145: a runner can run 4 miles in 30 minutes what is there speed in mph?1 solutions Answer 350711 by Alan3354(30993)   on 2011-11-15 18:24:54 (Show Source): You can put this solution on YOUR website!a runner can run 4 miles in 30 minutes what is there speed in mph? ---------- There speed? Do you mean "their speed?" Their implies plural, you said "a runner" ???? ---------- Is English not your language? ------ 30 minutes = 0.5 hours d = r*t r = d/t
 Functions/532172: What is the function rule of (0,1) (1,3) (2,9) (3,27) (4,81)? Thanks sooo much! Btw, this is free right? 1 solutions Answer 350709 by Alan3354(30993)   on 2011-11-15 18:20:09 (Show Source): You can put this solution on YOUR website!It is free. Remember you don't get what you don't pay for.
 Trigonometry-basics/532153: Find all values of t in the interval [o,2π] satisfying sin(2t)=-1/2 1 solutions Answer 350708 by Alan3354(30993)   on 2011-11-15 18:18:49 (Show Source): You can put this solution on YOUR website!Find all values of t in the interval [o,2π] satisfying sin(2t)=-1/2 ----------- sin(2t) = -1/2 2t = 210, 330, 570, 690 t = 105, 165, 285, 345 degrees t = 7pi/12, 11pi/12, 19pi/12, 23pi/12 radians
 Volume/532191: What is the volume of a cube that is 4 cm, high,4 cm deep, and 4 cm wide1 solutions Answer 350706 by Alan3354(30993)   on 2011-11-15 18:14:31 (Show Source): You can put this solution on YOUR website!It's the product of its dimensions. Vol = L*W*H
 Travel_Word_Problems/532033: At what speed does a man walk if he cover 12kilometres in 3hrs?1 solutions Answer 350660 by Alan3354(30993)   on 2011-11-15 15:51:33 (Show Source): You can put this solution on YOUR website!d = r*t r = d/t
 Rectangles/531730: What would need to be the depth & height of a rectangular cube so that the inside volume would hold 125 liquid ounces?1 solutions Answer 350568 by Alan3354(30993)   on 2011-11-14 21:24:31 (Show Source): You can put this solution on YOUR website!A rectangular cube has 3 dimension. What volume is a liquid ounce?
 Travel_Word_Problems/531672: If a runner travels 2.5 miles in 15 minutes, how fast is he traveling in mph? ( Do not forget to convert minutes to hours in your calculation.)1 solutions Answer 350566 by Alan3354(30993)   on 2011-11-14 21:23:09 (Show Source): You can put this solution on YOUR website!15 mins = 0.25 hr ------- d = r*t r = d/t
 decimal-numbers/531714: Estimate by rounding to the nearest number:1,576-150. 1 solutions Answer 350562 by Alan3354(30993)   on 2011-11-14 21:19:54 (Show Source): You can put this solution on YOUR website!It's 1426, not an estimate.
 Travel_Word_Problems/531589: How many feet would I travel if I am launched from a hood of a truck at 60 mph1 solutions Answer 350514 by Alan3354(30993)   on 2011-11-14 18:48:52 (Show Source): You can put this solution on YOUR website!Not enough info.
 Equations/531586: how do you do 9=3y-1 21 solutions Answer 350511 by Alan3354(30993)   on 2011-11-14 18:45:22 (Show Source): You can put this solution on YOUR website!Depends on what you mean by "do."
 Equations/531521: How do i find K in the equation-28+3k=_28 1 solutions Answer 350509 by Alan3354(30993)   on 2011-11-14 18:44:48 (Show Source): You can put this solution on YOUR website!What does the underscore mean?
 Equations/531583: how do you do 9=3y-1 21 solutions Answer 350508 by Alan3354(30993)   on 2011-11-14 18:43:05 (Show Source): You can put this solution on YOUR website!Define "do"