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# Recent problems solved by 'Alan3354'

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 t e s t/681918: In the sequence, 1 3 5 7 9 11 13 15 17 19 21 23 25 27 29 when we add any three numbers we have to get the answer 30..1 solutions Answer 422860 by Alan3354(30993)   on 2012-11-17 12:43:57 (Show Source): You can put this solution on YOUR website!In the sequence, 1 3 5 7 9 11 13 15 17 19 21 23 25 27 29 when we add any three numbers we have to get the answer 30.. -------------- The sum of 3 odd numbers is an odd number, can't be 30.
 Surface-area/681892: The area of a square is 83 cm2. Find the length of a side to the nearest hundredth.1 solutions Answer 422856 by Alan3354(30993)   on 2012-11-17 11:19:18 (Show Source): You can put this solution on YOUR website!The area of a square is 83 cm2. Find the length of a side to the nearest hundredth. ----------- cm
 Radicals/681910: square root of x divided by the cube root of x1 solutions Answer 422854 by Alan3354(30993)   on 2012-11-17 10:45:43 (Show Source): You can put this solution on YOUR website!square root of x divided by the cube root of x -------------- You didn't say what you want to do. ---- = =
 Triangles/681872: A piece of land with an area of 2400 sq.m is in the shape of a right triangle with the hypotenuse 100m long. Find the two legs.1 solutions Answer 422853 by Alan3354(30993)   on 2012-11-17 10:43:06 (Show Source): You can put this solution on YOUR website!A piece of land with an area of 2400 sq.m is in the shape of a right triangle with the hypotenuse 100m long. Find the two legs. ------------------ a*b/2 = 2400 --> a = 4800/b Sub for a sub x for b^2 (x - 3600)*(x - 6400) = 0 x = 3600, 6400 --> b = 60, 80 Legs are 60 & 80 meters
 �t�e�s�t/681889: A pendulum swings through an angle of 20 degrees each second. The tip moves 5 inches each second. How long is the pendulum ? State your answer correct to one decimal place.1 solutions Answer 422852 by Alan3354(30993)   on 2012-11-17 10:36:41 (Show Source): You can put this solution on YOUR website!A pendulum swings through an angle of 20 degrees each second. The tip moves 5 inches each second. How long is the pendulum ? State your answer correct to one decimal place. --------------- radians r = arc/angle = 5/(pi/9) = 45/pi inches r =~ 14.3 inches
 Proportions/681898: Please help me with the following proportion....x+1 over x-1 = 14 over 20 Thankyou1 solutions Answer 422851 by Alan3354(30993)   on 2012-11-17 10:34:08 (Show Source): You can put this solution on YOUR website!x+1 over x-1 = 14 over 20 ------------- Cross multiply 20(x+1) = 14(x-1) etc
 �t�e�s�t/681895: tan(π/3) + cos (π/4) exact value ?1 solutions Answer 422850 by Alan3354(30993)   on 2012-11-17 10:32:41 (Show Source): You can put this solution on YOUR website!tan(π/3) + cos (π/4) exact value ? -------------------- =
 Average/681905: Hi If I have a 92 in Social Studies and we have had four tests so far, and on my 5th and 6th test I make an 80 on both, what is my grade? Thank You for your time and help.1 solutions Answer 422849 by Alan3354(30993)   on 2012-11-17 10:30:55 (Show Source): You can put this solution on YOUR website!If I have a 92 in Social Studies and we have had four tests so far, and on my 5th and 6th test I make an 80 on both, what is my grade? G = (92 + 92 + 92 + 92 + 80 + 80)/6
 �t�e�s�t/681906: A radioactive isotope decays at a rate that is modeled by the following formula. A(t) = 30e^ -.001t 1. How much material was present initally ? 2. How much will be present in 2000 years ? 1 solutions Answer 422846 by Alan3354(30993)   on 2012-11-17 10:17:33 (Show Source): You can put this solution on YOUR website!A radioactive isotope decays at a rate that is modeled by the following formula. A(t) = 30e^ -.001t 1. How much material was present initally ? ----------- 2. How much will be present in 2000 years ?
 Linear-equations/681904: A mountaineer needs 5 hours to go over a mountain. The length of the path is 15km. His uphill speed is 1.5km/h, where his downhill speed is 4km/h. How much time does he need to finish the uphill and downhill path respectively?1 solutions Answer 422845 by Alan3354(30993)   on 2012-11-17 10:15:14 (Show Source): You can put this solution on YOUR website!A mountaineer needs 5 hours to go over a mountain. The length of the path is 15km. His uphill speed is 1.5km/h, where his downhill speed is 4km/h. How much time does he need to finish the uphill and downhill path respectively? ------------ d = r*t t = d/r 15 km/1.5 km/hr = 10 hours Not gonna do in 5 hours.
 �t�e�s�t/681897: Suppose θ measures (4π/5) radians. Determine the exact measure of θ in degrees. (no decimals please !) Thanks 1 solutions Answer 422844 by Alan3354(30993)   on 2012-11-17 10:11:43 (Show Source):
 Linear-systems/681908: When I tried to solve the sample problem my answer was wrong 2x-1y=9 5x+5y=0 this is what I did 2x-1y=9 5x+5y=0 7x+4y=9 for substitution?1 solutions Answer 422843 by Alan3354(30993)   on 2012-11-17 10:08:33 (Show Source): You can put this solution on YOUR website!When I tried to solve the sample problem my answer was wrong 2x-1y=9 5x+5y=0 this is what I did 2x-1y=9 5x+5y=0 7x+4y=9 for substitution? ----------- Using substition: 2x-1y=9 5x+5y=0 --> y = -x Sub for y in the 1st eqn 2x - (-x) = 9 3x = 9 x = 3 y = -3 ========== Using elimination: 2x-1y=9 5x+5y=0 --> x + y = 0 ------ 2x- y = 9 x + y = 0 ------------- Add 3x = 9 etc.
 Exponential-and-logarithmic-functions/681896: Use the graph of y = e^x to evaluate e^1.6 to four decimal places1 solutions Answer 422841 by Alan3354(30993)   on 2012-11-17 09:09:17 (Show Source): You can put this solution on YOUR website!Use the graph of y = e^x to evaluate e^1.6 to four decimal places ------------- It's 4.953 I don't think I can read my graph to that many digits, tho.
 Mixture_Word_Problems/681860: find derivative of (t^2/3)/(3t-5).1 solutions Answer 422837 by Alan3354(30993)   on 2012-11-17 08:38:18 (Show Source): You can put this solution on YOUR website!find derivative of (t^2/3)/(3t-5) ---- Is it ? Or ? --------- I think the latter. f'(t) = = ============== =
 Polynomials-and-rational-expressions/681878: A rectangular swimming pool has an area of 18x^2 + 33x - 40. Find an expression for the perimeter of this pool.1 solutions Answer 422836 by Alan3354(30993)   on 2012-11-17 08:35:35 (Show Source): You can put this solution on YOUR website!A rectangular swimming pool has an area of 18x^2 + 33x - 40. Find an expression for the perimeter of this pool. ------------------ It might be 18x^2 + 33x - 40 by 1, making the perimeter ------------- You're probably expected to factor that tho. --> P = 18x + 6
 Numbers_Word_Problems/681875: what is the sum of 620 and 1?1 solutions Answer 422832 by Alan3354(30993)   on 2012-11-17 07:52:03 (Show Source): You can put this solution on YOUR website!621
 Polynomials-and-rational-expressions/681829: I need help desperately! Rewrite with positive exponents. x^-1/81 solutions Answer 422831 by Alan3354(30993)   on 2012-11-17 07:51:29 (Show Source): You can put this solution on YOUR website!Rewrite with positive exponents. x^-1/8 ---------- = Multiply NUM and DEN by x^1/8 = =
 Travel_Word_Problems/681744: if a train is going at two hundred and fifty miles per hour and it travels nine hundred fifty miles. how long is the journey? 1 solutions Answer 422816 by Alan3354(30993)   on 2012-11-16 22:32:41 (Show Source): You can put this solution on YOUR website!if a train is going at two hundred and fifty miles per hour and it travels nine hundred fifty miles. how long is the journey? ------------------ 950 miles, as stated.
 Numbers_Word_Problems/681791: There are 256 pages in a book. How many digits are used to number the pages, starting from 1?1 solutions Answer 422811 by Alan3354(30993)   on 2012-11-16 22:08:49 (Show Source): You can put this solution on YOUR website!There are 256 pages in a book. How many digits are used to number the pages, starting from 1? ----------- 1 to 9 --> 9 digits 10 to 99 = 2*90 = 180 digits 100 to 256 = 157*3 = 471 digits 660 digits
 Radicals/681800: I'm trying to prove that 1 solutions Answer 422808 by Alan3354(30993)   on 2012-11-16 21:59:17 (Show Source): You can put this solution on YOUR website! Multiply by sqrt(1 + 0.5sqrt(3)) square both sides QED
 Systems-of-equations/681730: How would you find the inverse of one to one function f(x)=9x/x-8? I have worked it down to xy-8x=9y but not sure what the next step would be... f(x)= 9x/x-8 y= 9x/x-8 x= 9y/y-8 x(y-8)= 9y xy-8x= 9y1 solutions Answer 422765 by Alan3354(30993)   on 2012-11-16 17:56:02 (Show Source): You can put this solution on YOUR website!How would you find the inverse of one to one function f(x)=9x/x-8? I have worked it down to xy-8x=9y but not sure what the next step would be... f(x)= 9x/x-8 y= 9x/x-8 x= 9y/y-8 x(y-8)= 9y xy-8x= 9y ============ xy - 9y = 8x y*(x-9) = 8x x = 8x/(x-9)
 real-numbers/681706: lately I have not been to hot on my math tests...One problem i had was.. 5(x-1)= 3(x+3) What I tried: i changed it to 5x-5 = 3x+9 here is where i messed up:i again changed it to 8x-5=9 I thought that I was supposed to combine like terms. Can you please show me the next step in the equation and what the answere should be so I understand?1 solutions Answer 422753 by Alan3354(30993)   on 2012-11-16 16:52:35 (Show Source): You can put this solution on YOUR website!lately I have not been to hot on my math tests...One problem i had was.. 5(x-1)= 3(x+3) What I tried: i changed it to 5x-5 = 3x+9 here is where i messed up:i again changed it to 8x-5=9 I thought that I was supposed to combine like terms. Can you please show me the next step in the equation and what the answere should be so I understand? ===================== 5x-5 = 3x+9 Do the same thing to both sides. Subtract 3x 2x - 5 = 9 Add 5 2x = 14 Divide by 2 x = 7
Equations/681678: Can you please show me how to solve the following equation. We are not solving for x, but for all solutions.
x/x-1+8/x=10/4
1 solutions

Answer 422752 by Alan3354(30993)   on 2012-11-16 16:50:12 (Show Source):
You can put this solution on YOUR website!
Can you please show me how to solve the following equation. We are not solving for x, but for all solutions.
-------
x is the only variable, the only thing to solve for.
----------
x/(x-1) + 8/x = 10/4 = 5/2
Mutliply by 2x(x-1)
2x*x + 8*2*(x-1) = 5x*(x-1)

 Solved by pluggable solver: SOLVE quadratic equation (work shown, graph etc) Quadratic equation (in our case ) has the following solutons: For these solutions to exist, the discriminant should not be a negative number. First, we need to compute the discriminant : . Discriminant d=249 is greater than zero. That means that there are two solutions: . Quadratic expression can be factored: Again, the answer is: 6.12995563967658, 0.870044360323417. Here's your graph:

 Quadratic_Equations/681701: The discriminant of 3x^2 - 2x - 1 = 0 is? 1 solutions Answer 422751 by Alan3354(30993)   on 2012-11-16 16:44:35 (Show Source): You can put this solution on YOUR website!The discriminant of 3x^2 - 2x - 1 = 0 is? ------- a = 3 b = -2 c = -1 ---- Disc = b^2 - 4ac
 Polynomials-and-rational-expressions/681698: Solve N = fw/f+w for w. the solution is w = ____. can you please help with this? Thanks!1 solutions Answer 422750 by Alan3354(30993)   on 2012-11-16 16:43:33 (Show Source): You can put this solution on YOUR website!Solve N = fw/f+w for w ========= N*(f+w) = fw Nf + Nw = fw Nf = fw - Nw = w*(f-N) w*(f-N) = Nf w = Nf/(f-N)
 Geometry_Word_Problems/681674: On a scale drawing of a park, the sand box is 2 inches wide. The actual sand box is 8 feet wide. What is the scale of the drawing? (1 point)1 in. = 4 ft 1 in. = 6 ft 4 in. = 1 ft 4 in. = 6 ft 1 solutions Answer 422744 by Alan3354(30993)   on 2012-11-16 15:45:38 (Show Source): You can put this solution on YOUR website!On a scale drawing of a park, the sand box is 2 inches wide. The actual sand box is 8 feet wide. What is the scale of the drawing? ------------- If 2 in = 8 ft, then 1 in = 4 ft
 Rational-functions/681638: y=x-3 a soulution1 solutions Answer 422742 by Alan3354(30993)   on 2012-11-16 15:28:25 (Show Source): You can put this solution on YOUR website!y=x-3 a soulution -------- x = 0, y = -3 --> (0,-3)
 Travel_Word_Problems/681663: A man rows a boat 240 feet upstream against a constant current in 8 minutes. He then rows 200 feet downstream (with the same current) in 4 minutes. Find the speed of the current and the equivalent rate at which he can row in still water. 1 solutions Answer 422741 by Alan3354(30993)   on 2012-11-16 15:22:18 (Show Source): You can put this solution on YOUR website!A man rows a boat 240 feet upstream against a constant current in 8 minutes. He then rows 200 feet downstream (with the same current) in 4 minutes. Find the speed of the current and the equivalent rate at which he can row in still water. ============= Find the 2 speeds. His rowing speed is the average. The current is the difference between either speed and the average.
 Problems-with-consecutive-odd-even-integers/681677: A triangle has sides whose measures are consecutive integers.If the perimeter is 96 inches,then find the measure of each side.the length of the smallest side is(?)inches?1 solutions Answer 422740 by Alan3354(30993)   on 2012-11-16 15:20:08 (Show Source): You can put this solution on YOUR website!A triangle has sides whose measures are consecutive integers.If the perimeter is 96 inches,then find the measure of each side.the length of the smallest side is(?)inches? -------------- 96/3 = 32, the middle length
 logarithm/681658: Write y=900(6)^x in terms of base e 1 solutions Answer 422739 by Alan3354(30993)   on 2012-11-16 15:15:26 (Show Source): You can put this solution on YOUR website!Write y=900(6)^x in terms of base e
 logarithm/681673: 2 log base 5 x + 3 log base 5 (x-2). My instructor said the answer is log 32.5/log square root of 2. I understand where he got the log square root of 2 but don't understand the log 32.5. I wasn't sure if I wrote his review problem down correctly. Thanks1 solutions Answer 422738 by Alan3354(30993)   on 2012-11-16 15:06:11 (Show Source): You can put this solution on YOUR website!2 log base 5 x + 3 log base 5 (x-2) ---------- = log(x^2) + log(x-2)^3) = log(x^2*(x-2)^3}}} All logs base 5