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# Recent problems solved by 'Alan3354'

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 Mixture_Word_Problems/419154: How many liters of a 50% acid solution must be added to 80 liters of 30% solution to obtain a 40%solution?1 solutions Answer 293188 by Alan3354(31518)   on 2011-03-08 09:37:00 (Show Source): You can put this solution on YOUR website!40% is the average of 50% and 30%, so it's equal amounts.
 Square-cubic-other-roots/419022: 3rd square root of 2501 solutions Answer 293100 by Alan3354(31518)   on 2011-03-07 21:33:15 (Show Source): You can put this solution on YOUR website!There are only 2 square roots of 250, there's no 3rd square root. If you mean the cube root, ----------- That's the approximate principal cube root. There are 2 others.
 Coordinate-system/418799: when not given the coordinates iam not sure how to find the slope1 solutions Answer 293018 by Alan3354(31518)   on 2011-03-07 16:21:29 (Show Source): You can put this solution on YOUR website!What are you given?
 Problems-with-consecutive-odd-even-integers/418783: the numbers are consecutive integers.six times the smaller integer.find the integers.1 solutions Answer 293017 by Alan3354(31518)   on 2011-03-07 16:19:54 (Show Source): You can put this solution on YOUR website!the numbers are consecutive integers.six times the smaller integer.find the integers. --------------------- Pick any 2. 7 & 8. 6*7 = 42 ---------------- 41 & 42. 6*41 = 246
 Exponential-and-logarithmic-functions/418772: What rate of interest compounded annually is required to triple an investment in 10 years?1 solutions Answer 292997 by Alan3354(31518)   on 2011-03-07 15:32:12 (Show Source): You can put this solution on YOUR website!Do it like this one. -------------------- What rate of interest compounded annually is required to double an investment in 6 years? ---------------- 2A = A*(1 + r)^6 (1 + r)^6 = 2 1 + r =~ 1.1225 r =~ 12.25%
 Exponential-and-logarithmic-functions/418770: What rate of interest compounded annually is required to double an investment in 6 years?1 solutions Answer 292996 by Alan3354(31518)   on 2011-03-07 15:31:21 (Show Source): You can put this solution on YOUR website! What rate of interest compounded annually is required to double an investment in 6 years? ---------------- 2A = A*(1 + r)^6 (1 + r)^6 = 2 1 + r =~ 1.1225 r =~ 12.25%
 Exponential-and-logarithmic-functions/418769: Find the principal needed now to get each amount; that is, find the present value. To get \$800 after 2.5 years at 8% compounded continuously.1 solutions Answer 292994 by Alan3354(31518)   on 2011-03-07 15:26:53 (Show Source): You can put this solution on YOUR website!Find the principal needed now to get each amount; that is, find the present value. To get \$800 after 2.5 years at 8% compounded continuously. -------------- Amt =~ \$654.98
 Exponential-and-logarithmic-functions/418765: Find the amount that results from each investment. \$40 invested at 7% compounded continuously after a period of 3 years.1 solutions Answer 292993 by Alan3354(31518)   on 2011-03-07 15:23:34 (Show Source): You can put this solution on YOUR website!Find the amount that results from each investment. \$40 invested at 7% compounded continuously after a period of 3 years. ------------ = =~ \$49.35
 Equations/418739: 75x^2+30+3 factored and then put under a radicand1 solutions Answer 292988 by Alan3354(31518)   on 2011-03-07 15:06:36 (Show Source): You can put this solution on YOUR website!75x^2+30+3 factored and then put under a radicand = = -->
 Distributive-associative-commutative-properties/418710: I'm trying to figure how to solve 4x squared-36xy+18y squared? Im not sure how to factor this out. This is what I've come up with this far x(2x- )(2x- )1 solutions Answer 292986 by Alan3354(31518)   on 2011-03-07 15:01:09 (Show Source): You can put this solution on YOUR website!I'm trying to figure how to solve 4x squared-36xy+18y squared? Im not sure how to factor this out. This is what I've come up with this far x(2x- )(2x- ) --------------- First, you don't solve it, you just factor it. Equations are solved, this is not an equation since there's no equal sign. ------------------ Next, you can't factor out an x since the last term 18y^2 has no x in it. ------------------ = That's all that can be done. ---------------------
 Expressions-with-variables/418741: Could someone please help me to solve and show me how to do this equation? -8x-20=25 and 1/31 solutions Answer 292983 by Alan3354(31518)   on 2011-03-07 14:51:57 (Show Source): You can put this solution on YOUR website!-8x-20=25 and 1/3 -------------- There are several steps, and can be done in any order. -8x - 20 = 25 1/3 Add 20 to both sides -8x = 45 1/3 -8x = 136/3 Divide by 8 -x = 17/3 x = -17/3
 test/418728: How would I graph y=-2 sin 2x?1 solutions Answer 292980 by Alan3354(31518)   on 2011-03-07 14:35:00 (Show Source): You can put this solution on YOUR website!Pick values for x in either degrees or radians, and find the y values. Plot the points, draw a curve thru them. ----------- dl the FREE graph software at http://www.padowan.dk
 Evaluation_Word_Problems/418726: what would a graph look like for the problem g(x)1/x^2-91 solutions Answer 292973 by Alan3354(31518)   on 2011-03-07 14:09:24 (Show Source): You can put this solution on YOUR website!that's not clear
 Evaluation_Word_Problems/418725: what would a graph look like for the problem f(x)2/x-21 solutions Answer 292971 by Alan3354(31518)   on 2011-03-07 14:08:29 (Show Source): You can put this solution on YOUR website!It's not clear what that means, f(x)2/x-2
 Exponents/418720: if ((8^x)(9^2y))=81(2^12y) what does x equal? I have no idea where to start on this one. I had trouble writing this equation, if I were to read it I would say "if eight to the x times nine to the two y equals 81 times two to the 12 y, what does x equal? Thank you so much!1 solutions Answer 292970 by Alan3354(31518)   on 2011-03-07 14:06:16 (Show Source): You can put this solution on YOUR website! if ((8^x)(9^2y))=81(2^12y) what does x equal? ---------------- You can solve for x in terms of y. Some manipultion is possible, but "simplification" is sometimes a matter of opinion. All the logs of constants are constants, so it could be calculated to be a constant times y, x = Cy
 Linear_Equations_And_Systems_Word_Problems/418721: The ratio of men to women in a certain factory is 3 to 4. There are 210 men.How many workers are there?1 solutions Answer 292965 by Alan3354(31518)   on 2011-03-07 13:53:29 (Show Source): You can put this solution on YOUR website!3+4 = 7 210/7 = 30 --> 3*30 = 90 men 4*30 = 120 women
 Trigonometry-basics/418719: Prove the identity sec(theta)+tan(theta) ______________________(sec(theta)-tan(theta))=1 11 solutions Answer 292964 by Alan3354(31518)   on 2011-03-07 13:51:59 (Show Source): You can put this solution on YOUR website!Change it all to sines and cosines. Email me at moral loophole@aol.com for further assistance, if needed.
 test/418679: Sadiq buys a guitar for £150 and sells it for £210. Work out his percentage profit. --thankyou :) 1 solutions Answer 292950 by Alan3354(31518)   on 2011-03-07 12:21:48 (Show Source): You can put this solution on YOUR website!210 - 150 = 60 60/150 = 2/5 = 40%
 test/418678: The question is: work 100^0.5 ... I put 50, is this right? Thankyou :) 1 solutions Answer 292947 by Alan3354(31518)   on 2011-03-07 12:19:48 (Show Source): You can put this solution on YOUR website! = ± 10
 Rate-of-work-word-problems/418676: one pipe fills a tank in 8 minutes, another pipe can fill it in 12 minutes. find the time taken to fill the tank when both pipes are running together?1 solutions Answer 292946 by Alan3354(31518)   on 2011-03-07 12:18:42 (Show Source): You can put this solution on YOUR website!One pipe fills 1/8 of the tank per minute. The other fills 1/12 of the tank per minute. Together, they fill 1/8 + 1/12 per minute = 3/24 + 2/24 = 5/24 5/24 tank per minute --> 24/5 minutes per tank = 4.8 minutes ----------------- Use the shortcut, product/sum 8*12/(8+12) = 96/20 = 4.8 minutes
 Linear-equations/418677: Average rate of change... f(x)=6x from x1=0 x2=4 Would it be 6 because change is 6 all around? Is there a way to work this out other than just knowing that?1 solutions Answer 292945 by Alan3354(31518)   on 2011-03-07 12:15:38 (Show Source): You can put this solution on YOUR website!Since it's linear, the avg rate is the same as the instantaneous, = 6. ------------- To calculate it: f(0) = 0 f(4) = 24 diffy/diffx = (24 - 0)/(4 - 0) = 6
 Permutations/418040: I can't seem to figure this one out. It's a combination question I think. Here is the question, "A costruction supervisor needs a crew of 14 to do a job, and 15 people voluteered. How many 4- person crews can be chosen?" I hope you can help. Thank you1 solutions Answer 292637 by Alan3354(31518)   on 2011-03-06 08:36:52 (Show Source): You can put this solution on YOUR website!If he has 15, he can make 3 crews of 4 each with 3 left over. You sure that's the problem?
 Permutations/417856: I am hoping I can get some help with this problem be cause it just doesn't seem right to me. rounded to the 4th decimal C(5,5)/C(25,5) 1/53130=.0000 ???? Thanks, Dave1 solutions Answer 292482 by Alan3354(31518)   on 2011-03-05 15:23:59 (Show Source): You can put this solution on YOUR website!C(5,5)/C(25,5) 1/53130=.0000 ---------- =~ 0.000018821757 = 0.000001882 ----------------- Rounded to 4 places, or to 4 significant figures would make more sense.
 Exponential-and-logarithmic-functions/417540: can we get help on f(x)=(1/2)to the power(x+2)1 solutions Answer 292309 by Alan3354(31518)   on 2011-03-04 15:59:00 (Show Source): You can put this solution on YOUR website!What sort of help? What do you want to do?
 Linear-equations/417444: What is the equation of the line that passes through (4, -1) and (-2, 3)? Can you help me answer this? I keep getting y = -4/6x + ? and it has to be written in general form. 1 solutions Answer 292233 by Alan3354(31518)   on 2011-03-04 10:43:18 (Show Source): You can put this solution on YOUR website!What is the equation of the line that passes through (4, -1) and (-2, 3)? Can you help me answer this? I keep getting y = -4/6x + ? and it has to be written in general form. ------------------------- Find the slope, m m = diffy/diffx = (3 - (-1))/(-2 -4) = 4/-6 = -2/3 ---------- Use y = mx + b and either point to find b -1 = (-2/3)*4 + b b = -1 + 8/3 = 5/3 ------------- Then it's y = mx + b -------------------- The eqn is y = (-2/3)x + 5/3 Or 2x + 3y = 5
 logarithm/417422: log3 180 - log3 201 solutions Answer 292223 by Alan3354(31518)   on 2011-03-04 10:11:31 (Show Source): You can put this solution on YOUR website! = = 2
 Exponential-and-logarithmic-functions/417394: Hi I am studying for a test and can not figure out how to solve 9^(-3x)=7. Could you show me step by step how to solve it? Thank you!1 solutions Answer 292217 by Alan3354(31518)   on 2011-03-04 08:51:36 (Show Source): You can put this solution on YOUR website! -3x*log(9) = log(7) -3x = log(7)/log(9) x = -log(7)/(3*log(9)) x =~ -0.2952
 Exponents-negative-and-fractional/416960: (3 times 22) divided by 6 +[28-(4)^2]=1 solutions Answer 292009 by Alan3354(31518)   on 2011-03-03 14:38:10 (Show Source): You can put this solution on YOUR website!(3 times 22) divided by 6 +[28-(4)^2]= = 66/6 + [28-16] = 11 + 12 = 23
 Travel_Word_Problems/416937: If a car moves 75 feet in one second, what is its speed per hour?1 solutions Answer 292008 by Alan3354(31518)   on 2011-03-03 14:36:12 (Show Source): You can put this solution on YOUR website!75 ft/sec * 60 sec/min * 60 min/hr = 270000 ft/hr
 Radicals/416904: sqrt(x=7)=x-5 Can you please help me solve this showing the steps?1 solutions Answer 291998 by Alan3354(31518)   on 2011-03-03 14:11:41 (Show Source): You can put this solution on YOUR website!Too many equal signs. ---------------------- Square both sides, go from there.
 test/416896: Simplify (0.006 • 10^-10)(200 • 10^8) all over. ------------------------------- (0.0004)(30,000000) 1 solutions Answer 291995 by Alan3354(31518)   on 2011-03-03 14:08:10 (Show Source): You can put this solution on YOUR website!Simplify = = = or 1E-6 or 0.000001