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# Recent problems solved by 'Alan3354'

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 Mixture_Word_Problems/319752: I have tried to solve to AW=L and so on... the answer is 150L but I cant figure out the formula. The question is "How many liters of a 20% alcohol solution should Maria mix with 50 liters of a 60% alcohol solution to obtain a 30% solution?" the answer is 150L of the 20% solution. I think I'm doing too much. Ive figured out the following... If L = Liters LA = Liters of Alcohol LW = Liters of Whatever the 50 liter mix of the 60% solution = .012 to 1 if 60% of the solution = LA then 40% = LW. so(0.012LA)(50L)=0.6LA+0.4LW x 50= 50L? 20% of 1L = 0.2LA with 0.80LW I still dont understand where I'm going wrong... my assignment is due Tuesday... wow, I'm super confused. Please help me! 1 solutions Answer 229005 by Alan3354(30983)   on 2010-07-05 04:11:11 (Show Source): You can put this solution on YOUR website!How many liters of a 20% alcohol solution should Maria mix with 50 liters of a 60% alcohol solution to obtain a 30% solution? --------------------- Add x liters of 20% The total volume will be x + 50 0.2x + 0.6*50 = (x + 50)*0.3 is the amount of alcohol 0.2x + 30 = 0.3x + 15 x = 150 liters
 Geometry_Word_Problems/319498: My bicycle has a rear wheel whose diameter is 1.2 times as big as the diameter of the front wheel. As I ride my bicycle, if the front wheel turns 120 times, how many times the rear wheel will turn?1 solutions Answer 228973 by Alan3354(30983)   on 2010-07-04 21:44:31 (Show Source): You can put this solution on YOUR website!100 revolutions
 Points-lines-and-rays/319677: Use the distance formula to determine whether the points lie on the same line: (0,-4), (2,0), (3,2) (The only way I thought of doing this question is forming a right triangle with two of the points as the hypotenuse and plot the other point, but that really doesn't have so much to do with the distance formula. I have no idea how an equation made to house two points (which is what a line is, basically) can determine the presence of a third point given something as exclusive as distance, which would have to change anyway. But maybe that's just my way of thinking about it.)1 solutions Answer 228963 by Alan3354(30983)   on 2010-07-04 20:47:21 (Show Source): You can put this solution on YOUR website!Use the distance formula to determine whether the points lie on the same line: (0,-4), (2,0), (3,2) (The only way I thought of doing this question is forming a right triangle with two of the points as the hypotenuse and plot the other point, but that really doesn't have so much to do with the distance formula. I have no idea how an equation made to house two points (which is what a line is, basically) can determine the presence of a third point given something as exclusive as distance, which would have to change anyway. But maybe that's just my way of thinking about it.) ----------------------- I don't understand your approach, but I don't see how the distance formula would help, either. Label the points A, B & C for convenience. A(0,-4), B(2,0), C(3,2) Find the slope of AB and the slope of BC. If they're equal, and share the middle point, B, then they're colinear.
 Miscellaneous_Word_Problems/319696: A siren that has a normal frequency of 1500 hertz is approaching you at 80 mph. What is the pitch that you will hear? 1 solutions Answer 228959 by Alan3354(30983)   on 2010-07-04 20:24:13 (Show Source): You can put this solution on YOUR website!You didn't specify a temperature or altitude to determine the speed of sound. I'll use 700 mph as the speed of sound. ----------------- Frequency The equation for the observed frequency of sound when the source is traveling toward you is: fo = fv/(v − vt) where fo is the observed frequency f is the emitted frequency v is the velocity of sound vt is the velocity of the source toward you v > vt (vt is less than v) ------------- fo = 1500*700/(700 - 80) fo =~ 1694 Hz
 Linear-equations/319679: May I have some help on this? If there are 1400 teachers in the district, how many are married with children? when: 42% = married with no children 16% = single with no children 9% = single parent 33% - married with no children 1 solutions Answer 228957 by Alan3354(30983)   on 2010-07-04 20:08:01 (Show Source): You can put this solution on YOUR website!You show married with no children twice
 Triangles/319600: what is 1/2mv^2?1 solutions Answer 228929 by Alan3354(30983)   on 2010-07-04 19:11:03 (Show Source): You can put this solution on YOUR website!It's a monomial. It's also the formula for kinetic energy.
 Polynomials-and-rational-expressions/319692: The weight of an object on a small planet in Alpha Centauri is governed by the following equation: w=c*r to the negative 1/2 root Here, C is a constant, and r is the distance that the object is from the center of the planet. Solve the above equation for r. 1 solutions Answer 228928 by Alan3354(30983)   on 2010-07-04 19:09:54 (Show Source): You can put this solution on YOUR website!The weight of an object on a small planet in Alpha Centauri is governed by the following equation: w=c*r to the negative 1/2 root Here, C is a constant, and r is the distance that the object is from the center of the planet. Solve the above equation for r. --------------------
 Inequalities/319675: 2x+ 6 < = x + 61 solutions Answer 228918 by Alan3354(30983)   on 2010-07-04 15:47:55 (Show Source): You can put this solution on YOUR website! 2x+ 6 <= x + 6 2x <= x x <= 0
 logarithm/319660: Hi, This is my last problem on my homework for the nite and it is due tonite. I got all my other work done with no problem but am having an issue with this one. Express the formula so that the expression in brackets is written as a single logarithim. Here is the formula... t= 1/c [ln A - ln (A-N)]1 solutions Answer 228910 by Alan3354(30983)   on 2010-07-04 14:37:52 (Show Source): You can put this solution on YOUR website!Express the formula so that the expression in brackets is written as a single logarithim. t= 1/c [ln A - ln (A-N)]
 Bodies-in-space/319661: The radius of a right circular cylinder is increased by 40% and the height is decreased by 50%. What is the change in the volume?1 solutions Answer 228909 by Alan3354(30983)   on 2010-07-04 14:34:48 (Show Source): You can put this solution on YOUR website!The radius of a right circular cylinder is increased by 40% and the height is decreased by 50%. What is the change in the volume? ---------------- Change in V = = 2% decrease
 Linear-equations/319665: Please help! If there are 100 Single Women with no Children, then how many are married with children? 1 solutions Answer 228907 by Alan3354(30983)   on 2010-07-04 14:00:34 (Show Source): You can put this solution on YOUR website!With ~7 billion people on Earth, it's probably at least 700,000,000.
 absolute-value/319640: Which of these integers has an absolute value greater than 11 solutions Answer 228902 by Alan3354(30983)   on 2010-07-04 10:39:22 (Show Source): You can put this solution on YOUR website!What integers?
 Linear-systems/319644: Solve by the substitution method 7x+5y=-51 x=-2-6y answer is no solution.......Is this correct?1 solutions Answer 228901 by Alan3354(30983)   on 2010-07-04 10:38:44 (Show Source): You can put this solution on YOUR website!No.
 Geometry_Word_Problems/319535: whats another word problem for 28.5 1 solutions Answer 228900 by Alan3354(30983)   on 2010-07-04 10:34:43 (Show Source): You can put this solution on YOUR website!What's the one you know?
 Linear-equations/319638: What is the Slope and y-intercept of the given linear equation? 1.y=x-1 2.y=1/2x=3 3.y=-3x 4.2x-3-y=0 5.-2x=y-1 6.5y=-3x-10 7.y=2+3x 8.3y=x+1 9.3x+y-2=01 solutions Answer 228899 by Alan3354(30983)   on 2010-07-04 10:09:03 (Show Source): You can put this solution on YOUR website! What is the Slope and y-intercept of the given linear equation? Put each eqn in slope-intercept form, y = mx + b. That means solve for y. Then, m is the slope and b is the y-intercept. 1.y=x-1 m = 1, b = -1 -------------- 2.y=1/2x=3 Too many equal signs ---------- 3.y=-3x 4.2x-3-y=0 5.-2x=y-1 6.5y=-3x-10 7.y=2+3x 8.3y=x+1 9.3x+y-2=0 You do the rest of them. email via the Thank You note to check your work.
 Pythagorean-theorem/319642: From the Pythagorean theorem, c1 = square root of 13. If a = 4, find c. what is the answer1 solutions Answer 228898 by Alan3354(30983)   on 2010-07-04 10:06:23 (Show Source): You can put this solution on YOUR website!What is the question? What is c1 ? Is that a side?
 test/319484: Solve when 0 degree < 0(theta)<90 degree cos 0(theta)/1-sin 0(theta) + cos 0(theta)/1+sin 0(theta)1 solutions Answer 228897 by Alan3354(30983)   on 2010-07-04 09:03:37 (Show Source): You can put this solution on YOUR website!There's nothing to solve, it's not an equation. No equal sign, no equation. Just use t, don't use 0(theta). ---------------- cos(t)/(1-sin(t) + cos(t)/(1+sin(t))
 test/319487: cos 35 degree/sin 35 degree + sin 11 degree/cos 79 degree - cos 28 degree cosec 62 degree1 solutions Answer 228896 by Alan3354(30983)   on 2010-07-04 08:54:18 (Show Source): You can put this solution on YOUR website!cos 35 degree/sin 35 degree + sin 11 degree/cos 79 degree - cos 28 degree cosec 62 degree ------------ If you mean: cos(35)/sin(35) + sin(11)/cos(79) - cos(28)*csc(62) Don't clutter it up with gibberish. sin(x) = cos(90-x) ------------------- cot(35) + sin(11)/sin(11) - sin(62)*(csc(62) = cot(35) + 1 - 1 = cot(35)
 Polynomials-and-rational-expressions/319598: 2^2x - 3*2^2x+2 +32=0 1 solutions Answer 228895 by Alan3354(30983)   on 2010-07-04 08:48:58 (Show Source): You can put this solution on YOUR website!What are the exponents? Is 2x the 2nd exponent? Or 2x+2 ? Parentheses are free, use some.
 Linear-equations/319626: x+y = 4 y = x i know the answer but i don't know how to solve it in a proper way... thnx..1 solutions Answer 228894 by Alan3354(30983)   on 2010-07-04 08:40:12 (Show Source): You can put this solution on YOUR website!x+y = 4 y = x --------- Since y=x, x+x = 4 2x=4 x = 2 y = 2
 Rectangles/319627: Each side of a rectangle increased by l%. The perimeter of the rectangle is increased by a 4% b 2% c 1% d 0.25% e 0.5%1 solutions Answer 228893 by Alan3354(30983)   on 2010-07-04 08:37:53 (Show Source): You can put this solution on YOUR website!Each side of a rectangle increased by l%. The perimeter of the rectangle is increased by . Let x=width and y=length . Original perimeter is 2(x+y) . Increased by 1% 1.01x = width 1.01y = lenth perimeter is: 2(1.01x + 1.01y) 2*1.01(x+y) 2.02(x+y) . amount increased: 2.02(x+y) - 2(x+y) (x+y)(2.02-2) (x+y)(0.02) 0.02(x+y) . percent increased is then [.02(x+y)]/[2(x+y)] * 100 [.02]/[2] * 100 .01 * 100 1% ---------------- I copied and pasted Nerdy Bill's solution, and changed it from 10% to the requested 1%. --------------- Nerdy Bill used 10% increase (inadvertently) and got a 10% increase in perimeter. I used 1%, and got a 1% increase in perimeter. The perimeter is linearly related to the side lengths. s*x --> p*x
 Inequalities/319633: Please find an equation of the circle that satisfies the given condition. Circle lies in the first quadrant, tangent to both x- and y- axes: radius 5.1 solutions Answer 228892 by Alan3354(30983)   on 2010-07-04 08:35:36 (Show Source):
 Numbers_Word_Problems/319629: The product of two natural numbers is 24. Their smallest possible sum is a 10 b 11 c 12 d 14 e 251 solutions Answer 228891 by Alan3354(30983)   on 2010-07-04 08:34:52 (Show Source): You can put this solution on YOUR website! The product of two natural numbers is 24. Their smallest possible sum is a 10 b 11 c 12 d 14 e 25 ---------------------- Considering only positive numbers, it's 10. If negative numbers are allowed, it's -25
 real-numbers/319620: Express each given irrational numbers as a quotient of two numbers. Ex. a) 0.1111... b) 0.585858... c) -3.173173173.. d) 4.0121212...1 solutions Answer 228888 by Alan3354(30983)   on 2010-07-04 07:56:04 (Show Source): You can put this solution on YOUR website!Express each given irrational numbers as a quotient of two numbers. Ex. a) 0.1111... n = 0.11111... 10n = 1.1111... 1n = 00.1111.... ------------------ Subtract 9n = 1 n = 1/9 --------- b) 0.585858... ---------------------- c) -3.173173173.. Ignore the -3 for now n = 0.173173... 1000n = 173.173173... 1n = 0.173173... ------------------- Subtract 999n = 173 n = 173/999 --> -3 173/999 ------------------ d) 4.0121212... You try b and d, email me via the Thank You note for help if needed.