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# Recent problems solved by 'Alan3354'

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 test/391315: When David gets \$8, his brother gets \$6. a) when David gets \$10, his brother gets \$__? b) when David gets \$y, his brother gets \$__?1 solutions Answer 277632 by Alan3354(30993)   on 2011-01-06 08:52:24 (Show Source): You can put this solution on YOUR website!When David gets \$8, his brother gets \$6. a) when David gets \$10, his brother gets \$__? b) when David gets \$y, his brother gets \$__? --------------- 6 = 8-2 a) when David gets \$10, his brother gets \$8 b) when David gets \$y, his brother gets \$y - 2 ---------- And 6 = 8*0.75 a) when David gets \$10, his brother gets \$7.50 b) when David gets \$y, his brother gets \$y*0.75 ---------- Other relationships are possible. Insufficient data.
 Sequences-and-series/391334: How would you continue the following number sequence? and Why? 100, 101, 103, 107, 115, 122, 127, ...1 solutions Answer 277630 by Alan3354(30993)   on 2011-01-06 08:48:57 (Show Source): You can put this solution on YOUR website!100, 101, 103, 107, 115, 122, 127, 137, 148, 161... ---------- Term = preceding term + the sum of the digits of 2^n 1 2 4 8 16 --> 7 32 --> 5 64 --> 10 128 --> 11 256 --> 13
 test/391274: Find maximum vale of r = sin 3x cos 2x1 solutions Answer 277560 by Alan3354(30993)   on 2011-01-05 22:27:18 (Show Source):
 Trigonometry-basics/391192: how do you do primary trig ratios with acute triangles? or with triangles that give you 2 angles but only one side length? Thanks for the help!1 solutions Answer 277559 by Alan3354(30993)   on 2011-01-05 22:23:37 (Show Source): You can put this solution on YOUR website!how do you do primary trig ratios with acute triangles? It depends on what you mean by "do" ---------------- or with triangles that give you 2 angles but only one side length? If you know 2 angles the 3rd is 180 minus their sum. Then use the Law of Sines to find the other 2 sides.
 Expressions-with-variables/391262: what is 6x+5y=-8; (2,y)1 solutions Answer 277558 by Alan3354(30993)   on 2011-01-05 22:21:10 (Show Source): You can put this solution on YOUR website!It's a linear equation, and a point.
 Expressions-with-variables/391260: what is 3x-7y=21; (x, -18)1 solutions Answer 277557 by Alan3354(30993)   on 2011-01-05 22:20:48 (Show Source): You can put this solution on YOUR website!It's a linear equation, and a point.
 Expressions-with-variables/391263: what is -x+9y=6; (x,-2)1 solutions Answer 277556 by Alan3354(30993)   on 2011-01-05 22:20:25 (Show Source): You can put this solution on YOUR website!It's a linear equation, and a point.
 Expressions-with-variables/391264: what is 5x+2y=1;(-3,y)1 solutions Answer 277555 by Alan3354(30993)   on 2011-01-05 22:19:45 (Show Source): You can put this solution on YOUR website!It's a linear equation and a point.
 logarithm/391257: simplify the expression: logbase6 (36^x)1 solutions Answer 277554 by Alan3354(30993)   on 2011-01-05 22:15:05 (Show Source): You can put this solution on YOUR website!logbase6 (36^x) 36 = 6^2 = = 2x
 Linear-systems/391261: solve the following system 6x-9y=8 14x-21y=181 solutions Answer 277550 by Alan3354(30993)   on 2011-01-05 22:12:30 (Show Source): You can put this solution on YOUR website!solve the following system 6x-9y=8 --> 2x-3y = 8/3 14x-21y=18 --> 2x-3y = 18/7 ------------- Inconsistent, the graphs are parallel lines, no solution.
Quadratic_Equations/391244: use the Pythagorean theorem to find the value of y, ti the nearest hundredth. side a is y+2, side b is y and side c is 17. can u plz help me out thnx
1 solutions

Answer 277541 by Alan3354(30993)   on 2011-01-05 21:46:00 (Show Source):
You can put this solution on YOUR website!
use the Pythagorean theorem to find the value of y, ti the nearest hundredth. side a is y+2, side b is y and side c is 17.
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Assuming 17 is the long side:

 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=2296 is greater than zero. That means that there are two solutions: . Quadratic expression can be factored: Again, the answer is: 10.9791485507109, -12.9791485507109. Here's your graph:

--------------------
Ignore the negative solution
y = 10.98
side b = 10.98
side a = 12.98

 Numbers_Word_Problems/391213: Subtrction with loke Denominators Draw a model to represent the subtraction problem. record the difference. 3/5-1/51 solutions Answer 277530 by Alan3354(30993)   on 2011-01-05 21:37:09 (Show Source): You can put this solution on YOUR website!3/5 - 1/5 = 2/5 I'm not sure what you mean by loke denominators.
 real-numbers/391227: I am using the conjugate of my original equation, , and trying to simplify it. please explain how to factor x out of the denominator of the following expression: . My textbook states that is supposed to be the answer, but I do not understand how to factor the radical. many, many thanks!1 solutions Answer 277524 by Alan3354(30993)   on 2011-01-05 21:35:13 (Show Source): You can put this solution on YOUR website! ------ Multiply NUM and DEN by the conjugate of the DEN, . ------ Your NUM is = x ??? You mention an "original equation", but don't show it ???
 Quadratic_Equations/391241: how do i solve a quadratic equation that is not set to equal to zero. for example 3^2+x=101 solutions Answer 277517 by Alan3354(30993)   on 2011-01-05 21:31:14 (Show Source): You can put this solution on YOUR website!Subtract 10 from each side, then it's equal to zero.
 Distributive-associative-commutative-properties/391238: A memo cube is 1 cubic unit. Christine packs 6 memo cubes into a box. There is room in the box for 8 more cubes. What is the volume of the box?1 solutions Answer 277515 by Alan3354(30993)   on 2011-01-05 21:30:36 (Show Source): You can put this solution on YOUR website!14 cubic units
 Problems-with-consecutive-odd-even-integers/391240: the sum of three consecutive odd integers is 875. find the integers 1 solutions Answer 277514 by Alan3354(30993)   on 2011-01-05 21:29:32 (Show Source): You can put this solution on YOUR website!The sum would be divisible by 3. 875 is not, --> no such set of integers.
 Systems-of-equations/391189: x-y=1 x=1/2y+21 solutions Answer 277503 by Alan3354(30993)   on 2011-01-05 21:11:56 (Show Source): You can put this solution on YOUR website!x-y=1 x=1/2y+2 --------- 2x - 2y = 2 2x = y + 4 Sub for 2x in the 1st eqn y+4 - 2y = 2 -y = -2 y = 2 -------- x-y = 1 x-2 = 1 x = 3 ----------- It's a problem, not a doctoral dissertation.
 Travel_Word_Problems/391219: How many seconds would it take a vehicle traveling 35 MPH to travel 128 feet ?1 solutions Answer 277498 by Alan3354(30993)   on 2011-01-05 21:07:44 (Show Source): You can put this solution on YOUR website!15 mi/hr = 22 ft/sec 35 mph = 35*22/15 = 154/3 ft/sec 128/(154/3) = 384/154 = 192/77 seconds =~ 2.49 seconds
 Trigonometry-basics/391222: Determine the value of y for the following equation: y = sec(pi)1 solutions Answer 277496 by Alan3354(30993)   on 2011-01-05 21:05:48 (Show Source): You can put this solution on YOUR website!sec = 1/cosine cos(pi) = -1 sec(pi) = -1
 expressions/391201: Hi my name is jayde, and I have a problem in math. I my worst subject, i like division but that is it I'm 11 years old and i dont know all my times tables but I'm lookin for somebody to tutor me and I'm afraid because I have aims test soon please help me so here's on question its reduce fractions 6 over 9 plese help me im so stuck thank very very very much1 solutions Answer 277488 by Alan3354(30993)   on 2011-01-05 20:56:31 (Show Source): You can put this solution on YOUR website!6/9 = (2*3)/(3*3) = (2/3)*(3/3) = (2/3)* 1 = 2/3
 Geometry_Word_Problems/391143: given the lateral area of the box below is 168 solve for x1 solutions Answer 277465 by Alan3354(30993)   on 2011-01-05 19:41:21 (Show Source): You can put this solution on YOUR website!No box is shown.
 Rectangles/391158: what is the maximum area of a rectangle with a perimeter of 100 feet1 solutions Answer 277464 by Alan3354(30993)   on 2011-01-05 19:40:32 (Show Source): You can put this solution on YOUR website!Max area is a square. 100/4 = 25 foot sides Area = 25*25 = 625 sq feet
 Trigonometry-basics/391177: which angle in radian measure corresponds to 300degrees? 1 solutions Answer 277462 by Alan3354(30993)   on 2011-01-05 19:39:12 (Show Source): You can put this solution on YOUR website!To convert, multiply by pi and divide by 180 300º = 300pi/180 degs = 5pi/6 radians
 Volume/391075: A box in the shape of a cube has a volume of 64 cubic inches. what is the length of a side of the box ?1 solutions Answer 277389 by Alan3354(30993)   on 2011-01-05 17:37:03 (Show Source): You can put this solution on YOUR website!s = side length Vol = s^3 = 64
 Geometry_Word_Problems/391098: Verify the identity: Sec^2B=1\1-sin^2B1 solutions Answer 277388 by Alan3354(30993)   on 2011-01-05 17:35:53 (Show Source): You can put this solution on YOUR website!Sec^2B=1/(1-sin^2B) I think you meant this. ---------- 1/cos^2(B) = 1/cos^2(B)
 Polynomials-and-rational-expressions/391022: In the expression x^n, n is called the ------, x is called the __________1 solutions Answer 277331 by Alan3354(30993)   on 2011-01-05 13:55:19 (Show Source): You can put this solution on YOUR website!n is the exponent, x is the base.
 Length-and-distance/391025: Given line XY, how many points on the line are exactly 3 inches away from point X? Explain.1 solutions Answer 277328 by Alan3354(30993)   on 2011-01-05 13:51:42 (Show Source): You can put this solution on YOUR website!If X and Y are the endpoints, there's only one point between them that's 3" from X. If the length of XY is less than 3", there are none.
 Expressions-with-variables/391013: An airplane flew for 8 hours at an air speed of x miles per hour, and for 7 more hours at 325 mph. if the average airspeed for the entire flight was 350 mph find x how would i do that1 solutions Answer 277325 by Alan3354(30993)   on 2011-01-05 13:50:09 (Show Source): You can put this solution on YOUR website!350 = the total distance / the total time
 Square-cubic-other-roots/391023: hi, how do you find the sixth root of 256 without a calculator? thanks!1 solutions Answer 277324 by Alan3354(30993)   on 2011-01-05 13:48:58 (Show Source): You can put this solution on YOUR website!256 = 2^8 The 6th root of 256 = the cube root of 16 = 2 * cube root of 2. The cube root of 2 requires either a calculator, or a log or trig table, to my knowledge.
 Travel_Word_Problems/391010: A jet is traveling west at 650 kph. What is its velocity if there is a wind of of 35 kph coming from the south1 solutions Answer 277302 by Alan3354(30993)   on 2011-01-05 12:51:26 (Show Source): You can put this solution on YOUR website!Assuming 650 km/hr is the air speed: =~ 650.94 km/hr or ~ 651 km/hr --------------- Its ground track is 270º + arctan(35/650) =~ 273.1º You asked for velocity. Velocity is a vector with components of speed and direction. --------------- PS Aviation and weather people us knots for speed, not km/hr or miles/hr.
 Finance/391006: if I bought a 3 month CD for \$5,000.00 @ 5.65 APY, what would I earn for my 3 months, and what if I left it in all year? Thanks1 solutions Answer 277301 by Alan3354(30993)   on 2011-01-05 12:48:26 (Show Source): You can put this solution on YOUR website!if I bought a 3 month CD for \$5,000.00 @ 5.65 APY, what would I earn for my 3 months, and what if I left it in all year? ------------ Assuming the interest is oompounded quarterly: FV = 5000*(1 + 0.0565/4) FV = \$5070.625 Banks always round down, --> \$5070.62 for 3 months -------------- For 1 yr: FV = 5000*(1 + 0.0565/4)^4 = \$5288.54