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# Recent problems solved by 'Alan3354'

Alan3354 answered: 30973 problems
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 expressions/458238: a=(a+b+c)/3 for c1 solutions Answer 314323 by Alan3354(30993)   on 2011-06-06 17:39:26 (Show Source): You can put this solution on YOUR website!a=(a+b+c)/3 for c ----------- 3a = a+b+c 2a = b+c c = 2a - b
 Angles/458235: whats the between complementary & supplementary angles1 solutions Answer 314322 by Alan3354(30993)   on 2011-06-06 17:38:11 (Show Source): You can put this solution on YOUR website!If you mean the difference, complemetary add to 90 degs supplementary add to 180 degs -------------
 Polynomials-and-rational-expressions/458224: How do describe how you get 15 times 25?1 solutions Answer 314321 by Alan3354(30993)   on 2011-06-06 17:37:10 (Show Source): You can put this solution on YOUR website!I think about it for 7 milliseconds, then I type it in
 Geometry_Word_Problems/458233: the are of a rectangle is 525 cm squared. find the dimensions of a rectangle if the ratio of the length to the width is 7:3.1 solutions Answer 314320 by Alan3354(30993)   on 2011-06-06 17:36:19 (Show Source): You can put this solution on YOUR website!7*3 = 21 525/21 = 25 --> 35 by 15
 Rate-of-work-word-problems/458236: If it takes 6 men 6 days to dig 6 holes, how long would it take 100 men to dig 50 holes?1 solutions Answer 314319 by Alan3354(30993)   on 2011-06-06 17:35:00 (Show Source): You can put this solution on YOUR website!6 men * 6 days = 36 man-days --> 1/6 man-day per hole 50 holes = 50/6 man-days (50/6) man-days/100 men = 1/12 day = 2 hours They might get in each other's way, tho, or waste time talking.
 Linear-systems/458237: How do you contain linear equations with constants in denominators in a problem? Can you give me an example please?1 solutions Answer 314318 by Alan3354(30993)   on 2011-06-06 17:32:40 (Show Source): You can put this solution on YOUR website!Contain? You provide the example.
 Equations/458231: Find the equation or inequality by clearing the fractions. 1. 1/3x-4<5/61 solutions Answer 314317 by Alan3354(30993)   on 2011-06-06 17:22:45 (Show Source): You can put this solution on YOUR website!1/3x-4<5/6 Multiply by 3 x - 12 < 5/2 Add 12 x < 29/2
 Human-and-algebraic-language/458201: the product of two consecutive intergers is 224 1 solutions Answer 314274 by Alan3354(30993)   on 2011-06-06 15:52:28 (Show Source): You can put this solution on YOUR website!sqrt(224) = about 15, the center --> 14*16 = 224 ------------ It's not possible for 2 consecutive integers to do that. It's 2 consecutive even integers ----------- PS Only 1 r in integer
 Rate-of-work-word-problems/458011: It takes a plane eight hours to fly 1280 miles with the wind. If it takes it 12 hours and 48 minutes (12.8 hours) to cover the same distance when flying against the wind, find the speed of the wind in miles per hour.1 solutions Answer 314174 by Alan3354(30993)   on 2011-06-06 10:15:07 (Show Source): You can put this solution on YOUR website!1280/8 = 160 mph 1280/12.8 = 100 mph The plane's airspeed is the average = (160 + 100)/2 = 130 mph The windspeed is the difference = 160 - 130 = 30 mph
 Expressions-with-variables/458021: The value of x,y and z respectively on simplifying the equation 2x+3y=0,3y+4z=14.2x+4z=26 is?Thanks a lot.1 solutions Answer 314164 by Alan3354(30993)   on 2011-06-06 09:43:02 (Show Source): You can put this solution on YOUR website!2x+3y=0 ---> 2x = -3y 3y+4z=14 2x+4z=26 ---------- Sub for 2x in the 3rd eqn -3y + 4z = 26 +3y + 4z = 14 eqn 2 -------------- Add 8z = 40 z = 5 ------- +3y + 4z = 14 eqn 2 3y + 20 = 14 3y = -6 y = -2 ------- 2x = -3y = 6 x = 3 (x,y,z) = (3,-2,5)
 Expressions-with-variables/458024: If =,then m(n-2)+n(m-2)is?1 solutions Answer 314162 by Alan3354(30993)   on 2011-06-06 09:38:56 (Show Source): You can put this solution on YOUR website!If =,then m(n-2)+n(m-2)is? ---------- The example you show is multiplied, then you ask about addition. m(n-2)+n(m-2) = mn - 2m + mn -2n = 2mn -2m - 2n
 Signed-numbers/458015: how do u solve equations1 solutions Answer 314161 by Alan3354(30993)   on 2011-06-06 09:37:05 (Show Source): You can put this solution on YOUR website!You isolate the variable of interest.
 Triangles/458010: how do u find the value of x of of a triangle with only one measurement such as 4.5 1 solutions Answer 314150 by Alan3354(30993)   on 2011-06-06 07:59:06 (Show Source): You can put this solution on YOUR website!It's not possible.
 Circles/457978: PlSSS HEEELLLPPP!!! This are the last problems I'm stuck on Find the equation of the circle. Center C(2, -3). radius 5 Center C(-4, 6). passing through P(1, 2) Center C(4, -1), tangent to the y-axis 1 solutions Answer 314136 by Alan3354(30993)   on 2011-06-06 02:17:47 (Show Source): You can put this solution on YOUR website!Center C(2,-3). radius 5 Standard form of a circle ---------------- Center C(-4,6). passing through P(1, 2) Find the distance from C to P, that's the radius. Then it's like the first one. ---------------- Center C(4,-1), tangent to the y-axis The radius is the distance from C to the y-axis r = 4 See #1
 test/457838: What does it mean when the exponent is at the bottom right corner of the number instead of at the top?1 solutions Answer 314048 by Alan3354(30993)   on 2011-06-05 18:22:43 (Show Source): You can put this solution on YOUR website!Probably that it's not an exponent, but a base.
 Triangles/457836: is a triangle with the sides 5,10, and 12 acute?1 solutions Answer 314043 by Alan3354(30993)   on 2011-06-05 18:13:37 (Show Source): You can put this solution on YOUR website!If 12^2 < (5^2 + 10^2) it's acute
 Geometry_Word_Problems/457829: Determine the vertical distance, the horizontal distance, and the shortest distance between the following pair of parallel lines. Round distance to the nearest hundredth, if necessary. Q1) 3x+2y=6 and 3x+2y=01 solutions Answer 314042 by Alan3354(30993)   on 2011-06-05 18:11:50 (Show Source): You can put this solution on YOUR website!Determine the vertical distance, the horizontal distance, and the shortest distance between the following pair of parallel lines. Round distance to the nearest hundredth, if necessary. Q1) 3x+2y=6 and 3x+2y=0 --------------- Find the y-ints to get the y distance 3x+2y=6 --> y-int = 3 3x+2y=0 --> y-int = 0 y distance = 3 ------------------- Solve for x to get the x distance 3x+2y=6 --> x-int = 2 3x+2y=0 --> x-int = 0 x distance = 2 ------------ shortest distance between 2 lines = x*y/sqrt(x^2 + y^2) = 2*3/sqrt(13) = 6sqrt(13)/13 =~ 1.6641
 Problems-with-consecutive-odd-even-integers/457787: The sum of three consecutive even integers is 195. Find the integers.1 solutions Answer 314038 by Alan3354(30993)   on 2011-06-05 17:27:58 (Show Source): You can put this solution on YOUR website!Adding even numbers always gives an even number Adding to 195 is not possible.
 Linear-equations/457793: I am not getting this could someone please help me...thanks! For the polynomial: x^4-9x^2+4x+12 a)find the rational zeros and then the other zeros; that is, solve f(x)=0 b)Express f(x) as a product of linear factors. 1 solutions Answer 314037 by Alan3354(30993)   on 2011-06-05 17:26:25 (Show Source): You can put this solution on YOUR website!Try the factors of 12, plus and minus.
 Geometry_Word_Problems/457795: if a 24 ft. ladder makes a 58 degree angle with the ground, how many feet up a wall will it reach?1 solutions Answer 314036 by Alan3354(30993)   on 2011-06-05 17:24:58 (Show Source): You can put this solution on YOUR website!24*sin(58)
 Sequences-and-series/457797: Okk...I don't know what the formula for g(n) is? 1 solutions Answer 314035 by Alan3354(30993)   on 2011-06-05 17:24:18 (Show Source): You can put this solution on YOUR website!Neither do I
 Quadratic_Equations/457779: I have another difficult problem x^2/3-3x ^1/3-4=01 solutions Answer 314032 by Alan3354(30993)   on 2011-06-05 16:35:36 (Show Source): You can put this solution on YOUR website!Sub u for x^(1/3) ---------- u^2 - 3u - 4 = 0 (u-4)*(u+1) = 0 u = -1, 4 ------------- x^(1/3) = -1 x = -1 ---------- x^(1/3) = 4 x = 64 Not that hard, just a bit tricky.
 Quadratic_Equations/457781: I really don't understand this one: Determine the nature of the solution of the equation x^2-18x+81=01 solutions Answer 314031 by Alan3354(30993)   on 2011-06-05 16:30:48 (Show Source): You can put this solution on YOUR website!You can do it 2 ways. The discriminant = --> 2 real solutions, both x = 9 --------------------------- Or you can factor it = (x-9)^2 same thing, 2 real solutions x = 9, or x = 9, multiplicity 2.
 Trigonometry-basics/457671: New York and Los Angeles are 2450 mi. apart. Find the angle that the arc between these two cities subtends at the center of the earth. (radius of the earth is 3960 mi.)1 solutions Answer 314030 by Alan3354(30993)   on 2011-06-05 16:28:15 (Show Source): You can put this solution on YOUR website!Angle = arc/radius = 2450/3960 Angle = 0.61868 radians -------------- for degrees, multiply by 180/pi = 35.448 degrees
 Pythagorean-theorem/457737: What is the third side measure for this triangle? Base length: 15 in height length: 8 in diagonal length: ? Right triangle solution c= 15squared + 8squared = 289 square root of 289 = 17 ft1 solutions Answer 314029 by Alan3354(30993)   on 2011-06-05 16:25:53 (Show Source): You can put this solution on YOUR website!If it's a right triangle, you can use Pythagoras If not, you need more info.
 Linear_Equations_And_Systems_Word_Problems/457684: Form an equivalent expression by rationalizing the denominator. 24/√171 solutions Answer 313995 by Alan3354(30993)   on 2011-06-05 13:56:22 (Show Source):
 Money_Word_Problems/457695: A long distance phone call between two cities costs \$9.45 for 7 minutes. What is the rate in cents per minute?1 solutions Answer 313994 by Alan3354(30993)   on 2011-06-05 13:55:12 (Show Source): You can put this solution on YOUR website!Divide 945 by 7
 Trigonometry-basics/457669: Find the measure of a central angle θ in a circle of radius 5ft if the angle is subtended by an arc of length 7ft.1 solutions Answer 313989 by Alan3354(30993)   on 2011-06-05 12:55:24 (Show Source): You can put this solution on YOUR website!7/5 = 1.4 radians
 Linear-equations/457465: The point (0, -3.5) lies on the line 11x – 6y = 21. Determine if this point is a solution of the system 11x – 6y = 21 9x + 8y = 43 1 solutions Answer 313949 by Alan3354(30993)   on 2011-06-05 06:47:05 (Show Source): You can put this solution on YOUR website!Sub for x & y in 9x + 8y = 43
 Linear-systems/457525: Can someone help me solve this problem by substituion method to come up with the solution? 5m + n = 29 m = 6n = 121 solutions Answer 313948 by Alan3354(30993)   on 2011-06-05 06:44:23 (Show Source): You can put this solution on YOUR website!Too many equal signs in the 2nd eqn
 logarithm/457501: how do you re-write 3^x=90 as a logarithm and solve it?1 solutions Answer 313901 by Alan3354(30993)   on 2011-06-04 21:39:22 (Show Source): You can put this solution on YOUR website!how do you re-write 3^x=90 as a logarithm and solve it? As a log: ---------------- 3^x=90 x*log(3) = log(90) x = log(90)/log(3) x =~ 4.0959