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# Recent problems solved by 'Alan3354'

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 Proportions/410215: BABY PLEASE DON'T GOOOOOO IF I WAKE UP TOMORROW WILL U STILL BE HERE? I DON'T KNOOOWWWW! BABY PLEASE DON'T DON'T DON'T DON'T BABY PLZ DON'T RUN AWAY...1 solutions Answer 288513 by Alan3354(30959)   on 2011-02-16 16:36:09 (Show Source): You can put this solution on YOUR website!Ok, I'll be here.
 Age_Word_Problems/410218: When I was 14, my mother was 41, and she is now twice as old as I am. How old am I? 1 solutions Answer 288511 by Alan3354(30959)   on 2011-02-16 16:35:29 (Show Source): You can put this solution on YOUR website!The difference is 27 years, so you're 27.
 Inequalities/410211: 4(x-2)=3(1.5+x)1 solutions Answer 288508 by Alan3354(30959)   on 2011-02-16 16:31:04 (Show Source): You can put this solution on YOUR website!F = ma, for a ------------- You need to get a on one side of the equal sign by itself, that's all. a is multiplied by m, so divide both sides by m ------------ F/m = ma/m = a a = F/m That's it.
 Human-and-algebraic-language/410152: Can someone please help me with this problem? A man sold 2 acres more than 3/5 of his farm and had 4 acres less than 1/2 of it left. How many acres in the farm? Call this X. Find X. 1 solutions Answer 288492 by Alan3354(30959)   on 2011-02-16 14:59:56 (Show Source): You can put this solution on YOUR website!Ok, it's x. x - ( (3/5)x + 2) = (1/2)x - 4 x - 3x/5 - 2 = x/2 - 4 2x/5 - 2 = x/2 - 4 4x - 20 = 5x - 40 x = 20 ------
 Polygons/410053: if the measure of one interior angle of a regular polygon is 108 degrees, how many sides does the polygon have?1 solutions Answer 288453 by Alan3354(30959)   on 2011-02-16 11:48:10 (Show Source): You can put this solution on YOUR website!The exterior angles are 72º (180 - 108) The sum of exterior angles of ALL polygons is 360º 360/72 = 5 sides
 Complex_Numbers/409928: pls fuking asker me this dmn questn E=MC21 solutions Answer 288443 by Alan3354(30959)   on 2011-02-16 10:53:59 (Show Source): You can put this solution on YOUR website!That's not a question, it's a formula. Do you have a question? ---- Do you speak English? Or any language?
 test/410029: The area of the polygon is 218 square inches. Find the approximate length of one side of this polygon.1 solutions Answer 288441 by Alan3354(30959)   on 2011-02-16 10:50:41 (Show Source): You can put this solution on YOUR website!Approximately how many sides does it have?
 Triangles/409486: A right triangle has sides a, b, and c. If the length of side c is 13 cm and the length of side a is 5 cm, what will be the length of side b? 1 solutions Answer 288231 by Alan3354(30959)   on 2011-02-15 13:42:55 (Show Source):
 Travel_Word_Problems/409499: a truck enters a highway driving 60mph. a car enters at the same place 13 minuites later and drives 69mph in the same direction. how long does it take for the car to pass the truck?1 solutions Answer 288230 by Alan3354(30959)   on 2011-02-15 13:42:07 (Show Source): You can put this solution on YOUR website!a truck enters a highway driving 60mph. a car enters at the same place 13 minuites later and drives 69mph in the same direction. how long does it take for the car to pass the truck? ------------------ The truck goes 13 miles in 13 minutes (60 * 13/60) The car gains on the truck at 9 mph (69 - 60) 13 miles/9 mph = 13/9 hours
 Exponential-and-logarithmic-functions/409431: Write this equation in logarithmic form 7^3=3431 solutions Answer 288227 by Alan3354(30959)   on 2011-02-15 13:32:54 (Show Source):
 Problems-with-consecutive-odd-even-integers/409488: what three consecutive even integers added together equal 166?????????1 solutions Answer 288226 by Alan3354(30959)   on 2011-02-15 13:31:55 (Show Source): You can put this solution on YOUR website!It's not possible. The sum would be a multiple of 3, 166 is not. -------- n-2 + n + n+2 = 3n = 166 166/3 = 55.3333...
 Reduction-of-unit-multipliers/409484: use three unit multipliers to convert 50 cubic inches to cubic centimeters1 solutions Answer 288225 by Alan3354(30959)   on 2011-02-15 13:30:01 (Show Source): You can put this solution on YOUR website!1 inch = 2.54 cm (exactly) 50 cub inches = 50*2.54*2.54*2.54 cc
 Linear-equations/409501: What is the slope-intercept form of -2x+3y=6?1 solutions Answer 288224 by Alan3354(30959)   on 2011-02-15 13:28:34 (Show Source): You can put this solution on YOUR website!Just solve for y.
 Graphs/409473: please i need help!! gaph the line w/the givven point and slope (-2,5) -1 I understand that y=mx+b 5= -2(-1)+b b=3 right?? so how do I graph a line like this?? so frustrated!!1 solutions Answer 288210 by Alan3354(30959)   on 2011-02-15 12:24:39 (Show Source): You can put this solution on YOUR website!I understand that y=mx+b 5= -2(-1)+b b=3 right?? ----------------- That's right. Now you know the slope, m and the y-int, b So y = mx + b y = -x + 3 is the equation of the line. ------------ Pick 2 values for x and find y x = 0, y = 3 --> (0,3) x = 3, y = 0 --> (3,0) Plot the two points, draw a line thru them
 Polynomials-and-rational-expressions/409459: I am trying to figure out how to solve polynomial equations and my instructor is not very good at explaining things so that I understand them. Can someone explain to me how to solve polynomial equations. Example: (4x+9)(15x^2-7x-2)=0 I don't understand algebra at all, and I'm lacking the help from my instructor.1 solutions Answer 288203 by Alan3354(30959)   on 2011-02-15 11:56:18 (Show Source): You can put this solution on YOUR website!(4x+9)(15x^2-7x-2)=0 -------------- If the product is zero, then one of the factors must be zero. See that? If (4x+9) = 0 4x = -9 x = -9/4 -------- If (15x^2-7x-2)=0 This is not as obvious, but you can factor it: (5x+1)*(3x-2) = 0 Then either (5x+1) = 0 --> x = -1/5 ---------- or (3x-2) = 0 --> x = 2/3 -------------- The 3 solutions are x = -9/4 x = -1/5 x = 2/3
 Polynomials-and-rational-expressions/408988: I am needing some help on this for my kids homework. I am sure it is easy for some, but I was never good in math anyway. Thank you. Subtract and show all work: (-4-2x^5+9x^7-8x^6)-(x^6+4x^5+4+3x^7)1 solutions Answer 288044 by Alan3354(30959)   on 2011-02-14 17:12:24 (Show Source): You can put this solution on YOUR website!(-4-2x^5+9x^7-8x^6)-(x^6+4x^5+4+3x^7) -------------- = =
 Polynomials-and-rational-expressions/409064: x^4=125x1 solutions Answer 288043 by Alan3354(30959)   on 2011-02-14 17:05:00 (Show Source): You can put this solution on YOUR website!x^4=125x ---------- x^4 - 125x = 0 x(x^3 - 125) = 0 x = 0 -------- x^3 = 125 x = 5 (the principal root) ----------- There are 2 other roots, if you're interested.
 logarithm/408961: This one is really stumping me... Havent got into the ln function yet, only using log base 10 at this point Solve the following exponential equation using logarithms: (3^2x)-(3^x)=2161 solutions Answer 288007 by Alan3354(30959)   on 2011-02-14 15:08:36 (Show Source): You can put this solution on YOUR website!(3^2x)-(3^x)=216 Sub w for 3^x --> w^2 - w - 216 = 0 w = 1/2 + sqrt(865)/2 (the 2nd solution is negative, and can't be used) Sub back 3^x = 1/2 ± sqrt(865)/2 3^x =~ 15.20544 x*log(3) = log(15.20544) x = log(15.20544)/log(3) x =~ 2.477 -------------------
 Equations/408395: a car travelling at 50mph covers 70 miles in 84 minutes, how long would it take a car travelling at 45mph to cover the same distance1 solutions Answer 287742 by Alan3354(30959)   on 2011-02-13 10:54:52 (Show Source): You can put this solution on YOUR website!70 miles/45 mph = 14/9 hours = (14/9)*60 minutes
 test/408421: Factor the perfect square trinomial. 1/36x^2-4x+144 1 solutions Answer 287739 by Alan3354(30959)   on 2011-02-13 10:52:09 (Show Source): You can put this solution on YOUR website!For ALL perfect square trinomials, it's the sq roots of the end terms. --> (1/6)x and 12 What's to figure out?
 Points-lines-and-rays/408124: What is an equation of the line that passes through the point (-2, 5) and is perpendicular to the line whose equation is y = 1/2x + 5? 1. y = 2x + 1 2. y = -2x + 1 3. y = 2x + 9 4. y = -2x - 91 solutions Answer 287578 by Alan3354(30959)   on 2011-02-12 11:39:07 (Show Source): You can put this solution on YOUR website! What is an equation of the line that passes through the point (-2, 5) and is perpendicular to the line whose equation is y = 1/2x + 5? ---------- Its slope m = -2, so it's choice 2 or 4. Choice #2 passes thru the point, #4 doesn't. --> #2 y = -2x + 1 --------------------- 1. y = 2x + 1 2. y = -2x + 1 3. y = 2x + 9 4. y = -2x - 9
 test/408101: My directions for an algebra problem say "write the answer with all exponents positive". How do I do that?1 solutions Answer 287564 by Alan3354(30959)   on 2011-02-12 10:15:49 (Show Source): You can put this solution on YOUR website!You eliminate the negative exponents.
 Triangles/408115: an equilateral triangle has a perimeter of 12. what is the length of each side?1 solutions Answer 287563 by Alan3354(30959)   on 2011-02-12 10:14:38 (Show Source):
 Quadratic_Equations/407945: A 2cm wide frame is placed around a square photograph. If the total area of frame and photograph is 144cm2. Determine the dimensions of the photograph.1 solutions Answer 287488 by Alan3354(30959)   on 2011-02-11 19:38:08 (Show Source): You can put this solution on YOUR website!8 by 8
 Exponents-negative-and-fractional/408005: What is the solution for x/12=x/4-2 What is the solution to this fractional equation1 solutions Answer 287487 by Alan3354(30959)   on 2011-02-11 19:36:55 (Show Source): You can put this solution on YOUR website!x/12=x/4-2 x/12 = 3x/12 - 24/12 x = 3x - 24 -2x = -24 x = 12
 Radicals/407995: How do i solve a problem like this?: Evaluate x² - 3x + 4 evaluated for x=1 + i equal 1 solutions Answer 287470 by Alan3354(30959)   on 2011-02-11 18:17:04 (Show Source): You can put this solution on YOUR website!Evaluate x^2-3x+4 evaluated for x=1+i ----------- Sub 1+i for x x^2-3x+4 = (1+i)^2 - 3(1+i) + 4 = 1 + 2i -1 - 3 - 3i + 4 = -i + 1 = 1 + i
Age_Word_Problems/407981: (1) A woman is 35years old and her son is 25years old how many years ago was their product is their ages is 1740? (2) A number is subtracted from 20 and from 17. The product of the numbers obtain is 180. Find the original number?
1 solutions

Answer 287462 by Alan3354(30959)   on 2011-02-11 17:08:23 (Show Source):
You can put this solution on YOUR website!
(1) A woman is 35years old and her son is 25years old how many years ago was their product is their ages is 1740?
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x*(x+10) = 1740

 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=7060 is greater than zero. That means that there are two solutions: . Quadratic expression can be factored: Again, the answer is: 37.0119030752, -47.0119030752. Here's your graph:

It's in the future, when she's 47.012 and he's 37.012.
She had a son at age 10, I don't think algebra is her biggest problem.
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(2) A number is subtracted from 20 and from 17. The product of the numbers obtain is 180. Find the original number?
(20-x)*(17-x) = 180

 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=2009 is greater than zero. That means that there are two solutions: . Quadratic expression can be factored: Again, the answer is: 3.91093483101497, -40.910934831015. Here's your graph:

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 Quadratic-relations-and-conic-sections/407928: In how many ways can three cards be selected from a 52-card deck if the selected cards are not returned to the deck?1 solutions Answer 287461 by Alan3354(30959)   on 2011-02-11 17:01:33 (Show Source): You can put this solution on YOUR website!52*51*50 = 132600
 Radicals/407969: 8 over sqrt 14 +1 (note +1 is not under the radical, but 8 is over everything) Rationalize the denominator, type an exact answer, using radicals as needed. Thank you!!! 1 solutions Answer 287460 by Alan3354(30959)   on 2011-02-11 16:59:25 (Show Source): You can put this solution on YOUR website! -------- Multiply by (1-sqrt(14))/(1-sqrt(14)) = = or
 Radicals/407980: In a right triangle, find the length of the side not given. Give an exact answer and an approximation. a=2, c=sqrt(11) The exact length of the 3rd side is---- The approximate length is---- Simplify your answer, type an exact answer, using radicals as needed. Thank you!1 solutions Answer 287459 by Alan3354(30959)   on 2011-02-11 16:54:32 (Show Source): You can put this solution on YOUR website!In a right triangle, find the length of the side not given. Give an exact answer and an approximation. a=2, c=sqrt(11)
 Triangles/407961: the sides of a triangle measure 2,3, and 4. If the smallest side side of a similar triangle measures 8, then the measure of the largest side is?1 solutions Answer 287455 by Alan3354(30959)   on 2011-02-11 16:28:02 (Show Source): You can put this solution on YOUR website!16