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# Recent problems solved by 'funmath'

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 Polynomials-and-rational-expressions/54588: This question is from textbook Algebra- Structure& Method Book1 27.r=ab/a+b (solve for a) 29.C=K(Rr/R-r) solve for R1 solutions Answer 36843 by funmath(2925)   on 2006-10-04 07:15:40 (Show Source): You can put this solution on YOUR website!You have to be patient with these. Take as many steps as you need to to isolate your variables. : 27. for a : 28. Happy Calculaitng!!!
 Distributive-associative-commutative-properties/54535: This question is from textbook Beginning Algebra Hope I am in the right place with this question. Factor each of the following trinomials completely. 2a^3-52a^2b+96ab^2. I got as far as ... 2a(a^2-26ab+48b^2). Then I got completely lost.1 solutions Answer 36795 by funmath(2925)   on 2006-10-03 21:10:35 (Show Source): You can put this solution on YOUR website!You got the first step right. and so... Two numbers that multiply together to give you +48, but add together to give you -26 are -2 and -24. Happy Calculating!!!
 Complex_Numbers/54531: (-3 - √-7)^2 Write in standard form. I got 6 - 2√7i Thanks for your help!1 solutions Answer 36790 by funmath(2925)   on 2006-10-03 20:57:55 (Show Source): You can put this solution on YOUR website!You are really close. Remember: Happy Calculating!!!
 Numbers_Word_Problems/54490: can you think of any two odd numbers where the sum of the numbers will be odd1 solutions Answer 36749 by funmath(2925)   on 2006-10-03 18:02:17 (Show Source): You can put this solution on YOUR website!No, the sum of any two odd numbers is even. 1+1=2 23565+13=23578 I won't bore you with more examples. Do you need it proven, let me know what math you're in and I'll prove it. Sorry, I mistyped the first line yesterday. Happy Calculating!!!
 Linear-systems/54421: Solve the system by substitution: x-2y=6 y=2x-61 solutions Answer 36746 by funmath(2925)   on 2006-10-03 17:51:33 (Show Source): You can put this solution on YOUR website!L1) x-2y=6 L2) y=2x-6 -----------Since L2 is already solved for y, plug (2x-6) in for y in L1 and solve for x: x-2(2x-6)=6 x-4x+12=6 -3x+12=6 -3x+12-12=6-12 -3x=-6 -3x/-3=-6/-3 x=2 ------------Plug (2) in for x in L2 and solve for y: y=2(2)-6 y=4-6 y=-2 ------------The solution (x,y)=(2,-2) Check in both equations by substituting (x,y)=(2,-2) and see if it equals out: L1) (2)-2(-2)=6 2+4=6 6=6 L1 checks out. L2) (-2)=2(2)-6 -2=4-6 -2=-2 L2 checks out also, so we can say with confidence that the solution indeed is:(x,y)=(2,-2) Happy Calculating!!!
 Geometry_proofs/54489: Factor completely. 16+2x^3y^3 1 solutions Answer 36745 by funmath(2925)   on 2006-10-03 17:37:34 (Show Source): You can put this solution on YOUR website!1st factor out the GCF (greatest common factor) 2nd use the formula for factoring the sum of two cubes : 2 is the GCF, so factor out a 2: Recognize that the stuff in the parenthsis is the sum of cubes. a=2 and b=xy, plug into the formula and you have: Happy Calculating!!!!
 Inequalities/54321: This question is from textbook How do you solve this inequality.1 solutions Answer 36742 by funmath(2925)   on 2006-10-03 17:25:22 (Show Source): You can put this solution on YOUR website!We need x all by itself on one side of the inequality sign. take 4/5 away from both sides because it doesn't have an x. Multiply both sides by -1/3 to get rid of the -3, WHENEVER you multiply OR divide by a NEGATIVE number FLIP the inequality sign. Happy Calculating!!!
 Number-Line/54483: you know how the arrow is pointing greater or less in a problem can you see the way the line on the number line can go by the way the arrow is pointing ? and if any chance can you give me worksheets thanks1 solutions Answer 36739 by funmath(2925)   on 2006-10-03 17:17:20 (Show Source): You can put this solution on YOUR website!If the variable is on left once you've simplified, you shade in the direction that the arrow is pointing. : x<3 <<=======)-------> -1,0,1,2,3,4,5,6,7 : x>3 <--------(=======>> -1,0,1,2,3,4,5,6,7 ; I don't have any e-worksheets, sorry. Happy Calculating!!!
 Graphs/54328: This question is from textbook Algebra 1 CONCEPTS AND SKILLS x-2y=41 solutions Answer 36738 by funmath(2925)   on 2006-10-03 17:04:41 (Show Source): You can put this solution on YOUR website!Because this line is in standard form: , it's easiest to graph it by finding the x and y intercepts, plotting them, and connecting the dots. x-2y=4 Let x=0 and solve fot y in order to find the y intercept. 0-2y=4 -2y=4 -2y/-2=4/-2 y=-2 Plot (0,-2) Let y=0 and solve for x to find the x intercept. x-2(0)=4 x-0=4 x=4 Plot (4,0) Connect the dots and you should have a line that looks like: Happy Calculating!!!
 Functions/54465: Simplify. a^-3b^21 solutions Answer 36714 by funmath(2925)   on 2006-10-03 12:56:49 (Show Source): You can put this solution on YOUR website!The Rule used to simplify this is: Happy Calculating!!!
 Functions/54466: Simplify. (3/5)^-31 solutions Answer 36713 by funmath(2925)   on 2006-10-03 12:54:38 (Show Source): You can put this solution on YOUR website!The rules of exponents that I'm going to use are: : Happy Calculating!!!
 Exponents/54467: Simplify. x^-2y^31 solutions Answer 36712 by funmath(2925)   on 2006-10-03 12:46:01 (Show Source): You can put this solution on YOUR website!To simplify this you need to give it positive exponents within the rules of algebra: The Rule used is Happy Calculating!!!
 percentage/54447: One day, the temperature at 2:00 A.M. was 43°F, and by 3:00 P.M. the temperature was 56°F. What was the hourly rate of temperature change? 2°F/h This is the answer I got but it seems wrong can you help?1 solutions Answer 36708 by funmath(2925)   on 2006-10-03 11:58:56 (Show Source): You can put this solution on YOUR website!This one is tricky because of the time change: Rate=the change in Temperature/change in time The change in temperature is: 56°F-43°F=13°F The change in time is the hard part, it might help to think of 2AM as being the 2nd hour of the day and 3PM as being the 15th hour of the day. Then the change in time=15h-2h=13h. Therefore, the rate of temeperature change is=13°F/13h=1°F/h Happy Calculating!!!
 Inverses/54450: what is the easierest way to study math or pre algebra? 1 solutions Answer 36703 by funmath(2925)   on 2006-10-03 11:39:49 (Show Source): You can put this solution on YOUR website!There really is no "easy" way. But here are some tips: 1. Go to all your classes. 2. Take notes and be an active participant in the class (ask questions, do the examples with the teacher, ect.) 3. Be neat and organized it reduces the confusion. 4. Write all the steps down and the reason you took the steps when you review your notes. 5. Practice Practice Practice. Math is a skill like playing a video game or playing a sport or even knitting. At first it is hard, but it gets easier with practice. Do all of your homework. After, you get good at it, you may even start to enjoy it. 6. Write all the rules and formulas in the front of your notebook and review them a couple of times a week. Math is cummulative, if you don't get Pre-Algebra, you won't get algebra. Everything builds on itself. 7. Do what you're doing right now---get help when you need it either from school, home, or the internet. Happy Calculating!!!
 Polynomials-and-rational-expressions/54426: I am having a hard time dividing this rational expression: PLEASE HELP! 6p-18 over 9p divided by 3p-9 over p^2+2p Thanks in advance! ac1 solutions Answer 36701 by funmath(2925)   on 2006-10-03 11:07:54 (Show Source): You can put this solution on YOUR website!When dividing fractions, flip the fraction after the division symbol and multiply. divided by becomes: Now factor the numerators and denoominators of both fractions: Now cancel everything that matches top to bottom: Multiply what's left. Happy Calculating!!!
 Linear-systems/54432: I do not understand how to solve this, please help. Solve the following system by addition. If a unique solution does not exist, state whether the system is inconsistent or dependent. x + 5y = 10 and -2x – 10y = -20 1 solutions Answer 36699 by funmath(2925)   on 2006-10-03 10:48:00 (Show Source): You can put this solution on YOUR website!L1) x+5y=10 L2)-2x-10y=-20 --------------Multiply L1 by 2 so that if we add the two equations we eliminate the x's. L1)2(x+5y)=2(10)------>2x+10y=20 ---------------Add L1+L2 2x+10y=20 -2x-10y=-20 ____________ 0x+0y=0 0=0 This system is because we can't solve it and 0 does = 0. This has an infinite number of solutions, no matter what we put in for their x's their y's will always =. Graphically, it looks like the same exact line. Happy Calculating!!!
 Geometry_proofs/54442: A man has a square garden area with a sidewalk 2 feet wide all around it. If the area of the sidewalk plus garden is 196 square feet, what are the dimensions of the garden area?1 solutions Answer 36697 by funmath(2925)   on 2006-10-03 10:36:19 (Show Source): You can put this solution on YOUR website!First notice that they said that the garden was a square. That tells us that all of the sides are equal. The area of a square is Let the side of the garden =x If you were to draw a square with a bigger square extended 2 feet around it, you would see that the bigger square has sides that look like this: 2ft------x-------2ft, so s=2+x+2=x+4 is the side of the bigger square. The area of the garden and the sidewalk can be found by finding the area of the big square, they told us that was: 196 Your problem to solve is: + or - (We can ignore the because that would give you a - dimension.) x was the side of the garden, so the dimensions of the garden would be: Happy Calculating!!!
 Linear-equations/54439: 9x+14=41 3x-4=111 solutions Answer 36690 by funmath(2925)   on 2006-10-03 10:03:55 (Show Source): You can put this solution on YOUR website!We need to get x all by itself on one side of the = sign within the rules of algebra. Whatever you do to one side of the equal sign, you have to do to the other. 9x+14=41 (14 doesn't have an x, so we need to move it. It's being added, so subtract it from both sides of the equal sign.) 9x+14-14=41-14 9x+0=27 9x=27 (x is being multiplied by 9, so we divide 9 on both sides. 9x/9=27/9 1x=3 Check by substituting x=3 back into the original equation to see if both sides equal. 9(3)+14=41 27+14=41 41=41 We're right!!!! : 3x-4=11 (4 doesn't have an x so we add it to both sides of the equal sign.) 3x-4+4=11+4 3x+0=15 3x=15 (x is being multiplied by 3, so divide both sides of the equation by 3.) 3x/3=15/3 1x=5 Check you answer by substituting x=5 into the original equation and see if both sides equal. 3(5)-4=11 15-4=11 11=11 Right again!!! Happy Calculating!!!
 Linear-systems/54435: Please help. I don't understand this. Solve the following system by substitution. If a unique solution does not exist, state whether the system is inconsistent or dependent. 4x – 12y = 5 and -x + 3y = -11 solutions Answer 36686 by funmath(2925)   on 2006-10-03 07:07:15 (Show Source): You can put this solution on YOUR website!L1) 4x-12y=5 L2) -x+3y=-1 --------- Solve L2) for x because that's the easiest one in which to isolate a variable. -x+3y=-1 -x+3y-3y=-3y-1 -x=-3y-1 -(-x)=-(-3y-1) x=3y+1 Substitute this value for x in L1) and solve for y. 4(3y+1)-12y=5 12y+4-12y=5 (12-12)y+4=5 0+4=5 4=5 We can't solve for y and 4 does not = 5, so this system is:. It has no solution because the lines have no points in common. Graphically, they would be parallel lines that never intersect. If we got something that could not be solved for y but was true like 0=0 that would be dependent. Happy Calculating!!!
 Coordinate-system/54386: This question is from textbook Beginning Algebra Can someone help me on this problem I need to find the slope of the lines graphed. Hope you will be able to pull up the problem from the above information. Thanks, Ashley1 solutions Answer 36682 by funmath(2925)   on 2006-10-02 23:40:08 (Show Source): You can put this solution on YOUR website!Most tutors don't have your book. Slope = rise/run. Pick a point on the graph then go up or down + if up and - if down (rise)so many units then go right (run) until you touch the line again. slope=m=rise/run Hope that helps!
 Equations/54368: This question is from textbook SAXON MATH 87 How do you solve this problem?1 solutions Answer 36681 by funmath(2925)   on 2006-10-02 23:35:18 (Show Source): You can put this solution on YOUR website!Most of the tutors don't have your book. Please type in your directions and problem so that we can help.
 Evaluation_Word_Problems/54422: This question is from textbook MathMatters 3 Instructions: Write eac phrase as a numerical expression. Use "n" as a number. question 29. seven less than five times a number1 solutions Answer 36680 by funmath(2925)   on 2006-10-02 23:28:56 (Show Source): You can put this solution on YOUR website!seven less (-7) than five (5) times (*) a number (n) Happy Calculating!!!
 expressions/54381: Write each fraction in simplest form: -15x^3y^3 over -20xy^4 Thanx1 solutions Answer 36675 by funmath(2925)   on 2006-10-02 22:11:20 (Show Source): You can put this solution on YOUR website!The rules you will be using are: and Happy Calculating!!!
 absolute-value/54408: This question is from textbook ALGEBRA AND TRIGOONMETRY The figure shows the graphs of f(x)=x^3 and g(x)=ax^3. What can you conclude about the value of a? a<-1 0 11 solutions Answer 36671 by funmath(2925)   on 2006-10-02 22:02:58 (Show Source): You can put this solution on YOUR website!I don't have your figure, but I can help you figure it out: Here's the graph of the figure if a is positive a>0: Here's the graph of the figure if a is negative a<0: Hope that helps!!!
 Polynomials-and-rational-expressions/54411: This question is from textbook algebra and trigonometry PLEASE HELP ME WITH THIS PROBLEM : Find a polynominal with leading coefficient 1 and degree 3 that has -1, 1, and 3 as roots. 1 solutions Answer 36666 by funmath(2925)   on 2006-10-02 21:51:21 (Show Source): You can put this solution on YOUR website!The roots are -1,1,and 3 and the degree is 3. (x=1)(x-1)(x-3)=0 when x=-1,1, or 3 Expand: Happy Calculating!!!
 Systems-of-equations/54395: -4/9(2x-4)=481 solutions Answer 36658 by funmath(2925)   on 2006-10-02 21:43:16 (Show Source): You can put this solution on YOUR website!The whole left side of the equation is being multiplied by -4/9, so we can divide both sides by -4/9 to get rid of it. When we divide a fraction, we multiply by the reciprocal (upside down in this case -9/4): (36/36=1 it didn't magically disappear.) Happy Calculating!!!
 Polynomials-and-rational-expressions/54397: HELP!! Write the expression in simplest form: 4r^2-25s^2 over 2r^2+3rs-20s^2 Thank you so much!!1 solutions Answer 36652 by funmath(2925)   on 2006-10-02 21:31:34 (Show Source): You can put this solution on YOUR website!Factor the top and bottom and cancel everything that matches between the top and the bottom (otherwise known as the numerator and denominator). Special Factoring Pattern: so the expression can be written as: Happy Calculating!!!
 Graphs/54388: This question is from textbook College Algebra Write the standard from of the equation and the general form of the equation of each circle of radius r and center (h,k);graph each circle. The problem says: r=4; (h,k)=(2,-3)1 solutions Answer 36640 by funmath(2925)   on 2006-10-02 21:12:38 (Show Source): You can put this solution on YOUR website!Standard Form of the Equation of a Circle: Where (h,k) are the center of the cicle and r is the radius. Your center is (2,-3) and r=4 General Form of the equation of the circle: Expand the standard form and put it in order: Happy Calculating!!!
 Equations/54284: A manufacturer maintains a supply of a key part used in the production of their product by purchasing the part form two different suppliers-A and B because this is a key component and they want to maintain a good relationshop with both suppliers, the warehouse inventory is monitored regularly. Currently there are 854 units part in the warehouse of which there are 472 more from supplier A than there are from supplier B. How many in the warehouse are from supplier B?1 solutions Answer 36633 by funmath(2925)   on 2006-10-02 20:53:47 (Show Source): You can put this solution on YOUR website!Units from B=x Units from A=x+472 Total number of units=854 Problem to solve: x+(x+472)=854 2x+472=854 2x+472-472=854-472 2x=382 2x/2=382/2 x=191 The units from B: You didn't ask, but The Units from A:x+472=191+472=663 Happy Calculating!!!
 Linear-equations/54385: Can someone help me work out this problem? I need to graph the following equation y = 3/4x + 2 You have a graph from the top in the middle is y on the line going through the middle and on the right side is the x Can you graph this problem? Thanks, Ashley1 solutions Answer 36629 by funmath(2925)   on 2006-10-02 19:41:20 (Show Source): You can put this solution on YOUR website!This equation is in slope intercept where m=slope= and (0,b)=y-intercept (where the line crosses the y-axis). has a y-intercept (0,b)=(0,2) and slope=m=3/4. Plot (0,2) from that point use your slope m=3/4 and rise up 3 and run right 4. Plot your second point there. (It should be (4,4) if you did it right.) Connect the dots and you have a graph that looks like: Happy Calculating!!!
 Miscellaneous_Word_Problems/54180: This question is from textbook strategies for problem solving workbook A rod of 5 m at 6c grows to 5.006 m when the temperature is raised to 48c. Find the coeffcient of volumetric expansion of the unknown composing the rod.1 solutions Answer 36628 by funmath(2925)   on 2006-10-02 18:21:50 (Show Source): You can put this solution on YOUR website!The formula you need to use is =Length final(L2)- length initial(L1) =Temperature final(T2) - Temperature initial(T1) = the coefficient of linear expansion L1=5.00m =delta (I don't have a triangle delta, sorry)and =alpha in greek Solve the equation for alpha Happy Calculating!!!