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# Recent problems solved by 'Fombitz'

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 Equations/335558: solve the equation 2y+6=5(0.2y+4)-(14-y)1 solutions Answer 240687 by Fombitz(13828)   on 2010-08-27 14:09:13 (Show Source): You can put this solution on YOUR website! True, this is an identity, valid for all .
 Polynomials-and-rational-expressions/335666: Simplify: 4m/5n^3 - n/2m1 solutions Answer 240686 by Fombitz(13828)   on 2010-08-27 14:06:40 (Show Source): You can put this solution on YOUR website! . . .
 Polynomials-and-rational-expressions/335665: Find the exact solution(s) of the system: x^2/4 - y^2 and x= y^2 + 1 a. (4, sqrt3) (4,-sqrt3) (-4, sqrt3) (-4, -sqrt3) b. (4, sqrt3) (-4,sqrt3) c. (2,1) (2, -1) (4, -sqrt3) d. (4, sqrt3) (4,-sqrt3)1 solutions Answer 240685 by Fombitz(13828)   on 2010-08-27 14:03:10 (Show Source): You can put this solution on YOUR website!Your first equation is incomplete. Please re-post.
 Rational-functions/335661: what direction would the graph of y = | x + 5 | -1 open ?1 solutions Answer 240684 by Fombitz(13828)   on 2010-08-27 14:01:27 (Show Source): You can put this solution on YOUR website!Upwards, it's controlled by the sign of the coefficient of the absolute value term. Positive opens upwards, negative opens downwards. . . .
 Angles/335574: The measure of angle AOC is represented by 7x minus 2, the measure of angle DOC is represented by 2x plus 8, the measure of angle EOD is represented by 27. B is the interior of angle AOC, and angle COB is congruent to angle EOD. Find x1 solutions Answer 240683 by Fombitz(13828)   on 2010-08-27 13:58:17 (Show Source): You can put this solution on YOUR website!Do you have a diagram or can you adequately describe the relationshipe between A,B,C,D,E, and O?
 Equations/335659: The sum of two consecutive numbers is 49. What is the less number?1 solutions Answer 240682 by Fombitz(13828)   on 2010-08-27 13:56:41 (Show Source):
 Linear_Equations_And_Systems_Word_Problems/335669: Determine the constant that should be added to the binomial so that it becomes a perfect square trinomial. Then write and factor the trinomial. x^2+1/6x1 solutions Answer 240680 by Fombitz(13828)   on 2010-08-27 13:55:45 (Show Source): You can put this solution on YOUR website!Take of the x coefficient and square it. . . .
 Quadratic-relations-and-conic-sections/335670: Write an equation for an ellipse if the endpoints of the major axis are at (-8,1) and the endpoints of the minor axis are at (o,-1) and (0,3)1 solutions Answer 240679 by Fombitz(13828)   on 2010-08-27 13:54:14 (Show Source): You can put this solution on YOUR website!You only have one endpoint for the major axis. Please re-post.
 Complex_Numbers/335672: express the result in standard form 2i/1+i 1 solutions Answer 240678 by Fombitz(13828)   on 2010-08-27 13:53:09 (Show Source):
 Money_Word_Problems/335655: My husband and I want to save for a boat. We estimate that we will need about \$4,500.00 in 7 years. Our bank is offering a 2% interest rate compounded semiannually. How much would we need to deposit now in order to have \$4,500.00 in 7 years.1 solutions Answer 240676 by Fombitz(13828)   on 2010-08-27 13:50:06 (Show Source): You can put this solution on YOUR website! . . .
 Equations/335653: 7. The sum of three consecutive even numbers is 30. What is the greatest of the three even numbers?1 solutions Answer 240674 by Fombitz(13828)   on 2010-08-27 13:47:18 (Show Source):
 Quadratic_Equations/335690: I am looking at an example of a quadratic equation x^2 - 4x - 7 =0 using the quadratic formula I come up with 4 (+or-)(-4^2-4(1)(-7))/2 the instructor simplified this to x = 4(+or-)2(11^1/2) I don't see where the number 11 came from or how the 2 was pulled out of the square can someone explain. I will have a similar question to this according to the teacher in a quiz next week and I need to understand this. Thank-you.1 solutions Answer 240673 by Fombitz(13828)   on 2010-08-27 13:45:50 (Show Source):
 Travel_Word_Problems/335648: I have been having trouble solving theses two problems. (x/3)+ 2 = x / 6 a+4 / 2 = a+4 / a Please show the steps so, I can try to work it out again for myself. Thank you.1 solutions Answer 240671 by Fombitz(13828)   on 2010-08-27 13:43:44 (Show Source): You can put this solution on YOUR website! Multiply both sides by to eliminate fractions. Take it from there to solve for x. . . . Divide both sides by , then multiply both sides by .
 Angles/335625: the measure of a complement of an angle is 10 less that 3 times the measure of the angle. Find the measure of the angle, its complement and supplement. 1 solutions Answer 240670 by Fombitz(13828)   on 2010-08-27 13:40:51 (Show Source): You can put this solution on YOUR website! Substitute, <-- Angle <-- Complement <-- Supplement
 Linear-systems/335640: Please help me understand how to solve these equations by the addition method. Many thanks. 2x = 2-y 3x + y = -11 solutions Answer 240667 by Fombitz(13828)   on 2010-08-27 13:39:10 (Show Source): You can put this solution on YOUR website! 1. 2. Add eq. 1 and eq. 2 to eliminate , Then use either equation to solve for .
 Rectangles/335639: The area of a retangle is 126 squre inches, and the perimeter is 50 inches. What are the dimensions of the rectangle?1 solutions Answer 240665 by Fombitz(13828)   on 2010-08-27 13:35:46 (Show Source): You can put this solution on YOUR website!For a rectangle, the area is, 1. and the perimeter is, 2. From eq. 1, Substitute into eq. 2, Two solutions: Then . . . . . . The rectangle is 7in x 18in.
 Graphs/335673: Graph each equation: y= -x^2 + 2x - 1 x= -y^2 + 2y - 11 solutions Answer 240664 by Fombitz(13828)   on 2010-08-27 13:26:07 (Show Source): You can put this solution on YOUR website! . . . . . . . . .
 Trigonometry-basics/335680: I am stuck in the following problem and will appreciate an explanation for it. Thanks for your help. :-) **Find a rectangular equation equivalent to r=sin(2θ)1 solutions Answer 240663 by Fombitz(13828)   on 2010-08-27 13:22:19 (Show Source): You can put this solution on YOUR website!Substiute . . . . . .
 Miscellaneous_Word_Problems/335635: Noam walks home from school by walking 8 blocks north and then 6 blocks east. How much shorter would his walk be if there were a direct path from the school to his house? Assume that the blocks are square.1 solutions Answer 240642 by Fombitz(13828)   on 2010-08-27 11:27:42 (Show Source): You can put this solution on YOUR website!The blocks form the legs of a right triangle. The most direct route would be the hypotenuse of the right triangle. Use the Pythagorean theorem, He now walks 14 blocks, he could walk 10 blocks saving 4 blocks of walking.
 decimal-numbers/335633: Simplify this to a single decimal number: 25/36 1 solutions Answer 240641 by Fombitz(13828)   on 2010-08-27 11:25:20 (Show Source): You can put this solution on YOUR website!Use your calculator. 25/36=0.6944444...
 Linear-systems/335626: 8x-7y=21 8x-7y=-71 solutions Answer 240640 by Fombitz(13828)   on 2010-08-27 11:24:44 (Show Source): You can put this solution on YOUR website!1. 2. Set eq. 1 equal to eq. 2, False, your equations lead to an inconsistency. There is no solution. The two lines are parallel and never meet.
 Polynomials-and-rational-expressions/335631: Find a polynomial for the sum of the areas of the circles shown in the figure (leave answers in terms of pi): circle 1 r = r circle 2 r = 3 circle 3 r = 2 I have worked the problem this far: Area of A + Area of B + Area of C = pi * r^2 + pi * 27 + pi * 4 = Now I'm lost and here is the answer I get: pi^3 + 108 + r^2 Please help. 1 solutions Answer 240639 by Fombitz(13828)   on 2010-08-27 11:22:57 (Show Source): You can put this solution on YOUR website!You're good until the last line. First name the polynomial, how about A for area.
 Complex_Numbers/335629: (1/m-3)-(4/m)/(3/m-3)+(1/m)1 solutions Answer 240637 by Fombitz(13828)   on 2010-08-27 11:19:47 (Show Source): You can put this solution on YOUR website! Use the commmon denominator , . . . . . .
 Linear-systems/335627: Solve the below system of linear equations 7x+6y=-48 x-3y=-31 solutions Answer 240635 by Fombitz(13828)   on 2010-08-27 11:13:22 (Show Source): You can put this solution on YOUR website!1. 2. Multiply eq. 2 by and add the equations together, Then use either equation to solve for .
 test/335532: On a weekend trip you average 35 miles per hour in the city and 60 miles per hour on the highway. If the 150 mile trip took 3 hours how much of the time were you droning in the city1 solutions Answer 240634 by Fombitz(13828)   on 2010-08-27 11:11:14 (Show Source): You can put this solution on YOUR website!Rate*Time=Distance . . . In the city, . . . On the highway, . . . 1. . . 2. From eq. 2, Substitute into eq. 1, hr minutes
 Triangles/335623: if the sides of a triangle are represented by 2x, 3x, and 4x, and the perimeter of the triangle is 27 feet, what is the longest side of the triangle.1 solutions Answer 240631 by Fombitz(13828)   on 2010-08-27 11:06:12 (Show Source): You can put this solution on YOUR website! . . . ft
 Linear-systems/335624: 9x+7y=56 x=71 solutions Answer 240630 by Fombitz(13828)   on 2010-08-27 11:05:39 (Show Source): You can put this solution on YOUR website!1. 2. Directly substitute eq. 2 into eq. 1, . . . (,)
 Geometry_proofs/335349: is it always, sometimes, or never true that if M is between A and B, then M bisects line segments AB 1 solutions Answer 240629 by Fombitz(13828)   on 2010-08-27 11:04:05 (Show Source): You can put this solution on YOUR website!Only sometimes, if M is just any point on the line AB, it can be anywhere, not necessarily in the exact middle.
 Expressions-with-variables/335350: Solve the following systems of equations using substitution. 3x-2y=-3 25x+10y=2151 solutions Answer 240628 by Fombitz(13828)   on 2010-08-27 11:03:00 (Show Source): You can put this solution on YOUR website!1. 2. From eq. 1, Substitute into eq. 2, Then from eq. 1,
 Rectangles/335351: please help me with this question: A rectangle of area 350 square feet is 14 times as wide as it is long. find its length and width.1 solutions Answer 240627 by Fombitz(13828)   on 2010-08-27 11:01:25 (Show Source): You can put this solution on YOUR website!The area of a rectangle is, . . . Substitute into the area equation, ft Then from above, ft
 decimal-numbers/335352: List in order from least to greatest: 0.057, 0.05, 0.131 solutions Answer 240626 by Fombitz(13828)   on 2010-08-27 10:59:54 (Show Source): You can put this solution on YOUR website!0.05 0.057 0.13