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# Recent problems solved by 'Fombitz'

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 Rectangles/340062: if the area of a rectangle is 4 feet squared and the length is 5 feet, what is the width?1 solutions Answer 243948 by Fombitz(13828)   on 2010-09-08 14:30:01 (Show Source): You can put this solution on YOUR website!For a rectangle, . . . Substitute, foot
 Money_Word_Problems/340424: The average of the salaries of Kelly, Renee and Nina is 20,000 a year. If Kelly earns 4000 less than Renee and Nina's salary is two-thirds of Renee's salary, find the salary of each person. I've tried setting up as follows; Let R = Renee Let R - 4000 = Kelly Let 2/3 * R = Nina R + ( R - 4000 ) + 2/3 * R = 20,000 It's not working out for me though. Anyone have any thoughts?1 solutions Answer 243946 by Fombitz(13828)   on 2010-09-08 14:28:52 (Show Source): You can put this solution on YOUR website!You're on the right track. However there is one mistake. The average is, . . . Multiply both sides by .
 Functions/339989: composition of functions Given: f(x)= 2/x (fof)(x) so far i have (fof)(x)=f(f(2/x))=f(2/x)=2/2/x however i need to slipify this farther and do not know how. 1 solutions Answer 243944 by Fombitz(13828)   on 2010-09-08 14:26:10 (Show Source): You can put this solution on YOUR website!Dividing by a fraction is the same as multiplying by its reciprocal.
 Rational-functions/340191: please explain this equation in slope intercept form for the line that cintains the given point and is perpendicular to the given point(4,-3),-4x+y=-7 1 solutions Answer 243943 by Fombitz(13828)   on 2010-09-08 14:24:58 (Show Source): You can put this solution on YOUR website! Convert the equation to slope-intercept form, where is the slope. Perpendicular lines have slopes that are negative reciprocals. The second line has the form, Use the point (,) to solve for . . . . . . .
 Angles/339991: Fine the measure of angle T if the measure of angle T is 20 more than 4 times it's supplement1 solutions Answer 243941 by Fombitz(13828)   on 2010-09-08 14:20:44 (Show Source): You can put this solution on YOUR website!1. 2. Substitute eq. 2 into eq. 1,
 Age_Word_Problems/340422: Brad is presently 6 years older than Pedro. Five years ago Pedro's age was three-fourths of Brad's age at that time. Find the present ages of Brad and Pedro. I've tried setting up the problem like this - Let x = Pedro Let ( x + 6 ) = Brad x - 5 = 3/4 (x+6) - 5 Obviously I'm doing something wrong though. Can anyone help?1 solutions Answer 243937 by Fombitz(13828)   on 2010-09-08 14:12:29 (Show Source): You can put this solution on YOUR website! Five years ago, Pedro was , but Brad was . Then take of his age.
 Numeric_Fractions/340346: What is: 4 2/3 - 7/15 + 3 4/5?1 solutions Answer 243936 by Fombitz(13828)   on 2010-09-08 14:05:23 (Show Source): You can put this solution on YOUR website!Convert the mixed numbers to fractions. Then find a common denominator. . . . Common denominator:
 Mixture_Word_Problems/340234: How many gallons of 80% antifreeze solution must be mixed with 90 gallons of 25% antifreeze to get a mixture that is 70% antifreeze?1 solutions Answer 243934 by Fombitz(13828)   on 2010-09-08 14:00:56 (Show Source): You can put this solution on YOUR website!Let be the amount of 80% solution. gallons
 Average/340418: Is 3xy + 2y + 15z - 20 = 0 a linear equation? If not, why not?1 solutions Answer 243933 by Fombitz(13828)   on 2010-09-08 13:59:23 (Show Source): You can put this solution on YOUR website!No, because of the product term . All of the other are linear terms.
 Quadratic_Equations/340182: Please help me find the x and y intercept for a circle,and if you can the center point and radius: 1 solutions Answer 243932 by Fombitz(13828)   on 2010-09-08 13:58:41 (Show Source): You can put this solution on YOUR website!Complete the square in and . Compare to the equation of a circle centered at (,) with radius .
 Travel_Word_Problems/340417: Eric is piloting a hot air balloon and drifted 12 miles north,,9 miles west,22 miles south, 3 miles east, and 5 miles south.How many miles does Eric need to turn N,E,S,W to return back to his landing site?1 solutions Answer 243930 by Fombitz(13828)   on 2010-09-08 13:53:08 (Show Source): You can put this solution on YOUR website!Let North be positive y, South negative y. Let East be positive x, West negative x. Eric starts at (0,0). 12 miles N: (0,0)+(0,12)=(0,12) 9 miles W:(0,12)+(-9,0)=(-9,12) 22 miles S:(-9,12)+(0,-22)=(-9,-10) 3 miles E:(-9,-10)+(3,0)=(-6,-10) 5 miles S:(-6,-10)+(0,-5)=(-6,-15) In otder to return to his starting point, (-6,-15)+(X,Y)=(0,0) . . . X=6 miles East Y=15 miles North
 Quadratic_Equations/340334: Hi, What is 4/(m^2-7) = 1 ? Thanks.1 solutions Answer 243929 by Fombitz(13828)   on 2010-09-08 13:49:23 (Show Source): You can put this solution on YOUR website!It's an equation. . . . Are you looking for a solution? Take the square root of both sides to get your answer.
 Numeric_Fractions/340333: What is: 3/5x = 48?1 solutions Answer 243928 by Fombitz(13828)   on 2010-09-08 13:48:08 (Show Source): You can put this solution on YOUR website! Multiply both sides by . Now divide both sides by .
 Distributive-associative-commutative-properties/340330: How do you factor c^2-6c(a-c)+9(a-c)^2? I keep coming up with (3a-4c)^2 but the answer book says I am wrong.1 solutions Answer 243924 by Fombitz(13828)   on 2010-09-08 13:43:46 (Show Source): You can put this solution on YOUR website! I get the same answer. Something's up with your book.
 Graphs/340408: I cannot differentiate between different forms of interval writing. What is interval writing and how do I know which brackets to use or what number goes where when I write out an answer? For example, 0 < 5-2x.1 solutions Answer 243921 by Fombitz(13828)   on 2010-09-08 13:36:06 (Show Source): You can put this solution on YOUR website!When the inequality does not include an "=" sign, then the solution will not contain the interval endpoint, so then you would use a set of parentheses. . . . Example: So the interval includes all numbers less than but not . In interval notation that would be, (,) . . . When the inequality does contain an "=" sign, then the solution would include the interval endpoint, so then you would use a bracket. . . . Example: In interval notation, (,] . . . And finally for a compound inequality, Example: The one side you already solved, The other side is, Putting those two together, (,) Then look at all of the variations with the different inequality signs, : (,) : [,) : [,] : (,]
 Numbers_Word_Problems/340390: Find three consecutive even integers such that 6 times the sum of the first and the third is 8 less than 14 times the second. I do not understand how to solve this problem.1 solutions Answer 243918 by Fombitz(13828)   on 2010-09-08 13:26:38 (Show Source): You can put this solution on YOUR website!Three consecutive even integers would be , , and . Find three consecutive even integers such that "6 times the sum of the first and the third"" "is" translates to "=" "8 less than 14 times the second": . . . Solve for . Then find and .
 Geometry_Word_Problems/340313: If each edge of cube M with a unit length of 3 is increased by 50%, creating a second cube B, then what is the volume of cube B? (a) 20.5 (b) 36 (c) 64 (d) 91.125 (e) 216 1 solutions Answer 243911 by Fombitz(13828)   on 2010-09-08 13:12:55 (Show Source):
 Inequalities/340377: x-6/2 + x-5/3 = 3/21 solutions Answer 243875 by Fombitz(13828)   on 2010-09-08 11:18:07 (Show Source): You can put this solution on YOUR website!Multiply both sides by .
 Square-cubic-other-roots/340379: what is the cube root of -216 1 solutions Answer 243874 by Fombitz(13828)   on 2010-09-08 11:15:40 (Show Source):
 Polynomials-and-rational-expressions/340348: 1. x^4-81 2. y^4-8y^2-48 3. 8a^3-b^3 4. 25x^2+30x+9 5. x^2+16 how to solve1 solutions Answer 243873 by Fombitz(13828)   on 2010-09-08 11:15:05 (Show Source): You can put this solution on YOUR website!1. where 2. where 3. 4. 5. where
 Equations/340374: solve the equation 3(y-2)=y-6 1 solutions Answer 243872 by Fombitz(13828)   on 2010-09-08 11:09:34 (Show Source):
 Triangles/340302: The base of an isosceles triangle is 3 less than twice the length of one of its sides with equal length. The perimeter of the triangle is 37cm. Find the length of its base. Thank you.1 solutions Answer 243870 by Fombitz(13828)   on 2010-09-08 11:03:17 (Show Source): You can put this solution on YOUR website!Let be the equal length side. Substituting, cm . . . cm
 Length-and-distance/340293: Suppose M is between L and N. Use the Segment Addition Postulate to solve for the variable. Then find the lengths of segments LM, MN, and LN. LM= 1/2z +2 MN= 3z + 3/2 LN= 5z + 21 solutions Answer 243869 by Fombitz(13828)   on 2010-09-08 11:00:53 (Show Source): You can put this solution on YOUR website! Multiply both sides by . . . .
 Polynomials-and-rational-expressions/340370: Solve using the five-step problem-solving process. Show all steps necessary to arrive at your solution. A rectangular platform is 11 feet longer than it is wide. If the area of the platform is 276 square feet, find the length and the width DOES ANYONE KNOW WHO TO SOLVE THIS PROBLEM? DO I MULITIPLY 275 X 11 TO GET THE LENGTH... PLEASE HELP!1 solutions Answer 243868 by Fombitz(13828)   on 2010-09-08 10:58:25 (Show Source): You can put this solution on YOUR website!Define some variables first. -length -width Turn the words into equations. "11 feet longer than it is wide" 1. . . . The area of a rectangle is, 2. Substitute using eq. 1, Factor, Two solutions but only the positive solution makes sense in this case. ft . . . Then from eq. 1, ft
 test/340325: The length of a rectangle is 3cm greater than it's width. If the perimeter is 46cm, what is the length and width? 1 solutions Answer 243867 by Fombitz(13828)   on 2010-09-08 10:53:35 (Show Source): You can put this solution on YOUR website!For a rectangle, . . . Substitute, cm Then from eq. 2, cm
 Angles/340272: Right angle RTS = 8x+18. Find x so that rayTR is perpendicular to rayTS. How do you solve this problem? 1 solutions Answer 243866 by Fombitz(13828)   on 2010-09-08 10:51:02 (Show Source): You can put this solution on YOUR website! Solve for .
 Geometry_Word_Problems/340352: Determine the most precise name for a quadrilateral ABCD with vertices A(0,4), B(3,0), C(0,-4) and D(-3,0)1 solutions Answer 243865 by Fombitz(13828)   on 2010-09-08 10:49:51 (Show Source): You can put this solution on YOUR website!Jimmy? Fred? . . . How about Rhombus, Diamond, Isoceles Trapezoid? . . .
 Inequalities/340273: What is the graph for xy>=0; how would I solve for y in this case? and the graph for y^2>x^2?1 solutions Answer 243864 by Fombitz(13828)   on 2010-09-08 10:45:56 (Show Source): You can put this solution on YOUR website!Think about it. First quadrant, , , Second quadrant, ,, Third quadrant, , , Fourth quadrant, , , Also include the in the first and third quadrant and on the x and y axes. . . . Solve for and That's two lines. . . . Pick points in each region and test the inequality. Since the "=" sign is not included the regions are broken up into 8 regions not just 4 regions, so use the two lines and the two axes to demarcate each region. In the first region, , False, this region is not in the solution region. . . . In the second region, , True, this region is part of the solution region. . . . Continue until you've tested a point in each region. Remember the and axes are not included in the solution region.
 Square-cubic-other-roots/340274: square root of 72x minus the square root of 18x1 solutions Answer 243859 by Fombitz(13828)   on 2010-09-08 10:32:57 (Show Source):
 Probability-and-statistics/340292: evaluate the following determinants [-2,-1,0,-3,5,-2,0,8,-1]1 solutions Answer 243857 by Fombitz(13828)   on 2010-09-08 10:30:13 (Show Source): You can put this solution on YOUR website![A]= . . . det[A]=
 Probability-and-statistics/340290: if set A=(3,4,5,6,7)and set B=(1,2,3,4) (a) what is A U B (B) what is A ∩ B1 solutions Answer 243856 by Fombitz(13828)   on 2010-09-08 10:28:38 (Show Source): You can put this solution on YOUR website! A U B={1,2,3,4,5,6,7} A ∩ B={3,4}