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# Recent problems solved by 'ewatrrr'

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 Expressions-with-variables/650814: 3a - 3b + 4a1 solutions Answer 407422 by ewatrrr(10682)   on 2012-09-13 11:25:18 (Show Source): You can put this solution on YOUR website! ``` Hi, combining Like Terms 3a - 3b + 4a ```
 Quadratic_Equations/650811: Factor out each of the trinomials completely . Indecate any that are not factorable using integers 8x^2-30x+7 1 solutions Answer 407419 by ewatrrr(10682)   on 2012-09-13 11:23:57 (Show Source): You can put this solution on YOUR website! ``` Hi, Factoring 8x^2-30x+7 (4x - 1)(2x - 7) check Factoring using FOIL F First terms 8x^2 O Outside terms -28x I Inside terms -2x |Sum of outside terms + inside terms = -30x L Last terms 7 ```
 Mixture_Word_Problems/650788: With the old combine, Nikitas entire wheat crop can be harvested in 60 hours, but a new combine can do the same job in 20 hours. How many hours would it take to harvest the crop with both combines operating? 1 solutions Answer 407417 by ewatrrr(10682)   on 2012-09-13 11:20:09 (Show Source): You can put this solution on YOUR website! ``` Hi, old combine, crop can be harvested in 60 hours, new combine can do the same job in 20 hours. How many hours would it take to harvest the crop with both combines operating? PER hour KEY 1/60 + 1/20 = 1/x |Multiplying thru by 60x so as all denominators = 1 x + 3x = 60 4x = 60 x = 15hrs it would take with both combines operating ```
 percentage/650778: find the original price of a pair of shoes if the sale price is \$56 after a 60% discount1 solutions Answer 407414 by ewatrrr(10682)   on 2012-09-13 11:07:31 (Show Source): You can put this solution on YOUR website! ``` Hi, find the original price of a pair of shoes if the sale price is \$56 after a 60% discount P - .60P = \$56 P(1-.60) = \$56 P = \$56/.40 ```
 Polynomials-and-rational-expressions/650786: Give the excluded value(s) for the fraction -7/x^2-2x-151 solutions Answer 407412 by ewatrrr(10682)   on 2012-09-13 11:03:25 (Show Source): You can put this solution on YOUR website! ``` Hi, Denominator CANNOT be ZERO x ≠ 5 and x ≠ -3 Check Factoring Using FOIL F First terms O Outside terms I Inside terms L Last terms ```
 Linear-systems/650787: what is the solution? 2x+5y=34 x+2y=14 a:x=-26; y=20 b:x=2; y=6 c:x=3 y=5.5 d:x=10;y=21 solutions Answer 407410 by ewatrrr(10682)   on 2012-09-13 10:53:22 (Show Source): You can put this solution on YOUR website! ``` Hi, 2x+5y=34 x+2y=14 |||Multiplying 2nd EQ by -2, 2nd and adding to the 1st EQ to eliminate x y = 6 and x = 2 and... ```
 Numbers_Word_Problems/650792: In a 3 digit number,the hundreds digits is 4 more than the units digit and the tens digit is twice the hundreds digit.If hte sum of the digits is 12,find the three digits.write the number.1 solutions Answer 407409 by ewatrrr(10682)   on 2012-09-13 10:44:51 (Show Source): You can put this solution on YOUR website! ``` Hi, 3 digit number hundreds digits is 4 more than the units digit and the tens digit is twice the hundreds digit. units digit x hundreds digits (x+4) tens digit 2(x+4) Question states***sum of the digits is 12 (x+4) + 2(x+4) + x = 12 4x +12 = 12 4x = 0 x = 0 Number is 480 ```
 Complex_Numbers/650800: x^3+125=01 solutions Answer 407407 by ewatrrr(10682)   on 2012-09-13 10:36:33 (Show Source): You can put this solution on YOUR website!``` Hi, x^3+125=0 x^3 = -125 x = -5 and ```
 Age_Word_Problems/650803: John is 4 times as old as Bill, and Bill is 1.5 times as old as Sam. If the sum of their ages is 102, how old is Sam?1 solutions Answer 407405 by ewatrrr(10682)   on 2012-09-13 10:34:01 (Show Source): You can put this solution on YOUR website! ``` Hi, John is 4 times as old as Bill, and Bill is 1.5 times as old as Sam's age Sam x Bill 1.5x John 4(1.5x) 0r 6x Question states***the sum of their ages is 102 x + 1.5x + 6x = 102 8.5x = 102 x = 102/8.5 = 12, Sam's age and... ```
 Polynomials-and-rational-expressions/650795: Solve the equation. 4y+5/3 = y-10/21 solutions Answer 407404 by ewatrrr(10682)   on 2012-09-13 10:29:40 (Show Source): You can put this solution on YOUR website! ``` Hi, If you meant | Cross Multiplying to solve 2(4y+5) = 3(y-10) 8y + 10 = 3y - 30 5y = -40 y = -8 and... ```
 Inequalities/650673: Skate land charges a \$50 flat fee for birthday party rental and \$5.50 for each person. Carma has no more than \$200 to spend on her birthday party. Write an inequality to represent this situation? How many people can Carma Invite to her party without exceeding her limit. Justify your answer mathmatically.1 solutions Answer 407402 by ewatrrr(10682)   on 2012-09-13 10:25:35 (Show Source): You can put this solution on YOUR website! ``` Hi, \$50 flat fee for birthday party rental and \$5.50 for each person. Question states***Carma has no more than \$200 to spend on her birthday party. \$50 + \$5.50x ≤ \$200 x ≤ \$150/\$5.50 x ≤ 27.27 How many people can Carma Invite to her party without exceeding her limit. and... = \$198.50 ```
 Inequalities/649187: What is x? 4-2x>7-3x1 solutions Answer 407400 by ewatrrr(10682)   on 2012-09-13 10:15:22 (Show Source): You can put this solution on YOUR website! ``` Hi, Isolating 'x' on one side of the Inequality sign***** 4-2x > 7-3x x > 3 Isolating 'x' on one side of the Inequality sign, allows us to Read the values allowed for x x > 3 and... for example... -4 > -5 ```
 Inequalities/650748: " x is less than or equal to -3" is equivalent to [-3,oo]?1 solutions Answer 407398 by ewatrrr(10682)   on 2012-09-13 10:03:45 (Show Source): You can put this solution on YOUR website!``` Hi, Note: Interval Notation • [ ] a square bracket includes end value listed, • ( ) a round bracket does not Note: round bracket is used for ∞ or −∞ "x ≤ -3 is equivalent to [-3,oo)? NO "x ≤ -3 is equivalent to (−∞,-3] ```
 Inequalities/650749: "x is greater than or equal to 5" is equivalent to [5,oo)?1 solutions Answer 407397 by ewatrrr(10682)   on 2012-09-13 10:01:00 (Show Source): You can put this solution on YOUR website!``` Hi, Note: Interval Notation • [ ] a square bracket includes end value listed, • ( ) a round bracket does not Note: round bracket is used for ∞ or −∞ "x ≥ 5 is equivalent to [5,oo)? Yes ```
 Functions/650207: Use the graph to find the indicated function value. y = f(x). Find f(-3) https://angel.spcollege.edu/AngelUploads/QuestionData/2de6fdb6-6818-4431-b07f-1da62a002fbe/5653156556333722546R.jpg1 solutions Answer 407244 by ewatrrr(10682)   on 2012-09-12 14:29:39 (Show Source): You can put this solution on YOUR website! ``` Hi, Note: Pt(x,y) shown Pt(-3,3) ||| x = -3 and y = 3 which is Pt(-3,3) In the graph f(x) = f(-3) = , which is the y-value of the Ordered pair(x,y) ```
 Graphs/650209: Use the graph of the given function to find any relative maxima and relative minima. f(x) = x3 - 3x2 + 1 https://angel.spcollege.edu/AngelUploads/QuestionData/229ebaa0-8ae3-44dd-bd4c-8574b719efb2/33365W11611533721523.jpg I just don't understand graphs and how to get the maxima/minima1 solutions Answer 407242 by ewatrrr(10682)   on 2012-09-12 14:20:25 (Show Source): You can put this solution on YOUR website! ``` Hi, x^3-3x^2+1 Note where the graph changes directions at the blue high point (0,1) and at the red low point (2,-3) relative maxima is f(0) = 1 and relative minima is f(2) = -3 ```
 Travel_Word_Problems/650161: A ship travels 9 miles in 45 minutes. What is its speed in mph?1 solutions Answer 407224 by ewatrrr(10682)   on 2012-09-12 13:06:25 (Show Source): You can put this solution on YOUR website! ``` Hi, A ship travels 9 miles in 45 minutes. What is its speed in mph? 45/60 = 3/4 hrs ```
 Linear_Algebra/650162: find each value if f(x)=3x+2 and the promblem is f(-5)1 solutions Answer 407222 by ewatrrr(10682)   on 2012-09-12 13:02:46 (Show Source): You can put this solution on YOUR website! ``` Hi, f(x)=3x+2 f(-5)= ```
 Functions/650189: Find the average rate of change of the function from x1 to x2. f(x) = 5x + 7 from x1 = -1 to x2 = 01 solutions Answer 407218 by ewatrrr(10682)   on 2012-09-12 12:54:23 (Show Source): You can put this solution on YOUR website! ``` Hi, f(x) = 5x + 7 from x1 = -1 to x2 = 0 (moving one unit to the right on the x-axis) Using the standard slope-intercept form for an equation of a line y = mx + b where m is the slope and b the y-intercept. slope m = Find the average rate of change of the function f(x) from x1 to x2. ```
 Equations/650180: y1=8x+4(7+x) y2=3(x-3)+10 and y1=y21 solutions Answer 407216 by ewatrrr(10682)   on 2012-09-12 12:45:56 (Show Source): You can put this solution on YOUR website! ``` Hi, y1=8x+4(7+x) y2=3(x-3)+10 and y1=y2 8x + 28 + 4x = 3x-9 + 10 12x + 28 = 3x + 1 9x = -27 x = -3 and... ```
 test/650177: I'm confused with this problem. 6x+2(x-10) > 8x-7 (A) (-infinity, 0) (B) 0 (C) -infinity, infinity. Or (D) 0,infinity thanks for your time!!!1 solutions Answer 407215 by ewatrrr(10682)   on 2012-09-12 12:39:51 (Show Source): You can put this solution on YOUR website!Previously Posted
 Human-and-algebraic-language/650185: Find the intercepts of the circle (x+1)2 + (y-4)2=91 solutions Answer 407213 by ewatrrr(10682)   on 2012-09-12 12:38:51 (Show Source): You can put this solution on YOUR website! ``` Hi, Find the intercepts of the circle (x+1)2 + (y-4)2=9 = 3^2 |Radius of 3 NO x-intercepts, when x = 0, y = 4 ± sqrt(8), (0,1.17) and (0, 6.83) ```
 test/650178: I'm confused with this problem. 6x+2(x-10) > 8x-7 (A) (-infinity, 0) (B) 0 (C) -infinity, infinity. Or (D) 0,infinity thanks for your time!!!1 solutions Answer 407208 by ewatrrr(10682)   on 2012-09-12 12:28:03 (Show Source): You can put this solution on YOUR website! ``` Hi, 6x+2(x-10) > 8x-7 6x + 2x - 20 > 8x - 7 8x - 20 > 8x - 7 -20 > -7 False Statement...There is NO solution ```
 Equations/650143: y1=3x y2= (2x-1) and y1 exceeds y2by21 solutions Answer 407195 by ewatrrr(10682)   on 2012-09-12 10:59:54 (Show Source): You can put this solution on YOUR website! ``` Hi, y1=3x || y1 exceeds y2 by 2 y2= (2x-1) Question states*** = 2x -1 x = 1 y1 = 3 y2 = 1 ```
 Sequences-and-series/650103: The owner of a golf driving range sell discount cards for 1500 yen that are worth 50 yen off the regular price for a bucket of balls. The regular price for a bucket is 300 yen. At least how many buckets would you have to buy in order to pay less, overall, with the discount card option ?1 solutions Answer 407194 by ewatrrr(10682)   on 2012-09-12 10:54:45 (Show Source): You can put this solution on YOUR website! ``` Hi, discount card cost 1500 yen ... 1500/50 = 30 buckets, break even point At least 31 buckets would have to be puchased in order to pay less, overall, with the discount card option ```
 Geometry_Word_Problems/650136: an isosceles triangle has two angles whose measures are equal.If the third angle of the triangle measures 65 degrees what are the measures of the other two equal angles? Write an equation and solve.1 solutions Answer 407191 by ewatrrr(10682)   on 2012-09-12 10:42:23 (Show Source): You can put this solution on YOUR website! ``` Hi, an isosceles triangle has two angles whose measures are equal. If the third angle of the triangle measures 65 degrees what are the measures of the other two equal angles? 65° + 2x = 180° | sum of all angles of a Trinagle = 180° 2x = 115° x = 57.5° ```
 Geometry_Word_Problems/650134: The difference between two numbers is 67? Three times the smaller number plus five times the larger number is 239. what are the numbers? write equation and solve algebraically1 solutions Answer 407189 by ewatrrr(10682)   on 2012-09-12 10:31:11 (Show Source): You can put this solution on YOUR website! ``` Hi, The difference between two numbers and is 67? Three times the smaller number plus five times the larger number is 239. Question states*** y - x = 67 5y + 3x = 239 | multiplying 1st Eq by 3 and addinf to the 2nd to eliminate x 8y = 239 + 201 8y = 440 y = 55 amd x = -12 and... ```
 Quadratic-relations-and-conic-sections/650104: What is the solution of hyperbola 2x^2+2y^2-8x+12y+2=0?1 solutions Answer 407188 by ewatrrr(10682)   on 2012-09-12 10:24:18 (Show Source): You can put this solution on YOUR website! ``` Hi, 2x^2+2y^2-8x+12y+2=0 2(x-2)^2 + 2(y+3)^2 = -2 + 8 + 18 See below descriptions of various conics Standard Form of an Equation of a Circle is where Pt(h,k) is the center and r is the radius Standard Form of an Equation of an Ellipse is where Pt(h,k) is the center. (a variable positioned to correspond with major axis) a and b are the respective vertices distances from center and ±are the foci distances from center: a > b Standard Form of an Equation of an Hyperbola opening up and down is: with C(h,k) and vertices 'b' units up and down from center, 2b the length of the transverse axis Foci units units up and down from center, along x = h & Asymptotes Lines passing thru C(h,k), with slopes m = ± b/a Standard Form of an Equation of an Hyperbola opening right and left is: with C(h,k) and vertices 'a' units right and left of center, 2a the length of the transverse axis Foci are units right and left of center along y = k & Asymptotes Lines passing thru C(h,k), with slopes m = ± b/a the vertex form of a Parabola opening up(a>0) or down(a<0), where(h,k) is the vertex and x = h is the Line of Symmetry The standard form is , where the focus is (h,k + p) and length of the latus rectum is 4p. the vertex form of a Parabola opening right(a>0) or left(a<0), where(h,k) is the vertex and y = k is the Line of Symmetry The standard form is , where the focus is (h +p,k ) and length of the latus rectum is 4p. ```
 Probability-and-statistics/650115: 20.2, 22.4, 30.0, 37.6, 39.8 True or False? These numbers can be used to calculate the standard deviation of the distribution. 1 solutions Answer 407185 by ewatrrr(10682)   on 2012-09-12 10:16:17 (Show Source): You can put this solution on YOUR website! ``` Hi, SD = x m (x-µ) (x-µ)^2 20.2 30 -9.80 96.040 22.4 30 -7.60 57.760 30 30 0.00 0.000 37.6 30 7.60 57.760 39.8 30 9.80 96.040 150 307.600 sum 30.00 sum/4 76.900 Variance ```
 Linear-equations/650130: Find the equation of the line that passes through the point (3,-6) and is parallel to the line 3x+y-10=01 solutions Answer 407184 by ewatrrr(10682)   on 2012-09-12 10:08:14 (Show Source): You can put this solution on YOUR website! ``` Hi, Find the equation of the line that passes through the point (3,-6) and is parallel to the line 3x+y-10=0 0r y = -3x + 10 Using the standard slope-intercept form for an equation of a line y = mx + b where m is the slope and b the y-intercept. m = -3 parallel Lines have identical slopes New Line y = -3x + b | Using Ordered pair(x,y), Pt(3,-6) to solve for b 3= b y = -3x +3 0r 3x + y = 3 ```
 Linear-equations/650131: Find an equation of a line that has an x intercept of 6 and a y intercept of 41 solutions Answer 407182 by ewatrrr(10682)   on 2012-09-12 10:04:04 (Show Source): You can put this solution on YOUR website! ``` Hi, Find an equation of a line that has an x intercept of 6 ,Pt(6,0) and a y intercept of 4 , Pt(0,4) Using the standard slope-intercept form for an equation of a line y = mx + b where m is the slope and b the y-intercept. (6,0) (0,4) m = -4/6 = -2/3 || Line: y = (-2/3)x + b || Using (x,y) Ordered Pair Pt(0,4) to solve for b 4 = b y = (-2/3)x + 4 ```