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# Recent problems solved by 'ewatrrr'

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 Equations/668887: What is the equation of the given line in standard form? Use integer coefficients. y=5/7x-12 A) -5x+7y=-12 B) -5x-7y=-84 C) -5x+7y=-84 D) 5x+7y=-841 solutions Answer 415921 by ewatrrr(10682)   on 2012-10-19 08:37:29 (Show Source): You can put this solution on YOUR website! ``` Hi, Line: y=5/7x-12 |||Multiplying thru by 7 so as all denominators = 1 7y = 5x - 84 5x - 7y = 84 ||The Line in standard form ```
 Travel_Word_Problems/668890: A woman on a bicycle traveled at a constant speed and moved 150 kilometers in 6 hours. What was her speed? Formula: s = d/t 1 solutions Answer 415919 by ewatrrr(10682)   on 2012-10-19 08:34:41 (Show Source): You can put this solution on YOUR website! ``` Hi, A woman on a bicycle traveled at a constant speed and moved 150 kilometers in 6 hours. ```
 Equations/668888: What is the equation of the given line in standard form? Use integer coefficients. y = -6.9x + 5.1 A. -69x + 10y = 51 B. 69x + 10y = 51 C. 69x + 10y = -51 D. -69x + 10y = -51 1 solutions Answer 415918 by ewatrrr(10682)   on 2012-10-19 08:33:07 (Show Source): You can put this solution on YOUR website! ``` Hi, y = -6.9x + 5.1 10y =-69x + 51 69x + 10y = 51 ||Line in standard form ```
 Equations/668886: What is the equation of the line in slope-intercept form? the line perpendicular to y = 1/3x+5 through (2, 1) A) y = 1/3x+7 B) y = -3+7 C) y = 3x+7 D) Y = -1/3x+71 solutions Answer 415916 by ewatrrr(10682)   on 2012-10-19 08:31:38 (Show Source): You can put this solution on YOUR website! ``` Hi, line perpendicular to y = 1/3x+5 through (2, 1) m = -3 y= -3x + b 1 = -3*2 + b ||Using (x,y)ordered pair(2,1) to solve for b 7 = b y = -3x + 7 ```
 Equations/668885: Write the equation in slope-intercept form. What are the slope and y-intercept? This question needs the equation, slope and y-intercept. -11x+9y=-121 solutions Answer 415913 by ewatrrr(10682)   on 2012-10-19 08:28:07 (Show Source): You can put this solution on YOUR website! ``` Hi, Write the equation in slope-intercept form: y = mx + b -11x + 9y = -12 ⇒ y = (11/9)x - 12/9 y-intercept is -12/9= -4/3 ```
 Travel_Word_Problems/668881: Dawn & Julia are running on a jogging trail. Dawn starts running 5 minutes after Julia does. If Julia runs at an average speed of 8 ft/s & Dawn runs at an average speed of 9 ft/s, how many minutes after Dawn starts running will she catch up with Julia?1 solutions Answer 415912 by ewatrrr(10682)   on 2012-10-19 08:25:08 (Show Source): You can put this solution on YOUR website! ``` Hi, Dawn starts running 5 minutes after Julia does. Julia runs at an average speed of 8 ft/s : 480ft/min Dawn runs at an average speed of 9 ft/s : 540ft/min how many minutes after Dawn starts running will she catch up with Julia Translate into an equation: Note: Distance the same for both. D= rt Dawn D = Julia D 540*x = 480(x+5) (60ftpm) x = 2400ft x = 40min ```
 Geometry_proofs/668882: 2/3 and 5/8 are they proportional1 solutions Answer 415911 by ewatrrr(10682)   on 2012-10-19 08:15:20 (Show Source): You can put this solution on YOUR website! ``` Hi, 2/3 and 5/8 are they proportional? check the cross products: & 16 ≠ 15, they are NOT proportional ```
 absolute-value/668861: if x=1+sqrt2+sqrt3,then find the value of 2x^4-8x^3-5x^2+26x-281 solutions Answer 415909 by ewatrrr(10682)   on 2012-10-19 08:07:38 (Show Source): You can put this solution on YOUR website! ``` Hi, f(1+sqrt2+sqrt3) = f(4.1463) f(4.1463)= 2x^4-8x^3-5x^2+26x-28 = 14.702 ```
 Mixture_Word_Problems/668879: a metallurgist has one alloy containing 20% copper and another containing 70% copper. These can be blended to get a mixture between 20 and 70%. a metallurgist has one alloy containing 20% copper and another containing 70% copper. These can be blended to get a mixture between 20 and 70%. use your model to calculate the mixture needed for 50lbs of 40% copper. 1 solutions Answer 415907 by ewatrrr(10682)   on 2012-10-19 07:59:04 (Show Source): You can put this solution on YOUR website! ``` Hi, a metallurgist has one alloy containing 20% copper and another containing 70% copper. These can be blended to get a mixture between 20 and 70%. Create a model to determine how many pounds of each alloy to mix to achieve a given weight and copper percentage: calculate the mixture needed for 50lbs of 40% copper. .50x = .20*50 x = 20lbs 70% and 30lbs 20% ```
 Numeric_Fractions/668547: What is -3 divided by -1/-6 1 solutions Answer 415656 by ewatrrr(10682)   on 2012-10-18 16:25:02 (Show Source): You can put this solution on YOUR website! ``` Hi, ```
 Linear_Equations_And_Systems_Word_Problems/668504: Please help we with this problem, solving equations using systems of equations. Thank you. The perimeter of a tennis court is 228 feet. After a round of tennis, a player's coach estimates that the athlete has run a total of 690 feet, which is equivalent to 7 times the court's length plus four times its width. What are the dimensions of a standard tennis court?1 solutions Answer 415654 by ewatrrr(10682)   on 2012-10-18 16:23:07 (Show Source): You can put this solution on YOUR website! ``` Hi, 2L + 2W = 228 || Mulitplying 1st EQ by -2 and adding to 2nd 7L + 4W = 690 3L = 234 L = 78' and W = 36' ```
 Permutations/668538: please help me!!! How many meals can be created if you choose one item from each of the following categories? Appetizer: Nachos, Artichoke Dip, Veggies & Dip, Entrée: Seafood Sampler, Sirloin Steak, Grilled Chicken, Garlic Alfredo Linguini Dessert: Chocolate Cake, Cheese Cake, Apple Crisp1 solutions Answer 415650 by ewatrrr(10682)   on 2012-10-18 16:16:06 (Show Source): You can put this solution on YOUR website! ``` Hi, 3 Appetizers 4 Entrées 3 Desserts How many meals can be created if you choose one item from each of the following categories? ```
 Functions/668510: Please help me solve this equation: Find the domain of f, if f(x)=x=1 over x^3-4x The answer is: All real numbers except -2, 0, and 2 1 solutions Answer 415617 by ewatrrr(10682)   on 2012-10-18 15:23:05 (Show Source): You can put this solution on YOUR website! ``` Hi, Denominator x(x^2 - 4) CANNOT = 0 this happens IF x = -2, 0, 2 Therefore Domain is All real numbers except -2, 0, and 2 ```
 Travel_Word_Problems/668507: A boat travels at an average speed 15km/h in still water. The boat travels 12km downstream in the same time as it travels 8km upstream. Determine the average speed of the current.1 solutions Answer 415613 by ewatrrr(10682)   on 2012-10-18 15:18:12 (Show Source): You can put this solution on YOUR website! ``` Hi, A boat travels at an average speed 15km/h in still water. The boat travels 12km downstream in the same time as it travels 8km upstream. | Cross Multiply to solve for c 4(15-c) = 40 15-c = 10, c = 5kmph ```
 Permutations/668494: What is the fourth term in the expression of (3x-2)2? <----- ("2" is an exponet)1 solutions Answer 415603 by ewatrrr(10682)   on 2012-10-18 15:10:53 (Show Source): You can put this solution on YOUR website! ``` Hi, What is the fourth term in the expression of (3x-2)^2 = 9x^2 -12x + 4 ||this expression has three terms (n=2, n+1 = 3) ```
 Inverses/668498: Express how the graph of f can be obtained from the graph of y=1/x f(x)=- 1 -2 x+1 The graph can be obtained from y=1/x by reflecting it across the x-axis and shifting it how? a- 1 unit to the right, 2 unit(s) down b- 1 unit to the left, 2 unit(s) up c- 1 unit to the right, 2 unit(s) up d- 1 unit to the left, 2 unit(s) down 1 solutions Answer 415593 by ewatrrr(10682)   on 2012-10-18 14:58:57 (Show Source): You can put this solution on YOUR website! ``` Hi, Not clear what this is...IF Purple f(x)=- 1 -2 x+1 Below: y = 1/x Green, f = -1/x Blue ```
 Inverses/668489: Describe how the graph of g(x)=³√x -6 can be obtained from the graph of f(x)=³√x. Then graph the function g(x). How the graph of g(x)=³√x -6 can be obtained from the graph of f(x)=³√x.? a- Shift the graph 6 units left b- Shift the graph 6 units right c- Shift 6 units up d- Shift 6 units down 1 solutions Answer 415588 by ewatrrr(10682)   on 2012-10-18 14:48:40 (Show Source): You can put this solution on YOUR website! ``` Hi, ```
 Quadratic-relations-and-conic-sections/668469: it says, "Identify the curve and find the characteristics listed. then sketch the curve." (x-3)^2/9 + (y+3)^2/16= 1 center vertices foci y^2/16 - x^2/9 = 1 center asymptotes foci hopefully someone can help me 1 solutions Answer 415577 by ewatrrr(10682)   on 2012-10-18 13:54:34 (Show Source): You can put this solution on YOUR website! ``` Hi, Standard Forms are the quidelines 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 (x-3)^2/9 + (y+3)^2/16= 1 C(3,-3), V(0,-3)& V(6,-3), V(3,1) &(3,-7), F(3, -3 + sqrt(7)) and F(3,-3-sqrt(7)) 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 ```
 Quadratic-relations-and-conic-sections/668467: The question states, "Identify the curve and find the characteristics listed. then sketch the curve." x^2 + (y-4)^2= 64 center radius (x+3)^2 + (y+6)^2 = 49 center raidus eccentricity someone help! the book doesnt really explain how to do this?1 solutions Answer 415574 by ewatrrr(10682)   on 2012-10-18 13:39:52 (Show Source): You can put this solution on YOUR website!``` Hi, Standard form is the quideline Standard Form of an Equation of a Circle is where Pt(h,k) is the center and r is the radius x^2 + (y-4)^2= 64 center(0,4) radius = 8 (x+3)^2 + (y+6)^2 = 49 center(-3,-6) radius = 7 eccentricity = 0 · At eccentricity = 0 we get a circle · For 0 < eccentricity < 1 we get an ellipse · for eccentricity = 1 we get a parabola · for eccentricity > 1 we get a hyperbola · for infinite eccentricity we get a line ```
 Money_Word_Problems/668459: Lea had \$134, and Drew had \$180. After both of them spent an equal amount of money shopping, Drew had 3 times as much money as Lea. How much did each of them spend? I thought the equation would look like this: but when I went to check x, it just looked all wrong. 1 solutions Answer 415572 by ewatrrr(10682)   on 2012-10-18 13:24:17 (Show Source): You can put this solution on YOUR website! ``` Hi, Lea had \$134, and Drew had \$180. After both of them spent an equal amount of money shopping, Drew had 3 times as much money as Lea. Translate into an equation: ||Yes, good work. 2x = = 222 x = \$111 and.. ```
 Money_Word_Problems/668457: A sales person earns \$80 for every computer he sells. He earns an additional \$250 for every 10 computers he sells that month. How many computers does he need to sell in order to earn \$2,340 in a month? ..the only thing I could think of was this: 250/80=2,340/x 1 solutions Answer 415570 by ewatrrr(10682)   on 2012-10-18 13:18:57 (Show Source): You can put this solution on YOUR website! ``` Hi, A sales person earns \$80 for every computer he sells. He earns an additional \$250 for every 10 computers he sells that month. Earnings = 80x + 250(x/10) = 2340 105x = 2340 x = 22.3 At least 23. ```
 test/668436: a study indicates that 4% of american teenagers have tattoos. if you randomly sample 30 teenagers what is the probability at most 3 teenagers will have tattoos?1 solutions Answer 415569 by ewatrrr(10682)   on 2012-10-18 13:11:42 (Show Source): You can put this solution on YOUR website! ``` Hi, a study indicates that 4% of american teenagers have tattoos. if you randomly sample 30 teenagers what is the probability at most 3 teenagers will have tattoos? bionomial Probability distribution: P = nCx , p = .04, q = .96 and n = 30 P (x ≤ 3) = P(x=0)+ P(x=1)+ P(x=2) + P(x=3) = .9694 ```
 Permutations/668411: how many license plates can be made consisting of 3 letters and 4 numbers, where the numbers and letters cannot be replaced1 solutions Answer 415566 by ewatrrr(10682)   on 2012-10-18 13:04:22 (Show Source): You can put this solution on YOUR website! ``` Hi, how many license plates can be made consisting of 3 letters and 4 numbers, where the numbers and letters cannot be replaced ```
 Polygons/668454: A regular polygon has 34 sides. whats the size of each interior angle?1 solutions Answer 415565 by ewatrrr(10682)   on 2012-10-18 12:59:19 (Show Source): You can put this solution on YOUR website! ``` Hi, A regular polygon has 34 sides. whats the size of each interior angle? ```
 Probability-and-statistics/668455: a club has 100 members, and 40% of the members have brown hair. Of those with brown hair, 30% are boys. how many boys in the club have brown hair?1 solutions Answer 415564 by ewatrrr(10682)   on 2012-10-18 12:56:24 (Show Source): You can put this solution on YOUR website! ``` Hi, a club has 100 members, and 40% of the members have brown hair. Of those with brown hair, 30% are boys. ```
 Geometry_Word_Problems/668450: The width of a rectangular box is 3 times its height and its length is 2 more than its height. find the dimensions of the box if its volume is 288 cubic inches.1 solutions Answer 415561 by ewatrrr(10682)   on 2012-10-18 12:45:38 (Show Source): You can put this solution on YOUR website! ``` Hi, The width of a rectangular box is 3 times its height and its length is 2 more than its height. its volume is 288 cubic Translate into an equation: lwh = 288 in^3 (x+2)(3x)x = 288 3x^3 + 6x^2 = 288 3x^3 + 6x^2 - 288 = 0 x^3 + 2x^2 -96 = 0 x = 4, one solution using Synthetic Divsion 4 1 2 0 -96 4 24 96 1 6 24 0 results in: x^2 + 6x + 24 with imaginary roots height is 4in, length 6in and width is 12in ```
 Word_Problems_With_Coins/668448: Karla has \$4.60 in nickels and quarters. She has a total of 36 coins. How many nickels does she have? 1 solutions Answer 415559 by ewatrrr(10682)   on 2012-10-18 12:36:54 (Show Source): You can put this solution on YOUR website!``` Hi, total of 36 coins. Karla has \$4.60 in nickels and quarters. Translate into an equation: CENTS makes sense 25x + 5(36-x) = 460¢ 20x = 280 x = 14, number of quarters. There are 22 nickels and... ```
 Probability-and-statistics/668446: if the probability of an event is .46, what is the probability of the complement?1 solutions Answer 415557 by ewatrrr(10682)   on 2012-10-18 12:32:30 (Show Source): You can put this solution on YOUR website!``` Hi, if the probability of an event is .46 what is the probability of the complement? 1 - .46 = .54 ```
 Linear-systems/668441: Hello my name is Sarah I was here yesterday and you guys did me a big favor!! but now all I have is 5 more problems. {y=5x 6x-2y=-4 {4x-y=5 x=8-2y {-7x+y=32 2x+3y=27 {2x+y=5 4x-3y=-10 {4x+2y=7 x-5y=10 can i have it y tonight? thanks (:1 solutions Answer 415556 by ewatrrr(10682)   on 2012-10-18 12:23:58 (Show Source): You can put this solution on YOUR website!``` Hi, Important that you learn how to do these: 6x-2y=-4 ||Substitute for y and find x ( then y = 5x) ||Substitute for x and find y (then x = 8-2y) 4x-y=5 -7x+y=32 || Multiply 1st EQ by -3 and add to eliminate y (you'll find x =-3 2x+3y=27 2x+y=5 || Multiply 1st EQ by 3 and add to eliminate y (you'll find x =1/2 4x-3y=-10 4x+2y=7 x-5y=10 || Multiply 2nd EQ by -4 and add to eliminate x (you'll find y = -3/2 ```
 Functions/668432: what is the value of the range of the function f(x)= xsquared+2 for the domain value 1/4?...please show work...a lil confused.. my choices are y=2...or y=2 1/4 or y= 2 1/8 or y= 2 1/16...I am thinking it is B. y=2 1/4 but not sure1 solutions Answer 415550 by ewatrrr(10682)   on 2012-10-18 12:09:56 (Show Source): You can put this solution on YOUR website!``` Hi, f(x) = x^2 + 2 f(1/4) = ```
 Numeric_Fractions/668438: what is 6/4 multiply by 4/9 simplified 1 solutions Answer 415547 by ewatrrr(10682)   on 2012-10-18 12:06:48 (Show Source): You can put this solution on YOUR website!``` Hi, ```