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# Recent problems solved by 'ewatrrr'

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 Linear_Equations_And_Systems_Word_Problems/426548: Identify the equation that describes the line in the slope- intercept form. Slope=5, y-intercept=-3. Which multiple choice answer is it? A. y=5x-3 B. y=3x-5 C. y=x-15 D. y=x+21 solutions Answer 296705 by ewatrrr(10682)   on 2011-03-24 09:57:45 (Show Source): You can put this solution on YOUR website! ``` Hi 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. line in the slope- intercept form with Slope= 5 and y-intercept= -3. y = 5x-3 ```
 Miscellaneous_Word_Problems/426544: To determine the number of deer in a game preserve, a conservationist catches 881 deer, tags them and lets them loose. Later, 438 deer are caught; 219 of them are tagged. How many deer are in the preserve?1 solutions Answer 296704 by ewatrrr(10682)   on 2011-03-24 09:55:38 (Show Source): You can put this solution on YOUR website! ``` Hi 219/438 = .50 Or 50% were found to be tagged (1/2) Originally tagged 881. 881*2 = 1762 deer in the preserve. ```
 Polynomials-and-rational-expressions/426540: State the domain of the given rational expression in set-builder notation. 8x(2) + 1 ______________ 2x(2) - 5x -31 solutions Answer 296703 by ewatrrr(10682)   on 2011-03-24 09:50:53 (Show Source): You can put this solution on YOUR website! ``` Hi (8x^2 + 1)/(2x^2-5x-3) |cannot divide by ZERO 2x^2 -5x - 3 = 0 factoring (2x +1)(x-3) = 0 (2x +1)=0 x = -1/2 (x-3) = 0 x = 3 {x: x ≠ 3 and x ≠ -1/2} the set of all real numbers except 3 and -1/2 ```
 Graphs/426525: 0.3x-y=0 y=2+0.25x solve by emlimination1 solutions Answer 296696 by ewatrrr(10682)   on 2011-03-24 09:22:58 (Show Source): You can put this solution on YOUR website! ``` Hi 0.3x-y=0, y=2+0.25x solving by elimination 0.3x -y = 0 .25x -y = -2 0.3x -y = 0 -.25x +y = 2 .05x = 2 x = 40 and y = 12 (2 + 10) CHECKING our Answer*** .3*40 - 12 = 12 -12 = 0 ```
 Polynomials-and-rational-expressions/426440: I really need your help, Solve....x+5/x+6=x-2/x+4,,,thanks1 solutions Answer 296693 by ewatrrr(10682)   on 2011-03-24 09:14:16 (Show Source): You can put this solution on YOUR website! ``` Hi If I am understanding Your question properly |Cross Multiplying (x+5)(x+4) = (x+6)(x-2) x^2 + 9x + 20 = x^2 +4x - 12 5x = -32 x = -32/5 CHECKING our Answer*** -7/5 / -2/5 = -42/5 / -12/5 = 7/2 ```
 Trigonometry-basics/426444: In a right triangle ABC..AB= 8...B= 32 degrees. Find the value of side a, rounding to the nearest tenth. 1. 4.2 2. 5.4 3. 6.8 4. 7.1 Find the value of side b, rounding to the nearest tenth. 1. 4.2 2. 5.4 3. 6.8 4. 7.11 solutions Answer 296691 by ewatrrr(10682)   on 2011-03-24 08:29:59 (Show Source): You can put this solution on YOUR website! ``` Hi right Triangle ∠B = 32° cos(32°) = adj/hyp 8*cos(32°) = a = 6.8 sin(32°) = opp/hyp 8*sin(32°) = b = 4.2 Note picture for illustration purposes only. (the designation of the sides below is relative to angle A) ```
 Equations/426434: Oatmeal often comes in a container shaped like a cylinder. Suppose the volume V of an oatmeal container is 4,618.1 cubic centimeters. Solve the equation V = pi r^2 h for h. Then find the height h of the container if the radius is 7 centimeters. Round to the nearest tenth. 1 solutions Answer 296689 by ewatrrr(10682)   on 2011-03-24 08:15:53 (Show Source): You can put this solution on YOUR website! ``` Hi V(cylinder) = pi*r^2 h |Note the use of ^ (uppercase 6) r = 7cm V = 4618.1 cm^3 V(cylinder) = pi*r^2 h V/pi*r^2 = h 4618.1/(3.14*49) = h 30.0cm = h (rounded to the nearest tenth) ```
 Linear-equations/426507: A car travelling at 60m/hr left Dehradun at 3pm. One hour later another car travelling at 80km/her started over the same road to overtake the first. How long must the second car travel ?1 solutions Answer 296688 by ewatrrr(10682)   on 2011-03-24 08:06:57 (Show Source): You can put this solution on YOUR website! ``` Hi One hour later another car ... Let x and (x+1)represent the times of the second and first car respectively Question states*** Note: d = r*t, distance the same for both cars 60kmph(x+1) = 80kmph*x |Note: using kmph for both, assuming typo Solving for x 60kmph = 20x 3hr = x , time of the second car traveling 80kmph CHECKING our Answer*** 4hr*60kmph = 80kmph*3hr = 240km ```
 Problems-with-consecutive-odd-even-integers/426506: what is 16/4=12/x1 solutions Answer 296686 by ewatrrr(10682)   on 2011-03-24 08:00:33 (Show Source): You can put this solution on YOUR website! ``` Hi solving for x | Cross Multiplying 16x = 48 x = 3 CHECKING our Answer*** 16/4 = 12/3 = 4 ```
 Rational-functions/426508: 4x^3/2-5=1031 solutions Answer 296685 by ewatrrr(10682)   on 2011-03-24 07:58:29 (Show Source): You can put this solution on YOUR website! ``` Hi Solving for x 4x^3/2-5=103 4x^3/2 = 108 x^3/2 = 27 x = 27^2/3 = x = 9 ```
 Rational-functions/426461: what are the zeros in 3x^4+4x^3-21x^2-10x+24 1 solutions Answer 296684 by ewatrrr(10682)   on 2011-03-24 07:54:19 (Show Source): You can put this solution on YOUR website! ``` Hi what are the zeros in 3x^4+4x^3-21x^2-10x+24 |If x = 1 then 3+4-21+24 = 0 dividing the above by (x-1)results in: 3x^3+7x^2-14x-24 |If x = 2 then 24+28-28-24 = 0 dividing the above by (x-2)results in: 3x^2 + 13x +12 factoring (3x+4)(x+3)=0 (3x+4)= 0 x = -4/3 (x+3)=0 x = -3 the 4 'zeros' for x are: -3,-4/3,1,2 ```
 Quadratic_Equations/426489: Using the General Quadratic Formula: 2x^2-7x+6 1 solutions Answer 296682 by ewatrrr(10682)   on 2011-03-24 07:39:30 (Show Source): You can put this solution on YOUR website! ``` Hi Solving Using the General Quadratic Formula: 2x^2-7x+6 =0 |note general form: ax^2 +bx + c = 0 x = 8/4 = 2 x = 6/4 = 3/2 ```
 Numbers_Word_Problems/426164: Jane is 12 years older than Kate and Kate is Jane's age divided by 3. How old is each girl?1 solutions Answer 296537 by ewatrrr(10682)   on 2011-03-23 17:25:06 (Show Source): You can put this solution on YOUR website! ``` Hi Jane is 12 years older than Kate Let x and (x+12)represent kate and jane's age respectively Question states*** x = (x+12)/3 Solving for x 3x = x+12 2x = 12 x = 6, Kate's age. Jane is 18. (6 + 12) CHECKING our Answer*** 6 = 18/3 ```
 Rectangles/426189: Area= 36 square feet, Perimeter= 26 feet, What Would Be The Length? 1 solutions Answer 296536 by ewatrrr(10682)   on 2011-03-23 17:20:05 (Show Source): You can put this solution on YOUR website! ``` Hi, Previously posted. 2L + 2W = 26FT L = 13-W W*L = 36 FT^2 W(13-W) = 36 13W - W^2 = 36 W^2 -13W + 36 = 0 FACTORING (W- 9)(W-4) = 0 (W- 9)=0 W = 9FT , L = 4FT (W-4)= 0 W = 4FT , L = 9FT ```
 Rectangles/426188: Area= 36 square feet, Perimeter= 26 feet, What Would Be The Width1 solutions Answer 296535 by ewatrrr(10682)   on 2011-03-23 17:17:26 (Show Source): You can put this solution on YOUR website! ``` Hi 2L + 2W = 26FT L = 13-W W*L = 36 FT^2 W(13-W) = 36 13W - W^2 = 36 W^2 -13W + 36 = 0 FACTORING (W- 9)(W-4) = 0 (W- 9)=0 W = 9FT , L = 4FT (W-4)= 0 W = 4FT , L = 9FT ```
 Linear-equations/426186: Write the slope-intercept equation for the line with slope -1/2 and y-intercept (0, 3) and graph the line. Please show all of your work. 1 solutions Answer 296534 by ewatrrr(10682)   on 2011-03-23 17:12:10 (Show Source): You can put this solution on YOUR website! ``` Hi 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. Write the slope-intercept equation for the line: with slope -1/2 and y-intercept (0, 3) y = (-1/2)x + 3 ```
 Average/426180: 6 and x have the same average as 2, 4, and 24. what is x?1 solutions Answer 296532 by ewatrrr(10682)   on 2011-03-23 17:10:00 (Show Source): You can put this solution on YOUR website! ``` Hi (2 + 4 + 24)/3 = 10 (6 + x)/2 = 10 6+x = 20 x = 14 ```
 Quadratic_Equations/426176: solve the linear quadratic system algebraically y= 5-x^2 y= x-151 solutions Answer 296531 by ewatrrr(10682)   on 2011-03-23 17:07:47 (Show Source): You can put this solution on YOUR website! ``` Hi solve the linear-quadratic system algebraically y= 5-x^2 |Note the use of ^ (uppercase 6) y= x-15 x-15 = 5-x^2 x^2 + x - 20 = 0 factoring (x+5)(x-4)=0 Note:SUM of the inner product(5x) and the outer product(-4x) = x (x+5)= 0 x = -5 y = -20 (-5,-20) (x-4)=0 x = 4 y = -11 (4,-11) ```
 Triangles/426165: Is the triangle right, acute, or obtuse? Given the cooridinates J(-2,2), O(-1,-1), N(-4,-2) The distance between JO=sqrt10, ON=sqrt10, JN=sqrt20 1 solutions Answer 296527 by ewatrrr(10682)   on 2011-03-23 17:00:02 (Show Source): You can put this solution on YOUR website! ``` Hi It is a right triangle as the lengths of the sides satisfy the Pythagorean Theorem 10 + 10 = 20 ```
 Travel_Word_Problems/426159: I'M going to a lake that is 60 miles away,an i'm driving 40 mph. how long is it going to take for me to get there?1 solutions Answer 296526 by ewatrrr(10682)   on 2011-03-23 16:52:19 (Show Source): You can put this solution on YOUR website! ``` Hi I'M going to a lake that is 60 miles away,an i'm driving 40 mph how long is it going to take for me to get there? d = r*t OR t = d/r 60mi/40mph = 3/2 hr Or 1 1/2 hrs ```
 Proportions/426166: Find the missing number in the proportion: n/8 = 1/3 Thank you.1 solutions Answer 296523 by ewatrrr(10682)   on 2011-03-23 16:47:04 (Show Source): You can put this solution on YOUR website! ``` Hi solving for n | Cross Multiplying 3n = 8 n = 8/3 OR 2 2/3 ```
 Equations/426163: 2.3a+8.6=-5.2 1 solutions Answer 296522 by ewatrrr(10682)   on 2011-03-23 16:45:41 (Show Source): You can put this solution on YOUR website! ``` Hi 3a+8.6=-5.2 3a = 3.4 a = 1.1333 ```
 Coordinate-system/426150: Match the equation with the description of its graph 2.y=-8 vertical line,horizontal line,slanted line 3.x=15 4.y=x+31 solutions Answer 296521 by ewatrrr(10682)   on 2011-03-23 16:43:44 (Show Source): You can put this solution on YOUR website! ``` Hi 2.y=-8 horizontal line,slanted line 3.x=15 vertical line 4.y=x+3 slanted line ```
 Sequences-and-series/426144: The second term of a geometric series is 24 and the fifth term is 3 a) show that the common ratio of the series is a half b) Find the first term of the series C) Find the sum to infinity of the series1 solutions Answer 296519 by ewatrrr(10682)   on 2011-03-23 16:38:26 (Show Source): You can put this solution on YOUR website! ``` Hi The second term of a geometric series is 24 and the fifth term is 3 Geometric a[5] = (24/r)r^4 = 3 r^3 = 1/8 r = 1/2 = = 48/1/2 = 96 ```
 Quadratic_Equations/426140: Please help me solve this equation: 6x^4-7x^2+2=01 solutions Answer 296518 by ewatrrr(10682)   on 2011-03-23 16:26:26 (Show Source): You can put this solution on YOUR website! ``` Hi 6x^4-7x^2+2=0 Let a = x^2 6a^2 - 7a + 2 = 0 factoring (3a-2)(2a-1)=0 Note:SUM of the inner product(-4a) and the outer product(-3a) = -7a (3a -2)= 0 a = 2/3 (2a-1) = 0 a = 1/2 x^2 = 2/3 x = ± x^2 = 1/2 x = ± ```
 Travel_Word_Problems/426142: You are walking at a rate of 3 miles per hour. Find the distance you travel in 2 hours. Use the distance formula d=rt A) 6 miles B) 2 miles C) 5 miles D) 32 miles 1 solutions Answer 296517 by ewatrrr(10682)   on 2011-03-23 16:19:41 (Show Source): You can put this solution on YOUR website! ``` Hi d = r*t = 3mph*2hr = 6mi ```
 Linear-equations/425610: could someone please show me how to do the problem? find the slope, if it exists y=4x +91 solutions Answer 296515 by ewatrrr(10682)   on 2011-03-23 16:15:58 (Show Source): You can put this solution on YOUR website! ``` Hi 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. find the slope, if it exists y=4x +9 slope m = 4 ```
 Linear-equations/426129: Determine whether each pair of equations represents parallel lines. 3x=5y-2 10y=4-6x1 solutions Answer 296514 by ewatrrr(10682)   on 2011-03-23 16:08:14 (Show Source): You can put this solution on YOUR website! ``` Hi 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. Determine whether each pair of equations represents parallel lines. parallel Lines have identical slopes 3x=5y-2 OR y = (3/5)x + 2/5 10y=4-6x OR y = (-6/10)x + 4/10 OR y = (-3/5)x + 2/5 Lines are NOT parallel ```
 Linear-equations/426130: write an equation of the line parallel to the line y=3/4x-6 and having to y intercept of (0,-2)1 solutions Answer 296513 by ewatrrr(10682)   on 2011-03-23 16:04:54 (Show Source): You can put this solution on YOUR website! ``` Hi 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. line parallel to the line y = 3/4x-6 m = (3/4) parallel Lines have identical slopes y = (3/4)x -2 | Stated y-intercept of (0,-2) ```
 Sequences-and-series/426107: two jars of the same jam are sold at different prices, number one: £1.59 for 454g and number 2: £1.25 for 340g. which one is better value for money?1 solutions Answer 296503 by ewatrrr(10682)   on 2011-03-23 15:19:03 (Show Source): You can put this solution on YOUR website! ``` Hi £1.59 /454g = .0035£/g £1.25 /340g = .0037£/g ```
 Rectangles/426103: The length of a rectangle is 8 cm more than two times the width. If the perimeter of the rectangle is 40 cm, what are the dimensions? A) width = 4 cm, length = 16 cm B) width = 8 cm, length = 24 cm C) width = 4 cm, length = 32 cm D) width = 8 cm, length = 32 cm 1 solutions Answer 296501 by ewatrrr(10682)   on 2011-03-23 15:13:18 (Show Source): You can put this solution on YOUR website! ``` Hi The length of a rectangle is 8 cm more than two times the width Let x and (2x+8cm) represent the widthe and length respectively Question states*** 2(2x+8) + 2x = 40cm Solving for x 6x = 24 x = 4cm. the width, the length is 16cm. (2*4cm + 8cm) CHECKING our Answer*** 2*16cm + 2*4cm = 40cm ```