Algebra ->  Tutoring on algebra.com -> See tutors' answers!      Log On

 Tutoring Home For Students Tools for Tutors Our Tutors Register Recently Solved
 By Tutor
| By Problem Number |

Tutor:

# Recent problems solved by 'ewatrrr'

Jump to solutions: 0..29 , 30..59 , 60..89 , 90..119 , 120..149 , 150..179 , 180..209 , 210..239 , 240..269 , 270..299 , 300..329 , 330..359 , 360..389 , 390..419 , 420..449 , 450..479 , 480..509 , 510..539 , 540..569 , 570..599 , 600..629 , 630..659 , 660..689 , 690..719 , 720..749 , 750..779 , 780..809 , 810..839 , 840..869 , 870..899 , 900..929 , 930..959 , 960..989 , 990..1019 , 1020..1049 , 1050..1079 , 1080..1109 , 1110..1139 , 1140..1169 , 1170..1199 , 1200..1229 , 1230..1259 , 1260..1289 , 1290..1319 , 1320..1349 , 1350..1379 , 1380..1409 , 1410..1439 , 1440..1469 , 1470..1499 , 1500..1529 , 1530..1559 , 1560..1589 , 1590..1619 , 1620..1649 , 1650..1679 , 1680..1709 , 1710..1739 , 1740..1769 , 1770..1799 , 1800..1829 , 1830..1859 , 1860..1889 , 1890..1919 , 1920..1949 , 1950..1979 , 1980..2009 , 2010..2039 , 2040..2069 , 2070..2099 , 2100..2129 , 2130..2159 , 2160..2189 , 2190..2219 , 2220..2249 , 2250..2279 , 2280..2309 , 2310..2339 , 2340..2369 , 2370..2399 , 2400..2429 , 2430..2459 , 2460..2489 , 2490..2519 , 2520..2549 , 2550..2579 , 2580..2609 , 2610..2639 , 2640..2669 , 2670..2699 , 2700..2729 , 2730..2759 , 2760..2789 , 2790..2819 , 2820..2849 , 2850..2879 , 2880..2909 , 2910..2939 , 2940..2969 , 2970..2999 , 3000..3029 , 3030..3059 , 3060..3089 , 3090..3119 , 3120..3149 , 3150..3179 , 3180..3209 , 3210..3239 , 3240..3269 , 3270..3299 , 3300..3329 , 3330..3359 , 3360..3389 , 3390..3419 , 3420..3449 , 3450..3479 , 3480..3509 , 3510..3539 , 3540..3569 , 3570..3599 , 3600..3629 , 3630..3659 , 3660..3689 , 3690..3719 , 3720..3749 , 3750..3779 , 3780..3809 , 3810..3839 , 3840..3869 , 3870..3899 , 3900..3929 , 3930..3959 , 3960..3989 , 3990..4019 , 4020..4049 , 4050..4079 , 4080..4109 , 4110..4139 , 4140..4169 , 4170..4199 , 4200..4229 , 4230..4259 , 4260..4289 , 4290..4319 , 4320..4349 , 4350..4379 , 4380..4409 , 4410..4439 , 4440..4469 , 4470..4499 , 4500..4529 , 4530..4559 , 4560..4589 , 4590..4619 , 4620..4649 , 4650..4679 , 4680..4709 , 4710..4739 , 4740..4769 , 4770..4799 , 4800..4829 , 4830..4859 , 4860..4889 , 4890..4919 , 4920..4949 , 4950..4979 , 4980..5009 , 5010..5039 , 5040..5069 , 5070..5099 , 5100..5129 , 5130..5159 , 5160..5189 , 5190..5219 , 5220..5249 , 5250..5279 , 5280..5309 , 5310..5339 , 5340..5369 , 5370..5399 , 5400..5429 , 5430..5459 , 5460..5489 , 5490..5519 , 5520..5549 , 5550..5579 , 5580..5609 , 5610..5639 , 5640..5669 , 5670..5699 , 5700..5729 , 5730..5759 , 5760..5789 , 5790..5819 , 5820..5849 , 5850..5879 , 5880..5909 , 5910..5939 , 5940..5969 , 5970..5999 , 6000..6029 , 6030..6059 , 6060..6089 , 6090..6119 , 6120..6149 , 6150..6179 , 6180..6209 , 6210..6239 , 6240..6269 , 6270..6299 , 6300..6329 , 6330..6359 , 6360..6389 , 6390..6419 , 6420..6449 , 6450..6479 , 6480..6509 , 6510..6539 , 6540..6569 , 6570..6599 , 6600..6629 , 6630..6659 , 6660..6689 , 6690..6719 , 6720..6749 , 6750..6779 , 6780..6809 , 6810..6839 , 6840..6869 , 6870..6899 , 6900..6929 , 6930..6959 , 6960..6989 , 6990..7019 , 7020..7049 , 7050..7079 , 7080..7109 , 7110..7139 , 7140..7169 , 7170..7199 , 7200..7229 , 7230..7259 , 7260..7289 , 7290..7319 , 7320..7349 , 7350..7379 , 7380..7409 , 7410..7439 , 7440..7469 , 7470..7499 , 7500..7529 , 7530..7559 , 7560..7589 , 7590..7619 , 7620..7649 , 7650..7679 , 7680..7709 , 7710..7739 , 7740..7769 , 7770..7799 , 7800..7829 , 7830..7859 , 7860..7889 , 7890..7919 , 7920..7949 , 7950..7979 , 7980..8009 , 8010..8039 , 8040..8069 , 8070..8099 , 8100..8129 , 8130..8159 , 8160..8189 , 8190..8219 , 8220..8249 , 8250..8279 , 8280..8309 , 8310..8339 , 8340..8369 , 8370..8399 , 8400..8429 , 8430..8459 , 8460..8489 , 8490..8519 , 8520..8549 , 8550..8579 , 8580..8609 , 8610..8639 , 8640..8669 , 8670..8699 , 8700..8729 , 8730..8759 , 8760..8789 , 8790..8819 , 8820..8849 , 8850..8879 , 8880..8909 , 8910..8939 , 8940..8969 , 8970..8999 , 9000..9029 , 9030..9059 , 9060..9089 , 9090..9119 , 9120..9149 , 9150..9179 , 9180..9209 , 9210..9239 , 9240..9269 , 9270..9299 , 9300..9329 , 9330..9359 , 9360..9389 , 9390..9419 , 9420..9449 , 9450..9479 , 9480..9509 , 9510..9539 , 9540..9569 , 9570..9599 , 9600..9629 , 9630..9659 , 9660..9689 , 9690..9719 , 9720..9749 , 9750..9779 , 9780..9809 , 9810..9839 , 9840..9869 , 9870..9899 , 9900..9929 , 9930..9959 , 9960..9989 , 9990..10019 , 10020..10049 , 10050..10079 , 10080..10109 , 10110..10139 , 10140..10169 , 10170..10199 , 10200..10229 , 10230..10259 , 10260..10289 , 10290..10319 , 10320..10349 , 10350..10379 , 10380..10409 , 10410..10439 , 10440..10469 , 10470..10499 , 10500..10529 , 10530..10559 , 10560..10589 , 10590..10619 , 10620..10649 , 10650..10679, >>Next

 Pythagorean-theorem/468297: One number is 6 more than twice another. Their product is 6 more than twice their sum. Find the numbers x and y1 solutions Answer 321313 by ewatrrr(10682)   on 2011-07-08 10:46:15 (Show Source): You can put this solution on YOUR website! ``` Hi, One number is 6 more than twice another Let x and ( 2x+6) represent the numbers Question states*** x(2x+6) = 2[x + (2x+6)] + 6 Solving for x 2x^2 + 6x = 6x + 18 2x^2 = 18 x^2 = 9 x = ± 3 Numbers are 3 and 12 OR -3 and 0 CHECKING our Answer*** 3*12 = 2*15 + 6 = 36 -3*0 = 0 = 2*(-3) + 6 ```
 Quadratic_Equations/468293: Help!! I do not understand the text or the examples. Find the vertex, line of symmetry, and the maximum or minimum value of f(x). Graph the function. f(x)=-4(x+7)^2+8 f(x)=-(x+6)^2-7 1 solutions Answer 321309 by ewatrrr(10682)   on 2011-07-08 10:25:31 (Show Source): You can put this solution on YOUR website! ``` Hi, the vertex form of a parabola, where(h,k) is the vertex f(x)= -4(x+7)^2+8 V(-7,8) a maximum, parabola opens downward a = -4 a <0 Line of symmetry is x = -7 f(x)= -(x+6)^2-7 V(-6,-7) a maximum, parabola opens downward a = -1 a <0 Line of symmetry is x = -6 ```
 Equations/468296: Given f(x) = 3x – 1, find f(7). I filled in 7 where the x's are but I don't think thats correct.1 solutions Answer 321308 by ewatrrr(10682)   on 2011-07-08 10:19:00 (Show Source): You can put this solution on YOUR website! ``` Hi, You are correct! replacing x with 7 would be the proper way to proceed f(x) = 3x – 1 f(7) = 3*7 – 1 = 20 ```
 Probability-and-statistics/468247: Use Chebyshev’s theorem to find what percent of the values will fall between 226 and 340 for a data set with a mean of 283 and standard deviation of 19.1 solutions Answer 321307 by ewatrrr(10682)   on 2011-07-08 10:16:11 (Show Source): You can put this solution on YOUR website! ``` Hi, Use Chebyshev’s theorem to find what percent of the values will fall between 226 and 340 for a data set with a mean of 283 and standard deviation of 19. 226 is (226-283)/19 = 57/19 = 3 340 is (340-283)/19 = 57/19 = 3 According to Chebyshev's Theorem: "at least [1-(1/3)^2] = [1- 1/9] = 8/9 of the data lies in that interval. 8/9 = 88.89% ```
 Probability-and-statistics/468287: The following numbers were recorded in the statistical experiment. 93 73 82 70 86 96 95 64 81 74 1) Calculate the mean, median, range and standard deviation. Do the calculations by hand (the calculations do not need to be word processed.) 2) Draw a boxplot summarizing your data.1 solutions Answer 321304 by ewatrrr(10682)   on 2011-07-08 09:32:00 (Show Source): You can put this solution on YOUR website! ``` Hi, 64 81.4 -17.4 302.76 70 81.4 -11.4 129.96 73 81.4 -8.4 70.56 74 81.4 -7.4 54.76 81 81.4 -0.4 0.16 82 81.4 0.6 0.36 86 81.4 4.6 21.16 93 81.4 11.6 134.56 95 81.4 13.6 184.96 96 81.4 14.6 213.16 814 1112.4 sqrt((1112.4)/9) = 11.11755369 = SD Mean = 81.4 Median = (81+82)/2 = 81.5 Range = 96-64 = 32 SD = 11.1176 ```
 Number-Line/468284: how to plot 5/4 on a line line1 solutions Answer 321303 by ewatrrr(10682)   on 2011-07-08 09:20:43 (Show Source): You can put this solution on YOUR website! ``` Hi, Previously Posted Note: 5/4 = 1 1/4 ```
 Number-Line/468286: how to plot 5/4 on a number line1 solutions Answer 321302 by ewatrrr(10682)   on 2011-07-08 09:20:13 (Show Source): You can put this solution on YOUR website! ``` Hi Note: 5/4 = 1 1/4 ```
 Rectangles/468261: 1.The Perimeter of a rectangle is 60cm. Its length is twice its width. Find its length. Thank you so much.1 solutions Answer 321301 by ewatrrr(10682)   on 2011-07-08 09:17:08 (Show Source): You can put this solution on YOUR website! ``` Hi, length is twice its width Let x and (2x) represent the width and length respectively. Question states*** P = 2*2x + 2x = 60cm 6x = 60cm x = 10cm, the width. the length is 20cm CHECKING our Answer*** 2*10cm + 2*20cm = 60cm ```
 Rectangles/468263: Find the Perimeter of a rectangle whose length is 5cm less than twice it's width. Its width is 15cm. Thank you so much.1 solutions Answer 321299 by ewatrrr(10682)   on 2011-07-08 09:13:11 (Show Source): You can put this solution on YOUR website! ``` Hi, length is 5cm less than twice it's width. Let x and (2x-5cm) represent the width and length respectively. x = 15cm 2*15cm + 2*25cm = P = 80cm ```
 logarithm/468282: Express in terms of sums and differences of logarithm: ln 9/2x^2y I came up with ln9-2ln + ln2x + ln y. This is not correct. Thanks 1 solutions Answer 321297 by ewatrrr(10682)   on 2011-07-08 09:08:55 (Show Source): You can put this solution on YOUR website! ``` Hi, If I am understanding Your question properly: ln (9/2)x^2y = ln9 - ln2 + 2lnx + lny ```
 Linear-equations/468280: If f(x)=-3x+2,what are the values of m and b , so that , f(mx+b)=2x-31 solutions Answer 321294 by ewatrrr(10682)   on 2011-07-08 09:05:41 (Show Source): You can put this solution on YOUR website! ``` Hi, f(x)=-3x+2 f(mx+b)= -3(mx+b)+2 = 2x-3 -3mx-3b = 2x-5 -3m = 2, m = -2/3 3b = 5, b = 5/3 CHECKING our Answer*** -3(mx+b)+2 = -3((-2/3)x -3(5/3)+2 = 2x -3 ```
 Polynomials-and-rational-expressions/468264: how to solve dis (-6x^2y^2)(4x^2y^2)(-2xy)?1 solutions Answer 321291 by ewatrrr(10682)   on 2011-07-08 08:58:30 (Show Source): You can put this solution on YOUR website! ``` Hi, Note: (-6x^2y^2)(4x^2y^2)(-2xy) (-6x^2y^2)(4x^2y^2)(-2x^1y^1)= 48x^5y^5 ```
 Probability-and-statistics/468266: Mary has seven decorative vases to arrange on a shelf. How many different arrangements are possible? I am terrible with probability I just need to know how to set these types of problems up and get started. Are diagrams better? Someone please help.1 solutions Answer 321290 by ewatrrr(10682)   on 2011-07-08 08:55:19 (Show Source): You can put this solution on YOUR website! ``` Hi, Mary has 'seven' decorative vases to arrange on a shelf. How many different arrangements are possible? 7! = 7*6*5*4*3*2*1 = 5040(calculator) Probability is much like every discipline in Mathematics (Algebra, for example, has operations or formulas that work best in particular situations or 'types of problems', as you put it so well) n! operation works with these types. ```
 Quadratic_Equations/468098: 2x^2-x-3=01 solutions Answer 321191 by ewatrrr(10682)   on 2011-07-07 17:01:57 (Show Source): You can put this solution on YOUR website! ``` Hi, 2x^2-x-3=0 factoring (2x -3)(x+1) = 0 (2x -3)=0 x = 3/2 (x+1) = 0 x = -1 checking the factoring with FOIL F First terms 2x^2 O Outside terms 2x I Inside terms -3x L Last terms -3 ```
 Radicals/468116: multiply: √8+√98-√721 solutions Answer 321190 by ewatrrr(10682)   on 2011-07-07 16:58:55 (Show Source): You can put this solution on YOUR website! ``` Hi, √8+√98-√72 = √4*2+√49*2-√36*2 = 2√2 + 7√2 -6√2 = 3√2 ```
 test/468118: Short Answer: Convert this number to scientific notation: 960,000 1 solutions Answer 321189 by ewatrrr(10682)   on 2011-07-07 16:55:08 (Show Source): You can put this solution on YOUR website! ``` Hi, Converting this number to scientific notation: 960,000 = 9.6x10^ |Original number is 5 spaces to the right of the decimal point ```
 Triangles/468093: The third angle of a triangle measures twice the sum of the first and second angles. The first angle measures 23°. Find the measure of the second and third angles.1 solutions Answer 321188 by ewatrrr(10682)   on 2011-07-07 16:52:36 (Show Source): You can put this solution on YOUR website! ``` Hi, Let 23, x and 2(x+23)represent the 1st, 2nd and 3rd angle respectively Question states*** 23° + x + 2(x+23°)= 180° Solving for x 3x = 111° x = 37°, the 2nd angle. Third is 120°. (2*60°) CHECKING our Answer*** 23° + 37° + 120° = 180° ```
 Probability-and-statistics/468110: A bag contains 8 red, 7 white, and 5 blue balls. A ball is drawn from the bag. Find the probability of white. Find the probability of red or blue.1 solutions Answer 321187 by ewatrrr(10682)   on 2011-07-07 16:46:43 (Show Source): You can put this solution on YOUR website! ``` Hi, 20 balls: 8 red, 7 white, and 5 blue balls Drawing one P(W) = 7/20 P(R OR B) = 8/20 + 5/20 = 13/20 ```
 Quadratic_Equations/468099: x^2-5x+2=01 solutions Answer 321184 by ewatrrr(10682)   on 2011-07-07 16:44:45 (Show Source): You can put this solution on YOUR website! ``` Hi, x^2-5x+2=0 ```
 Linear-systems/468107: solve: 2x+3y=7 x+y=31 solutions Answer 321183 by ewatrrr(10682)   on 2011-07-07 16:42:43 (Show Source): You can put this solution on YOUR website! ``` Hi, 2x+3y=7 x+y=3 2x+3y=7 -2x-2y=-6 |multiplying thru by -2 t0 eliminate the x variable y = 1 and x = 2 (x = -y+3 ) CHECKING our Answer*** 2x+3y=7 4 + 3 = 7 ```
 Linear-systems/468108: solve: 3x-4y=26 { x-8y=221 solutions Answer 321182 by ewatrrr(10682)   on 2011-07-07 16:39:57 (Show Source): You can put this solution on YOUR website! ``` Hi, solve: 3x-4y=26 x-8y=22 3x-4y =26 -3x+24y=-66 |multiplying thru by -3 t eliminate the x variable 20y = -40 y = -2 and x = 6 ( x = 8*-2 + 22) CHECKING our Answer*** 3x-4y=26 18 + 8 = 26 ```
 test/468101: Multiply: X^2-1 over 6 times 2 over x-11 solutions Answer 321180 by ewatrrr(10682)   on 2011-07-07 16:35:59 (Show Source): You can put this solution on YOUR website! ``` Hi, ```
 Quadratic_Equations/468086: The product of the first and third of three positive consecutive even integers is 150 more than the sum of all three integers. This is what I tried: x(x+4)=x+x+1+x+4+150 x^2+x-155 <--I was stuck at this point (Try using the Quadratic formula, didn't work.) Thank you for your help! 1 solutions Answer 321178 by ewatrrr(10682)   on 2011-07-07 16:32:27 (Show Source): You can put this solution on YOUR website!``` Hi, Let x, (x+2) and (x+4) represent the three positive consecutive even integers Question states*** x(x+4) = [x + + (x+4)] + 150 Solving for x x^2 + 4x = 3x + 156 x^2 + x - 156 = 0 factoring (x +13)(x-12) = 0 (x +13)= 0 x = -13 Extraneous solution (x-12) = 0 x = 12 the three positive consecutive even integers are 12,14,16 CHECKING our Answer*** 12*16 = 192 = 42 + 150 = 192 ```
 Coordinate-system/468070: Is there a difference between no slope and an undefined slope of a straight line? If so,then what is it?1 solutions Answer 321145 by ewatrrr(10682)   on 2011-07-07 14:23:10 (Show Source): You can put this solution on YOUR website! ``` Hi, y = 2 Green Line has no slope, m = 0 x = 2 Blue Line has an undefined slope, x has zero change (slope = (change in y)/(change in x)CANNOT divide by zero, therfore it's undefined ```
 test/468055: solve the quadratic equations for the value of x. X^2+x=121 solutions Answer 321143 by ewatrrr(10682)   on 2011-07-07 14:09:39 (Show Source): You can put this solution on YOUR website! ``` Hi, Solving for x x^2+x = 12 x^2 + x - 12 = 0 factoring (x+4)(x-3)= 0 (x+4)= 0 x = -4 (x-3)= 0 x = 3 ```
 Polynomials-and-rational-expressions/468064: 4. Use the remainder theorem to: (A)find the remainder when f(x) is divided by x – c, and (B)determine whether x – c is a factor of f(x). Please show all of your work. f(x)=x³+3x²-8x+10;x-5 I appreciate any help, thanks.1 solutions Answer 321141 by ewatrrr(10682)   on 2011-07-07 14:07:14 (Show Source): You can put this solution on YOUR website! ``` Hi, = x^2 + 8x + 32 R = 170 (x-5) is not a factor using the synthetic division process 5 1 3 -8 10 5 40 160 1 8 32 170 ```
 Polynomials-and-rational-expressions/468060: Multiply and simplify. (25z^2)/(3z^2-6z+3) * (3z-3)/(5z)1 solutions Answer 321137 by ewatrrr(10682)   on 2011-07-07 13:56:28 (Show Source): You can put this solution on YOUR website! ``` Hi, (25z^2)/(3z^2-6z+3) * (3z-3)/(5z) * ```
 Linear-equations/468049: Which of the following equations describe the line below (4,-4) (1,2) a) y-2=-1/2(x-1) b)y-1=-1/2(x-2) c)y-4=-1/2(x-4) d)y-4=-2(x+4) e)y-1=-2(x-2) f) y-4=-1/2(x+4)1 solutions Answer 321129 by ewatrrr(10682)   on 2011-07-07 13:39:06 (Show Source): You can put this solution on YOUR website! ``` Hi, Using the point-slope formula, (4,-4) (1,2) m = -6/3 = -2 y + 4 = -2(x-4) |using Pt(4,-4) OR y - 2 = -2(x - 1) |using Pt(1,2) ```
 Linear-equations/468042: Write an equation, in slope-intercept form if possible, of the line through the pair of points. (-7, 0) and (4, 2)1 solutions Answer 321125 by ewatrrr(10682)   on 2011-07-07 13:25:22 (Show Source): You can put this solution on YOUR website! ``` Hi, Using the point-slope formula, (-7, 0) and (4, 2) m = -2/-11 = 2/11 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. y = (2/11)x + b |Using ordered pair (4,2) to solve for b 2 = (2/11)*4 + b 14/11 = b 9/6 = 3/2 = b y = (2/11)x + 14/11 ```
 Linear-equations/468043: Write an equation, in slope-intercept form if possible, of the line through the pair of points. [-1/3, 2/3] and [1/3, 7/3]1 solutions Answer 321124 by ewatrrr(10682)   on 2011-07-07 13:21:21 (Show Source): You can put this solution on YOUR website! ``` Hi, Using the point-slope formula, [-1/3, 2/3] and [1/3, 7/3] m = -5/3 / -2/3 = 5/2 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. y = (5/2)x + b |Using ordered pair (-1/3,2/3) to solve for b 2/3 = (5/2)*(-1/3) + b 4/6 + 5/6 = b 9/6 = 3/2 = b y = (5/2)x + 3/2 ```
 Quadratic-relations-and-conic-sections/468040: Draw the graph. 4y^2 +9y+10 = x 1 solutions Answer 321122 by ewatrrr(10682)   on 2011-07-07 13:14:14 (Show Source): You can put this solution on YOUR website! ``` Hi, the vertex form of a parabola opening right or left, where(h,k) is the vertex. 4y^2 +9y+10 = x 4[(y + 9/8)^2 - 81/64] + 10 4(y + 9/8)^2 - 81/16 + 10 = x 4(y + 9/8)^2 + 79/16 = x V(79/16,-9/8) Opening to the right ```