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

 Polynomials-and-rational-expressions/480875: -6a^5+48a^4+12a1 solutions Answer 329282 by ewatrrr(10682)   on 2011-08-12 11:17:41 (Show Source): You can put this solution on YOUR website!``` Hi, -6a^5+48a^4+12a = -6a(a^4-8a^3-2) ```
 Geometry_Word_Problems/480890: If the ratio of two areas of the circles A and B is 4, what is the ratio of the radii of A and B?1 solutions Answer 329281 by ewatrrr(10682)   on 2011-08-12 11:13:35 (Show Source): You can put this solution on YOUR website!``` Hi, ratio of two areas of the circles A and B is 4 ratio of the radii of A and B is 2/1 ```
 Human-and-algebraic-language/480889: A team gained 13 yards on one play ,lost 5 yards on another, and gained 18 yards on the last play of the first half. They had already gained 218 yards during the half. What was total gain for the first half?1 solutions Answer 329280 by ewatrrr(10682)   on 2011-08-12 11:10:22 (Show Source): You can put this solution on YOUR website!``` Hi, A team gained 13 yards on one play ,lost 5 yards on another, and gained 18 yards on the last play of the first half. NET 26 yds gained on these three plays total gain for the first half: 218yd + 26yd = 244yd ```
 Distributive-associative-commutative-properties/480888: 5(x-2)^2=1251 solutions Answer 329279 by ewatrrr(10682)   on 2011-08-12 11:07:48 (Show Source): You can put this solution on YOUR website!``` Hi, 5(x-2)^2=125 (x-2)^2= 25 x-2 = ± 5 x = 2 ± 5, x = 7 OR x = -3 ```
 Polygons/480877: what is the measure of each angle in a regular 1000gon?1 solutions Answer 329278 by ewatrrr(10682)   on 2011-08-12 11:05:38 (Show Source): You can put this solution on YOUR website!``` Hi, what is the measure of each angle in a regular 1000gon? sum of angles = 180°(n-2)= 998* 180° = 179,640° measure of each angle = 179,640°/1000 = 179.65° ```
 Polygons/480878: what is the sum of angles in a 516gon1 solutions Answer 329277 by ewatrrr(10682)   on 2011-08-12 11:03:04 (Show Source): You can put this solution on YOUR website!``` Hi, what is the sum of angles in a 516gon sum of angles = 180°(n-2)= 514* 180° = 92,520° ```
 Polygons/480882: Deteremine the number of diagonals of a regular 79-gon. Thank you1 solutions Answer 329276 by ewatrrr(10682)   on 2011-08-12 11:00:45 (Show Source): You can put this solution on YOUR website!``` Hi, Deteremine the number of diagonals of a regular 79-gon. Number of diagonals = n(n-3)2 = 79*76/2 = 3002 ```
 Age_Word_Problems/480863: claire is one year older than her sister nancy. nancy is three years older than her sister sheila. sheila is one year older than her brother david. david is five years older than his brother mike. the sum of the five siblings' ages is 120 years. find the age of each.1 solutions Answer 329262 by ewatrrr(10682)   on 2011-08-12 08:35:16 (Show Source): You can put this solution on YOUR website! ``` Hi, Let x represent Mike's age...then David is(x+5) sheila is (x+6) nancy is (x+9) claire is (x+10) Question states*** x + (x+5)+(x+6)+(x+9)+(x+10) = 120 5x +30 = 120 5x = 90 x = 18, Mike's age. David 23, Sheila 24, Nancy 27 and Claire 28 CHECKING our Answer*** 18 + 23 + 24 + 27 + 28 = 120 ```
 Quadratic_Equations/480857: A 21 inch square TV is on sale at the local electronics store. If 21 inches is the measure of the diagonal of the screen, use the Pythagorean theorem to find the length of the side of the screen.1 solutions Answer 329259 by ewatrrr(10682)   on 2011-08-12 08:25:59 (Show Source): You can put this solution on YOUR website! ``` Hi, A 21 inch square TV is on sale at the local electronics store. Let x represent the length of the side of the screen Using the Pythagorean theorem: x^2 + x^2 = 21^2 2x^2 = 441 x^2 = 220.5 x = sqrt(220.5) = 14.85in ```
 Graphs/480861: What is the midpoint of the line segment that runs between (-3, 1) and (1, 5)?1 solutions Answer 329258 by ewatrrr(10682)   on 2011-08-12 08:18:48 (Show Source): You can put this solution on YOUR website! ``` Hi, What is the midpoint of the line segment that runs between (-3, 1) and (1, 5)? Note: Midpoint Pt(x,y): ( , ) (-3, 1) and (1, 5) midpoint is (-2,3) ```
 Quadratic_Equations/480860: The formula N=2x^2+4x+1 represents the number of households. N, in thousands, in a certain city that have a computer x years after 1990. According to the formula, in what year were there 97 thousand households with computers in this city?1 solutions Answer 329257 by ewatrrr(10682)   on 2011-08-12 08:16:01 (Show Source): You can put this solution on YOUR website! ``` Hi, N=2x^2+4x+1 , where N, in thousands, have a computer x years after 1990. Solve in what year were there 97 thousand households with computers 97 = 2x^2 + 4x 1 2x^2 + 4x - 96 = 0 x^2 + 2x - 48 = 0 factoring (x+8)(x-6)= 0 x = 6 |tossing out negative solution for number of years. 1990 + 6 = 1996, the year there were 97 thousand households with computers 2*6^2 + 4*6 + 1 = 72 + 24 + 1 = 97 |checking our answer ```
 Linear-equations/480851: Find the slope of the line that contains (-7, -5) and (-4, -6)1 solutions Answer 329255 by ewatrrr(10682)   on 2011-08-12 07:57:45 (Show Source): You can put this solution on YOUR website! ``` Hi, Find the slope of the line that contains: (-7, -5) and (-4, -6) m = -1/3 Using the point-slope formula, ```
 Geometric_formulas/480832: What is the value of x? x is the ''opposite side'', triangle is right angled. 59 degrees of hypotenuse and 10cm width of triangle. Thankyou!1 solutions Answer 329254 by ewatrrr(10682)   on 2011-08-12 07:54:45 (Show Source): You can put this solution on YOUR website! ``` Hi, If I am understanding your question properly tan 59 = x/10cm, x = 10cm*tan 59 = 16.6428cm ```
 Volume/480834: what is the volume of a cylinder with the radius of 3 and the height 9?1 solutions Answer 329253 by ewatrrr(10682)   on 2011-08-12 07:49:11 (Show Source): You can put this solution on YOUR website! ``` Hi, V = |sweeping the base up thru the Ht to find volume ```
 Problems-with-consecutive-odd-even-integers/480846: the sum of two number is 3 and the sum of their squares is 12, find their product1 solutions Answer 329249 by ewatrrr(10682)   on 2011-08-12 07:37:24 (Show Source): You can put this solution on YOUR website! ``` Hi, the sum of two number is 3 Let x and (3-x) represent the numbers Question states*** x^2 + (3-x)^2 = 12 x^2 + 9 -6x + x^2 = 12 2x^2 - 6x -3 = 0 product of these numbers: (36 -60)/16 = -24/16 = -3/2 ```
 Probability-and-statistics/480594: Which pair has equally likely outcomes? List the letters of the two choices below which have equal probabilities of success, separated by a comma. A standard deck of cards has 12 face cards and four Aces (Aces are not face cards) A. rolling a sum of 4 on two fair six sided dice B. drawing a black seven out of a standard 52 card deck given it's not a face card of an Ace. C. rolling a sum of 11 on two fair six sided dice. D. rolling a sum of 7 on two fair six sided dice. E. drawing a three out of a standard 52 card deck given it's not a face card or an Ace.1 solutions Answer 329113 by ewatrrr(10682)   on 2011-08-11 14:45:32 (Show Source): You can put this solution on YOUR website! ``` Hi, Note: B and E refer to standard 52 card deck/12 face cards and 4 aces. (52-16)= 36 Probability of: A. rolling a sum of 4 on two fair six sided dice = 3/36 = 1/12 B. drawing a black seven,given it's not a face card of an Ace = 2/36 = 1/18 C. rolling a sum of 11 on two fair six sided dice = 2/36 = 1/18 D. rolling a sum of 7 on two fair six sided dice = 6/36 = 1/6 E. drawing a three, given it's not a face card or an Ace = 4/36 = 1/9 ___1_2_3__4__5__6 1|_2_3_4__5__6__7 2|_3_4_5__6__7__8 3|_4_5_6__7__8__9 4|_5_6_7__8__9_10 5|_6_7_8__9_10_11 6|_7_8_9_10_11_12 ```
 Graphs/480586: A line passes through the point (-2,-5) and is perpendicular to the line -2x+y=9 what is the equation of the line?1 solutions Answer 329111 by ewatrrr(10682)   on 2011-08-11 14:34:29 (Show Source): You can put this solution on YOUR website! ``` Hi, Line perpendicular to the line: -2x+y=9 OR y = 2x+ 9 slope m = 2 New Line: y = mx + b y = (-1/2)x + b |Has a slope that is the negative reciprocal of m = 2 y = (-1/2)x + b |Using Pt(-2,-5) to solve for b -5 = (-1/2)*-2 + b -6 = b Equation of the new Line is y = (-1/2)x - 6 ```
 Sequences-and-series/480578: 2, 4, 36, ?, 150, 180.............the missing term 1 solutions Answer 329106 by ewatrrr(10682)   on 2011-08-11 14:26:48 (Show Source): You can put this solution on YOUR website! ``` Hi, {2,4,36,__,150,180,...} Note: = 1^2*2 (n+1) = 2^2 * (n-1) = 3^2*(n+1) etc = 16*(4-1) = 15*3 = 48 ```
 Quadratic_Equations/480584: 12x^2+7x-12 Factor the Quadratic expression completely find the roots of the expression1 solutions Answer 329102 by ewatrrr(10682)   on 2011-08-11 14:09:57 (Show Source): You can put this solution on YOUR website! ``` Hi, 12x^2+7x-12 factoring (4x -3 )(3x + 4) If x = 3/4 or x = -4/3 then (4x -3 )(3x + 4) = 0 F First terms 12x^2 O Outside terms +16x I Inside terms -9x L Last terms -12 ```
 Rectangles/480534: find the length and width of rectangle ABCD. P=140cm and lenght is 4x.1 solutions Answer 329073 by ewatrrr(10682)   on 2011-08-11 11:33:32 (Show Source): You can put this solution on YOUR website! ``` Hi, find the length and width of rectangle ABCD. P=140cm and length is 4x. ASSUMING... x is the width 2(4x) + 2*x = 140cm 4x + x = 70cm 5x = 70 x = 14cm, the width, the length is 56cm (4*14cm) CHECKING our Answer*** 2*14cm + 2*56cm = 28cm + 112cm = 140cm ```
 Square-cubic-other-roots/480515: 6x^2+24x-72 how to solve problem1 solutions Answer 329072 by ewatrrr(10682)   on 2011-08-11 11:25:16 (Show Source): You can put this solution on YOUR website! ``` Hi, 6x^2+24x-72 = 6(x^2 + 4x - 12) = 4(x +6)(x-2) F First terms x^2 O Outside terms -2x I Inside terms +6x L Last terms -12 Above is 'factoring' If it were a questin of solving then 6x^2 + 24x - 72 = 0 In that case: 4(x+6)(x-2) = 0 and x = -6 OR x = 2 ```
 Graphs/480143: Which of the following points lie in the solution set to the following system of inequalities? y < -3x + 3 y < x + 2 1 solutions Answer 329068 by ewatrrr(10682)   on 2011-08-11 11:11:11 (Show Source): You can put this solution on YOUR website! ``` Hi, Which of the following points lie in the solution set to the following system of inequalities? y < -3x + 3 y < x + 2 Graphing y = -3x+3 (green) and y = x+2(Blue) Points in the solution set? ALL would lie in the area BELOW(left of) the Green AND BELOW the Blue Line ```
 Graphs/480529: how do i graph x+2y=10, -x+4y=-81 solutions Answer 329067 by ewatrrr(10682)   on 2011-08-11 11:04:04 (Show Source): You can put this solution on YOUR website! ``` Hi, Graphing x+2y=10 Pt(0,5) and Pt(10,0) on the Green Line below -x+4y=-8 Pt(0,-2) and Pt( 8,0) on the Blue Line below Plot points and connect these points with the corresponding Lines ```
 Average/480533: marc likes to keep up with his grades in science. he made two 100s on tests, and on his other two tests he scored 87 and 97. what is his average test grade?1 solutions Answer 329066 by ewatrrr(10682)   on 2011-08-11 10:56:38 (Show Source): You can put this solution on YOUR website! ``` Hi, Average = (100 + 100 + 87 + 97)/4 = 384/4 = 96 average ```
 test/480523: A circle has a diameter AB wher A is the point (6,4) and B is the point (-2,2). Find the radius of th circle and the equation of the circle in general form1 solutions Answer 329064 by ewatrrr(10682)   on 2011-08-11 10:54:21 (Show Source): You can put this solution on YOUR website! ``` Hi, A circle has a diameter AB wher A is the point (6,4) and B is the point (-2,2) (6,4) (-2,2 diameter length = sqrt(8^2 + 2^2) = sqrt(68) |D = r = 1/2sqr5t(68) = sqrt(17) Standard Form of an Equation of a Circle is where Pt(h,k) is the center and r is the radius (6,4) (-2,2 C = (2, 3) Midpoint Pt(x,y): ( , ) ```
 Equations/480512: Hi! I need some help with this equiation.. My answer is supposed to be 5x/(x+5) but I keep on getting something else.. Please help!!!!! ((1/x)-(1/5))/((1/x^2)-(1/25))1 solutions Answer 329063 by ewatrrr(10682)   on 2011-08-11 10:44:43 (Show Source): You can put this solution on YOUR website! ``` Hi, Recommend taking it a step at a time: ```
 Equations/480489: Solve the system of linear equations using any method. 2x + y = 5 and 4x + 3y = 11 does this have? The system has infinitely many solutions. The system has one and only one solution (2, 1). The system has no solutions. none of the above?1 solutions Answer 329060 by ewatrrr(10682)   on 2011-08-11 10:35:45 (Show Source): You can put this solution on YOUR website! ``` Hi, Solve the system of linear equations using any method. 2x + y = 5 OR y = -2x+5 4x + 3y = 11 4x + 3(-2x+5) = 11 -2x = -4 x = 2 and y = 1 (-2*2 + 5 = 1) The system has one and only one solution (2, 1). ```
 Equations/480490: Given the system of linear equations: y = 2x + 5 and - 2x + y = 7 , which one of the following statements is true? The system has no solutions. The system has one solution ( - 1, 3). The system has one solution (7, 7). The system has an infinite number of solutions. 1 solutions Answer 329059 by ewatrrr(10682)   on 2011-08-11 10:33:18 (Show Source): You can put this solution on YOUR website! ``` Hi, Given the system of linear equations: y = 2x + 5 OR 2x - y = -5 -2x + y = 7 2x - y = -5 -2x + y = 7 0 ≠ 2 The system has NO solutions ```
 Equations/480500: evaluate the following determinant -4 -3 3 5 1 -3 7 -1 21 solutions Answer 329058 by ewatrrr(10682)   on 2011-08-11 10:21:55 (Show Source): You can put this solution on YOUR website! ``` Hi, = = a1(b2c3-c2b3) - b1(a2c3-c2a3) + c1(a2b3-b2a3) = -4[1*2-(-1*-3)] - [-3(5*2-(-3*7)] + 3[5*-1 - (1*7)] = 4 + 93 - 36 = 61 ```
 Equations/480501: evaluate the determinant -3 4 -8 -71 solutions Answer 329052 by ewatrrr(10682)   on 2011-08-11 09:18:57 (Show Source): You can put this solution on YOUR website! ``` Hi, = = -3*-7 - (4*-8)= 53 ```
 Quadratic_Equations/480497: find the roots of the quadratic equation 2x^2-5x+3=01 solutions Answer 329049 by ewatrrr(10682)   on 2011-08-11 09:07:50 (Show Source): You can put this solution on YOUR website! ``` Hi, find the roots of the quadratic equation 2x^2-5x+3=0 = (2x-3)(x-1) = 0 x = 3/2 or x = 1 checking our factoring using FOIL F First terms 2x^2 O Outside terms -2x I Inside terms -3x L Last terms 3 ```