# See tutors' answers!

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'

ewatrrr answered: 10675 problems
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

 Trigonometry-basics/623729: Find the x- and y-intercepts of the line, and find the area and the perimeter of the triangle formed by the line and the axes. A) 3x + 5y = 15 I have gotten both intercepts, which are, x-intercept-5, y-intercept-3. I cannot understand how to find the area and perimeter.1 solutions Answer 392257 by ewatrrr(10682)   on 2012-06-25 14:32:51 (Show Source): You can put this solution on YOUR website! ``` Hi Find the x- and y-intercepts of the line, and find the area and the perimeter of the triangle formed by the line and the axes. A) 3x + 5y = 15 I have gotten both intercepts, which are, x-intercept(5,0) y-intercept (0,3). Plot points, connect with line. units^2 ```
 Exponential-and-logarithmic-functions/623720: what is i to the 27th power?1 solutions Answer 392253 by ewatrrr(10682)   on 2012-06-25 14:24:27 (Show Source): You can put this solution on YOUR website! ``` Hi Note: and i^2 = -1 ```
 Word_Problems_With_Coins/623728: a vending machine contains dimes and quarters. There are 339 coins all together totalling \$54.15. How many types of coin are there1 solutions Answer 392252 by ewatrrr(10682)   on 2012-06-25 14:15:25 (Show Source): You can put this solution on YOUR website! ``` Hi, a vending machine contains dimes and quarters. There are 339 coins all together totalling \$54.15. Question states***CENTS make sense 25x + 10(339-x)= 5415’ 15x = 2025’ x = 135 Quarters and 204 Dimes and CHECKING our Answer*** = 3375’ + 2040’ = 5415’ or \$54.15 ```
 Expressions-with-variables/623726: I need help with 4a=3-b 4a=2-b1 solutions Answer 392250 by ewatrrr(10682)   on 2012-06-25 14:08:28 (Show Source): You can put this solution on YOUR website! ``` Hi 4a=3-b 4a=2-b 3-b = 2-b 3 ≠ 2 || No solutions for this systen of equations ```
 Functions/623721: The sum of the length l and the width w of a rectangular area is 260 meters. (a) Write w as a function of l. w = ? (b) Write the area A as a function of l. A = ? (c) Find the dimensions that produce the greatest area. l = ? m w = ? m1 solutions Answer 392249 by ewatrrr(10682)   on 2012-06-25 14:03:23 (Show Source): You can put this solution on YOUR website! ``` Hi The sum of the length l and the width w of a rectangular area is 260 meters. (a) Write w as a function of l. w = 260 - l (b) Write the area A as a function of l. A = l(260-l) (c) Find the dimensions that produce the greatest area. (When rectangle is a Square) l = 130 m w = 130 m for Ex: and ```
 Trigonometry-basics/623709: The distance s that an object falls due to gravity varies jointly as the acceleration g due to gravity and the square of the time t of fall. The acceleration due to gravity on the moon is 0.172 that on earth. If a rock falls for 2 seconds on earth, how many seconds would be required for the rock to fall an equal distance on the moon? I am looking more for an explanation of how to do the problem rather than just an answer. Thank You!1 solutions Answer 392247 by ewatrrr(10682)   on 2012-06-25 13:43:32 (Show Source): You can put this solution on YOUR website! ``` Hi The distance s that an object falls due to gravity varies jointly as the acceleration g due to gravity and the square of the time t of fall s = gt^2 rock falls for 2 seconds on earth s = 4g gravity on the moon is 0.172 that on earth how many seconds would be required for the rock to fall an equal distance on the moon? 4g = .172gt^2 4/.172 = t^2 4.8sec = t (rounded to one decimal point) ```
 Graphs/623715: Please help with interval notation and graph! -(x-4) is greater than or equal to 4. also, -3x is greater than 9 or 4x is greater than 121 solutions Answer 392246 by ewatrrr(10682)   on 2012-06-25 13:35:34 (Show Source): You can put this solution on YOUR website! ``` Hi, -(x-4) ≥ 4 OR x-4 ≤ -4 |Note: change of the direction of the Inequality when multiplying thru by -1 x ≤ 0 -3x > 9 OR x < -3 |Note: change of the direction of the Inequality when dviding thru by -3 4x > 12 x > 3 |Multiplying or dividing thru with a positve number does NOT change the direction of the Inequality ```
 Quadratic_Equations/623713: factor: 5x2 + 12x = 01 solutions Answer 392242 by ewatrrr(10682)   on 2012-06-25 13:25:18 (Show Source): You can put this solution on YOUR website! ``` Hi, factor: 5x^2 + 12x = 0 |Note: the use of ^ (uppercase 6) ```
 Functions/623701: Simplify each expression. Show any factoring and canceling, (2/3)(18m) please help I'm not sure where to start! Thank you!1 solutions Answer 392237 by ewatrrr(10682)   on 2012-06-25 13:18:44 (Show Source): You can put this solution on YOUR website! ``` Hi, ```
 Age_Word_Problems/623708: Mary is twice as old as Samantha. Bill is four years older than Mary. If Samantha is 7 years old, how old is Bill?1 solutions Answer 392231 by ewatrrr(10682)   on 2012-06-25 13:06:26 (Show Source): You can put this solution on YOUR website! ``` Hi, Mary is twice as old as Samantha. Bill is four years older than Mary. If Samantha is 7 years old, how old is Bill? Mary is 14 and Bill is 18 ```
 Quadratic_Equations/623696: The area of a rectangular plot 24 feet long and 16 feet wide will be doubled by adding an equal distance to each side of the plot. What is the distance added to each side?1 solutions Answer 392228 by ewatrrr(10682)   on 2012-06-25 12:55:59 (Show Source): You can put this solution on YOUR website! ``` Hi, The area of a rectangular plot 24 feet long and 16 feet wide will be doubled by adding an equal distanceto each side of the plot. Question states*** Note: A = l*w 2(24*16) = (24 + 2x)16 48 -24 = 2x x = 12' the distance added to each side and CHECKING our Answer*** ```
 Percentage-and-ratio-word-problems/623699: the cost of 21 objects was 168\$.how many objects could be purchased for 528\$1 solutions Answer 392227 by ewatrrr(10682)   on 2012-06-25 12:46:12 (Show Source): You can put this solution on YOUR website! ``` Hi, the cost of 21 objects was 168\$. how many objectscould be purchased for 528\$ Info sets Up the Proportion: | Cross Multiply to solve for x ```
 Expressions-with-variables/623693: Solve using the SUBSTITUTION method. Must show all work for FULL credit. If system has no solution or an infinite number of solutions, Please state this. 3x + y = 26 -6x + y = -37 Thank you for your help -I am not really dumb, I just don't understand algebra. 1 solutions Answer 392226 by ewatrrr(10682)   on 2012-06-25 12:35:52 (Show Source): You can put this solution on YOUR website! ``` Hi, Solve using the SUBSTITUTION method: 3x + y = 26 or y = -3x+26 (Green) |Solving 1st EQ for y, so as to have something to 'substitute' for y in the 2nd EQ -6x + y = -37 -6x + (-3x+26) = -37 ||Substituting (-3x+26) for y gives the solution for x -9x = -63 x = 7 and Ordered pair (7,5) is the solution for this system of EQuations ```
 Numeric_Fractions/623672: x over 2 + x over 3 = 7 over 2 solve?1 solutions Answer 392225 by ewatrrr(10682)   on 2012-06-25 12:21:48 (Show Source): You can put this solution on YOUR website! ``` Hi, |Multiplying thru by 6 so as all denominators = 1 3x + 2x = 21 5x = 21 x = 4.2 and CHECKING our Answer*** ```
 Quadratic-relations-and-conic-sections/623675: What are the vertices of the ellipse given by the equation x2 + 4y2 + 10x  56y + 205 = 0? ?1 solutions Answer 392224 by ewatrrr(10682)   on 2012-06-25 12:03:28 (Show Source): You can put this solution on YOUR website! ``` Hi, x2 + 4y2 + 10x  56y = -205 |completing the Square (x+5)^2 + 4(y-7)^2 = -205 + 25 + 196 = 16 C(-5,7) and V(-1,7),V(-9,7) & V(-5,9), V(-5,5) 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 right and left is: with C(h,k) and vertices 'a' units right and left of center Foci are units right and left of center along y = k & Asymptote Lines passing thru C(h,k), with slopes m = ± b/a 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 Foci units units up and down from center, along x = h & Asymptote 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. The standard form is , where the focus is (h,k + p) the vertex form of a Parabola opening right(a>0) or left(a<0), where(h,k) is the vertex. The standard form is , where the focus is (h +p,k ) ```
 Quadratic-relations-and-conic-sections/623676: What is the length of the minor axis of the ellipse given by the equation x^2/144 + y^2/25 = 1?1 solutions Answer 392221 by ewatrrr(10682)   on 2012-06-25 11:41:15 (Show Source): You can put this solution on YOUR website! ``` Hi, What is the length of the minor axis of the ellipse given by the equation ||length of the minor axis = 2*5 = 10 ```
 Coordinate-system/623679: Solve each system by graphing 2x+y=2 2x+y=81 solutions Answer 392218 by ewatrrr(10682)   on 2012-06-25 11:30:10 (Show Source): You can put this solution on YOUR website! ``` Hi, Solve each system by graphing 2x+y=2 Points (0,2) and (1,0) on this line 2x+y=8 Points (0,8) and (4,0) on this line Plot points and connect with respective lines. Lines parallel. NO solution for this system of equations ```
 Polynomials-and-rational-expressions/623674: Which of the following is a factor of x2+ 2x  48? x  8 x + 12 x  6 None of the above I'm confused couldn't it be a or c1 solutions Answer 392214 by ewatrrr(10682)   on 2012-06-25 11:25:01 (Show Source): You can put this solution on YOUR website! ``` Hi, x^2+ 2x  48 | Note use of ^ (uppercase 6) factoring: (x+8)(x-6) | watch Your signs while factoring... Outside terms and Inside terms = 2x F First terms x^2 O Outside terms -6x I Inside terms 8x L Last terms -48 ```
 Equations/623620: Find the sum of the first 32 terms of the following sequence: -10, -2, 6 . . . 1 solutions Answer 392213 by ewatrrr(10682)   on 2012-06-25 11:20:13 (Show Source): You can put this solution on YOUR website! ``` Hi, Find the sum of the first 32 terms of the following sequence: {-10, -2, 6 . . .} arithmetic sequence d = 8 ```
 Polynomials-and-rational-expressions/623644: What are the zeros of the function? Graph the function. y = (x+3)(x-3)(x-4)1 solutions Answer 392207 by ewatrrr(10682)   on 2012-06-25 11:05:29 (Show Source): You can put this solution on YOUR website! ``` Hi, · The factor theorem states that a polynomial f(x) has a factor (x − k) if and only if f(k) = 0 y = (x+3)(x-3)(x-4), zeros are x = -3,3,4 y = (x+3)(x-3)(x-4) = (x^2-9)(x-4)= x^3 -4x^2-9x + 36 y-intercept is (0,36) ```
 Polynomials-and-rational-expressions/623649: Find all the zeros of the equation -4x^4 - 44x^2 + 3600 = 01 solutions Answer 392205 by ewatrrr(10682)   on 2012-06-25 10:49:19 (Show Source): You can put this solution on YOUR website! ``` Hi, Find all the zeros of the equation: -4x^4 - 44x^2 + 3600 = 0 | Let X = x^2 -4X^2 - 44X + 3600 = 0 X^2 + 11X - 900 = 0 X = 25 OR X = -36 x^2 = 25, x= ±5 Zeros x^2 = -36 x = ±6i ```
 Numbers_Word_Problems/623650: Word problems .three quarters of the sum of two numbers is 6,while one half of their difference is 1 . How do I calculate the numbers1 solutions Answer 392200 by ewatrrr(10682)   on 2012-06-25 10:31:20 (Show Source): You can put this solution on YOUR website! ``` Hi, · three quarters of the sum of two numbers is 6,while one half of their difference is 1 Let x and y represent these numbers Question states*** x + y = 8 x - y = 2 2x = 10 x = 5 and ```
 Linear_Equations_And_Systems_Word_Problems/623653: How to graph the following: y = -5 x = 11 solutions Answer 392199 by ewatrrr(10682)   on 2012-06-25 10:21:32 (Show Source): You can put this solution on YOUR website! ``` Hi, · How to graph the following: y = -5 Horizontal Line (Green) x = 1 Vertical Line (blue) ```
 Polynomials-and-rational-expressions/623651: Divide -3x3 - 2x2 - x - 2 by x  21 solutions Answer 392196 by ewatrrr(10682)   on 2012-06-25 10:19:27 (Show Source): You can put this solution on YOUR website! ``` Hi, Divide -3x^3 - 2x^2 - x - 2 by x  2 |Note use of ^ (uppercase 6) Using Synthetic Division: 2 -3 -2 -1 -2 -6 -16 -34 -3 -8 -17 -36 = -3x^2 - 8x - 17 R = -36 ```
 Exponents/623648: Not sure if this is right place to ask this question: The problem had a step in it: First rewrite the value of f(x) in exponential form, with base 8. f(x)=1/512 = 1/8^3 = 8^-3 I understand that 8^3 equals 1/512, just not what steps they took. Is there an easy way to figure out the exponential form of a number? Also, why did the exponent become negative at the end step? Thank you.1 solutions Answer 392192 by ewatrrr(10682)   on 2012-06-25 10:10:59 (Show Source): You can put this solution on YOUR website! ``` Hi, As to 512 being 8^3 ... some just know that... others arrives at that by experimenting dividing 512 by logical selections.. like an 6 or 8 ****** ******** ```
 Linear-systems/623630: Solve the system by elimination. 1) -3x+y=7 4x-2y=3 2) 2x-3y=7 4x-5y=3 Thank you please solve. :)1 solutions Answer 392191 by ewatrrr(10682)   on 2012-06-25 10:00:49 (Show Source): You can put this solution on YOUR website! ``` Hi, -6x+2y=14 | Multiplying (-3x+y = 7) by 2 to eliminate the y variable 4x-2y=3 -2x = 17, x = -17/2 and Ordered pair (-17/2, -37/2) is the solution for this sytem of equations -4x+6y= -14 | Multiplying (2x-3y = 7) by -2 to eliminate the x variable 4x-5y= 3 y = -11 and Ordered pair (-13, -11) is the solution for this sytem of equations ```
 Polynomials-and-rational-expressions/623638: What is the equation of y = x3 with the given transformations? horizontal translation right 10 units and vertical translation down 12 units1 solutions Answer 392189 by ewatrrr(10682)   on 2012-06-25 09:41:31 (Show Source): You can put this solution on YOUR website! ``` Hi What is the equation of y = x^3 with the given transformations? horizontal translation right 10 units and vertical translation down 12 units y = (x-10)^3 -12 Might recommend downloading the FREE graph software at http://www.padowan.dk.com to use in 'checking' Your answers. Picture is worth a 1000 words! ```
 Money_Word_Problems/623632: If \$3,800 is invested in a savings account for which interest is compounded quarterly, and if the \$3,800 turns into \$4,300 in 2 years, what is the interest rate of the savings account? 1 solutions Answer 392188 by ewatrrr(10682)   on 2012-06-25 09:30:34 (Show Source): You can put this solution on YOUR website! ``` Hi, In General A = Accumulated Amount \$4,300 P= principal = \$3,800 r= annual rate = . n= periods per year = 4 t= years = 2 log(43/38) =8 log(1 + r/4) .0067 = log(1 + r/4) 10^(.0067) = 1 + r/4 | Solve for r ```
 Coordinate-system/623365: The base of an equilateral triangle with side 2a lies along the y-axis such that mid-point of the base is the at the origin.find the vertices of the triangle.pls...guide me with the steps.pls do help me.1 solutions Answer 392060 by ewatrrr(10682)   on 2012-06-24 09:03:40 (Show Source): You can put this solution on YOUR website! ``` Hi, ·The base of an equilateral triangle with side 2a lies along the y-axis such that mid-point of the base is the at the origin. Note below when a = 1, then is the distance along the x-axis Vertices of the Triangle described: (0,a), (0,-a), (a,0) ```
 Rate-of-work-word-problems/623371: my question: a man and a boy complete work together in 24 days. if for the last 6 days man alone does the work then it is completed in 26 days, how long will the boy takes to complete the work? ........Please help me out in detail answer, and formula. thank you. god bless1 solutions Answer 392056 by ewatrrr(10682)   on 2012-06-24 08:26:39 (Show Source): You can put this solution on YOUR website! ``` Hi, a man and a boy complete work together in 24 days.*** if for the last 6 days man alone does the work then it is completed in 26 days, how long will the boy takes to complete the work? Let x and y represent one's day work by the man and boy respectively Question states*** or y = 1/24-x , x = 1/32 and would take the boy 96 days alone CHECKING our Answer*** ```
 Permutations/623361: A commitee of 6 members is formed out of 7 men and 5 women.how many commitees can be formed so that at least 1 woman is always on the commitee?1 solutions Answer 392055 by ewatrrr(10682)   on 2012-06-24 08:11:38 (Show Source): You can put this solution on YOUR website! ``` Hi A commitee of 6 members is formed out of 7 men and 5 women. how many commitees can be formed so that at least 1 woman is always on the commitee? 12C6 - 7C6*5C0 ```