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

 Complex_Numbers/397200: preform the operation and get your answer in reduced form of a+bi. (2+i)/(-3-4i) i is acting as the imaginary number1 solutions Answer 281559 by ewatrrr(10682)   on 2011-01-20 07:42:04 (Show Source): You can put this solution on YOUR website! ``` Hi ```
 Proportions/397204: Solve for the unknown in each of the following proportions.0.5/a=1.25/5 Could someone please show me how to do this?1 solutions Answer 281558 by ewatrrr(10682)   on 2011-01-20 07:35:29 (Show Source): You can put this solution on YOUR website! ``` Hi | Recommend cross multiplying to solve for a 1.25a = .5*5 |* indicates completing the 'cross multiplication' process a = 2.5/1.25 | .5 multiplied by 5 is 2.5 a = 2 ```
 Linear-equations/397205: The line of which equation below is parallel to the line y=5/8x–2? A) y=5/8x+5 B) y=-5/8x–2 C) y=-8/5x+5 D) y=8/5x–4 1 solutions Answer 281557 by ewatrrr(10682)   on 2011-01-20 07:32:41 (Show Source): You can put this solution on YOUR website! ``` Hi referring to 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= 5/8x –2 has a slope m = (5/8). A line parallel to it would have a slope m =5/8 as parallel lines have slopes that are equal to one another ```
 Linear-equations/397206: The line of which equation below is perpendicular to y=5/8x–2? A) y=5/8x+5 B) y=-5/8x–2 C) y=-8/5x+5 D) y=8/5x–4 1 solutions Answer 281556 by ewatrrr(10682)   on 2011-01-20 07:29:46 (Show Source): You can put this solution on YOUR website! ``` Hi referring to 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= 5/8x –2 has a slope m = (5/8). A line ⊥ to it would have a slope m = -8/5 as ⊥ lines have slopes that are 'negative reciprocals' of one another ```
 Linear-equations/396829: How do I graph 4x+y=-71 solutions Answer 281410 by ewatrrr(10682)   on 2011-01-19 16:39:42 (Show Source): You can put this solution on YOUR website! ``` Hi the standard slope-intercept form for an equation of a line y = mx + b where m is the slope and b the y-intercept. I. solve for y 4x + y= -7 |solving for y y = -4x - 7 Slope m = -4 and y-intercept is -7 II. Plot the y-intercept Pt(0,7) III. using the slope of -4/1 to plot one or two more points: (-1,-3)for ex m = -(4/1) as y increases/decreases by 4, x value changes by 1 in the opposite direction IV. connecting points with a line completes the graphing ```
 Polynomials-and-rational-expressions/396823: 10cm^3 of a normal speciman of human blood contains 1.2g of hemoglobin. How many grams does 39cm^3 of the same blood contain?1 solutions Answer 281409 by ewatrrr(10682)   on 2011-01-19 16:26:29 (Show Source): You can put this solution on YOUR website! ``` Hi Let x represent the grams of hemoglobin in 39cm^3 Question Sets Up the Proportion*** |cross multiply to solve for x 10cm^3x = 1.2g*39cm^3 x = 1.2g*39cm^3/10cm^3 x = 4.68g ```
 Rational-functions/396745: given a polynomial and one of its factors,find the remaining factors of the polynomial.some of the factors may not be binomials. 16x^3-144x^2-81x+729;x-91 solutions Answer 281407 by ewatrrr(10682)   on 2011-01-19 16:21:19 (Show Source): You can put this solution on YOUR website! ``` Hi 16x^3-144x^2-81x+729 |dividing by (x-9) (x-9) (16x^2 - 81) (x-9)(4x-9)(4x +9) ```
 expressions/396815: simplify 2w + 8w + 51 solutions Answer 281403 by ewatrrr(10682)   on 2011-01-19 16:02:59 (Show Source): You can put this solution on YOUR website! ``` Hi simplifying 2w + 8w + 5 |Combining Like terms 10w + 5 ```
 expressions/396812: is 23 a solution to x + 22 = 46?1 solutions Answer 281400 by ewatrrr(10682)   on 2011-01-19 16:01:57 (Show Source): You can put this solution on YOUR website! ``` Hi x + 22 = 46 |isolating x on one side of the equation to find the solution x + 22 - 22 = 46 - 22 |subtracting 22 from both sides of equation x = 24 ```
 Linear_Equations_And_Systems_Word_Problems/396810: How do I solve the following: The three angles in a triangle always add up to 180 degrees. If one angle in a triangle is 72 degrees and the second is 2 times the third, what are the angles?1 solutions Answer 281397 by ewatrrr(10682)   on 2011-01-19 15:58:51 (Show Source): You can put this solution on YOUR website! ``` Hi the second is 2 times the third Let x and 2x represent the third and second angles respectively question states*** 72° + 2x + x = 180° solving for x 3x = 108° x = 36°, the second angle. The third is 72° (2*36°) CHECKING our Anwer 72° + 36° + 72° = 180° ```
 Equations/396804: x + 4 < 3 and -4x < -12 Solve, Graph and write the interval notation. Please help.1 solutions Answer 281395 by ewatrrr(10682)   on 2011-01-19 15:52:26 (Show Source): You can put this solution on YOUR website! ``` Hi x + 4 < 3 x < -1 to the Left of -1 on number Line -4x < -12 x > 3 to the Right of 3 on number Line these two Inequalities have NO numbers in common ```
 Equations/396806: 3z + 7 > 2z + 3 Solve and write in interval notation Thanks1 solutions Answer 281392 by ewatrrr(10682)   on 2011-01-19 15:46:52 (Show Source): You can put this solution on YOUR website! ``` Hi 3z + 7 > 2z + 3 z > -4 z = (-4,) ```
 Inequalities/396803: -6x > -24 and x + 6 > 5 solve the inequality and graph the solution set and write in interval notation. Please help1 solutions Answer 281389 by ewatrrr(10682)   on 2011-01-19 15:43:47 (Show Source): You can put this solution on YOUR website! ``` Hi -6x > -24 OR x < 4 |dividing by negtive number reverses the direction of the Inequality x + 6 > 5 OR x > -1 (-1,4) is the interval notation for the solution set On the number line, the portion of the line between -1 and 4 would represent the solution set of these Inequalities (open circles on the -1 and 4) ```
 Angles/396797: If angle 1 is 6 more than 3 times its supplement(angle 2), then what is angle 1 and angle 2? I have a big test on questions like this tommorow and I don't really know how to solve them. If you could help that would be great!1 solutions Answer 281387 by ewatrrr(10682)   on 2011-01-19 15:35:33 (Show Source): You can put this solution on YOUR website! ``` Hi angle 1 is 6 more than 3 times its supplement(angle 2), Let x and (3x + 6) represent ∠2 and ∠1 Questions states***(Note: sum of supplementary angles is 180° x + (3x + 6) = 180° solving for x 4x = 174° x = 43.5°, meausre of ∠2. Meausre of ∠1 is 136.5° (3*43.5°+ 6°) CHECKING our Answer 43.5° + 136.5° = 180° Note: If a question is regarding 'complementary' Angles: their sum is 90° ```
 Permutations/396791: If 5 students are all sitting in a row of seats, In how many different ways can they seat themselves?1 solutions Answer 281382 by ewatrrr(10682)   on 2011-01-19 15:22:08 (Show Source): You can put this solution on YOUR website! ``` Hi how many different ways can 5 students be seated in a row? 5! = 5*4*3*2*1 = 120 ways ```
 Miscellaneous_Word_Problems/396754: The coins in the store's cash register total \$12.50. The cash register contains only nickels, dimes, and quarters. There are twice as many dimes as nickels. There are also twice as many quarters as dimes. How many quarters are in the cash register?1 solutions Answer 281379 by ewatrrr(10682)   on 2011-01-19 15:20:32 (Show Source): You can put this solution on YOUR website! ``` Hi Let x, 2x, 4x represent the number of nickels,dimes and quarters respectively Questions states*** Cents amke sense! 5x + 10*2x + 25*4x = 1250 CENTS solving for x 125x = 1250 x = 10, the number of nickels. There are 20 dimes and 40 quarters CHECKING our Answer 50 + 200 + 1000 = 1250 or \$12.50 ```
 Complex_Numbers/396765: John has two investments that produce a \$150 income each month. If \$1000 more is invested at 9% than at 10% per year, how much was invested at each percent? There were 12 months in that year,1 solutions Answer 281377 by ewatrrr(10682)   on 2011-01-19 15:14:16 (Show Source): You can put this solution on YOUR website! ``` Hi If \$1000 more is invested at 9% than at 10% per year Let x and (x+1000) represent the amount at 10% and 9% respectively question states*** \$150/mo (interst over 12months) .10x + .09(x+1000) = \$1800 solving for x .19x + 90 = 1800 .19x = 1710 x = \$9000, amount invested at 10%. 10,000 at 9% CHECKING our Answer*** \$900 + \$900 = \$1800 ```
 Linear_Equations_And_Systems_Word_Problems/396781: Two mechanics worked on a car. The first mechanic worked for 5 hours and the second mechanic worked for 15 hours. together they charged a total of \$1500. What was the rate charged per hour by each mechanic if the sum of the two rates was \$130 per hour.1 solutions Answer 281374 by ewatrrr(10682)   on 2011-01-19 15:03:44 (Show Source): You can put this solution on YOUR website! ``` Hi sum of the two rates was \$130 per hour Let x and (130 - x) represent the \$/hr of the 15hr and 5hr mechanics respectively Questions states*** x*15hr + (130-x)5hr = \$1500 solving for x 15x -5x + 650 = 1500 10x = 850 x = \$85 for one mechanic. the other \$45 (\$130 - \$85) CHECKING our Answer 15*\$85 + 5*\$45 = \$1500 ```
 Equations/396768: what is the algebraic expression for the sum of a and 9 1 solutions Answer 281373 by ewatrrr(10682)   on 2011-01-19 14:54:30 (Show Source): You can put this solution on YOUR website! ``` Hi 'sum of a and 9' Write as we Read*** a + 9 ```
 Complex_Numbers/396769: It takes a computer 8 days to print all the letters. A new computer can do the same job in 5 days. How long would it take to do the job with both computers working on it?1 solutions Answer 281372 by ewatrrr(10682)   on 2011-01-19 14:52:49 (Show Source): You can put this solution on YOUR website! ``` Hi Let x represent the days it would take with both computers working on it Question states***per day the Equalizer 1/8 + 1/5 = 1/x |mulitplying each term by 40x so as all denominators = 1 5x + 8x = 40 13x = 40 x = 40/13 = 3.0769 days with both computers working on it ```
 Complex_Numbers/396771: Hello, I am struggling with this complex numbers problem: If z=6√(3)(cos330°+i*sin330°) in trigonometric form, find z in standard form. √=radical Thank you for your time! 1 solutions Answer 281371 by ewatrrr(10682)   on 2011-01-19 14:46:45 (Show Source): You can put this solution on YOUR website! ``` Hi cos330° = sin330° = -1/2 thought You might find this (cosx,sinx) summary helpful ```
 Triangles/396759: A triangle has a perimeter of 84 centimeters. each of the two longer sides of the triangle is three times as long as the shortest side. find the lengh of each side of the triangle. 1 solutions Answer 281370 by ewatrrr(10682)   on 2011-01-19 14:11:31 (Show Source): You can put this solution on YOUR website! ``` Hi each of the two longer sides of the triangle is three times as long as the shortest side Let x, 3x and 3x represent the length of the sides Question states*** x + 3x + 3x = 84cm solving for x 7x = 84cm x = 12cm, the shortest side, the other two sides are 36cm and 36cm CHECKING our Answer 12cm + 36cm + 36cm = 84cm ```
 Numbers_Word_Problems/396758: translate the given situation into an equation,then solve it. two thirds of a number is obtained by adding 7 to its triple1 solutions Answer 281368 by ewatrrr(10682)   on 2011-01-19 14:07:58 (Show Source): You can put this solution on YOUR website! ``` Hi Let x represent the nember Write as we Read*** (2/3)x = 3x+ 7 solving for x -7 = 7/3x -3 = x CHECKING our Answer*** (2/3)*-3 = -6/3 = -2 = 3*-3 + 7 ```
 Age_Word_Problems/396755: Little Amanda is visiting grandmother. "How old are you really, Grandma?" asks Amanda. "Three years ago I was six times as old as you. In three years I'm four times as old as you," replies the grandmother. How old is Amanda? And how old is grandma? 1 solutions Answer 281365 by ewatrrr(10682)   on 2011-01-19 14:04:04 (Show Source): You can put this solution on YOUR website! ``` Hi Three years ago I was six times as old as you Let x and 6x represent Amanda's and her grandmother's ages '3 years ago' Question states*** 6 years after that time... 6x + 6 = 4(x + 6) solving for x 6x + 6 = 4x + 24 2x = 18 x = 9, Amanda's age 3 year ago. Her grandmother was then 54. NOW, the grandmother is 57 CHECKING our Answer*** (Amanda is NOW 12) 57 + 3 = 4(12 + 3) = 60 ```
 Geometry_Word_Problems/396750: The area of the wall you are going to paint is 50 feet square. If the width is half the height what are the dimensions of the wall?1 solutions Answer 281363 by ewatrrr(10682)   on 2011-01-19 13:57:05 (Show Source): You can put this solution on YOUR website! ``` Hi width is half the height Let x and x/2 represent height and width respectively Question states*** x(x/2) = 50 ft^2 solving for x x^2/2 = 50 ft^2 x^2 = 100 ft^2 x = ± 10 |Tossing out negative solution for length x = 10ft, the height of the wall. the width is 5ft ((1/2)*10ft) ```
 Rational-functions/396702: the number of bacteria in a culture after t minutes is given as B=1000e^(kt). There are 4134 bacteria present after 4 minutes. Find k.1 solutions Answer 281350 by ewatrrr(10682)   on 2011-01-19 12:01:31 (Show Source): You can put this solution on YOUR website! ``` Hi B=1000e^(kt) Question states 4134/1000 = e^4k 4.134 = e^4k ln(4.134) = 1.4192 1.4192 = 4k .3548 = k ```
 Rational-functions/396701: simplify the expression using long division: (2x^2-33x+16) / (x-16)1 solutions Answer 281346 by ewatrrr(10682)   on 2011-01-19 11:52:55 (Show Source): You can put this solution on YOUR website!``` Hi |factoring the numerator Note:SUM of the inner product(-.5x) and the outer product(-16x) = (-33/2)x 2(x -.5) OR 2x + 1 ```
 Linear-equations/396697: write an equation in slope-intercept form of the line having the given slope and passing through the given point: m=-3, (4,-1)1 solutions Answer 281343 by ewatrrr(10682)   on 2011-01-19 11:43:42 (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. y = -3x + b |Using ordered pair Pt(4,-1) to solve for b -1 = -3*4 + b 11 = b y = -3x + 11 ```
 Money_Word_Problems/396677: A math teacher assigns one second of homework the first week of school, two seconds the second week, four seconds the third week, and so on. The student is aqsked whether she would agree to this weekly homework doubling for the duration of the 36-week school year. Homw much homework in hours would this plan require in week 36?1 solutions Answer 281339 by ewatrrr(10682)   on 2011-01-19 11:34:30 (Show Source): You can put this solution on YOUR website! ``` Hi 1 hr = 3600 sec or week 13 would be ~ 1hr of homework Let n represent the number of weeks 1,2,4,8,16,32,64,128,256,512,1024,2048,4096... a[n] = 2^(n – 1) a[36] = 2^35 = 34,359,738,368 sec = 9,544,371.7689 hr ```
 Exponential-and-logarithmic-functions/396672: supose an investment of 4,500 doubles in value every ten years how much is the investment worth after 50 years?1 solutions Answer 281333 by ewatrrr(10682)   on 2011-01-19 11:06:09 (Show Source): You can put this solution on YOUR website!``` Hi A= p(1+r/n) ^nt A/p = 2 = (1+r) ^10 1.0718 = (1+r) .0718 = r A = \$4500(1.0718)^50 A = \$144,178.38 ```
 Money_Word_Problems/396673: To make a special mix for Valentine's Day, the owner of a candy store wants to combine chocolate hearts that sell for \$5 per pound with candy kisses that sell for \$3.50 per pound. How many pounds of each kind should be used to get 30 pounds of a mix that can be sold for \$4.50. 1 solutions Answer 281331 by ewatrrr(10682)   on 2011-01-19 10:58:29 (Show Source): You can put this solution on YOUR website! ``` Hi Let x and (30-x) represent the amount of the \$5 and \$3.50/lb candies respectively Question states*** Mixing to form 30lbs of \$4.50/lb 5x + 3.50(30-x) = 4.50*30 1.5x = 1*30lb x = 1*30lb/1.5 x = 20lb, the amount of the chocolate hearts 10lb of the candy kisses CHECKING our Answer 5*20 + 10*3.50 = 100 + 35 = 4.50*30 = ```