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 'richwmiller'

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, >>Next

 Quadratic_Equations/283235: Factor completely. a^5 - 625a1 solutions Answer 205603 by richwmiller(9135)   on 2010-03-20 19:06:59 (Show Source): You can put this solution on YOUR website!a*(a^4-625)= a*(a^2-25)*(a^2+25)= a*(a-5)(a+5)(a^2+25)
 Rate-of-work-word-problems/283215: The time T to do a job varies inversely as the number of people P working. It takes 10 hours for 5 bricklayers to build a park wall. How long will it take for 12 bricklayers to complete the job? 1 solutions Answer 205600 by richwmiller(9135)   on 2010-03-20 18:58:31 (Show Source): You can put this solution on YOUR website!10 hours and 5 bricklayers means 10*50 manhours needed assuming that everyone works at the same level and pace (which we know isn't true) 50/12=4 hours and 10 minutes
 Polynomials-and-rational-expressions/283220: Factor each binomial completely given that the second binomial is a factor of the first binomial. 2x^3 - 5x^2 - x - 6; x-31 solutions Answer 205599 by richwmiller(9135)   on 2010-03-20 18:54:01 (Show Source): You can put this solution on YOUR website!(x-3)(2x^2+x+2) the second factor cannot be factored anymore.
 Quadratic_Equations/283224: Simplify by taking roots of the numerator and the denominator. Assume that all expressions under radicals represent positive numbers. The three should be on the radical, I just couldn't figure out how to get it on there. 1 solutions Answer 205598 by richwmiller(9135)   on 2010-03-20 18:47:00 (Show Source): You can put this solution on YOUR website! Surround all of this with three{ and three } root(3,(729x^8/(y^3))) (9 x^(8/3))/y
 Rational-functions/283217: Find the following. assume that variables can represent any real number square root(a+4)^21 solutions Answer 205595 by richwmiller(9135)   on 2010-03-20 18:21:44 (Show Source): You can put this solution on YOUR website!a+4 and -(a+4)
 Numbers_Word_Problems/283192: A ladder is resting against a wall. The top of the ladder touches the wall at a height of 18 feet. Find the length of the ladder if the length is 6 feet more than its distance from the wall. 1 solutions Answer 205582 by richwmiller(9135)   on 2010-03-20 16:41:40 (Show Source): You can put this solution on YOUR website!a^2+b^2=c^2 c=b+6 18^2+b^2=(b+6)^2 324+b^2=(b+6)^2 b^2+324=b^2+12b+36 0= 12b-288 288=12b 24=b c=30
 Numeric_Fractions/283191: Ok so im on adding and subtracting mixed numbers and Im so confused on how the numerator is changing with the denominator...I dont no if im making sense but here is an example... 9 3/4 + 8 5/6 the numerators changed to 9 9/12 and 8 10/12 so confused I understand how to find everything else but that!1 solutions Answer 205580 by richwmiller(9135)   on 2010-03-20 16:27:26 (Show Source): You can put this solution on YOUR website!9 3/4 + 8 5/6 9 9/12 and 8 10/12 Maybe if I ask you some questions it will clear up what is happening. Do you see how 3/4=9/12 ? Do you see why 5/6=10/12 ? Can you add 9 3/4 + 8 5/6 ? Can you add 9 9/12 and 8 10/12 ? How would you go about adding 9 3/4 + 8 5/6 ? What would you do first? What would you do next?
 test/283189: Jeremy caught 8 fish in a contest. The mean weight of the fish was 4.45kg. He forgot to make his own record of the weight of the last fish,but the first 7 were: 4.1kg 5.4kg 6.9kg 2.4kg 3.9kg 4.4kg 4.6kg What was the weight of the last fish?1 solutions Answer 205579 by richwmiller(9135)   on 2010-03-20 16:20:46 (Show Source): You can put this solution on YOUR website!add up the 7 fish weights that were given let that =s let w be the forgotten weight (s+w)/8=4.45
 Geometric_formulas/283148: V=1/3 Bh; B=12, h=131 solutions Answer 205578 by richwmiller(9135)   on 2010-03-20 16:17:34 (Show Source): You can put this solution on YOUR website!just plug in 12 for b and 13 for h v=1/3*12*13
 Polynomials-and-rational-expressions/283115: z-4/z+2=1/6 Solution for z = ?1 solutions Answer 205574 by richwmiller(9135)   on 2010-03-20 16:08:18 (Show Source): You can put this solution on YOUR website! answer 26/5 or 5.2 or 5 1/5 6*(z-4)=z+2 6z-24=z+2 5z=26 z=26/5
 Expressions-with-variables/283171: Using the substitution method solve the system of equations: y = 2x – 6 y = x – 5 1 solutions Answer 205570 by richwmiller(9135)   on 2010-03-20 15:54:57 (Show Source): You can put this solution on YOUR website!since they both equal y, set them equal to each other and solve for x
 Polynomials-and-rational-expressions/283187: what are the possible number of positive,negative,and imaginary roots of f(x)=x3-2x2-3x-201 solutions Answer 205569 by richwmiller(9135)   on 2010-03-20 15:52:53 (Show Source): You can put this solution on YOUR website!there are three roots- one real root and two complex roots f(x)=(x-4)*(x^2+2x+5)
 Travel_Word_Problems/283147: Trying to complete a Wind Speed word problem. I know I need to use the distance formula D=rt but am not sure what to plug in where. The question is: An executive flew to a meeting in a city 1500k away. After traveling the same amount of time on the return flight, the pilot mentioned that they still had 300k to go. The air speed of the plane is 600k per hour. How fast was the wind blowing? (Assume the wind direction was parallel to the fligh path and constant all day.)1 solutions Answer 205568 by richwmiller(9135)   on 2010-03-20 15:48:20 (Show Source): You can put this solution on YOUR website!d=r*t d=(r+w)*t 1500=(600+w)*t 1500-300=(600-w)*t t = 9/4, w = 200/3 The problem is unclear about what the air speed of the plane means. Is that the speed of the plane with the drag of the wind or the speed of the plane without wind. I calculated it as the speed of the plane without any wind.
 Equations/283164: 1 solutions Answer 205564 by richwmiller(9135)   on 2010-03-20 15:18:26 (Show Source): You can put this solution on YOUR website!This a difference of squares. Consider (3x+1) as a and 6 as b since 6^2=36 a^2-b^2=(a-b)*(a+b) (3x+1-6)*(3x+1+6)=0 add the numbers set each factor to zero and solve
 Expressions-with-variables/283180: Solve for y: 5(y + 3) = -2 (y – 4) 1 solutions Answer 205563 by richwmiller(9135)   on 2010-03-20 15:06:00 (Show Source): You can put this solution on YOUR website!5(y + 3) = -2 (y – 4) get rid of the parentheses 5*y+3*5=-2*y+2*4 [- times - equals +] combine like terms and add
 Expressions-with-variables/283176: Evaluate the expression: 4x^2 – 2x ; for x = - 3 1 solutions Answer 205562 by richwmiller(9135)   on 2010-03-20 15:03:23 (Show Source): You can put this solution on YOUR website!4x^2 – 2x for every x plug in (-3) 4*(-3)^2-2*(-3) now work them out separately break them down into easy parts what is (-3)^2 (-3)^2 means (-3)*(-3) ? what is 2*(-3) Let me know when you get that much and we can continue by email if you really want to learn.
 Polynomials-and-rational-expressions/283165: solve using the principles of 0 products b(b + 16)(b + 3)=01 solutions Answer 205561 by richwmiller(9135)   on 2010-03-20 14:44:23 (Show Source): You can put this solution on YOUR website!set each factor to zero and solve first one is trivial b=0 b+16=0 and b+3=0 now solve them.
 Linear-equations/283150: Hello, I'm not quite sure how to "write an equation of the line that passes through the given points." An example is (-1,0), (0,-2) Thank You, Grace1 solutions Answer 205560 by richwmiller(9135)   on 2010-03-20 14:25:30 (Show Source): You can put this solution on YOUR website!We need to find two things suing the points. y=mx+b we need to find m the slope and b the y intercept. One of your points is the y intercept the y intercept is y when x=0 so that makes it very easy we just need to find m there are several ways to do that since we already have b the y intercept. y=mx-2 plug in either x and y 0=-1*m-2 2=-m m=-2 so now we plug in -2 for m and -2 for b y=-2x-2 done This was unusual since we had the y intercept. That is not the normal way to do it. starting all over The more common way would be (-1,0), (0,-2) y-y/x-x=m -2-0/0-(-1)=m -2/1=-2=m now we have the slope m=-2 y=mx+b pick either point 0=-1*-2+b 0=2+b -2=b y=-2x-2 same answer slightly different way to find it. It is also a bit odd that the slope m and the y intercept b are the same.
 Polynomials-and-rational-expressions/283144: factor out the largest common factor...y^8 - 16y^51 solutions Answer 205558 by richwmiller(9135)   on 2010-03-20 13:20:32 (Show Source): You can put this solution on YOUR website!y^5*(y^3-16)
 Polynomials-and-rational-expressions/283146: Factor completely x^2 - 16x + 641 solutions Answer 205557 by richwmiller(9135)   on 2010-03-20 13:19:22 (Show Source): You can put this solution on YOUR website!what two numbers (here they are the same) has the product of 64 and the sum of 16
 Graphs/283140: How to solve 3x-2y=10 2x+3y=-2 by graphing 1 solutions Answer 205556 by richwmiller(9135)   on 2010-03-20 13:17:50 (Show Source): You can put this solution on YOUR website!I just solved this one by substitution and by elimination.
 Rational-functions/283141: I'm getting a little lost on these... 5 - 2 __ n-3 ___________ 4 - 1 __ n-3 I know I need the same on the botton...but can't seem to come up with the right answer...Thanks for your help!!!!!1 solutions Answer 205555 by richwmiller(9135)   on 2010-03-20 13:14:29 (Show Source): You can put this solution on YOUR website!If the numerator reads 5-(2/(n-3)) and the denominator reads and the whole mess is then multiply the whole shebang by which will get you
 logarithm/283139: Hi, I thought I was finally getting the hang of this? I was hit with Find the natural logarithm of the given number, 68.5 I finally understand how to solve equations with the logs, etc.. But I have never just dealt with one number. Is someone able to tell me how i go about this, do I find a way to put in an equation form? Thanks!! Nathalie1 solutions Answer 205552 by richwmiller(9135)   on 2010-03-20 13:00:52 (Show Source): You can put this solution on YOUR website! natural log(68.5) = 4.22683375
 Quadratic_Equations/283119: Bsed on this data, who would you say is a safer driver: a 16 year old, or a 70 year old? Age Accidents per 100 Million miles driven 25 430 30 340 40 220 45 190 55 190 60 220 Explain your answer. Use the quadratic equation and graph to solve.1 solutions Answer 205549 by richwmiller(9135)   on 2010-03-20 12:51:01 (Show Source): You can put this solution on YOUR website!You don't need anything fancy to tell that the best drivers are around 50 The younger drivers are the worst.
 Percentage-and-ratio-word-problems/283132: Patricia has two jobs at the supermarket she works 15 hours every week and makes 120 dollars there every week at the restaurant she works 15 hours a week and get 150 dollars a week in percentage how much more does patricia earn at the restaurant than the supermarket1 solutions Answer 205547 by richwmiller(9135)   on 2010-03-20 12:44:52 (Show Source): You can put this solution on YOUR website!(150/120)=15/12=(5/4)*100=125% of the supermarket 25% more than the supermarket.
 Linear-equations/283134: 1 solutions Answer 205544 by richwmiller(9135)   on 2010-03-20 12:27:57 (Show Source): You can put this solution on YOUR website!Some website rules that you won't like. 1- ONE (1) problem per submission 2- NO similar problems 3- Limit Four(4) submissions daily
 Linear-systems/283131: 3x-2y=10, 2x+3y=-2 by substitution1 solutions Answer 205543 by richwmiller(9135)   on 2010-03-20 12:25:32 (Show Source): You can put this solution on YOUR website!substitution is the harder way to go. This was made for elimination or subtraction/addition 3x-2y=10 2x+3y=-2 First by elimination or addition multiply first by 3 and second by 2 9x-6y=30 4x+6y=-4 add 13x=26 x=2 2x+3y=-2 4+3y=-2 3y=-6 y=-2 (2,-2) now by substitution 3x-2y=10 2x+3y=-2 solve first for x 3x=10+2y x=10/3+2y/3 plug it in the second 2*(10/3+2y/3)+3y=-2 20/3+4y/3+3y=-2 multiply by 3 20+4y+9y=-6 13y=-26 y=-2 plug it in any equation and solve for x 3x-2y=10 3x-2*(-2)=10 3x+4=10 3x=6 x=2
 Travel_Word_Problems/283128: Spike averaged 45 mph driving from Rochester to Syracuse and 49 mph driving from Syracuse to Albany. If he drove a total of 237 miles in 5 hours, then how far is it from Syracuse to Albany?1 solutions Answer 205540 by richwmiller(9135)   on 2010-03-20 12:09:43 (Show Source): You can put this solution on YOUR website!45x+49y=237 x+y=5 There are several reasons why it is important to put your problem in the correct category. One some tutors only do specific types of problems. For others who actually look up similar problems. This same problem was solved a couple weeks ago.
 Quadratic_Equations/283130: Help me solve 4x + x(x-2)=0 1 solutions Answer 205538 by richwmiller(9135)   on 2010-03-20 12:05:00 (Show Source): You can put this solution on YOUR website!some website rules you will not like limit one problem per submission not two not three no similar problems limit 4 submissions daily 4x+x*(x-2)=0 deal with the parentheses first x^2-2x+4x=0 x^2+2x=0 x*(x+2)=0 x=0 x=-2 BTW Your second problem is incomplete. There is no equal sign I am not going to guess where it belongs but it might be identical to the first problem.
 Linear_Equations_And_Systems_Word_Problems/283125: Tickets for one show on the Harlem Globetrotters '2006 "Unstoppable" Tour cost \$14, \$20, or, for VIP seats, \$50. So far, five times as many \$14 tickets have been sold as VIP tickets. The number of \$14 tickets is 15 more than the sum of the number of \$20 tickets and the number of VIP tickets. Sales of all three kinds of tickets total \$11,700. how many of each kind of ticket have been sold? 1 solutions Answer 205537 by richwmiller(9135)   on 2010-03-20 11:56:41 (Show Source): You can put this solution on YOUR website! v=vip \$50 m= middle price \$20 r=regular admission \$14 50v+20m+14r=11700 5v=r r=15+m+v m = 225, r = 300, v = 60