Tutor:

New! Get regular updates about newly solved problems via algebra.com's RSS system.

---

Recent problems solved by 'richwmiller'

richwmiller answered: 9124 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, >>Next

Proportions/453914: Which of the following is a solution of the proportion 2x+3/5=x-2/6? a. -27/4 b. -4 c. -13/7 d. -8/7 1 solutions Answer 311766 by richwmiller(9135)   on 2011-05-25 09:58:26 (Show Source): You can put this solution on YOUR website! If you write as (2x+3)/5=(x-2)/6 then x=-4

Triangles/333327: The measures of two angles of an isosceles triangle are (3x + 4 and ( x +17) Find all possible values of x. 1 solutions Answer 238894 by richwmiller(9135)   on 2010-08-20 11:25:50 (Show Source): You can put this solution on YOUR website! Sorry but can't read the problem. What is after the 4?

Functions/333366: 1.) Solve by the elimination method: 7r-9s=-35 9r+7s=85 2.) Solve for the following system of equations: x+4y=2 x=8-4y 3.)Find the slope and the y-intercept: f(x)=-2x-3 4.)Solve. 0.9x+9<_1.7x-8 1 solutions Answer 238893 by richwmiller(9135)   on 2010-08-20 11:20:42 (Show Source): You can put this solution on YOUR website! You are allowed only one problem at a time #2 x+4y=2 x=8-4y rearrange x+4y=2 x+4y=8 they are parallel so there is no solution

Quadratic_Equations/333379: (x+3)^2 = (x-1)^2 The statement above is true for which of the following values of x ? (a) - 1 only (b) - 1 and 3 (c) - 3 and 1 (d) - 3 and 3 (e) - 2√2 and 2√2 (approximately - 2.83 and 2.83) 1 solutions Answer 238891 by richwmiller(9135)   on 2010-08-20 11:06:05 (Show Source): You can put this solution on YOUR website! There are at least two possible approaches. solve for x x+3=x-1 which yields no solutions or substitute possible solutions a) doesn't work b) doesn't work c) doesn't work d) doesn't work e) doesn't work I suspect you copied the problem incorrectly.

Equations/332772: 44444=0 1 solutions Answer 238890 by richwmiller(9135)   on 2010-08-20 11:01:33 (Show Source): You can put this solution on YOUR website! False

Equations/333350: Define a variable and write and algebraic equation to model each situation What is the amount of money in a bank containing only dimes? 1 solutions Answer 238889 by richwmiller(9135)   on 2010-08-20 11:00:52 (Show Source): You can put this solution on YOUR website! m= money in bank d= number of dimes 10d=m

Linear_Equations_And_Systems_Word_Problems/333370: Kay spends 250 minutes per week exercising. Her ratio of time spent on aerobics to time spent on weight training is 3 to 2. How many minutes per week does she spend on aerobics? How many minutes per week does she spend on weight training? 1 solutions Answer 238888 by richwmiller(9135)   on 2010-08-20 10:58:42 (Show Source): You can put this solution on YOUR website! 3x+2x=5x 250=5x 50=x 150 on aerobics 100 on weights

Human-and-algebraic-language/328791: Each coloured square has sides 3cm long. Find the lengths of the sides of the outer square, to the nearest millimeter. [Pythagorean Thereom] Please help me, thank you! 1 solutions Answer 238886 by richwmiller(9135)   on 2010-08-20 10:56:59 (Show Source): You can put this solution on YOUR website! Something is missing from this problem. Otherwise each side is 3 cm long.

Human-and-algebraic-language/331123: HAVING TROUBLE WITH THIS PROBLEM MICHELLE RODE HER BICYCLE FROM HER HOUSE TO SCHOOL AT AN RATE OF 8 MILES PER HOUR. LATER THAT DAY , SHE RODE FROM SCHOOL BACK HOME ALONG THE SAME ROUTE AT AN AVERAGE SPEED OF 12 MILES PER HOUR. IF THE ROUND TRIP TOOK HER 1 HOUR, HOW MANY MILES LONG IS THE ROUND TRIP. 1 solutions Answer 238884 by richwmiller(9135)   on 2010-08-20 10:55:03 (Show Source): You can put this solution on YOUR website! Having trouble reading this because you are shouting. Try again.

Human-and-algebraic-language/332934: Sarah bought 8 folders and 3 rulers. Leah bought 3 folders and 8 rulers. If Sarah's total purchase was $1.25 more than Leah's, how much was each folder? 1 solutions Answer 238883 by richwmiller(9135)   on 2010-08-20 10:53:22 (Show Source): You can put this solution on YOUR website! 8f+3r=s 3f+8r=L s-1.25=L s=L+1.25 Can you take it from here?

Human-and-algebraic-language/333358: How do you write the equation; divide the last 2 digits by 2? 1 solutions Answer 238881 by richwmiller(9135)   on 2010-08-20 10:50:55 (Show Source): You can put this solution on YOUR website! (10*a+b)/2=x where a equals the tens digit of the number and b is the ones digit of the number

Complex_Numbers/310368: Find Complex Roots: x^4 -11x^2 +28 =0 1 solutions Answer 221948 by richwmiller(9135)   on 2010-06-01 17:54:52 (Show Source): You can put this solution on YOUR website! let y^2=x^4 and y=x^2 y^2-11y+28=0 (y-4)*(y-7)=0 y=4 and y=7 x^2=4 x=+-2 x^2=7 x=+-sqrt(7) There are no complex roots.

Graphs/310079: Can anyone please explain how to get the plotting points for the graph using this equation x+4y=12 Can you please explain step by step as I can not seem to figure out where the numbers substituted come into play! Thank you 1 solutions Answer 221772 by richwmiller(9135)   on 2010-05-31 14:04:28 (Show Source): You can put this solution on YOUR website! It is a line. So you only need two points let x=0 4y=12 y=3 (0,3) let y=0 x=12 (12,0) So the two points are (0,3) and (12,0)

Travel_Word_Problems/309963: Hi just need some help on these word problems, trent can deliver his newspaper in 10 minutes. It takes Lois 40 minutes to do the same route. How long would it take if they worked together? thnks Kim 1 solutions Answer 221769 by richwmiller(9135)   on 2010-05-31 13:18:28 (Show Source): You can put this solution on YOUR website! x/10+x/40=1 4x+x=40 5x=40 x=8 minutes

Mixture_Word_Problems/309994: how many gallons of a 10% alcohol solution be mixed with 20 gallons of a 10% acid solution to obtain an 8% acid solution? The answer is 40/3. How do you solve the problem? 1 solutions Answer 221768 by richwmiller(9135)   on 2010-05-31 13:14:58 (Show Source): You can put this solution on YOUR website! This problem doesn't have enough info. First we are dealing with alcohol and acid.We don't know how much acid is in the alcohol solution nor how much alcohol is in the acid solution. I suspect you are copying the problem incorrectly.

Travel_Word_Problems/310064: I have difficulty translating word problems into equations. Translate the problem into a pair of linear equations in two variables. Solve the equations using either elimination or substitution. State your answer for the specified variable. Jill is 11 kilometers away from Joe. Both begin to walk toward each other at the same time. Jill walks at 2.5 km/h. They meet in 2 hours. How fast is Joe walking? Please show me how you determine the equation and how you solve for the answer. 1 solutions Answer 221767 by richwmiller(9135)   on 2010-05-31 12:55:32 (Show Source): You can put this solution on YOUR website! You knew it was a word problem but didn't classify it as one. l=jill e= joe l+e=11 r*t=d 2*l+2*e=11 2*2.5+2*e=11 5+2e=11 2e=6 e=3 Joe is walking at 3 kph

Rate-of-work-word-problems/310012: Jay can paint a car in six hours. Mike can paint the same car in 3 hours. If they work together, how long will it take them to paint the car? I can't figure it out, so if you could please help and tell me how you got the answer I would love to know what to do to figure it out. Please and Thank you. P.s sorry about the wrong topic my computer wouldnt let me select one. 1 solutions Answer 221766 by richwmiller(9135)   on 2010-05-31 12:48:45 (Show Source): You can put this solution on YOUR website! The other tutor's method worked easily because the answer was a whole number. This method works alll the time. x/6+x/3=1 x+2x=6 3x=6 x=2 They can do it in two hours

Exponents-negative-and-fractional/310023: can you help. I am trying to help my son with his algebra homework. His school does not send books home and I haven't used some of this in 20 years. The problem states. Write an equation for the nth term of -23,38,99,160 solution choices are a. b. c. d. 1 solutions Answer 221765 by richwmiller(9135)   on 2010-05-31 12:42:38 (Show Source): You can put this solution on YOUR website! As thorough as Edwin's answer is you don't have time on a test to go through all of that. On a test, you want the quickest solution. Of course Stan's method is the quickest. So let's say you didn't know Stan's method (Edwin's method1) We know we are going to lose time compared to method 1 It only involves a little multiplication and subtraction. Quickly try 1 for n in each. We see it has to be negative 23 a)38-61=-23 b)61-24=positive so move on. c)61-84=-23 d) -46 so it is between a and c try it for n=2 we need positive 38 76-61=15 122-84=38 that settles it Answer is c

Linear-equations/309478: Please show me the work for finding the slope and y-intercept for the graph of the equation 3x-7y=21. Appreciate the help. 1 solutions Answer 221350 by richwmiller(9135)   on 2010-05-28 17:24:04 (Show Source): You can put this solution on YOUR website! y=mx+b m is the slope b is the y intercept 3x-7y=21 turn it into y=mx+b

Quadratic_Equations/309481: Complete the square to make each binomial a perfect square trinomial x^2-12x 1 solutions Answer 221349 by richwmiller(9135)   on 2010-05-28 17:04:59 (Show Source): You can put this solution on YOUR website! add (-12/2)^2 x^2-12x+36 (x-6)^2

Mixture_Word_Problems/309483: what amount of each mixture, one 95% alcohol and the other 15% alcohol, must be used to make 10 liters of a mixture which is 45% alcohol? what equation or equations will express this problem? 1 solutions Answer 221345 by richwmiller(9135)   on 2010-05-28 17:01:45 (Show Source): You can put this solution on YOUR website! x+y=10 .95x+.15y=.45*10

Polynomials-and-rational-expressions/309410: Hi my name is ryan nd i dont understand. polynomials nd trinomials nd monomials at all. can u give me a question to show me how to do it so i can understand it better. 1 solutions Answer 221342 by richwmiller(9135)   on 2010-05-28 16:57:02 (Show Source): You can put this solution on YOUR website! Best we can do for you is refer you to your text book which has never been opened.

Miscellaneous_Word_Problems/309438: I got this equation so far for this problem but I am at a loss on how to solve it. Here is the word problem: Your business has the copy machine break down. After having it repaired, you receive a bill for a total of $140 for 8 hours of work. The bill is itemized to show that the full-time mechanic was paid $50 and the part-time mechanic was paid $90. There was more than one thing wrong and you opted to have the easy thing fixed by the parttime mechanic who earns $10 less per hour than the full-time mechanic. How many hours did each worker spend fixing the copier? My equation began with fulltime xt=50 and parttime (x-10)(8t)=90. How do I solve this equation? 1 solutions Answer 221336 by richwmiller(9135)   on 2010-05-28 16:46:01 (Show Source): You can put this solution on YOUR website! a+b=8 a=8-b x*a+y*b=140 a*x=90 b*y=50 y=50/b x=y-10 x*a+y*b=140 (50/b-10)(8-b)+50=140 b=2 b=20 a+20=8 a=-12 discard b=20 discard a+2=8 a=6 a = 6, b = 2, x = 15, y = 25

Conjunction/309454: In exercise 55-60, write the converse, inverse, and contra positive of the statement. 58. If Bob Dylan records a new CD, then he will go on tour. I don't understand how to come up with the Inverse. Here are my answers so far: If Bob Dylan does go on tour, then he will record a new CD. If Bob Dylan does not go on tour then he will not record a new CD. 1 solutions Answer 221330 by richwmiller(9135)   on 2010-05-28 16:17:06 (Show Source): You can put this solution on YOUR website! hint : inverse negate both parts converse flip parts contra positive flip and negate

Systems-of-equations/309474: Solve each system of equations. 1. 5x + 4y - z = 1 2x - 2y + z = 1 -x - y +z =2 2. x + y + z = 0 2x +3y + 2z = -1 x - y + z = 2 3. x + 2y = 0 4x - z = 4 5y + z = -1 1 solutions Answer 221326 by richwmiller(9135)   on 2010-05-28 16:11:54 (Show Source): You can put this solution on YOUR website! rules violations one problem at a time no similar problems

Human-and-algebraic-language/309473: I am so sorry it is so much but I am desperate, I am really having a problem with these questions please, please, please HELP! 1. Two minor league base ball players had a total of 330 hits. Washington had 4 more hits than Sanchez. Find the number of hits for each player. 1 solutions Answer 221324 by richwmiller(9135)   on 2010-05-28 16:05:33 (Show Source): You can put this solution on YOUR website! Website rules one problem at a time no similar or identical problems limit 5 problems a day use proper category for each problem

Linear-systems/309466: Im REALLY stuck on this Algebra Equasion, Please Help Me!!! I have these 2 formulas 12-x^2 -2xy = 0 ...12-y^2 - 2xy = 0 ... for some reason x and y are both 2 how do you get this i tried and got y= 6/x -0.5x tried to sub into second one but gets messy any way to do this on a calculator by any chance but i want to know how to do it algebraically hmmmmm........ 1 solutions Answer 221322 by richwmiller(9135)   on 2010-05-28 16:01:15 (Show Source): You can put this solution on YOUR website! What would happen if you set them equal to each other since they both equal zero 12-x^2 -2xy=12-y^2 - 2xy add 2xy to both sides 12-x^2=12-y^2 subtract 12 -x^2=-y^2 multiply by -1 x^2=y^2 so we know that x=y 12-x^2-2xy=0 12-x^2-2x^2=0 12-3x^2=0 12=3x^2 4=x^2 x=+-2 solutions are (2,2) (-2,-2) now check them to make sure they both work.

Exponents/309223: How do you solve the equation (x-1)^2=4 eight different ways and what methods are used? 1 solutions Answer 221111 by richwmiller(9135)   on 2010-05-27 18:32:59 (Show Source): You can put this solution on YOUR website! (x-1)^2=4 #1 take square roots x-1=+-2 x-1=2 x=3 x-1=-2 x=-1 x=(-1,3) #2 (x-1)*(x-1)=4 x^2-2x+1=4 x^2-2x-3=0 (x-3)*(x+1)=0 x=(-1,3) #3 use quadratic formula Solved by pluggable solver: SOLVE quadratic equation with variable Quadratic equation (in our case ) has the following solutons: For these solutions to exist, the discriminant should not be a negative number. First, we need to compute the discriminant : . Discriminant d=16 is greater than zero. That means that there are two solutions: . Quadratic expression can be factored: Again, the answer is: 3, -1. Here's your graph: #4 graph Good luck on the other 4 ways

Rational-functions/309112: Suppose that x and y vary inversely and that y=1/6 when x=3. Write a function that models the inverse variation and find y when x=10. a. y=1/2x ; 1/20 b. y=1/6x ; 1/20 c. y=1/6x; 1/6 d. y=1/18x ; 1/54 1 solutions Answer 221109 by richwmiller(9135)   on 2010-05-27 18:26:26 (Show Source): You can put this solution on YOUR website! if x=10 then the only one that works is a. y=1/2x;1/20

Linear-equations/309185: Please help, I am studying for a final.. A rational number is the quotient of two intergers if the demoninator is nonzero. What are the two integers that when divided create the rational number -0.7? Use intergers that would create a simplied fraction if expressed in that form. __+___=-0.7 I know the correct answers are -7,10... I just don't know how to acheive this. Thank you so much 1 solutions Answer 221107 by richwmiller(9135)   on 2010-05-27 18:19:00 (Show Source): You can put this solution on YOUR website! -.7=-(7/10)=(-7)/(10) and (7)/(-10) so the two integers are -7 and 10 and 7 and -10 Note:integer not interger

Graphs/309171: find the value of c that makes each trinomial a perfect square. g^2+6g+c 1 solutions Answer 221084 by richwmiller(9135)   on 2010-05-27 17:47:31 (Show Source): You can put this solution on YOUR website! no similar problems one problem at a time limit 5 problems daily