# 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 'richwmiller'

richwmiller answered: 9132 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

 Mixture_Word_Problems/460415: I have problems on knowing where to start on story problems and what to do with them. Here is an example. How much pure acid must be mixed with 80 liters of 10% acid to get 30% acid?1 solutions Answer 315784 by richwmiller(9143)   on 2011-06-12 22:30:56 (Show Source): You can put this solution on YOUR website!from the view of acid x+ .1*80=.30(x+80) x=22.8571 from the view of water .9*80=.7*(x+80) x=22.8571
 Money_Word_Problems/460416: Sally got 47.1% the first term and 44.1% the second. She has a final exam worth 20% of her overall grade coming up. If she wants to get 65%, whta percentage does she need on her final exam? 1 solutions Answer 315779 by richwmiller(9143)   on 2011-06-12 22:21:56 (Show Source): You can put this solution on YOUR website!Not enough info. What makes up the other 80%?
 Money_Word_Problems/460362: Three years ago, Frank signed a 5 year promissory note for \$10,000 plus interest at 12% compounded monthly.1 solutions Answer 315763 by richwmiller(9143)   on 2011-06-12 20:58:04 (Show Source): You can put this solution on YOUR website!12% is too much!
 Polynomials-and-rational-expressions/460354: Factor completely 9m^2-6m+1 1 solutions Answer 315761 by richwmiller(9143)   on 2011-06-12 20:52:39 (Show Source): You can put this solution on YOUR website!(3m-1)^2 or (1-3m)^2
 Linear-equations/459964: Write an equation of the line containing the specified point and perpendicular to the indicated line. (4, −2), x = 1 1 solutions Answer 315480 by richwmiller(9143)   on 2011-06-11 14:12:41 (Show Source): You can put this solution on YOUR website!x=1 is a vertical line so we want the horizontal line y=-2
 Rational-functions/459989: Help me please!! I have to graph each function and state it's domain and range. 1 solutions Answer 315479 by richwmiller(9143)   on 2011-06-11 14:10:26 (Show Source): You can put this solution on YOUR website!You already asked this.
 Travel_Word_Problems/459988: Two trains leave the station at the same time, one heading east and the other west. The eastbound train travels 18 miles per hour faster than the westbound train. If the two trains are 760 miles apart after 4 hours, what is the rate of the eastbound train?1 solutions Answer 315478 by richwmiller(9143)   on 2011-06-11 14:09:02 (Show Source): You can put this solution on YOUR website!4x+4(x+18)=760 8x=742 x=742/8 x=86 18+86=104 mph eastbound
 Linear-equations/459974: given the linear equation y = -7/4 x-1, find the y-coordinates of the points (-4, ), (0 ), and (4, ) please show all of your work. plot these points and graph the linear equation.1 solutions Answer 315466 by richwmiller(9143)   on 2011-06-11 13:13:57 (Show Source): You can put this solution on YOUR website!Those are very easy to plug in. y=-7/4*(-4)-1 and y=0-1 and y=-7/4*4-1
 test/459971: Hello I was wondering if you could just send me a study guide to help me study for finals. I just need all the basic information such as exponential growth, linear functions/equations, and everything I need to know. 1 solutions Answer 315463 by richwmiller(9143)   on 2011-06-11 13:06:20 (Show Source): You can put this solution on YOUR website!I am happy to inform you that you already have such a study guide. It is called your textbook. Your textbook cost a lot of money. Use it.
 Polynomials-and-rational-expressions/459958: Factor x^3-2x^2+3x+21 solutions Answer 315451 by richwmiller(9143)   on 2011-06-11 12:41:23 (Show Source): You can put this solution on YOUR website!It has no factors It has one real root and two complex roots
 Proportions/459957: solve for the unknown in the proportion. 7/12=m/241 solutions Answer 315446 by richwmiller(9143)   on 2011-06-11 12:28:48 (Show Source): You can put this solution on YOUR website!7/12=2*7/2*12=14/24 7/12=m/24 m=14
 test/459942: a) write the expression (-216)^4/3 in radical notation. b) evaluate the radical expression. write the expression in radical notation. do not evaluate. (-216)^4/3 = ??? Thank you in advance for your assistance. Devoted, Minka.1 solutions Answer 315443 by richwmiller(9143)   on 2011-06-11 12:22:59 (Show Source): You can put this solution on YOUR website! or -1296
 Evaluation_Word_Problems/459940: How would I solve this? I'm 46 and trying to remember algebra... A sailboat travels 20 miles downstream in 3 hours. It returns in 4 hrs. Find the speed of the sailboat in still water and the rate of the current.1 solutions Answer 315439 by richwmiller(9143)   on 2011-06-11 12:14:17 (Show Source): You can put this solution on YOUR website!b=boat c=current 3(b+c)=20 4(b-c)=20 b=35/6 c=5/6 check 3(35/6+5/6)=3*40/6=40/2=20 4*(35/6-5/6)=4*30/6=4*5=20 ok
 Age_Word_Problems/459954: In Ryan Corporation, the first shift produced 5 1/2 times as many lightbulbs as the second shift. If the total lightbulbs produced was 16,250, how many lightbulbs were produced on shift #1? 1 solutions Answer 315435 by richwmiller(9143)   on 2011-06-11 12:06:10 (Show Source): You can put this solution on YOUR website!f=5.5x s=x x+5.5x=16250 6.5x=16250 x=16250/6.5 solve for f f=13750., s=2500., x=2500.
 Evaluation_Word_Problems/459943: I'm 46 yrs old and am trying to refresh algebra. When the digits of a 2-digit number are reversed, the new number is 9 more than the original number, and the sum of the digits of the original number is 11. What is the original number? 1 solutions Answer 315430 by richwmiller(9143)   on 2011-06-11 11:50:59 (Show Source): You can put this solution on YOUR website!x+y=11 10x+y=10y+x+9 56 is the original number new number is 65 check 65=56+9 6+5=11 ok
 Functions/459947: 2x+y=5 solve so that y is a function of x1 solutions Answer 315424 by richwmiller(9143)   on 2011-06-11 11:34:32 (Show Source): You can put this solution on YOUR website!2x+y=5 subtract 2x y=5-2x y=-2x+5
 Evaluation_Word_Problems/459944: I'm 46 and trying to refresh my algebra Erin's age is 3 times Warren's. In 4 years she will be twice as old as he will be. How old is each now? 1 solutions Answer 315422 by richwmiller(9143)   on 2011-06-11 11:29:05 (Show Source): You can put this solution on YOUR website!e=3w e+4=2*(w+4) 3w+4=2w+8 w=4 e=12 check 2*(4+4)=12+4 16=16 ok
 Equations/459938: I'm 46 and am trying to refresh my algebra.... How would I solve this by using substitution or the addition-or- subtraction method? 2m=n-3 3m=2n-9 Thanks 1 solutions Answer 315421 by richwmiller(9143)   on 2011-06-11 11:23:13 (Show Source): You can put this solution on YOUR website!m=3 n=9 2m=n-3 3m=2n-9 substitution n=2m+3 3m=2(2m+3)-9 3m=4m+6-9 3m=4m-3 0=m-3 3=m 2*3=n-3 6=n-3 9=n check 6=9-3 6=6 9=18-9 9=9 ok
 Average/459905: I have a 95% in one of my classes, and i have my final exam next week that is work 20% of my mark, How much would i need to score to bring my grade up to a 96&1 solutions Answer 315399 by richwmiller(9143)   on 2011-06-11 07:41:08 (Show Source): You can put this solution on YOUR website!.8*95+.2x=96 x=100 You only need 100% on the final.
 Age_Word_Problems/459890: the total age between a father and son is 56 years.14 years later, the fathers age is twice of the son`s age. how old is the son?1 solutions Answer 315398 by richwmiller(9143)   on 2011-06-11 07:34:34 (Show Source): You can put this solution on YOUR website!The question is unclear. Is the sum of the ages 56? the sum is 56 f+s=56 f+14=2*(s+14) f=42 s=14 check 56=2 *28 ok or is the difference between the ages 56? the difference is 56 f-s=56 f+14=2*(s+14) f=98 s=42 check 98+14=112 42+14=56 112=2*56 ok
 Rational-functions/459903: I really could use your help: I need to know whether these are linear or quadratic: 1. if x is 1 f(x) is 8, if x is 2 f(x) is 11, if x is 3 f(x) is 14, if x is 4 f(x) is 17, if x is 5 f(x) is 20. 2.if x is 1 f(x) is 8, if x is 2 f(x) is 9, if x is 3 f(x) is 11, if x is 4 f(x) is 14 if x is 5 f(x) is 18. 3. f(x) = 3x 4. f(x) = (x-3)^2 -6 Thanks so much for your help!1 solutions Answer 315397 by richwmiller(9143)   on 2011-06-11 07:21:51 (Show Source): You can put this solution on YOUR website! 1) and 2) plot them on a graph 3) linear 4) quadratic
 Word_Problems_With_Coins/459878: The following are the wages for two summer jobs building grain bins. JOB A: \$60 per bin plus \$120 per day JOB B: \$75 per bin plus \$120 per day Write and solve an inequality to determine how many grain bins you would need to build each day to make Job B pay more than Job A. (Thanks for the help!)1 solutions Answer 315384 by richwmiller(9143)   on 2011-06-11 01:11:06 (Show Source): You can put this solution on YOUR website!one. 75b+120> 60b+120 75b>60b 75>60 I have the feeling you copied something incorrectly
 Rate-of-work-word-problems/459861: Six tractors can plow a field in 8 hours if they all work together. How many hours will it take 4 tractors to do the job?1 solutions Answer 315383 by richwmiller(9143)   on 2011-06-11 01:07:47 (Show Source): You can put this solution on YOUR website!This type problem assume that all the tractors do an equal amount of work which is contrary to other work problems. There are 48 tractor hours So 4 tractors will take 12 hours to do 48 tractor hours of work.
 Polynomials-and-rational-expressions/459863: Factor by grouping 40x^3-72x^2+35x-63=1 solutions Answer 315382 by richwmiller(9143)   on 2011-06-11 00:59:04 (Show Source): You can put this solution on YOUR website!(5x-9)*(8x^2+7)
 Quadratic_Equations/459867: I'm having trouble solving the following: x3 + 2x2 - x - 2 = 0. and sqrt(1-3x)-1 = x1 solutions Answer 315381 by richwmiller(9143)   on 2011-06-11 00:51:51 (Show Source): You can put this solution on YOUR website!First one (x-1) (x+1) (x+2) = 0
 Equations/459868: Graph. x=-31 solutions Answer 315380 by richwmiller(9143)   on 2011-06-11 00:40:24 (Show Source): You can put this solution on YOUR website!y can be anything. The graph is a vertical up and down line on x=-3
 Quadratic_Equations/459791: 5.Find the value of "c" that makes trinomial a perfect square: x^2-8x+c 1 solutions Answer 315300 by richwmiller(9143)   on 2011-06-10 18:18:20 (Show Source): You can put this solution on YOUR website!already answered this x^2-8x+16= (x-4)^2
 Quadratic_Equations/459792: 1.Find the value of "c" that makes the trinomial a perfect square: X^2-8x+c 1 solutions Answer 315299 by richwmiller(9143)   on 2011-06-10 18:16:27 (Show Source): You can put this solution on YOUR website!x^2-8x+16= Take half of 8 and square it 8/2=4 4^2=16 (x-4)^2
 Geometric_formulas/459790: L-shaped room consisting of a rectangle that is 8 1/2 ft by 11ft and one that is 6 1/2ft 7 1/2 ft -what is the area -what is the perimeter?1 solutions Answer 315298 by richwmiller(9143)   on 2011-06-10 18:09:02 (Show Source): You can put this solution on YOUR website!Are the two rectangles overlapping?
 Travel_Word_Problems/459789: A truck driver traveled at an average speed of 55 mph to pick up a load of freight. He returned on the exact same route, but only averaged a speed of 45 mph with a full load. If the trip took 13 hours and 20 minutes, what was the one way distance of his route?1 solutions Answer 315295 by richwmiller(9143)   on 2011-06-10 17:55:36 (Show Source): You can put this solution on YOUR website!55x=45y x+y=13 1/3 z=55x z=330 miles x=6 y=7 1/3
 Linear-equations/459784: Tyler parents pay him \$0.50 to do laundry and \$1.25 to mow the lawn. In one month, he does the laundry 6 more times than he mows the lawn. If his parents pay him \$13.50 that month, how many times did he mow the lawn? Using guess and check, I got 6 times mowing the lawn for \$7.5 and 12 times doing the laundry for \$6.00. How would I set this up without using guess and check?1 solutions Answer 315294 by richwmiller(9143)   on 2011-06-10 17:51:45 (Show Source): You can put this solution on YOUR website!l=laundry m=lawn l=6+m 50l+125m=1350 50*(6+m)+125m=1350 300+50m+125m=1350 175m=1050 m=6 l=6+6=12