Tutor:

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

---

Recent problems solved by 'richwmiller'

richwmiller answered: 9133 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

Polynomials-and-rational-expressions/297061: Find the excluded value of the rational expression. -2/x^2-x 1 solutions Answer 213950 by richwmiller(9144)   on 2010-04-26 22:05:18 (Show Source): You can put this solution on YOUR website! anything that makes the denominator zero is excluded

Linear_Equations_And_Systems_Word_Problems/297056: man drives car at 80 miles per hour for 30 minutes. His wife tries to meet up with him going 90 miles per hour. How long will she have to drive to catch him? and how far from their house will she finnally meet up with him? 1 solutions Answer 213949 by richwmiller(9144)   on 2010-04-26 22:04:00 (Show Source): You can put this solution on YOUR website! Assuming that the man had 30 minute head start he would have gone 40 miles she gains on him at 10 mph so it will take her 4 hrs to catch up. 80*(t+1/2)=90t as expected t=4

Polynomials-and-rational-expressions/297057: A soccer ball is kicked from the ground, and its height, h, is given by the function h(t)= -16t^2+80+. How many seconds will it take the soccer ball to hit the ground? The "^2" means to the 2nd power, just so it wouldn't be confusing. And the 16t the "t" is the letter. After ^2 the + is a plus and the t after 80 is the letter T. 1 solutions Answer 213948 by richwmiller(9144)   on 2010-04-26 22:00:02 (Show Source): You can put this solution on YOUR website! h(t)= -16t^2+80t should be your equation set it to zero t=5 and t=0 it falls back at 5 seconds

Equations/297050: 13+2(5c-2)=29 how to solve 1 solutions Answer 213947 by richwmiller(9144)   on 2010-04-26 21:54:42 (Show Source): You can put this solution on YOUR website! Some website rules you broke one problem at a time no similar problems limit 4 problems a day pick right category.

Triangles/297054: The longest side of a right triangle is 4 inches more than the shortest side. The third side is 8 inches. Find the length of each side. What i've tried : x^2+8^2= (4x+x)^2 (Pythagorean theorem) x^2+64= (4x+x) (4x+x) x^2+64= 16x^2+4x^2+4x^2+x^2 (FOIL method) x^2+64= 25x^2 (might've done the foiling wrong) Then i subtracted x^2 and 64 to bring terms to the right and got a quadratic equation: 0=24x^2-64 Factored :(6x-8) (4x+8) My solutions were 4/3 and 2. Not sure if this is correct... they don't match up when plugged into the pythagorean theorum. Any assist on this would be greatly appreciated. The examination will be presented on wed. 1 solutions Answer 213946 by richwmiller(9144)   on 2010-04-26 21:52:27 (Show Source): You can put this solution on YOUR website! shortest side x other side 8 longest side=hypotenuse x+4 x^2+64=(x+4)^2 x=6 x+4=10 6,8,10 the classic 3,4,5 right triangle

test/296981: The height in feet for a ball thrown upward at 48 feet per second is given by s(t)=-16t^(2)+48t, where t is the time in seconds after the ball is tossed. What is the maximum height that the ball will reach? 1 solutions Answer 213945 by richwmiller(9144)   on 2010-04-26 21:45:29 (Show Source): You can put this solution on YOUR website! at 1.5 seconds 36 ft high

Numbers_Word_Problems/296983: the product of two positive numbers is 140.Determine the two numbers if one is 6 more than the twice the other. 1 solutions Answer 213938 by richwmiller(9144)   on 2010-04-26 20:55:27 (Show Source): You can put this solution on YOUR website! x*y=140 y=6+2x x=7 and y=20

Polynomials-and-rational-expressions/297017: How do you do factoring polynomials? W (to the 2 power)-2w-63 w^2-2w-63 1 solutions Answer 213937 by richwmiller(9144)   on 2010-04-26 20:52:08 (Show Source): You can put this solution on YOUR website! W (to the 2 power)-2w-63 W and w are not the same w^2-2w-63 1*63=63 factors of -63 which add up to -2 -9 and 7 (w-9)*(w+7) one problem at a time and no similar problems

Sequences-and-series/296963: the sequence 2, 3, 4, 6, 7, 8, 10, 11 consists of positive integers which are not perfect squares. what is the 100th number in this sequence? 1 solutions Answer 213935 by richwmiller(9144)   on 2010-04-26 20:48:09 (Show Source): You can put this solution on YOUR website! Something is wrong with your list. 4 should not be there since it is a perfect squares and 5 should be there since it is not a perfect square. 1^2 2^2 3 4 5 6 7 8 9=81 10=100 11=121 squared are all perfect squares 100 -10=90 subtract 100-10=90 90+10=110 110 would be the 100th term

Quadratic_Equations/296986: find the fraction equivalent... ab/cx answers... a. abc/x b. b/acx c. abcy/cxy d. abcy/c^xy 1 solutions Answer 213929 by richwmiller(9144)   on 2010-04-26 20:37:39 (Show Source): You can put this solution on YOUR website! I think you mean option d to be abcy/c^2xy=ab*cy/cx*cy=ab/cx

Reduction-of-unit-multipliers/297004: Find f'(x) when f(x) is given by each of the following formulae. A) sin^-1(2x) 1 solutions Answer 213926 by richwmiller(9144)   on 2010-04-26 20:34:26 (Show Source): You can put this solution on YOUR website! Limit your self to one problem at a time no similar problems limit 4 problems a day pick the right category what units are you converting?

Sequences-and-series/296990: what is the formula for the series 0,1,3,6,10,15 1 solutions Answer 213925 by richwmiller(9144)   on 2010-04-26 20:32:24 (Show Source): You can put this solution on YOUR website! a_n = 1/2 (n-1)*n

Probability-and-statistics/297002: 4.The data below represents a study performed between 2 parallel groups selling a product. Group 1 Did Not Receive training that Group 2 did with regard to effective sales techniques. Analyze the data below at the 0.1 alpha at a one tail test to determine if there is any statistical difference between Group 1 and 2. sample1: sample mean=82.56 sample std dev.= 11.6 sample size= 12 sample2: sample mean=89.14 sample std dev.= 9.3 sample size= 14 1 solutions Answer 213923 by richwmiller(9144)   on 2010-04-26 20:27:34 (Show Source): You can put this solution on YOUR website! a few website rules one problem at a time no similar nor identical problems limit 4 problems a day pick the right category

Travel_Word_Problems/296994: If you are going 40 mph and you want to travel 12 miles how long will it take to get there? 1 solutions Answer 213919 by richwmiller(9144)   on 2010-04-26 20:24:44 (Show Source): You can put this solution on YOUR website! The website owner thinks picking the right category is important. r*t=d t=d/r 12/40=t 3/10=t 3/10*60=18 minutes

Graphs/296999: are the following pairs of lines parallel 2x - 4y = 16 and 3x = 6y + 18 1 solutions Answer 213915 by richwmiller(9144)   on 2010-04-26 20:21:45 (Show Source): You can put this solution on YOUR website! -2/-4=1/2 -3/-6=1/2 yes

Geometry_proofs/296966: Can you give me a simple way to solve proofs? like 1st is given and secon is reason and things like that 1 solutions Answer 213895 by richwmiller(9144)   on 2010-04-26 19:39:52 (Show Source): You can put this solution on YOUR website! The simple way is to understand the proof, know what you are looking for and get there. No shortcuts.

Miscellaneous_Word_Problems/296961: the ratio of yes to no votes is 7 to 5. What is the total number of votes if there are 3731 yes votes 1 solutions Answer 213892 by richwmiller(9144)   on 2010-04-26 19:38:04 (Show Source): You can put this solution on YOUR website! 7/5=3731/x x=2665 x+3731=6396

Rate-of-work-word-problems/296951: Randy Howe can paint his house in 9 hours. His sister Candy can paint the house in 15 hours. How many hours will it take them to paint the house if they work together? 1 solutions Answer 213884 by richwmiller(9144)   on 2010-04-26 19:26:50 (Show Source): You can put this solution on YOUR website! x/9+x/15=1 5x/45+3x/45= 8x/45=1 8x=45 x=45/8=5 5/8=5.625 hrs

Linear_Equations_And_Systems_Word_Problems/296876: How much pure water must be mixed with 2 pints of 50% developer to produce a mixture that is 12 developer? 1 solutions Answer 213869 by richwmiller(9144)   on 2010-04-26 17:57:03 (Show Source): You can put this solution on YOUR website! .5*2=.12(2+w) w=6 1/3

Quadratic_Equations/296873: How do you solve 121x^2-49=0 1 solutions Answer 213865 by richwmiller(9144)   on 2010-04-26 17:48:25 (Show Source): You can put this solution on YOUR website! think of it as (11x)^2-7^2=0

Linear-systems/296767: Find the area of a triangle whose vertices have coordinates (0,9),(0,-4),(5,-4). I know to find the area of a triangel you use A= 1/2*b*h but how do you find out the base and hight? 1 solutions Answer 213863 by richwmiller(9144)   on 2010-04-26 17:43:43 (Show Source): You can put this solution on YOUR website! plot it and you will see.

Surface-area/296853: hi i need help! im trying to get the square footage of a right triangle with a curve going to both points. it is a 16'x13'. From the corner to the farthest part on the curve it is 14'. thanks 1 solutions Answer 213860 by richwmiller(9144)   on 2010-04-26 17:37:52 (Show Source): You can put this solution on YOUR website! Triangles don't have curves. Perhaps this is an arc - part of a circle. Triangles have three points. Which "both" points are you talking about?

Travel_Word_Problems/296869: what is my speed if i bike 50 miles in 2 hours 1 solutions Answer 213859 by richwmiller(9144)   on 2010-04-26 17:34:56 (Show Source): You can put this solution on YOUR website! You have two numbers. What can you do with them? How far do you go in one hour? mph means miles per hour which means miles in one hour

Permutations/296855: Consider a political discussion group consisting of 9 Democrats, 4 Republicans, and 7 Independents. Suppose that two group members are randomly selected, in succession, to attend a political convention. Find the probability of selecting an Independent and then a Democrat. 1 solutions Answer 213858 by richwmiller(9144)   on 2010-04-26 17:32:35 (Show Source): You can put this solution on YOUR website! 7/20*9/20=63/400

Unit_Conversion_Word_Problems/296865: 78 inches=how many feet 1 solutions Answer 213856 by richwmiller(9144)   on 2010-04-26 17:30:26 (Show Source): You can put this solution on YOUR website! No similar problems 78/12=

Age_Word_Problems/296864: Mrs. Brooks lacks 7 years from being five times as old as her son. Six years from now she will lack 3 years from being three times as olds as her son is then. Find each of their ages...can you help me put this into an equation step by step??? 1 solutions Answer 213854 by richwmiller(9144)   on 2010-04-26 17:27:51 (Show Source): You can put this solution on YOUR website! Do you see why this belongs in age word problems? b+7=5s (b+6)+3=3(s+6) b=33 s=8 33+7=40 39+3=3*14 42=42

Finance/296851: I am needing help simplifying this equation. I got an answer of -10 for a solution and wanted to know if someone could check this to see if it was correct or not. (1-2)^3 + (-3)^2 / (2+10/2) -5 Lauren 1 solutions Answer 213852 by richwmiller(9144)   on 2010-04-26 17:23:07 (Show Source): You can put this solution on YOUR website! The website owner thinks it is important to use the right category. Where is the finance?

Finance/296860: Ok one last one I need help on, I am confused on solving systems with 3 lines and things in them. 3x -y - 2z = 11 Lauren 1 solutions Answer 213850 by richwmiller(9144)   on 2010-04-26 17:17:36 (Show Source): You can put this solution on YOUR website! no similar problems

Expressions-with-variables/296844: Hello! Thank you for this great service. I have not studied algebra for more than 30 years. I am trying to brush up on my algebra skills in order to qualify for training. Here's my equation: 3a - 2{3a-2[1-4(a)-4(-1)]+5} 3a - 2{3a -2[1 -4a +4] +5} 3a - 2{3a -2 +8a -8]+5 3a -6a +4 -16a +16 +5 -19a +25 (the book says -19a + 10)I don't understand where did I go wrong? 1 solutions Answer 213848 by richwmiller(9144)   on 2010-04-26 17:15:16 (Show Source): You can put this solution on YOUR website! I don't see an equal sign. Do you see an equal sign? No equal sign-no equation. 3a - 2{3a-2[1-4(a)-4(-1)]+5} 3a - 2{3a -2[1 -4a +4] +5} ok up to here 3a - 2{3a -2 +8a -8]+5 this is wrong 3a -6a +4 -16a +16 +5 -19a +25 (the book says -19a + 10) I don't understand where did I go wrong? My solution 3a - 2{3a-2[1-4(a)-4(-1)]+5} 3a - 2{3a -2[1 -4a +4] +5} 3a-2{3a-2[5-4a]+5} 3a-2{3a-10+8a+5} 3a-2{11a-5} 3a-22a+10 -19a+10

logarithm/296846: Please tell me if I am doing this right, the equation is {log6 (x+3) + log6 (x+4)= 1} I end up with x=-6 and x=-1 but they cant have a negative answer?? 1 solutions Answer 213842 by richwmiller(9144)   on 2010-04-26 16:59:24 (Show Source): You can put this solution on YOUR website! Toss the -6 but keep the -1. Why?

Polynomials-and-rational-expressions/296761: I am not sure how to do this. I looked in the book and tried, but am still confused. Factor the difference of two cubes: x cubed - y cubed 1 solutions Answer 213840 by richwmiller(9144)   on 2010-04-26 16:55:36 (Show Source): You can put this solution on YOUR website! (x-y)*(x^2+x*y+y^2)