Tutor:

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

---

Recent problems solved by 'Fombitz'

Fombitz answered: 13805 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 , 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 , 10680..10709 , 10710..10739 , 10740..10769 , 10770..10799 , 10800..10829 , 10830..10859 , 10860..10889 , 10890..10919 , 10920..10949 , 10950..10979 , 10980..11009 , 11010..11039 , 11040..11069 , 11070..11099 , 11100..11129 , 11130..11159 , 11160..11189 , 11190..11219 , 11220..11249 , 11250..11279 , 11280..11309 , 11310..11339 , 11340..11369 , 11370..11399 , 11400..11429 , 11430..11459 , 11460..11489 , 11490..11519 , 11520..11549 , 11550..11579 , 11580..11609 , 11610..11639 , 11640..11669 , 11670..11699 , 11700..11729 , 11730..11759 , 11760..11789 , 11790..11819 , 11820..11849 , 11850..11879 , 11880..11909 , 11910..11939 , 11940..11969 , 11970..11999 , 12000..12029 , 12030..12059 , 12060..12089 , 12090..12119 , 12120..12149 , 12150..12179 , 12180..12209 , 12210..12239 , 12240..12269 , 12270..12299 , 12300..12329 , 12330..12359 , 12360..12389 , 12390..12419 , 12420..12449 , 12450..12479 , 12480..12509 , 12510..12539 , 12540..12569 , 12570..12599 , 12600..12629 , 12630..12659 , 12660..12689 , 12690..12719 , 12720..12749 , 12750..12779 , 12780..12809 , 12810..12839 , 12840..12869 , 12870..12899 , 12900..12929 , 12930..12959 , 12960..12989 , 12990..13019 , 13020..13049 , 13050..13079 , 13080..13109 , 13110..13139 , 13140..13169 , 13170..13199 , 13200..13229 , 13230..13259 , 13260..13289 , 13290..13319 , 13320..13349 , 13350..13379 , 13380..13409 , 13410..13439 , 13440..13469 , 13470..13499 , 13500..13529 , 13530..13559 , 13560..13589 , 13590..13619 , 13620..13649 , 13650..13679 , 13680..13709 , 13710..13739 , 13740..13769 , 13770..13799 , 13800..13829, >>Next

Coordinate-system/355296: If the coordinates of the midpoint of a segment is -1 and the length of the segment is 54, the coordinates of the two endpoints are: a. -28 and 26 b. -55 and -53 c. -27.5 and 26.5 d. -56 and 56 e. none of these 1 solutions Answer 253795 by Fombitz(13828)   on 2010-10-12 15:48:37 (Show Source): You can put this solution on YOUR website! Let B be the greatest coordinate, A be the least. Only A) satisfies the requirement,

Probability-and-statistics/355281: It is known that 60% of mice inoclated with a serum are protected from a certain disease. if 5 mice are inoculated find the probability that (a) none contracts the disease, (b) fewer than 2 contract the disease and (c) more than 3 contract the disease 1 solutions Answer 253794 by Fombitz(13828)   on 2010-10-12 15:45:58 (Show Source): You can put this solution on YOUR website! P=0.6, protected P=0.4, not protected a) P(5 protected)= . . b) Fewer than two, means zero or 1 mice not protected. P(0 not protected)=P(5 protected)= P(1 not protected)=P(4 protected)= . . c)More than 3 contract means, only zero or 1 mice protected. P(0 protected)= P(1 protected)=

Parallelograms/355257: find a if the line joining (3,a) to (-6,5) has gradient of 1/3 1 solutions Answer 253792 by Fombitz(13828)   on 2010-10-12 15:30:22 (Show Source): You can put this solution on YOUR website! The formula for slope (or gradient) is, . . . . . . . . Solve for .

Polynomials-and-rational-expressions/355260: I'm trying to simplify a Complex Algebraic Fraction: X2 - 3X+2 _________ X-4 ___________ X-2 1 solutions Answer 253791 by Fombitz(13828)   on 2010-10-12 15:28:19 (Show Source): You can put this solution on YOUR website! . . . .

Radicals/355271: x^(2/3) - x^(1/3) - 12=0 Solve for x, show all steps please. 1 solutions Answer 253790 by Fombitz(13828)   on 2010-10-12 15:25:53 (Show Source): You can put this solution on YOUR website! Let , Two solutions: . .

Matrices-and-determiminant/355266: matix [-5,-13_2,5]X= matrix[3,1_-4,0] find the value for X 1 solutions Answer 253789 by Fombitz(13828)   on 2010-10-12 15:23:11 (Show Source): You can put this solution on YOUR website! . . . [A][x]=[b] [x]=[A]inv[b] . . . det[A]=1 . . . [A]inv= . . [x]=[A]inv[b]= . . [x]=

Mixture_Word_Problems/355242: how many liters of 20% alcohol solution and 10% alcohol solution must be mixed to obtain 50 liters of a 12% alcohol solution? 1 solutions Answer 253777 by Fombitz(13828)   on 2010-10-12 14:28:10 (Show Source): You can put this solution on YOUR website! Let A be the amount of 20% solution, B the amount of 10% solution. Total volume: 1. . . Total concentration: 2. . . Subtract eq. 1 from eq. 2, liters Then from eq. 1, liters

Probability-and-statistics/355232: A SET OF SCORES WITH A MEAN OF 16 AND A STANDARD DEVIATION OF 3. WHAT SCORE SEPARATES THE TOP 30 PERCENT OF THE POPULATION FROM THE LOWER 70 PERCENT? 1 solutions Answer 253775 by Fombitz(13828)   on 2010-10-12 14:25:43 (Show Source): You can put this solution on YOUR website! Find the z-score that give . Using EXCEL's NORMSINV function,

Probability-and-statistics/355234: An employee is selected from a staff of 10 to supervise a certain project by selecting a tag at random from a box containing 10 tags numbered 1-10. Find the formula for the probability distribution of X representing the number on the tag that is drawn. Find the probability that the number is less than 4. find the mean and variance of this random variable. 1 solutions Answer 253772 by Fombitz(13828)   on 2010-10-12 14:20:54 (Show Source): You can put this solution on YOUR website! Each number is equally likely, , for . . . . . . . Mean= . . . Var=

Linear-equations/354961: how do i graph this equation? 8x-6y=24 i cant graph it right. can you show me how to do the problem. thanks 1 solutions Answer 253771 by Fombitz(13828)   on 2010-10-12 14:15:49 (Show Source): You can put this solution on YOUR website! Use the intercepts to graph the equation. To find the x-intercept, set and solve for . (,) . . . To find the y-intercept, set and solve for . (,) . . . Now plot the two points and connect them with a straight line. . . .

Probability-and-statistics/355231: SUPPOSE A URN CONTAINED 3 RED, 6 BLACK, 5 BLUE, 2 YELLOW AND 4 GREEN MARBLES. WHAT IS THE PROBABILITY OF DRAWING A BLUE MARBLE? 1 solutions Answer 253768 by Fombitz(13828)   on 2010-10-12 14:10:49 (Show Source): You can put this solution on YOUR website! 3 Red 6 Black 5 Blue 2 Yellow 4 Green 20 Total . . .

Triangles/355228: 2 points b and c are placed to the right of a such that 4ab=3ac. Find the value of bc/ab 1 solutions Answer 253766 by Fombitz(13828)   on 2010-10-12 14:09:45 (Show Source): You can put this solution on YOUR website! Multiply both sides by 4. Substitute, . . . Given, . . .

Sequences-and-series/355105: What is the sequence of numbers for this expression: n-2, if n=1 I thought it started out with -1. The other sequence which tied into it was 2n, where again n=1. Therefore, I started that sequence with 2,4,6,8,10,12,14. I am correct in my solving of my equation? 1 solutions Answer 253764 by Fombitz(13828)   on 2010-10-12 14:04:07 (Show Source): You can put this solution on YOUR website! What's your question? What are you really looking for? You mention two sequences, list 2 formulas, and then list some numbers. Could you please try and be clearer?

Numeric_Fractions/355178: 4/2x+3-2/x-3 1 solutions Answer 253762 by Fombitz(13828)   on 2010-10-12 14:01:47 (Show Source): You can put this solution on YOUR website! Use the common denominator,

logarithm/355222: can you help me express this as a single log: log(b)16-log(b)5-log(b)2 1 solutions Answer 253758 by Fombitz(13828)   on 2010-10-12 13:53:59 (Show Source): You can put this solution on YOUR website!

Conjunction/355217: (∼r ∨ ∼p) ∨ ∼q determnine if its valid or invalid A. p is true, q is false, r is true B. p is false, q is true, r is treu I have tried everything and can't figure how to do logics. Any help will be greatly appreciated. 1 solutions Answer 253757 by Fombitz(13828)   on 2010-10-12 13:52:02 (Show Source): You can put this solution on YOUR website! First generate the truth table, then you can pick out the answer from the row. . . . r p q -r -p -q -r v -q (-r v -p) v –q ----------------------------------------------------------------------- T T T F F F F F T T F F F T F T T F T F T F T T T F F F T T T T F T T T F F T T F T F T F T T T F F T T T F T T F F F T T T T T

Linear-equations/355215: Ho do i solve for x? x^(3/2)-26=99 1 solutions Answer 253754 by Fombitz(13828)   on 2010-10-12 13:42:58 (Show Source): You can put this solution on YOUR website!

Sequences-and-series/355125: lim 1+2+3+...+n /3n+1 - n/6 1 solutions Answer 253753 by Fombitz(13828)   on 2010-10-12 13:40:18 (Show Source): You can put this solution on YOUR website! How are 1,2, and 3 related to ?? They aren't the first three terms.

Linear-equations/355177: How do i solve this word problem? The parent function y=1/x is translated such that its horizontal asymptote is y=-4 and its vertical asymptote is x=2. 1 solutions Answer 253752 by Fombitz(13828)   on 2010-10-12 13:37:48 (Show Source): You can put this solution on YOUR website! The vertical asymptotes occurs when the denominator equals zero. The current function has a horizontal asymptote at y=0. . . . would accomplish both challenges. . .

Travel_Word_Problems/355199: Two cars start at the same point and drive in a straight line for 5km. At the end of the drive their distances are the same but their displacement is not. Explain. Sounds like they drove the same distance in the same direction, how could their displacement not be the same? 1 solutions Answer 253750 by Fombitz(13828)   on 2010-10-12 13:28:48 (Show Source): You can put this solution on YOUR website! Displacement is a vector quantity. Distance is the magnitude of displacement and is a scalar quantity. For the displacement to be identical both the magntitude(distance) and the direction of displacement must be identical. For example, imagine two cars leave (0,0). One goes 5 miles East (positive x). One goes 5 miles North (positive y). Their distance is both 5 miles. But Car A's displacement is 5 miles east while Car B's is 5 miles north, which are not identical.

Travel_Word_Problems/355207: two cars are driving on same highway. car a is 5 miles ahead of car b and is travling at 45 miles per hour. car b is traveling at 55 miles per hour. how many minutes will it take for car b to catch up with car a? thank you 1 solutions Answer 253749 by Fombitz(13828)   on 2010-10-12 13:24:55 (Show Source): You can put this solution on YOUR website! Rate*Time=Distance . . . Find when , hr minutes

Angles/355185: IF angle AEB = 2x+28, and angle AED = 5x+138 Then Find x. Find the measure of angle AED. .__ A ____________________D. ____. _________________. _______. ___________. _________.___E____. ____________. .__ _________.________. _______._______________. ____B .___________________.C 1 solutions Answer 253747 by Fombitz(13828)   on 2010-10-12 13:22:56 (Show Source): You can put this solution on YOUR website! From your picture it looks like A,E, and D are collinear. If so then . Then degrees

Age_Word_Problems/355209: What is x^2 + 5x - 6=0 using the quadractic formula? 1 solutions Answer 253746 by Fombitz(13828)   on 2010-10-12 13:19:58 (Show Source): You can put this solution on YOUR website! Take it from there and finish the calculation.

Functions/355208: Hi, I'm doing combining functions problems right now, and so far, I have been stuck on this one. I've looked in the textbook, but have not found any similar problems like it. So thanks for the help in advance! Given f(x)=1/2x and g(x)=1/3x, find (fog)(x). a). 1/6x^2 b). 2/3 c). 3/2x d). 3x/2 1 solutions Answer 253745 by Fombitz(13828)   on 2010-10-12 13:18:37 (Show Source): You can put this solution on YOUR website! . . . . . . Since it isn't one of the choices, f(x) and g(x) must not be as I listed them please use parentheses to differentiate numerator and denominator in your functions.

Finance/355198: An executive invests $22,000, some at 7% and some at 5% annual interest. If he receives an annual return of $1420, how much is invested at each rate? 1 solutions Answer 253744 by Fombitz(13828)   on 2010-10-12 13:16:00 (Show Source): You can put this solution on YOUR website! Let be the amount invested at 7%, the amount at 5%. Total amount invested: 1. Total interest obtained: 2. Multiply eq. 1 by (-5) and add to eq. 2 to eliminate and solve for . Then from eq. 1,

Numbers_Word_Problems/355192: the sum of two consecutive odd integers is? 1 solutions Answer 253742 by Fombitz(13828)   on 2010-10-12 13:12:59 (Show Source): You can put this solution on YOUR website! Let your two consectuve integers be and . Their sum would be,

Graphs/355203: PLEASE EXPLAIN WRITE AN EQUATION FOR THE LINE THROUGH THE POINT (-6,-2) AND PARALLEL TO THE LINE X-4Y=4 THANK YOU 1 solutions Answer 253741 by Fombitz(13828)   on 2010-10-12 13:10:08 (Show Source): You can put this solution on YOUR website! Parallel means the equation has the same left hand side (relationship between x and y) and a different right hand side. Determine the right hand side by using the point. . . .

Linear-equations/355172: Write in exponential Form:Q=log P 1 solutions Answer 253721 by Fombitz(13828)   on 2010-10-12 11:18:45 (Show Source): You can put this solution on YOUR website! I'm assuming the base is 10.

Polynomials-and-rational-expressions/355173: 0=x(x)-15x-9844 factor 1 solutions Answer 253720 by Fombitz(13828)   on 2010-10-12 11:17:52 (Show Source): You can put this solution on YOUR website!

Probability-and-statistics/355169: You are dealt 2 cards successively without replacement from a standard deck of 52 playing cards. Find the probability that the first card is a 2 and the second card is a 10. round the answer to three decimal places 1 solutions Answer 253717 by Fombitz(13828)   on 2010-10-12 11:12:40 (Show Source): You can put this solution on YOUR website! There are four 2's and four 10's in the deck to begin. Now there are 51 cards in the deck, three 2's and four 10's. So then

Linear-equations/355165: How do i solve (-6)/(x+2)=(3x)/(x+2)+1 1 solutions Answer 253716 by Fombitz(13828)   on 2010-10-12 11:08:10 (Show Source): You can put this solution on YOUR website! Use the common denominator , . . . . . . . . . . . . . . Since the equation leads to an inconsistency, there is no solution.