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

Miscellaneous_Word_Problems/259665: A building has a ramp to its front doors to accommodate the handicapped. If the distance from the building to the end of the ramp is 18 feet and the height from the ground to the front doors is 7 feet, how long is the ramp? 1 solutions Answer 191134 by Fombitz(13828)   on 2010-01-22 09:11:42 (Show Source): You can put this solution on YOUR website! The ramp forms a right triangle with legs 7 and 18. Find the length of the hypotenuse using the Pythagorean theorem, or approximately 19.3 feet.

Surface-area/259712: how long is the diagonal of a square garden that has the are of 50 meters squared? 1 solutions Answer 191129 by Fombitz(13828)   on 2010-01-22 09:08:20 (Show Source): You can put this solution on YOUR website! The area of a square is The diagonal of a square is The diagonal is 10m long.

Inequalities/259672: who is jose rizal? 1 solutions Answer 191126 by Fombitz(13828)   on 2010-01-22 09:05:32 (Show Source): You can put this solution on YOUR website! Check out the link or go to GOOGLE and type in "Jose Rizal". http://en.wikipedia.org/wiki/Jos%C3%A9_Rizal

Equations/259599: How do you find ordered pairs thatare solutions 1 solutions Answer 191125 by Fombitz(13828)   on 2010-01-22 09:03:57 (Show Source): You can put this solution on YOUR website! Solutions to what? Could you please repost with more specifics??

absolute-value/259709: Vendor tells John that two hot dogs and one soda cost ten dollars and three hot dogs and two sodas cost sixteen dollars and fifty cents. How much does each cost? 1 solutions Answer 191124 by Fombitz(13828)   on 2010-01-22 09:02:48 (Show Source): You can put this solution on YOUR website! 1. 2. From eq.1, Substitute into eq. 2 and solve for H. Then from eq. 1, Hot dogs are $3.50 and sodas are $3.00.

Age_Word_Problems/259664: The sum of Elisa's age and Ira's age is 47. Ira's age is 5 years less than three times Elisa's age. How old are Ira and Elisa? 1 solutions Answer 191123 by Fombitz(13828)   on 2010-01-22 08:59:39 (Show Source): You can put this solution on YOUR website! 1. 2. Substitute eq. 2 in eq. 1 and solve for E. Then from eq. 2, Ira is 34 and Elisa is 13.

Linear_Equations_And_Systems_Word_Problems/259615: you and some friends are taking a trip to a museum. parking costs $15, and the price of a ticket is $14.50. write an equation that give the total cost c(in dollars) of the trip as a function of the number p of people who are going?? im thinking the answer is 14.50p+15=c.... but im not sure if im right or not thank you so much 1 solutions Answer 191122 by Fombitz(13828)   on 2010-01-22 08:57:27 (Show Source): You can put this solution on YOUR website! Yes, that's correct.

Linear-systems/259603: 4x-y+z+-5 2x+2y+3z+10 5x-2y+6z+1 solve the system 1 solutions Answer 191121 by Fombitz(13828)   on 2010-01-22 08:56:30 (Show Source): You can put this solution on YOUR website! Is a matrix solution OK? You didn't specify. [A]= [x]= [B]= [A]inv= [x]=[A]inv[B] [x]=

Linear-equations/259604: The point (?,-3) is on the graph of 5x-y=3x-5. 1 solutions Answer 191113 by Fombitz(13828)   on 2010-01-22 08:35:12 (Show Source): You can put this solution on YOUR website! Substitute for y=-3 and solve for x. (-4,-3)

Circles/259699: If the diameter of a circle is 4, then what is the area of the circle divided by its circumference? 1 solutions Answer 191111 by Fombitz(13828)   on 2010-01-22 08:33:23 (Show Source): You can put this solution on YOUR website! In general, the area of a circle is and the circumference is Then Since

Linear_Equations_And_Systems_Word_Problems/259608: a ski shop sells recreational skis with lengths ranging from 150 centimeters to 220 centimeters. the shop recommends that recreational skis be 1.16 times the skier's height(in centimeters). for which heights of skiers does the shop not provide recreational skis? 1 solutions Answer 191110 by Fombitz(13828)   on 2010-01-22 08:30:15 (Show Source): You can put this solution on YOUR website! The shop sells skis in the range from (150,220). Low end=150/1.16=129.3 High end=220/1.16=189.7 So the recommended height of skiers it does provide for is (129.3,189.7). The heights it does not would be H<129.3 and H>189.7.

expressions/259660: How do you simplify 2(5x-3)(4)? Thank you 1 solutions Answer 191108 by Fombitz(13828)   on 2010-01-22 08:27:31 (Show Source): You can put this solution on YOUR website! <--- Multiply 2 and 4. <--- Distribute the 8 inside the parentheses.

Probability-and-statistics/259702: I need your help on this question of probability.... evaluate P (4, 4) 1 solutions Answer 191107 by Fombitz(13828)   on 2010-01-22 08:25:57 (Show Source): You can put this solution on YOUR website! What is P? Permutations of 4 objects from a set of 4? If so, nPk=n!/(n-k)!=4!/(4-4)!=4!=24. If that's not it, please re-state.

Points-lines-and-rays/259662: Please help?? Can you prove this conjecture is false by finding one counterexample: Two planes always intersect in exactly one line. Thank you so much in advance!! 1 solutions Answer 191106 by Fombitz(13828)   on 2010-01-22 08:23:09 (Show Source): You can put this solution on YOUR website! Yes, one counterexample destroys it. Two parallel planes never meet, that is, they don't intersect in exactly one line. So the conjecture is false.

Equations/259659: How do you solve 7x = 19x? Thank you 1 solutions Answer 191105 by Fombitz(13828)   on 2010-01-22 08:20:47 (Show Source): You can put this solution on YOUR website!

Sequences-and-series/259658: three numbers are in AP and their sum is 21. if 1,5,15 are added to them respectively,they form a GP.The numbers are. please tell me the solution and method of solving this type of questions using this formula for Ap:(a-d),a, (a+d) and for GP:a/r,a,ar the option for the above question is :A)5,7,9 B)9,7,5 C) none of these the above is question of AP and GP. 1 solutions Answer 191104 by Fombitz(13828)   on 2010-01-22 08:18:35 (Show Source): You can put this solution on YOUR website! Let A be your starting number, d be the difference for the arithmetic progression. Then from the geometric progression information, First: Second: Third: Since they are in geometric progression, each successive pair equals the common ratio. From eq. 1, you know, Substitute, Again using eq. 1, You can factor, Two solutions: . . . . . . A) (5,7,9) is one solution. But (23, 7, -9) is also a solution.

Square-cubic-other-roots/244253: solve. x-sqrt(5-2x)=-5 1 solutions Answer 191103 by Fombitz(13828)   on 2010-01-22 08:15:40 (Show Source): You can put this solution on YOUR website! Two solutions: . .

Square-cubic-other-roots/259653: (1+8i)+(6i)=(i) 1 solutions Answer 191102 by Fombitz(13828)   on 2010-01-22 08:13:09 (Show Source): You can put this solution on YOUR website! I'm not sure what the question is? Are you solving for "i" as a variable or does it stand for the complex number, ???

Sequences-and-series/259657: three numbers are in AP and their sum is 21. if 1,5,15 are added to them respectively,they form a GP.The numbers are. please tell me the solution and method of solving this type of questions using this formula for Ap:(a-d),a, (a+d) and for GP:a/r,a,ar the option for the above question is :A)5,7,9 B)9,7,5 C) none of these the above is question of AP and GP. 1 solutions Answer 191100 by Fombitz(13828)   on 2010-01-22 08:11:35 (Show Source): You can put this solution on YOUR website! Let A be your starting number, d be the difference for the arithmetic progression. Then from the geometric progression information, First: Second: Third: Since they are in geometric progression, each successive pair equals the common ratio. From eq. 1, you know, Substitute, Again using eq. 1, You can factor, Two solutions: . . . . . . A) (5,7,9) is one solution. But (23, 7, -9) is also a solution.

Money_Word_Problems/259649: The class treasury contained $30 in nickels and dimes. If there were 500 coins, how many coins of each. 1 solutions Answer 191099 by Fombitz(13828)   on 2010-01-22 08:05:04 (Show Source): You can put this solution on YOUR website! 1. 2. From eq. 1, Substitute into eq. 2 and solve for D. 2. Now use eq. 1, There are 400 nickels and 100 dimes.

Pythagorean-theorem/259638: Determine whether a triangle with sides of 3 miles, 6 miles, and 8 miles is a right triangle. Explain. 1 solutions Answer 191098 by Fombitz(13828)   on 2010-01-22 08:02:32 (Show Source): You can put this solution on YOUR website! Use the Pythagorean theorem, which holds for all right triangles, The statement is clearly false so this triangle is not a right triangle.

Travel_Word_Problems/259610: Two planes left an airport at noon. One flew east at a certain speed and the other flew west at twice the speed. The planes were 2700 mi apart in 3 h. How fast was each plane flying? 1 solutions Answer 191067 by Fombitz(13828)   on 2010-01-21 23:06:49 (Show Source): You can put this solution on YOUR website! Rate*Time=Distance T=3 hrs D=2700 miles mph Then from above, mph

Numbers_Word_Problems/259635: Find two consecutive integers whose product is five less than the square of the smaller number? 1 solutions Answer 191066 by Fombitz(13828)   on 2010-01-21 23:03:04 (Show Source): You can put this solution on YOUR website! Let the two integers be N and N+1.

Linear-systems/259399: What defining relationship holds between a, b and c if c is the quotient of a divided by b? 1 solutions Answer 190961 by Fombitz(13828)   on 2010-01-21 16:09:54 (Show Source): You can put this solution on YOUR website!

Age_Word_Problems/259406: Jose is 3 times his sister, Anne. The sum of their ages together is 28. What are Jose's and Anne's age? Now i tried solving it.. i put the equation like (j+a=28) but then it would be no solution. There was also 3a=j 1 solutions Answer 190960 by Fombitz(13828)   on 2010-01-21 16:08:31 (Show Source): You can put this solution on YOUR website! You've got the two equations right. 1. 2. Now substitute for J using eq. 1 in eq. 2 to solve for A. Then go back and solve for J. Re-post if you need more help.

test/259396: Finding Vertical and Horizontal asymptotes still confuse me: Find all horizontal and vertical asymptotes f(x)= x/(x-3) 1 solutions Answer 190958 by Fombitz(13828)   on 2010-01-21 15:51:45 (Show Source): You can put this solution on YOUR website! Vertical asymptotes occur when the denominator equals zero. Look at the degree of x in the numerator and denominator. Divide numerator and denominator by x. Now as x goes to the term goes to zero and looks like So then the horizontal asymptote is . . .

test/259315: find all horizontal and vertical asymptotes h(x)= (2x-2)/(x^2-4) 1 solutions Answer 190950 by Fombitz(13828)   on 2010-01-21 15:24:00 (Show Source): You can put this solution on YOUR website! Vertical asymptotes occur when the denominator equal zero. As x becomes larger the function looks like (1/x), so the horizontal asymptote is

Expressions-with-variables/259390: Is there a solution to this problem ? 22x + 9y =4100 1 solutions Answer 190945 by Fombitz(13828)   on 2010-01-21 15:18:07 (Show Source): You can put this solution on YOUR website! No, that's the equation of a line. If you had two or more lines (a system of equations) you could check if they intersected, that is, shared an intersection point.

Probability-and-statistics/259382: The probability that San Francisco plays in the next Super Bowl is nine times the probability that they do not play in the next Super Bowl. The probability that San Francisco plays in the next Super Bowl plus the probability that they do not play is 1. What is the probability that San Francisco plays in the next Super Bowl? 1 solutions Answer 190943 by Fombitz(13828)   on 2010-01-21 15:16:47 (Show Source): You can put this solution on YOUR website! The probability that San Francisco plays in the next Super Bowl is 0.9.

test/259388: Find the first five terms of the given sequence (real confusing so work with me here) U0=1 u1=4 and un=(n) 2un-1+2 for n(is greater than or equal to) 2 1 solutions Answer 190940 by Fombitz(13828)   on 2010-01-21 15:14:29 (Show Source): You can put this solution on YOUR website! Just write it out, go one line at a time, then move on. It's pretty straightforward. , , , , , ,

Miscellaneous_Word_Problems/259375: Which of the following are units of density? a. pounds/ft3 b. g/ft2 c. m/kg3 d. kg/m 1 solutions Answer 190936 by Fombitz(13828)   on 2010-01-21 15:01:40 (Show Source): You can put this solution on YOUR website! Density is in units of mass/(length)^3 a) is the closest answer although lbs are not mass units, slugs/ft^3 is the real density unit.