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/258677: The acceleration of an object after t seconds is a(t)=t^2+5ms^-2 . If the velocity at t=2 was 6ms^-1 , what was the velocity at t=4? 1 solutions Answer 190567 by Fombitz(13828)   on 2010-01-20 14:40:21 (Show Source): You can put this solution on YOUR website! Acceleration is the derivative of velocity. You can integrate to find velocity. Use the condition to solve for C.

Mixture_Word_Problems/258678: How many liters of water containing 3 grams of salt per liter must be combined with 4 liters of water which contains y grams (y is less than 2) of salt per liter to yield a solution with 2 grams of salt per liter. 1 solutions Answer 190565 by Fombitz(13828)   on 2010-01-20 14:36:26 (Show Source): You can put this solution on YOUR website! Let L be the number of liters of 3 g/L solution to be added.

Probability-and-statistics/258726: Suppose that 10 numbers are select at random from the interval [0, 1]. Find the probability that the first 5 are less than 1/4 and at least one of the numbers is less than 1/10. solve this 1 solutions Answer 190563 by Fombitz(13828)   on 2010-01-20 14:31:41 (Show Source): You can put this solution on YOUR website! The assumptions is that all numbers are equally likely. Choosing each number is an independent event.

Numbers_Word_Problems/258693: the difference between three more than twice the smaller number and one more than the larger number, than simplify 1 solutions Answer 190561 by Fombitz(13828)   on 2010-01-20 14:27:50 (Show Source): You can put this solution on YOUR website! Could you please clarify your question?

Numbers_Word_Problems/258692: the difference between three more than twice the smaller number and one more than the larger number 1 solutions Answer 190560 by Fombitz(13828)   on 2010-01-20 14:27:00 (Show Source): You can put this solution on YOUR website! I think you got cut off from your complete question. Please re-post.

Linear-equations/258825: what is the soulultion to the system of equation of equation?(At what point do they intersect? 1 solutions Answer 190559 by Fombitz(13828)   on 2010-01-20 14:25:32 (Show Source): You can put this solution on YOUR website! Yes, where they intersect is the solution. If they don't intersect (parallel lines), there is no solution. If they are the same line, there are infinitely many solutions.

Miscellaneous_Word_Problems/258832: A certain airplane has two independent alternators to provide electrical power. The probability that a given alternator will fail on a one-hour flight is .02. What is the probability that (a) both will fail? (b) Neither will fail? (c) One or the other will fail? Show all steps carefully. 1 solutions Answer 190557 by Fombitz(13828)   on 2010-01-20 14:23:55 (Show Source): You can put this solution on YOUR website! THANKS TO RICHWMILLER for pointing out the error in the failure rate value and putting in the correction: I'm not sure I'd fly in a plane with a 0.2 failure rate for the alternator. . . . P(both fail)= P(neither fail)= P(one fails)=P(first fails,second doesn't)+P(first doesn't, second fails)= Ptotal= (all possible events are covered)

Expressions-with-variables/258842: a + b = 10 3a + 2b = 40 To solve the above system of equations using the substitution method you could substitute which of the following into the second equation? b=10+a a = 10 + b a = 10 - b 2b = 10 - a 1 solutions Answer 190556 by Fombitz(13828)   on 2010-01-20 14:21:58 (Show Source): You can put this solution on YOUR website! Use eq. 1, Substitute that into the second eq. for a and solve for b.

Linear_Algebra/258847: the equation is....1/6(x+12)+1=x/3 I believe i use the common denominator 6 to multiply each side?? If so, how do I multiply 6(x/3)? thank you gjvasquez@cox.net 1 solutions Answer 190555 by Fombitz(13828)   on 2010-01-20 14:20:54 (Show Source): You can put this solution on YOUR website! Could you please re-state your problem and don't be shy with the parentheses? It will make it much clearer. I'm not sure which of these 3 equations you're trying to solve.

Graphs/258844: When graphing 2 lines on the same graph, which of the following will result in an algebraic solution that is the point (x, y)? coincident lines perpendicular lines none of the above 1 solutions Answer 190554 by Fombitz(13828)   on 2010-01-20 14:10:25 (Show Source): You can put this solution on YOUR website! Coincident lines yield infinitely many solutions. Perpendicular lines yield one point solution.

Expressions-with-variables/258849: Choose the ordered pair that is a solution to the system of equations. 3x - 2y = 5 6x - 3y = 2 (-8, -11/3) (8, -11/3) (11/3, -8) (-11/3, -8) 1 solutions Answer 190552 by Fombitz(13828)   on 2010-01-20 14:08:26 (Show Source): You can put this solution on YOUR website! Multiply eq.1 by -2 and add to eq. 2, Then from eq. 1, . . . (-11/3, -8)

Evaluation_Word_Problems/258706: MS. SMITH CAN EITHER BUY 6 APPLES AND 2 ORANGES FOR $1.50 OR 5 APPLES AND 4 ORANGES FOR $1.60. How much does one apple cost? 1 solutions Answer 190551 by Fombitz(13828)   on 2010-01-20 14:04:11 (Show Source): You can put this solution on YOUR website! A-price of an apple Q-price of an orange (O looks like 0 and might be confusing) Multiply the first eq. by (-2) and add to the second to get rid of Q. Then from eq. 1, Apples are $0.20 a piece, oranges are $0.15 a piece.

Graphs/258841: I have a graph question but i can not submit it this way please contact me so that i can email the question to you! Please someone respond,I have been stuck on this problem for about two months now please email me at feldershanika@aol.com 1 solutions Answer 190550 by Fombitz(13828)   on 2010-01-20 14:00:48 (Show Source): You can put this solution on YOUR website! Reply to this message and I'll see if I can help.

Average/258846: Hi, I'm trying to help my son with this problem. My answer was 23/30 is that correct? Simplify: 2/3 +3/10 -2/5 2/3 + 3/10 = 11/30 then that minus 2/5? When I did it on an online math calculator, it said the answer is 17/30. I don't understand how that can be? Thanks for your help! :) 1 solutions Answer 190549 by Fombitz(13828)   on 2010-01-20 13:59:42 (Show Source): You can put this solution on YOUR website! Whenever you have fractions, you need a common denominator. In this case 30 will work. It's also the least common denominator. Convert each to a fraction with a denominator of 30. So then

Graphs/258840: how to graph f(7) on graph? 1 solutions Answer 190547 by Fombitz(13828)   on 2010-01-20 13:54:41 (Show Source): You can put this solution on YOUR website! What is your function, your f(x)? Then you choose an x value, calculate the y value or f(x) and plot them as coordinate pairs (x,y) or (x,f(x)) on the coordinate plane.

Expressions-with-variables/258845: What would be the most efficient first step to solve the following system of equations by the addition method? 2x+3y=6 4x+5y=0 Multiply the first equation by 3. Multiply the first equation by -3. Multiply the first equation by 2. Multiply the first equation by -2. 1 solutions Answer 190545 by Fombitz(13828)   on 2010-01-20 13:52:40 (Show Source): You can put this solution on YOUR website! Multiply the first equation by -2. Then by adding the two equations, you would remove x, and have a direct value (almost) for y.

Probability-and-statistics/258838: A certain airplane has two independent alternators to provide electrical power. The probability that a given alternator will fail on a one-hour flight is .02. What is the probability that (a) both will fail? (b) Neither will fail? (c) One or the other will fail? Show all steps carefully. 1 solutions Answer 190540 by Fombitz(13828)   on 2010-01-20 13:42:00 (Show Source): You can put this solution on YOUR website! P(both fail)= P(neither fail)= P(one fail)=P(first fails,second doesn't)+P(first doesn't, second fails)= Ptotal= (all possible events are covered)

Surface-area/258707: An equilateral triangle has an area of 9 root 3 square inches. How many inches is the perimeter? 1 solutions Answer 190538 by Fombitz(13828)   on 2010-01-20 13:38:27 (Show Source): You can put this solution on YOUR website! The area of an equilateral triangle is, 18 inches.

Angles/258830: How would you set up the following (set up like an equation to solve)? "One angle of a triangle is four times as great as a second angle. The third angle measures 5° more than twice the second angle. Find the measures of the angles". Thanks Much 1 solutions Answer 190537 by Fombitz(13828)   on 2010-01-20 13:36:32 (Show Source): You can put this solution on YOUR website! Second angle: First angle : Third angle:

Expressions-with-variables/258837: Solve the following systems of equations algebraically. Show your work. 5x-y=-5 3x-5y=-3 1 solutions Answer 190536 by Fombitz(13828)   on 2010-01-20 13:34:58 (Show Source): You can put this solution on YOUR website! Multiply the first eq. by (-5) and add them together. Then from eq. 1,

Radicals/258709: the square root of 3x times the square root of 15xy 1 solutions Answer 190535 by Fombitz(13828)   on 2010-01-20 13:33:22 (Show Source): You can put this solution on YOUR website!

Miscellaneous_Word_Problems/258822: A photographer is mixing 5% acetic acid solution with a 10% acetic acid solution to get 2 liters of a 7% solution. How many liters of each solution should he add? 1 solutions Answer 190533 by Fombitz(13828)   on 2010-01-20 13:28:49 (Show Source): You can put this solution on YOUR website! F-liters of 5% solution T-liters of 10% solution 1.Volume equation: 2.Concentration equation: Use eq. 1 to solve for F in terms of T and substitute into eq.2, 2. Then from eq. 1, Use 4/5 liter of 5% solution and 6/5 liter of 10% solution.

Linear-equations/258827: What is the soultion to the system of equations? y=3x or y=5x-8? 1 solutions Answer 190532 by Fombitz(13828)   on 2010-01-20 13:27:21 (Show Source): You can put this solution on YOUR website! I think you mean "and" instead of "or"?? Since they both equal y, set them equal to each other and solve for x. Now go back to either equation and solve for y. . . . (x,y)=(4,12) . . .

Triangles/258829: Describe the possible lengths of the third side of the triangle given the lengths of the other two sides 4 inches, 7 inches 1 solutions Answer 190531 by Fombitz(13828)   on 2010-01-20 13:24:33 (Show Source): You can put this solution on YOUR website! Imagine the two lengths like hands on a clock. Since they're a triangle they cannot exactly line up to form a triangle. If they were almost on top of each other, like the clock at 12:01, the final leg would be of length, Now imagine they are 180 degrees apart like at 6:00. At that point, the final leg would have to be Since they cannot be either of those two values, the value can be any number in between them.

Mixture_Word_Problems/258810: A photographer is mixing 5% acetic acid solution with a 10% acetic acid solution to get 2 liters of a 7% solution. How many liters of each solution should he add? 1 solutions Answer 190530 by Fombitz(13828)   on 2010-01-20 13:21:04 (Show Source): You can put this solution on YOUR website! F-liters of 5% solution T-liters of 10% solution 1.Volume equation: 2.Concentration equation: Use eq. 1 to solve for F in terms of T and substitute into eq.2, 2. Then from eq. 1, Use 4/5 liter of 5% solution and 6/5 liter of 10% solution.

Polynomials-and-rational-expressions/258820: Fator each polynomial completely: 3x^2 - 30x + 27 1 solutions Answer 190527 by Fombitz(13828)   on 2010-01-20 13:17:07 (Show Source): You can put this solution on YOUR website!

Polynomials-and-rational-expressions/258821: Can someone tell me how to factor the polynomial completely: 4x^2 - 169 1 solutions Answer 190526 by Fombitz(13828)   on 2010-01-20 13:16:03 (Show Source): You can put this solution on YOUR website! Whenever you have a difference of squares, it factors as follows. In your case,

Volume/258690: A spherical balloon increases in volume by 100%. By what percentage does its radius increase? 1 solutions Answer 190525 by Fombitz(13828)   on 2010-01-20 13:14:04 (Show Source): You can put this solution on YOUR website! 100% means doubled. The new volume is now, 26% increase in radius.

Miscellaneous_Word_Problems/258789: I am stumped on a word problem. Please read the problem and what I have figured below. One angle of a triangle measures 10 degrees more than the second angle. The measure of the third angle is twice the sum of the measures of the first two angles. Determine the measure of each angle. angle 1: x + 10 angle 2: x angle 3: 2(x+x+10) I have been unable to determine what to do next. Please respond with assistance. Thank you, Donna 1 solutions Answer 190503 by Fombitz(13828)   on 2010-01-20 11:18:30 (Show Source): You can put this solution on YOUR website! The sum of the angles in a triangle is 180. You have all the angles in terms of x. Now sum them and solve for x. Re-post if you get stuck.

Numbers_Word_Problems/258732: For every positive 2-digit number, x, with tens digit t and units digit u, let y be the 2-digit number formed by reversing the digits of x. Which of the following expressions is equivalent to x − y ? a) 9(t − u) b) 9(u − t) c) 9t − u d) 9u − t e) 0 1 solutions Answer 190502 by Fombitz(13828)   on 2010-01-20 11:16:39 (Show Source): You can put this solution on YOUR website! a) is the correct answer Example:

Expressions-with-variables/258665: The sum of a lesser number and twice a greater number equals 8. The sum of twice the lesser number and the greater number equals-6. What are the two numbers? 1 solutions Answer 190501 by Fombitz(13828)   on 2010-01-20 11:12:55 (Show Source): You can put this solution on YOUR website! Let A be the smaller number, B the larger. 1. 2. Multiply the first equation by -2 and add to the second, Then from eq. 1,