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

Linear-equations/323702: Find the slope and y-intercept of the line with the equation -9x+3y=54 1 solutions Answer 231644 by Fombitz(13828)   on 2010-07-19 14:25:59 (Show Source): You can put this solution on YOUR website!

Linear-equations/323708: if 1/3(y+4)=3 what is y? 1 solutions Answer 231643 by Fombitz(13828)   on 2010-07-19 14:25:04 (Show Source): You can put this solution on YOUR website!

Linear-equations/323701: write an equation in slope intercept form of the line satisfying the given condition. The line passes through (-5, 6) and is perpindicular to the line that has an x intercept of 3 and a y intercept of -9 1 solutions Answer 231642 by Fombitz(13828)   on 2010-07-19 14:23:30 (Show Source): You can put this solution on YOUR website! First find the line it's perpendicular to, This line has a slope of Perpendicular lines have slopes that are negative reciprocals, . . . Use the point-slope form of a line with point (-5,6) and slope (m=1/3) . . .

absolute-value/323692: solve for |-426|-644= 1 solutions Answer 231638 by Fombitz(13828)   on 2010-07-19 14:17:14 (Show Source): You can put this solution on YOUR website!

expressions/323616: please help0 me simplify the following complex fraction __x+7_____ x to the forth _______________ 42+6x 1 solutions Answer 231637 by Fombitz(13828)   on 2010-07-19 14:16:15 (Show Source): You can put this solution on YOUR website! . . . .

Matrices-and-determiminant/323684: what is a dependent matrix? what is an inconsistant matrix? How do you can you tell? 1 solutions Answer 231635 by Fombitz(13828)   on 2010-07-19 14:11:08 (Show Source): You can put this solution on YOUR website! Dependent matrix would have a determinant of zero and when you looked at the rows, they would be multiples of each other. The right hand side would also have the same multiplier from line to line. As an example, [A]= [x]= [b]= The first equation would be and the second equation would be . So the second equation is twice the first equation. They are the same line. . . . An inconsistent matrix would also have a determinant of zero but the multiplier to go from one row to the next on the left hand side does not equal to the right hand side multiplier. Here's an example, [C]= [x]= [b]= where the equations are and , the lines are parallel.

Volume/323703: There is a flood. A large culvert washes out. To repair the road workers replace the old 6' by 25' culvert (cylinder) with two 4'x 25' culverts. Which can carry the greatest volume of water; the two new smaller culverts or the old larger one? 1 solutions Answer 231632 by Fombitz(13828)   on 2010-07-19 14:03:30 (Show Source): You can put this solution on YOUR website! The volume of a cylinder is, The old culvert could hold, The two new culverts can hold, As you can see the old culvert holds more than the new ones (32 vs. 36).

Polynomials-and-rational-expressions/323591: 72(a+b)^2-48(a+b)^3 1 solutions Answer 231628 by Fombitz(13828)   on 2010-07-19 13:45:41 (Show Source): You can put this solution on YOUR website!

Polynomials-and-rational-expressions/323683: How do you determine if a polynomial is the difference of two squares? Thank you so much for your help~~ 1 solutions Answer 231625 by Fombitz(13828)   on 2010-07-19 13:40:00 (Show Source): You can put this solution on YOUR website! Just by looking. You should have two terms : one with an even power of the variable, the other a constant term. It would look like, but could also look like, or You just need to be able to reduce it to a form like, Just like in the examples, . . .

Functions/323647: determine algebraically whether the function is even, odd, or neither even nor odd. f(x)=-5x^5+4x^3 1 solutions Answer 231623 by Fombitz(13828)   on 2010-07-19 13:34:35 (Show Source): You can put this solution on YOUR website! The function is odd.

Quadratic_Equations/323624: f(x)= (x+5)^2-2 The vertex is (ordered pair) the min value is f(x) = 1 solutions Answer 231622 by Fombitz(13828)   on 2010-07-19 13:29:15 (Show Source): You can put this solution on YOUR website! The equation is in vertex form. Vertex : (-5,-2) The minimum value occurs at the vertex since the parabola opens upwards.

Functions/323646: Find the requested composition of functions Given f(x)=4/(x-8) and g(x)=2/(7x), find (f of g)(x) 1 solutions Answer 231621 by Fombitz(13828)   on 2010-07-19 13:28:14 (Show Source): You can put this solution on YOUR website! Multiply numerator and denominator by ,

Functions/323644: Find and simplify the difference quotient ((f(x+h)-f(x))/h, f(x)=6x^2+5x 1 solutions Answer 231620 by Fombitz(13828)   on 2010-07-19 13:25:20 (Show Source): You can put this solution on YOUR website! . . . .

Quadratic_Equations/323622: f(x)=-3(x+1)^2 The vertex is (ordered pair) the equation of the line of symmetry is x= 1 solutions Answer 231619 by Fombitz(13828)   on 2010-07-19 13:21:28 (Show Source): You can put this solution on YOUR website! The equation is already in vertex form, , where (h,k) is the vertex. (h,k)=(-1,0) . . . The vertex lies on the axis of symmetry. . . .

Polynomials-and-rational-expressions/323673: how do you simplify: y/8 + y-3/16 Thank you! 1 solutions Answer 231618 by Fombitz(13828)   on 2010-07-19 13:18:44 (Show Source): You can put this solution on YOUR website!

percentage/323695: 2420/5500= % by hand??? 1 solutions Answer 231617 by Fombitz(13828)   on 2010-07-19 13:17:04 (Show Source): You can put this solution on YOUR website! . . . 2420 is 44% of 5500

Inequalities/323697: Hi, I am completing summer work for algebra 2, and one problem is an inequality that I cannot solve. 7x-(9x+1)>-5. Could you also explain how it is solved? 1 solutions Answer 231616 by Fombitz(13828)   on 2010-07-19 13:14:45 (Show Source): You can put this solution on YOUR website! <--- Distributive property <--- Simplify <--- Add 1 to both sides <--- Divide by (-2), change the direction of the inequality because you divided by a negative number.

Probability-and-statistics/323691: The amount of soda a dispensing machine pours into a 12 ounce can of soda follows a normal distribution with a mean of 12.03 ounces and a std deviation of 0.2 ounces. what portion of the soda can contains more than the 12 ounces advertised 1 solutions Answer 231615 by Fombitz(13828)   on 2010-07-19 13:12:55 (Show Source): You can put this solution on YOUR website! Find the zscore for 12 ounces. So the population that contains from 0 to 12 ounces would be 44.04%, the remaining population would contain greater than 12 ounces. . . . 55.96% would have more than 12 ounces.

Polynomials-and-rational-expressions/323502: Solve (x+15)(x-19)(x+13)>0 1 solutions Answer 231594 by Fombitz(13828)   on 2010-07-19 10:49:03 (Show Source): You can put this solution on YOUR website! Break up the number line into 4 regions. Region 1:(,) Region 2:(,) Region 3:(,) Region 4:(,) Choose an x value in each region (not an endpoint) and test the inequality. If the x value solves the inequality, that region is part of the solution. . . . Region 1: Let False, this region is not part of the solution. . . . Region 2: Let True, this region is part of the solution. . . . Region 3: Let False, this region is not part of the solution. . . . Region 4: Let True, this region is part of the solution. . . . Solution Region : (,) U (,) (NOTE: Scale of y axis: 1 division=250 units)

Probability-and-statistics/323508: Find the critical value zc necessary to form a confidence interval at the given level of confidence 1 solutions Answer 231590 by Fombitz(13828)   on 2010-07-19 10:28:04 (Show Source): You can put this solution on YOUR website! Not enough information provided. Please re-post.

Word_Problems_With_Coins/323509: you have nickeles, dimes, and quarters to make a call that costs 75 cents. How many different combinations of coins can you use to pay for the call? 1 solutions Answer 231589 by Fombitz(13828)   on 2010-07-19 10:27:33 (Show Source): You can put this solution on YOUR website! 16 total. Here are the 16 possible combinations for number of quarters, dimes, and nickels that sum to 75 cents. (3, 0, 0) (2, 0 5) (1, 0, 10) (1, 1, 8) (1, 2, 6) (1, 3, 4) (1, 4, 2) (1, 5, 0) (0, 0, 15) (0, 1, 13) (0, 2, 11) (0, 3, 9) (0, 4, 7) (0, 5, 5) (0, 6, 3) (0, 7, 1)

Quadratic_Equations/323621: give exact and approximate solutions to three decimal place (x+2)^2=9 1 solutions Answer 231585 by Fombitz(13828)   on 2010-07-19 10:18:18 (Show Source): You can put this solution on YOUR website! and and

Rational-functions/323620: Find the average rate of change of the function from x1 to x2. 7) f(x) = -3x2 - x from x1 = 5 to x2 = 6 1 solutions Answer 231582 by Fombitz(13828)   on 2010-07-19 10:10:17 (Show Source): You can put this solution on YOUR website!

Mixture_Word_Problems/323498: an airplane covers a distance of 1500 miles in three hours when it flies with the wind and 31/3 hours when it flies against the wind. what is the speed of the plane in still air? 1 solutions Answer 231573 by Fombitz(13828)   on 2010-07-19 09:04:19 (Show Source): You can put this solution on YOUR website! Let P be the plane speed in still air, W be the wind speed. Rate*Time=Distance 1. . . . 2. Add eq. 1 and eq. 2 to eliminate W. mph . . . Then use either equation to solve for W. mph

Probability-and-statistics/323593: A fair coin is tossed, and a fair six-sided die is rolled. What is the probability that the coin come up heads and the die will come up 1 or 2? A. 1/2 B. 1/4 C. 1/6 D. 1/12 E. 1/3 1 solutions Answer 231572 by Fombitz(13828)   on 2010-07-19 08:59:27 (Show Source): You can put this solution on YOUR website! P(heads)=1/2 . . . P(1)=1/6 P(2)=1/6 . . . P(1 or 2)=1/6+1/6=1/3 P(heads and 1 or 2)=(1/2)(1/3)=1/6 . . C) is the correct answer.

Quadratic_Equations/323500: an someone please help me with this : Determine a symmetrical pair of points , calculate the coordinates of the vertex and sketch the graph. y=x^2-6x+10 And please include the formula used to figure each answer. Thank you. 1 solutions Answer 231570 by Fombitz(13828)   on 2010-07-19 08:57:24 (Show Source): You can put this solution on YOUR website! Complete the square to put the equation into vertex form, , where (h,k) is the vertex. The vertex is (3,1). The axis of symmetry is x=3 so all point equidistant from the axis are symmetric. and (4,2) and (2,2) . . .

Permutations/323538: please help me solve this expression: 140! 1 solutions Answer 231565 by Fombitz(13828)   on 2010-07-19 08:43:03 (Show Source): You can put this solution on YOUR website! Not sure anyone would ever need to know that value. 140!=140*139*138*137*...*5*4*3*2*1

Quadratic_Equations/323602: x^4 - 5x^2 - 36 = 0 1 solutions Answer 231562 by Fombitz(13828)   on 2010-07-19 08:38:31 (Show Source): You can put this solution on YOUR website! Four solutions:

Average/323609: The average age of boys & girls in a class is 10.5 yrs. That of the boys is 10.6 & that of the girls is 10.1. If there are 60 boys in the class how many girls are there? 1 solutions Answer 231559 by Fombitz(13828)   on 2010-07-19 08:36:58 (Show Source): You can put this solution on YOUR website! Let B be the sum of ages of the boys, G sum of ages of the girls. Let Nb be the number of boys, Ng be the number of girls. 1. 2. 3. Then from eq. 1, From eq. 2, Substitute into eq. 3,

Triangles/323613: how to find the area of a triangle where the base is 12 centimerters amd the height the is 9 centimeters. (the answer will be in square centimeters.) 1 solutions Answer 231552 by Fombitz(13828)   on 2010-07-19 08:25:19 (Show Source): You can put this solution on YOUR website! The area of a triangle is, sq.cm.

Probability-and-statistics/323553: Two dice are rolled and one letter is chosen from a, b or c. Use the counting principle to determine the number of possible outcomes. 1 solutions Answer 231518 by Fombitz(13828)   on 2010-07-18 23:29:01 (Show Source): You can put this solution on YOUR website! Rolling two dice gives you 36 possible outcomes. So for each letter choice you'd have 36 possible outcomes. Since there are 3 letters that would make 3*36 or 108 possible dice/letter outcomes.