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

decimal-numbers/359537: Write each of the following as a common fraction or mixed number. Write your answer in lowest terms 0.067 1 solutions Answer 256621 by Fombitz(13828)   on 2010-10-21 11:06:54 (Show Source): You can put this solution on YOUR website!

Probability-and-statistics/359460: Data shows that 90% of the people in a certain population are right-handed. A group of 8 people from this population are selected at random. What is the probability that exactly 6 of the people in the group are right-handed? and What is the probability that at least 6 of the people in the group are right-handed? 1 solutions Answer 256620 by Fombitz(13828)   on 2010-10-21 11:05:50 (Show Source): You can put this solution on YOUR website! The assumption is that the choice is binary, right handed or left handed. . . . . . . At least 6 means 6,7, and 8. . .

Mixture_Word_Problems/359484: 1 solutions Answer 256618 by Fombitz(13828)   on 2010-10-21 10:59:15 (Show Source): You can put this solution on YOUR website! Please re-post.

Radicals/359624: i need help in finding the cube root of 16x^5 divided by the cube root of 2X^2 1 solutions Answer 256616 by Fombitz(13828)   on 2010-10-21 10:58:39 (Show Source): You can put this solution on YOUR website! . . . . . .

test/359525: 10-4(p+7=(1-p= 1 solutions Answer 256613 by Fombitz(13828)   on 2010-10-21 10:56:18 (Show Source): You can put this solution on YOUR website! Could you re-submit your problem? Why only a left paren?? Why two "=" signs?? Add words to describe what you're after, like "Solve for p."

Polynomials-and-rational-expressions/359523: P(x)=2x3+3x2-5x-12,What is the value of the P(X)? 1 solutions Answer 256612 by Fombitz(13828)   on 2010-10-21 10:54:25 (Show Source): You can put this solution on YOUR website! Can't determine the value of unless you provide a value for . . . .

Polynomials-and-rational-expressions/359619: Hello, I am stumped and any help would be much appreciated...Thanks! 14+5x-x^2 My strategy to factor this, was to re-write the expression to; -x^2+5x+14 and then to factor out a negative 0ne, producing the expression; x^2-5x-14 I then arrived that the solution: -1(x+2)(x-7) The book does not re-write the expression, but solves it right to left and arrives at the solution; (7-x)(2+x) I don't understand why they didn't re-write the expression, nor exactly how they came up with this solution. Again...any help is much appreciated. Thanks! 1 solutions Answer 256611 by Fombitz(13828)   on 2010-10-21 10:52:05 (Show Source): You can put this solution on YOUR website! It's the same answer. You could do it that way too but we all get used to doing things a certain way. Both ways work... it's just a matter of choice.

Numbers_Word_Problems/359474: Four Cousins were born at two-year intervals. If the sum of their ages is 36, what is the range for the ages of the cousins? 1 solutions Answer 256610 by Fombitz(13828)   on 2010-10-21 10:49:59 (Show Source): You can put this solution on YOUR website! Let their ages be ,,,. They are 6, 8, 10, and 12 years old and range from 6-12 years old.

Linear-equations/359616: I'm trying to sketch the graph of each line by finding the x and y intercepts x+2y=8 so far I have x+2(0)=8 x=8 (0)+2y=8 divide by 2 on both sides y=4 Am I doing this correctly because the graph only goes to 6 1 solutions Answer 256609 by Fombitz(13828)   on 2010-10-21 10:47:46 (Show Source): You can put this solution on YOUR website! Yes, now plot the point (8,0) and (0,4) and draw a line through them. Extend the graph if you can. If not, then count each division as 2, so 6 would actually be 12. . . .

Linear-equations/359612: find the equation for the line that passes through the point (-4,5) and that is parallel to the equation -3/2x-2y=11/2 1 solutions Answer 256607 by Fombitz(13828)   on 2010-10-21 10:45:09 (Show Source): You can put this solution on YOUR website! Parallel lines have identical slopes. Find the slope of the first line, . . . Now use the point-slope form of a line,

Polynomials-and-rational-expressions/359601: Please help me solve this problem: (2)/x(x-1)=1+(2)/(x-1)solve for x 1 solutions Answer 256600 by Fombitz(13828)   on 2010-10-21 10:07:04 (Show Source): You can put this solution on YOUR website! Use a common denominator, . . . . . . . . . . . . . . . .

Expressions-with-variables/359520: 3y+2/4 =7 1 solutions Answer 256597 by Fombitz(13828)   on 2010-10-21 10:01:25 (Show Source): You can put this solution on YOUR website! Now solve for .

Angles/359554: tow angles are complementary, their difference is 36, find the angles? 1 solutions Answer 256596 by Fombitz(13828)   on 2010-10-21 10:00:40 (Show Source): You can put this solution on YOUR website! By definition, Add the two equations, degrees Then degrees

Miscellaneous_Word_Problems/359586: If the sum and product of two numbers are equal, what are the numbers? 1 solutions Answer 256595 by Fombitz(13828)   on 2010-10-21 09:58:54 (Show Source): You can put this solution on YOUR website! Let the two numbers be x and y. . . . There are an infinite number of solutions. Pick any other than . The matching number that has the property that the product equals the sum would be As an example, True. . . . Another example, True.

Exponents/359600: Convert to decimal notation 8.81 x 10^7 i got 88100000 is this right?? please help 1 solutions Answer 256594 by Fombitz(13828)   on 2010-10-21 09:57:35 (Show Source): You can put this solution on YOUR website! Yes, correct. Well done.

Probability-and-statistics/359599: If a point is randomly chosen on the square shown, what is the probability that it will be in a yellow section of the figure? 1 solutions Answer 256593 by Fombitz(13828)   on 2010-10-21 09:55:58 (Show Source): You can put this solution on YOUR website! No square shown but the probability will be equal to the area of the yellow part divided by the area of the entire part.

Graphs/359583: how to trace (x^2-a^2)*(y^2-b^2)=a^2*b^2 1 solutions Answer 256590 by Fombitz(13828)   on 2010-10-21 09:50:05 (Show Source): You can put this solution on YOUR website! I think you mean plot the function. It's difficult without having some handle on and . The function would be of the form, . . . Here's the effect of changing , keeping fixed. . . . . . .Red:, Green:, Blue:, . . . Here's the effect of changing , keeping fixed. . . . . . . Red:, Green:, Blue:, . . . (0,0) is a solution independent of and . . . When , the solutions are of the form, and . When , the solutions are of the form, and . . . .

test/359504: (graph the system of inequalities) y is less than or equal to -2x^2 + 7x + 4 1 solutions Answer 256575 by Fombitz(13828)   on 2010-10-21 09:11:53 (Show Source): You can put this solution on YOUR website! Graph the parabola, . . . . . . Now choose a point not on the curve. (0,0) is always a convenient choice, if available. Test the inequality. If the inequality is satisfied, shade the region containing (0,0). If not shade the other region. . . True, shade the region containing (0,0). . . Solved by pluggable solver: Plot Any Inequality Graphing function :

Trigonometry-basics/359579: This is a non calculator question. Tan(A) = 0.75 Using this evaluate; (tan(A))/(1-tan^2(A)) 1 solutions Answer 256572 by Fombitz(13828)   on 2010-10-21 09:06:22 (Show Source): You can put this solution on YOUR website! . . . . . . . . . . . . . .

Quadratic_Equations/359576: please help me, very lost Find the vertex, the line of symmetry, and the maximum or minimum value of f(x). Graph the function. f(x) = 1/5(x+8)^2+2 1) The vertex is "ordered pair" ?? 2) The line of symmetry is x = ?? 3) What is the maximum/minimum value of f(x) ?? 4) Is the value, f(-8) = 2 a minimum or maximum ?? 1 solutions Answer 256569 by Fombitz(13828)   on 2010-10-21 09:03:10 (Show Source): You can put this solution on YOUR website! Don't be lost, study the "vertex form". . . . The equation is already in vertex form, where (h,k) is the vertex. 1) Comparing, (h,k)=(-8,2) . . 2) The vertex lies on the axis of symmetry, . . 3) Since and , then the parabola opens upwards and the value at the vertex () is a minimum. . . 4) From 3), it's a minimum. . . .

Graphs/359482: how to tell when is the number a closed dot or open dot 1 solutions Answer 256568 by Fombitz(13828)   on 2010-10-21 08:57:44 (Show Source): You can put this solution on YOUR website! Closed dot means that point is part of the solution. So when would look like, . . . Open dot means that the point is not part of the solution but represents a boundary. So when would look like, . . .

Square-cubic-other-roots/359470: 5th root of (x squared+2x) +1=0 1 solutions Answer 256565 by Fombitz(13828)   on 2010-10-21 08:51:57 (Show Source): You can put this solution on YOUR website!

Quadratic_Equations/359573: For the following equation, state the value of the discriminant and then describe the nature of the solutions. 1) What is the value of the discriminant ?? 2) Does the equation have two real solutions,two imaginary solutions, or one real solution??? please help me, i have been stuck on this one for days. If someone could show me what the answer is supposed to be i would appreciate it greatly. Thank you 1 solutions Answer 256564 by Fombitz(13828)   on 2010-10-21 08:47:35 (Show Source): You can put this solution on YOUR website! This question was answered 2 days ago. I'll post it again here as a courtesy. . . . . . . . . . . . . . . . If , you have two real roots. If , you have one real root. If , you have two complex roots.

Linear_Algebra/359472: x^2+y^2=24 y=2x+3 1 solutions Answer 256562 by Fombitz(13828)   on 2010-10-21 08:45:21 (Show Source): You can put this solution on YOUR website! 1. 2. Substitute eq. 2 into eq. 1 and solve for . Use the quadratic formula, Then from eq. 2, . . . (,)= (,) (,)=(,) . . .

Money_Word_Problems/359445: Jane has twenty bills in her wallet. She has a total of $80. If she has two more $5 bills than $10 bills, and four more $1 bills than $5 bills, how many bills of each does she have? 1 solutions Answer 256561 by Fombitz(13828)   on 2010-10-21 08:32:45 (Show Source): You can put this solution on YOUR website! Let X be the number of $1 bills, F be the number of $5, T the number of $10. 1. 2. 3. 4. Substitute eqs. 3 and 4 into eq. 2, Then from eq. 2, Then from eq. 3, . . . Ten $1 bills, six $5 bills, and four $10 bills.

Inequalities/359466: i was doing an equality homework and then i come to an "and" question. x-4 is greater than or equal to 5 "and" x-4 is less than or equal to 5. arn't the signs suppose to be going the same way on and questions. 1 solutions Answer 256560 by Fombitz(13828)   on 2010-10-21 08:28:06 (Show Source): You can put this solution on YOUR website! Solve them both at the same time. . . . . There is only one number that can satisfy both equations at the same time.

Equations/359469: Five- sixth of a number is -60 what is the number 1 solutions Answer 256559 by Fombitz(13828)   on 2010-10-21 08:25:23 (Show Source): You can put this solution on YOUR website! Let be your number.

Sequences-and-series/359465: What is the "nth" term of this sequence? a1=2 1/2, d=1 1/2, n=24 1 solutions Answer 256558 by Fombitz(13828)   on 2010-10-21 08:24:14 (Show Source): You can put this solution on YOUR website! . . . . .

Linear-equations/359463: Please help me solve this problem. Evaluate the slope of the line passing through (3,5) and (-3,13). Thank you. 1 solutions Answer 256557 by Fombitz(13828)   on 2010-10-21 08:21:27 (Show Source): You can put this solution on YOUR website! Use the formula for slope, . . Complete the calculation and simplify to get the slope.

Inequalities/359458: (-6,7)and(-9,y);slope:1/3 1 solutions Answer 256556 by Fombitz(13828)   on 2010-10-21 08:19:43 (Show Source): You can put this solution on YOUR website! Use the formula for slope, . . . . . . . . Solve the equation for .

Inequalities/359462: find the slope of a line parallel or perpendicular to each given line. 3x+y=0 x=0 1 solutions Answer 256555 by Fombitz(13828)   on 2010-10-21 08:17:39 (Show Source): You can put this solution on YOUR website! Parallel lines have slopes that are identical. Perpendicular line have slopes that are negative reciprocals. . . . Parallel, Perpendicular, . . . Slope is undefined. Parallel, slope is undefined. Perpendicular, .