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
Equations/363077: Solve 3x-5(x-6)=2(10-x)
Here is my work, but I am not coming out with a correct answer.
3x - 5x + 30 = 20 - 2x
2x + 3x - 5x + 30 = 20
0x = -10
1 solutions
Answer 258849 by Fombitz(13828) on 2010-10-28 11:09:52 (Show Source):
You can put this solution on YOUR website!No, that's the correct answer.

Since the solution leads to an inconsistency, there is no solution.
No value for  can make that above statement true.
|
Numeric_Fractions/363094: What does opposite mean in math terms? 1 solutions
Answer 258844 by Fombitz(13828) on 2010-10-28 11:02:44 (Show Source):
You can put this solution on YOUR website!In addition, it's the additive inverse.
The number you add to another number to get zero.
Example: 3+ (-3)=0
So -3 is the additive inverse of 3.
.
.
.
In multipication, it's the multiplicative inverse.
The number you multiply another number by to get 1.
Example: 5*(1/5)=1
So (1/5) is the multiplicative inverse of 5.
.
.
.
In that sense, those two examples highlight "opposites".
|
Probability-and-statistics/363074: Hello, Can someone please check my work.
Essay; show all work. A simple dartboard has three areas… the main board has a radius of 10 inches, there is a circle with a radius of 5 inches, and the bullseye has a radius of 2 inches. What is the probability of a random dart landing inside the bullseye. Here is my Answer:
Find the Area of Bull’s-eye
A = pi *r^2 Start with the area of a circle formula.
A = pi*(2)^2 we plug in r=2
A = 3.14159*(2)^2 we replace pi with 3.14159 ( since pi is approximately 3.14159
A = 3.14159*(4) we square 2 to get 4
A=12.56636 we multiply 3.14159 and 4 to get 12.56636
So the area of the bull’s-eye with a radius of 2 units is roughly 12.56636 square units, the nearest thousandth.
Area of a whole board
A = pi * r^2 Start with the area of a circle formula.
A = pi * (15)^2 we plug in r=15
A = 3.14159*(15)^2 We replace pi with 3.14159 (since pi is approximately 3.14159)
A = 3.14159*(225) Square 15 to get 225.
A=706.85775 Multiply 3.14159 and 225 to get 706.85775
So the area of the circle with a radius of 15units is roughly 706.85775 square units.
CHANCE FOR A BULL'S EYE. 12.56636/706.85775 =0.017778 square units
1 solutions
Answer 258824 by Fombitz(13828) on 2010-10-28 10:10:52 (Show Source):
|
Percentage-and-ratio-word-problems/363070: the price of an article has been reduced 25% in order to restore the original price, the price must be increased by 1 solutions
Answer 258821 by Fombitz(13828) on 2010-10-28 10:05:40 (Show Source):
You can put this solution on YOUR website!Let the original price be P.
The sale price is (3/4)P.
To get back to P, multiply by X.

Increase the sale price by 1/3 to get back to the original price.
.
.
Example,
The original price of the sweater was $10.
Sale price was $7.50 or $2.50 off.
To get back to $10.00, we need to add $2.50.
|
Mixture_Word_Problems/362875: Suppose you are a salesperson for quark computer company. Each month you earn $500 plus one sixth of your sales. What amount must you sell this month to earn $3000?
1 solutions
Answer 258816 by Fombitz(13828) on 2010-10-28 09:53:28 (Show Source):
|
Proportions/362891: I think this is a proportion problem. A survey indicated that 5 out of 9 doctors use Zed pain reliever. If 3600 doctors were surveyed, how many use Zed?
I got x= 2000. Is this correct? 1 solutions
Answer 258814 by Fombitz(13828) on 2010-10-28 09:51:43 (Show Source):
|
Linear_Equations_And_Systems_Word_Problems/362889: Due to melting, an ice sculpture loses one-half its weight every hour. After 8 hours, it weighs 5/16 of a pound. How much did it weigh in the beginning.
I did 5/16+8 and put the fraction into decimal form then added the two together and got 8.3125. Then its says 1/2 of the that is lost in weight. Now I multiplied the 8.3125 to .05(The decimal of 1/2) then got 4.15625. I dont know if that is correct or what and i used samdep instead of pemdas its pemdas backwards because it says to solve backwards using asmdep. 1 solutions
Answer 258813 by Fombitz(13828) on 2010-10-28 09:50:33 (Show Source):
You can put this solution on YOUR website!Let's say it weighed  to start.
After  hour, it weighs 
After  hours, it weighs 
After  hours, it weighs 
After  hours, it weighs 
After  hours, it weighs 
After  hours, it weighs 
After  hours, it weighs 
After  hours, it weighs 
But you know that

So then,
 lbs
.
.
.
You could also work it backwards,
After  hours it weighs  lb.
After  hours it weighed  lb.
After  hours it weighed  lb.
After  hours it weighed  lb.
After  hours it weighed  lb.
After  hours it weighed  lb.
After  hours it weighed  lb.
After  hours it weighed  lb.
After  hours it weighed  lb.
|
Linear-equations/362963: I need help with graphing an answer on to a graph can you help?
Answer is t(2010)=7000
t=year and 7000 is population 1 solutions
Answer 258810 by Fombitz(13828) on 2010-10-28 09:36:24 (Show Source):
You can put this solution on YOUR website!Make a graph with an x-axis labeled as years and y-axis labeled as population.
Make the limits whatever you think are reasonable.
The years (x-axis) must have 2010 on it and population must have 7000 on it.
Move to 2010 on the x-axis.
Move up from there to 7000 on the y-axis and mark the point.
.
.
.
|
Linear-equations/363062: Find an equation of the line containing the point (2, -1) and parallel to the line 8x=7y-24. Please provide step-by-step for arriving to the answer. Thanks to my textbook I know the answer is y=8/7x-23/7. I want to know how they arrived at that answer, because when I do it I get y=8/7x+24/7. 1 solutions
Answer 258808 by Fombitz(13828) on 2010-10-28 09:33:02 (Show Source):
You can put this solution on YOUR website!First find the slope by converting to slope-intercept form,
 <--- That's the slope-intercept form of the first line.
Parallel lines have identical slopes.

.
.

Now use point (2,-1) to solve for  .

.
.
.
 <--- That's the slope-intercept form of the second line.
.
.
.
|
Proofs/362883: Use cases to prove that x^2+x-1=0 has no rational solutions. 1 solutions
Answer 258797 by Fombitz(13828) on 2010-10-28 09:08:18 (Show Source):
You can put this solution on YOUR website!By the rational roots theorem, if the equation has rational roots, they are of the form,
 or 
For  ,
 so that is not a solution.
For  ,
 so that is not a solution.
So there are no rational roots.
.
.
.
|
Geometry_Word_Problems/362915: A SHIP SAILS 300 KM DUE WEST AND THAN 100 KM DUE SOUTH. AT THE END OF THE JOURNEY, HOW FAR IS THE SHIP FROM ITS STARTING POSITION? 1 solutions
Answer 258790 by Fombitz(13828) on 2010-10-28 08:59:34 (Show Source):
You can put this solution on YOUR website!The west and south displacements form a right triangle.
The hypotenuse of the triangle is the distance from the starting position.
Use the Pythagorean theorem,
 km
|
Triangles/362896: Find the area of the triangle.
the height is dashed through the middle and says 7 and it is a 90 degree angle
and the base is twelve.
1 solutions
Answer 258787 by Fombitz(13828) on 2010-10-28 08:52:10 (Show Source):
|
Systems-of-equations/362918: Please help me solve this problem by the elimination method. I am having a lot of trouble understanding how to solve for y after I solve for x. And I have a problem solving for x when a fraction is involved as is in this problem.
0.3x - 0.2y=4
0.4x - 0.5y=-55/17
I understand that the first equation will be 0.3x = 4, and the second will be 0.4x=-55/17;
Don't know what to do after this. I do not get the elimination method.
Thank you. 1 solutions
Answer 258783 by Fombitz(13828) on 2010-10-28 08:39:41 (Show Source):
You can put this solution on YOUR website!1. 
2. 
If you don't like fractions or decimals, get rid of them by multiplying.
Multiply both equations by 10 to get rid of decimals.
1. 
2. 
Now multiply the second equation by 17 to get rid of the fraction.
2. 
.
.
.
OK now you have 2 equations and you want to get rid of one variable.
1. 
2. 
If you multiply the first equation by 85 and the second equation by (-2) and add them, you can eliminate  and solve for  .

Now that you have  , use either equation to solve for  .
Both equations will work.
1.
|
|