See tutors' answers!

Algebra ->  Tutoring on algebra.com -> See tutors' answers!      Log On


   
By Tutor
 | By Problem Number | 

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

Polynomials-and-rational-expressions/330150: Can someone help me solve the problem x/3=4/x+1?
1 solutions

Answer 236586 by Fombitz(13828) About Me  on 2010-08-09 09:28:33 (Show Source):
You can put this solution on YOUR website!
x%2F3=4%2F%28x%2B1%29
Multiply both sides by 3%28x%2B1%29.
x%28x%2B1%29=12
x%5E2%2Bx-12=0
%28x%2B4%29%28x-3%29=0
Two solutions:
x%2B4=0
highlight%28x=-4%29
.
.
.
x-3=0
highlight%28x=3%29


Travel_Word_Problems/330057: Janet has $8.55 in nickels, dimes, and quarters. She has 7 more dimes than nickels and quarters combined. How many of each coin does she have?
3 years ago
1 solutions

Answer 236585 by Fombitz(13828) About Me  on 2010-08-09 09:26:06 (Show Source):
You can put this solution on YOUR website!
1.5N%2B10D%2B25Q=855
2.D=N%2BQ%2B7
Substituting eq. 2 into eq. 1,
5N%2B10N%2B10Q%2B70%2B25Q=855
15N%2B35Q=785
3N%2B7Q=157
There are multiple solutions because you have 1 equation with 2 unknowns.
1 nickels, 22 quarters, (19+4+7=)30 dimes
8 nickels,19 quarters, 34 dimes
15 nickels,16 quarters, 38 dimes
22 nickels,13 quarters, 42 dimes
29 nickels,10 quarters, 46 dimes
36 nickels,7 quarters, 50 dimes
43 nickels,4 quarters, 54 dimes
50 nickels,1 quarters, 58 dimes


Word_Problems_With_Coins/330088: You have 52 coins consisting of nickels and half-dollars. The number of half-dollars is 2 less than twice the number of nickels.
How many half-dollars do you have?
How many nickels do you have?
1 solutions

Answer 236584 by Fombitz(13828) About Me  on 2010-08-09 09:11:13 (Show Source):
You can put this solution on YOUR website!
Let H be the number of half dollars, N the number of nickels.
1.H%2BN=52
2.H=2N-2
Substitute eq. 2 into eq. 1,
2N-2%2BN=52
3N=54
N=18
Then from eq. 2,
H=36-2
H=34
.
.
.
34 half dollars and 18 nickels.


Numbers_Word_Problems/330063: (2x^−2y^3)^−2/x^3y^−4)^2
Simplify
1 solutions

Answer 236582 by Fombitz(13828) About Me  on 2010-08-09 09:08:00 (Show Source):


Equations/330041: solve each equation
1/3 -k+3/6k = 1/3k - k-1/2k

1 solutions

Answer 236579 by Fombitz(13828) About Me  on 2010-08-09 09:02:16 (Show Source):


Polynomials-and-rational-expressions/330046: Simplify by removing factors of 1
40^8/48q^12 =

1 solutions

Answer 236578 by Fombitz(13828) About Me  on 2010-08-09 08:59:05 (Show Source):
You can put this solution on YOUR website!
Do you mean %2840q%5E8%29%2F%2848q%5E12%29?
.
.
.
%2840q%5E8%29%2F%2848q%5E12%29=%285%2A8%2Aq%5E8%29%2F%286%2A8%2Aq%5E4%2Aq%5E8%29

%2840q%5E8%29%2F%2848q%5E12%29=5%2F%286q%5E4%29


Equations/330035: 3x^2+16x^3/x multiplied by x^2/9x^2 -1
1 solutions

Answer 236577 by Fombitz(13828) About Me  on 2010-08-09 08:56:30 (Show Source):


Equations/330034: 15t^3y^5/20w^7 multiplied by 24t^2w^3y^2
1 solutions

Answer 236575 by Fombitz(13828) About Me  on 2010-08-09 08:52:15 (Show Source):


Equations/330033: 12a-6/x^2-16
1 solutions

Answer 236572 by Fombitz(13828) About Me  on 2010-08-09 08:49:07 (Show Source):


expressions/330102: Translate the phrase to an algebraic expression. If no variable is given, use x as the variable.
P increased by p
1 solutions

Answer 236571 by Fombitz(13828) About Me  on 2010-08-09 08:48:12 (Show Source):


Graphs/330081: x2-4x=-4
x2+-1
1 solutions

Answer 236570 by Fombitz(13828) About Me  on 2010-08-09 08:47:35 (Show Source):
You can put this solution on YOUR website!
Your second expression is not an equation (missing =).
Please correct and repost.


Trigonometry-basics/330105: please find the slope of the tangent to the curve by y=cos x at x= pi/2
could you please show working. thank you.
1 solutions

Answer 236569 by Fombitz(13828) About Me  on 2010-08-09 08:46:14 (Show Source):
You can put this solution on YOUR website!
The slope of the tangent is equal to the value of the derivative of cos(x) at that point.
m=d%28cos%28x%29%29%2Fdx=-sin%28x%29
m=-sin%28pi%2F2%29
m=-1
.
.
.


Rational-functions/330082: Please Help me solve find all numbers for which the ratinoal expression is undefined - 9/16z (the entire problem is negative not just the nine)
1 solutions

Answer 236567 by Fombitz(13828) About Me  on 2010-08-09 08:39:57 (Show Source):
You can put this solution on YOUR website!
The expression is undefined when the denominator equals zero since divison by zero is undefined.
16z=0
highlight%28z=0%29


Square-cubic-other-roots/330130: simplify the provided power of i. show work
i%5E25
1 solutions

Answer 236566 by Fombitz(13828) About Me  on 2010-08-09 08:38:26 (Show Source):


expressions/330106: What is the difference in elevation between the top of a mountain 8,867 ft above sea level and a point in a valley 248 ft below sea level?
1 solutions

Answer 236564 by Fombitz(13828) About Me  on 2010-08-09 08:35:52 (Show Source):
You can put this solution on YOUR website!
Above sea level would be a positive height, below sea level would be a negative height.
D=8867-%28-248%29=8115ft


Square-cubic-other-roots/330110: simplify the radical
sqrt%2872m%5E5n%5E2%29
1 solutions

Answer 236563 by Fombitz(13828) About Me  on 2010-08-09 08:32:34 (Show Source):


Radicals/330127: in the right triangle, find the length of the side not given b=1, c=√17. The length of the third side is?
1 solutions

Answer 236561 by Fombitz(13828) About Me  on 2010-08-09 08:31:01 (Show Source):
You can put this solution on YOUR website!
Use the Pythagorean theorem,
a%5E2%2Bb%5E2=c%5E2
a%5E2%2B1=17
a%5E2=16
highlight%28a=4%29


Radicals/330129: simplify the radical expression. show work
sqrt%28-25%29%2Asqrt%28-36%29
1 solutions

Answer 236560 by Fombitz(13828) About Me  on 2010-08-09 08:29:38 (Show Source):


Polynomials-and-rational-expressions/330126: solve 10x^4-17x^2+3=0
1 solutions

Answer 236559 by Fombitz(13828) About Me  on 2010-08-09 08:27:23 (Show Source):
You can put this solution on YOUR website!
This is a quadratic equation in x%5E2 and not x.
Solve it by factoring.
10x%5E4-17x%5E2%2B3=%285x%5E2-1%29%282x%5E2-3%29=0
Four solutions:
5x%5E2-1=0
5x%5E2=1
x%5E2=1%2F5
highlight%28x=0+%2B-+sqrt%285%29%2F5%29
.
.
.
2x%5E2-3=0
2x%5E2=3
x%5E2=3%2F2
highlight%28x=0+%2B-+%283sqrt%282%29%29%2F2%29


logarithm/330101: Solve the equation for x and round your answer to the nearest hundreth.
5 = ln(x + 1)
1 solutions

Answer 236558 by Fombitz(13828) About Me  on 2010-08-09 08:24:28 (Show Source):
You can put this solution on YOUR website!
5+=+ln%28x+%2B+1%29
e%5E5=x%2B1
x=e%5E5-1 or approximately,
x=147.41


Polynomials-and-rational-expressions/330124: Factor completely. 8x^8-16x^7+48x^6
1 solutions

Answer 236557 by Fombitz(13828) About Me  on 2010-08-09 08:22:17 (Show Source):


Polynomials-and-rational-expressions/330120: Multiply (s+1/3)(s+1/4)


1 solutions

Answer 236556 by Fombitz(13828) About Me  on 2010-08-09 08:20:54 (Show Source):
You can put this solution on YOUR website!
Use the FOIL method,
%28s%2B1%2F3%29%28s%2B1%2F4%29=s%5E2%2B%281%2F4%29s%2B%281%2F3%29s%2B1%2F12
%28s%2B1%2F3%29%28s%2B1%2F4%29=s%5E2%2B%283%2F12%29s%2B%284%2F12%29s%2B1%2F12
%28s%2B1%2F3%29%28s%2B1%2F4%29=s%5E2%2B%287%2F12%29s%2B1%2F12


Square-cubic-other-roots/330122: simplify expression using division property of radicals. assume all variables represent positive real numbers.
sqrt%2848z%5E3%29%2Fsqrt%286z%29
1 solutions

Answer 236555 by Fombitz(13828) About Me  on 2010-08-09 08:19:40 (Show Source):


Quadratic_Equations/330123: Wrie a quadratic equation in the variable x having the given numbers as solutions. Type the equation in standard form, ax^2+bx+c=0. Solution 3, only solution. The solution is?
1 solutions

Answer 236554 by Fombitz(13828) About Me  on 2010-08-09 08:18:37 (Show Source):


Radicals/330111: simplify the radical. show work
sqrt%284h%2F100h%5E5%29
1 solutions

Answer 236551 by Fombitz(13828) About Me  on 2010-08-09 08:17:57 (Show Source):


Polynomials-and-rational-expressions/330113: multiply (-4x)^2(2x^2)^3
1 solutions

Answer 236550 by Fombitz(13828) About Me  on 2010-08-09 08:16:22 (Show Source):


Equations/329954: Write the equation of a circle in standard form with the following properties.
Center at (1, 1); radius 10
1 solutions

Answer 236516 by Fombitz(13828) About Me  on 2010-08-08 22:38:47 (Show Source):


Exponential-and-logarithmic-functions/329970: Use th equation of the exponential function whose graph passes through the points (0, -2) and (2, -50) to find the value of y when x = -2
1 solutions

Answer 236515 by Fombitz(13828) About Me  on 2010-08-08 22:37:35 (Show Source):
You can put this solution on YOUR website!
y=Ca%5E%28x%29
.
.
.
y%280%29=Ca%5E%280%29
C=-2
.
.
.
y=-2a%5E%28x%29
-2a%5E2=-50
a=5
.
.
.
y=-2%285%29%5Ex
y%28-2%29=-2%285%5E%28-2%29%29=-2%2F25


Equations/329956: The arch of an underpass is part of an ellipse. Find the equation of the ellipse. Assume a = 50, b = 15.
____________=1
1 solutions

Answer 236514 by Fombitz(13828) About Me  on 2010-08-08 22:34:28 (Show Source):


Polynomials-and-rational-expressions/329967: For what value(s) of x is the expression x^2 - 4x + 4 / 2x^2 - 3x - 2 undefined?
a. -1/2, 0, 2
b. -1/2, 2
c. -2, 1/2
d. -1/2
1 solutions

Answer 236513 by Fombitz(13828) About Me  on 2010-08-08 22:34:00 (Show Source):
You can put this solution on YOUR website!
%28x%5E2+-+4x+%2B+4%29%2F%282x%5E2+-+3x+-+2+%29=%28x-2%29%5E2%2F%28%282x%2B1%29%28x-2%29%29
%28x%5E2+-+4x+%2B+4%29%2F%282x%5E2+-+3x+-+2+%29=%28x-2%29%2F%282x%2B1%29
The denominator equals zero when
2x%2B1=0
2x=-1
x=-1%2F2


Graphs/329962: Graph the inequality on a plane 4x+5y<=20
1 solutions

Answer 236512 by Fombitz(13828) About Me  on 2010-08-08 22:29:58 (Show Source):
You can put this solution on YOUR website!
4x%2B5y%3C=20}
5y%3C=-4x%2B20
y%3C=-%284%2F5%29x%2B4
Graph the line,
y=-%284%2F5%29x%2B4
.
.
.
graph%28300%2C300%2C-10%2C10%2C-10%2C10%2C-%284%2F5%29x%2B4%29
Pick a point in either region.
(0,0) is always a convenient point.
Test the inequality.
4x%2B5y%3C=20
4%280%29%2B5%280%29%3C=20
0%3C=20
True, (0,0) is in the solution region.
Shade that region.
.
.
.
Solved by pluggable solver: Plot Any Inequality
Graphing function y%3C=-%284%2F5%29x%2B4:

graph%28+300%2C+300%2C+-10%2C+10%2C+-10%2C+10%2C+y%3C=-%284%2F5%29x%2B4+%29