Questions on Algebra: Polynomials, rational expressions and equations answered by real tutors!

Tutors Answer Your Questions about Polynomials-and-rational-expressions (FREE)

Question 40333: |5 � x| ≤ 4
Click here to see answer by abcdefg(37)

Question 40399: Harry has $4000 invested in 2 savings accounts. One account earns 6% interest per year, and the other pays 7% per year. If his total interest for the year is $264, how much is invested at 7%?---isnt it $167

Click here to see answer by 1guru(1)

Question 40410: A tank can be filled in 18 hours by Pipe A or 24 hours by Pipe B. How long would it take both pipes to fill the tank?
_____hours
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It takes Sarah 8 hours to fill a Widget. Jerry can do the same job in 12 hours. How long would it take them to assemble a Widget if they worked together?
_______hours.
Thanks
Click here to see answer by venugopalramana(3286)

Question 40409: Company X can install chairs in a theater in 10 hours. Company Y can install them in 15 hours. How long would it take the two companies, working together to install the chairs.
______hours.
Thanks
Click here to see answer by fazlerabbi(9)

Question 40402: $600 is borrowed at an interest rate of 1.4% per month. Find the interest for a 30 month period.
$_____
---is it $18000???
thank u very much
Click here to see answer by fazlerabbi(9)

Question 40375: Evaluate.
4^0
Click here to see answer by fazlerabbi(9)

Question 40421:
Factor x⁴ - x³ - 7x² + x + 6 = 0 Possible answers: a. (x-6) b. (x-3) c. (x-2) d. (x+6)

Click here to see answer by AnlytcPhil(1806)

Question 40429: Divide.
15z^5 / 5z^2
Thanks!
Click here to see answer by josmiceli(19441)

Question 40411: Christy spent $500 over her budget on gifts during the holidays. In addition to her regular job, she took a part time job at the Pharmacy that paid $10 per hour. Her schedule would allow her to work 12 extra hour a week at the pharmacy. How many whole weeks will it take Christy to have enough money to pay off the debt? --- is it 5 weeks or four???
Thanks
Click here to see answer by josmiceli(19441)

Question 40407: The irrigation system needs about 3 times as long to complete a job as another irrigation system. When both systems operate at the same time the job can be completed in 9 hrs. How long does it take the fast system to do the job alone?
____hrs
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Malik purchased a pair of roller blades that were originally priced at $250 for a sale price of $180. He charged the roller blades on his credit card and made the minimum monthly payment of $20. When he received his first statement, he read that the minimum finance charge for each month that there was a balance on the card that would be $15. If Malik waited until he had the $250 cash in his hand to pay for the roller blades, how much money would he save?
Thanks
Click here to see answer by josmiceli(19441)

Question 40428: Divide.

(21y^5 – 28y^4 + 14y^3) / 7y
Thanks!
Click here to see answer by AnlytcPhil(1806)

Question 40406: Alyson opened a savings account with a deposit of $600. She withdrew $15 each day for the next 5 days and then deposited her entire paycheck from Barney's Bascules, bringing her balance to $750. Then she remembered she had promised to donate 25% of her new paycheck to charity. How much should she withdraw from her savings?
Thanks

Click here to see answer by wuwei96815(245)

Question 40398: Ryan was 8 when his parents invested $4000 in a certificateof deposite that pays 6% for investments of 3 years. If Ryan leaves the account alone until it reaches $10,000, how old will he be? ---won't he be 20???
Click here to see answer by mbarugel(146)

Question 40405: Sliced turkey cost $3.20 per pound. Roast beef cost twice as much, & ground beef cost half as much as the turkey. Find the price of 7.5 pounds of ground beef.
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A coffee shop mixes Brazilian coffee worth $5 per kilogram with Turkish coffee worth $8 per kilogram. The mixture is to sell for $7 per kilogram. How much of the Brazilian coffee should be used to make 300kg of the mixture? ____________kilograms
Thanks
Click here to see answer by josmiceli(19441)

Question 40437: simplify:
x^2(2x-5)^2+x(5-2x)^3
Possible answers:
a. x(2x-5)^2 (5-x)
b. x(2x-5)^2 (x-5)
c. -x(2x-5)^2 (5-x)
d. x(2x-5) (5-x)
Click here to see answer by josmiceli(19441)

Question 40438: Find the value of x.
(5/(x+4))-((3x-5)/(x^2+x-12))=(4/(x-3))
Possible answers
a. -13
b. -13/2
c. 13/2
d. 13
Click here to see answer by Nate(3500)

Question 40436: I need to solve 2m^2+9m+7 by factoring.
thanks for your help!
Click here to see answer by Nate(3500)

Question 40434: Divide
8x^3 - 6x^2 + 2x divided by 4x + 1
I get final answer of 1x + 1 but don't think this is correct.
Help please!
Click here to see answer by Nate(3500)

Question 40401: 8 hundred dollars is borrowed at an interest rate of 1.5% per month. Find the interest paid over the period os 5 months. --- is it $533.33??
thank u very much
Click here to see answer by Nate(3500)

Question 40397: factors for:
x^4-x^3-7x^2+x+6=0
Click here to see answer by Nate(3500)

Question 40439: Factor each polynomial completely
x^3y + 2x^2y^2 + xy^2
Is the common factor X^3 ? I am haveing a problem with figureing out the CF
Click here to see answer by stanbon(75887)

Question 40395: Divide
x^2 - 8x + 15
divided by
x + 3

Click here to see answer by Nate(3500)

Question 40435: Solve for X
X^2(2x-5)^2+x(5-2x)^3
Possible answers:
a. -13
b. -13/2
c. 13/2
d. 13
Click here to see answer by Fermat(136)

Question 40435: Solve for X
X^2(2x-5)^2+x(5-2x)^3
Possible answers:
a. -13
b. -13/2
c. 13/2
d. 13
Click here to see answer by Nate(3500)

Question 40379: Write the following expression using positive exponents and simplify when possible.
�x^-4
Click here to see answer by Nate(3500)

Question 40388: Multiply
7w(2w-3w)(2w+3)
(14w-21w)(2w+3)
-4w times 2w + 3
-8w + 3
Can someone tell me if this is correct
Click here to see answer by Nate(3500)

Question 40355: DIRECT VARIATION
the number of kg of water (W) in a human body varies directly as the total body weight(B). A person who weighs 72kg contains 54kg of water. How many kilograms of water are in a person weighing 180kg?
A person weighing 180kg has about ____kg of water in their body.
--is it 135???
thank you for your time

Click here to see answer by Nate(3500)

Question 40408: Kareem purchased a leather jacket for $800 with his new credit card. He budgeted $50 a month to pay toward the debt. When he read the fine print on the credit card statement, he saw that for each month he owed a balance, a finance charge of $17.50 would be added. How many months will it take Kareem to pay off the leather jacket?
Thanks
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One machine in a print shop can produce a certain # of pages twice as fast as another machine. Operating together these machines can produce this number of pages in 8 minutes. How long would it take the slower machine working alone to produce this number of pages?
______minutes.
Thanks

Click here to see answer by stanbon(75887)

Question 40339: 30/10+y = 20/10-y
Click here to see answer by smik(40)

Question 40363: The hypotenuse of a right triangle is 6m long. One leg is 1m longer than the other find the length of the shorter leg.
Thank you
Click here to see answer by Nate(3500)

Question 40381: Write the following expression using positive exponents and simplify when possible.
5x^-1

Click here to see answer by junior403(76)

Question 40452: I would like to know how to simplify this problem
2 9
_____ + ____
x + 4 5x + 20

the 2 is over the x + 4, and the 9 is over the 5x + 20
Click here to see answer by Nate(3500)

Question 40385: Simply.
x^4 * x^-6
Click here to see answer by junior403(76)

Question 40385: Simply.
x^4 * x^-6
Click here to see answer by Nate(3500)

Question 40382: Simplify.
(x^-2)^-3 / x^-4
Click here to see answer by Nate(3500)

Question 40334: . Solve quadratic equation by quadratic formula.

Solve: x2 + 3x + 1 = 0
a = 1, b = 3, c = 1

Click here to see answer by junior403(76)

Question 40362: 3 + ___4____
5x - 2
Click here to see answer by Nate(3500)

Question 37515: _/245 integers is? 4&5 or 17&18 15 &16 49&50
Click here to see answer by Nate(3500)

Question 40461: x+6/x+3 - 2 = 3/x+3
Click here to see answer by Nate(3500)

Question 40376: Evaluate.
7x^0
Click here to see answer by tran3209(100)

Question 40404: The Nutty Shoppe has 10 kg of mixed pecans and cashews, which sell for $ 8 per kilogram. Cashews alone sell for $8 per kilogram, and pecans sell for $9 per kilogram. How many kilograms of pecans are there in the mix?
How many kilograms of cashews are there in the mix?
Thanks
Click here to see answer by stanbon(75887)

Question 40458: _4a___
2a^3+2
_________
___8a____
4a+4
Simplify the complex fraction.
Click here to see answer by Nate(3500)

Question 40459: 1-9/x^2
________
1- 1/x - 6/x^2
Simplify the complex fraction
Click here to see answer by Nate(3500)

Question 40463: 36a^2b^3-45ab^4
Click here to see answer by Nate(3500)

Question 39647: (x/3 + 3/4)(3x/4 -3/5)
Click here to see answer by tran3209(100)

Older solutions: 1..45, 46..90, 91..135, 136..180, 181..225, 226..270, 271..315, 316..360, 361..405, 406..450, 451..495, 496..540, 541..585, 586..630, 631..675, 676..720, 721..765, 766..810, 811..855, 856..900, 901..945, 946..990, 991..1035, 1036..1080, 1081..1125, 1126..1170, 1171..1215, 1216..1260, 1261..1305, 1306..1350, 1351..1395, 1396..1440, 1441..1485, 1486..1530, 1531..1575, 1576..1620, 1621..1665, 1666..1710, 1711..1755, 1756..1800, 1801..1845, 1846..1890, 1891..1935, 1936..1980, 1981..2025, 2026..2070, 2071..2115, 2116..2160, 2161..2205, 2206..2250, 2251..2295, 2296..2340, 2341..2385, 2386..2430, 2431..2475, 2476..2520, 2521..2565, 2566..2610, 2611..2655, 2656..2700, 2701..2745, 2746..2790, 2791..2835, 2836..2880, 2881..2925, 2926..2970, 2971..3015, 3016..3060, 3061..3105, 3106..3150, 3151..3195, 3196..3240, 3241..3285, 3286..3330, 3331..3375, 3376..3420, 3421..3465, 3466..3510, 3511..3555, 3556..3600, 3601..3645, 3646..3690, 3691..3735, 3736..3780, 3781..3825, 3826..3870, 3871..3915, 3916..3960, 3961..4005, 4006..4050, 4051..4095, 4096..4140, 4141..4185, 4186..4230, 4231..4275, 4276..4320, 4321..4365, 4366..4410, 4411..4455, 4456..4500, 4501..4545, 4546..4590, 4591..4635, 4636..4680, 4681..4725, 4726..4770, 4771..4815, 4816..4860, 4861..4905, 4906..4950, 4951..4995, 4996..5040, 5041..5085, 5086..5130, 5131..5175, 5176..5220, 5221..5265, 5266..5310, 5311..5355, 5356..5400, 5401..5445, 5446..5490, 5491..5535, 5536..5580, 5581..5625, 5626..5670, 5671..5715, 5716..5760, 5761..5805, 5806..5850, 5851..5895, 5896..5940, 5941..5985, 5986..6030, 6031..6075, 6076..6120, 6121..6165, 6166..6210, 6211..6255, 6256..6300, 6301..6345, 6346..6390, 6391..6435, 6436..6480, 6481..6525, 6526..6570, 6571..6615, 6616..6660, 6661..6705, 6706..6750, 6751..6795, 6796..6840, 6841..6885, 6886..6930, 6931..6975, 6976..7020, 7021..7065, 7066..7110, 7111..7155, 7156..7200, 7201..7245, 7246..7290, 7291..7335, 7336..7380, 7381..7425, 7426..7470, 7471..7515, 7516..7560, 7561..7605, 7606..7650, 7651..7695, 7696..7740, 7741..7785, 7786..7830, 7831..7875, 7876..7920, 7921..7965, 7966..8010, 8011..8055, 8056..8100, 8101..8145, 8146..8190, 8191..8235, 8236..8280, 8281..8325, 8326..8370, 8371..8415, 8416..8460, 8461..8505, 8506..8550, 8551..8595, 8596..8640, 8641..8685, 8686..8730, 8731..8775, 8776..8820, 8821..8865, 8866..8910, 8911..8955, 8956..9000, 9001..9045, 9046..9090, 9091..9135, 9136..9180, 9181..9225, 9226..9270, 9271..9315, 9316..9360, 9361..9405, 9406..9450, 9451..9495, 9496..9540, 9541..9585, 9586..9630, 9631..9675, 9676..9720, 9721..9765, 9766..9810, 9811..9855, 9856..9900, 9901..9945, 9946..9990, 9991..10035, 10036..10080, 10081..10125, 10126..10170, 10171..10215, 10216..10260, 10261..10305, 10306..10350, 10351..10395, 10396..10440, 10441..10485, 10486..10530, 10531..10575, 10576..10620, 10621..10665, 10666..10710, 10711..10755, 10756..10800, 10801..10845, 10846..10890, 10891..10935, 10936..10980, 10981..11025, 11026..11070, 11071..11115, 11116..11160, 11161..11205, 11206..11250, 11251..11295, 11296..11340, 11341..11385, 11386..11430, 11431..11475, 11476..11520, 11521..11565, 11566..11610, 11611..11655, 11656..11700, 11701..11745, 11746..11790, 11791..11835, 11836..11880, 11881..11925, 11926..11970, 11971..12015, 12016..12060, 12061..12105, 12106..12150, 12151..12195, 12196..12240, 12241..12285, 12286..12330, 12331..12375, 12376..12420, 12421..12465, 12466..12510, 12511..12555, 12556..12600, 12601..12645, 12646..12690, 12691..12735, 12736..12780, 12781..12825, 12826..12870, 12871..12915, 12916..12960, 12961..13005, 13006..13050, 13051..13095, 13096..13140, 13141..13185, 13186..13230, 13231..13275, 13276..13320, 13321..13365, 13366..13410, 13411..13455, 13456..13500, 13501..13545, 13546..13590, 13591..13635, 13636..13680, 13681..13725, 13726..13770, 13771..13815, 13816..13860, 13861..13905, 13906..13950, 13951..13995, 13996..14040, 14041..14085, 14086..14130, 14131..14175, 14176..14220, 14221..14265, 14266..14310, 14311..14355, 14356..14400, 14401..14445, 14446..14490, 14491..14535, 14536..14580, 14581..14625, 14626..14670, 14671..14715, 14716..14760, 14761..14805, 14806..14850, 14851..14895, 14896..14940, 14941..14985, 14986..15030, 15031..15075, 15076..15120, 15121..15165, 15166..15210, 15211..15255, 15256..15300, 15301..15345, 15346..15390, 15391..15435, 15436..15480, 15481..15525, 15526..15570, 15571..15615, 15616..15660, 15661..15705, 15706..15750, 15751..15795, 15796..15840, 15841..15885, 15886..15930, 15931..15975, 15976..16020, 16021..16065, 16066..16110, 16111..16155, 16156..16200, 16201..16245, 16246..16290, 16291..16335, 16336..16380, 16381..16425, 16426..16470, 16471..16515, 16516..16560, 16561..16605, 16606..16650, 16651..16695, 16696..16740, 16741..16785, 16786..16830, 16831..16875, 16876..16920, 16921..16965, 16966..17010, 17011..17055, 17056..17100, 17101..17145, 17146..17190, 17191..17235, 17236..17280, 17281..17325, 17326..17370, 17371..17415, 17416..17460, 17461..17505, 17506..17550, 17551..17595, 17596..17640, 17641..17685, 17686..17730, 17731..17775, 17776..17820, 17821..17865, 17866..17910, 17911..17955, 17956..18000, 18001..18045, 18046..18090, 18091..18135, 18136..18180, 18181..18225, 18226..18270, 18271..18315, 18316..18360, 18361..18405, 18406..18450, 18451..18495, 18496..18540, 18541..18585, 18586..18630, 18631..18675, 18676..18720, 18721..18765, 18766..18810, 18811..18855, 18856..18900, 18901..18945, 18946..18990, 18991..19035, 19036..19080, 19081..19125, 19126..19170, 19171..19215, 19216..19260, 19261..19305, 19306..19350, 19351..19395, 19396..19440, 19441..19485, 19486..19530, 19531..19575, 19576..19620, 19621..19665, 19666..19710, 19711..19755, 19756..19800, 19801..19845, 19846..19890, 19891..19935, 19936..19980, 19981..20025, 20026..20070, 20071..20115, 20116..20160, 20161..20205, 20206..20250, 20251..20295, 20296..20340, 20341..20385, 20386..20430, 20431..20475, 20476..20520, 20521..20565, 20566..20610, 20611..20655, 20656..20700, 20701..20745, 20746..20790, 20791..20835, 20836..20880, 20881..20925, 20926..20970, 20971..21015, 21016..21060, 21061..21105, 21106..21150, 21151..21195, 21196..21240, 21241..21285, 21286..21330, 21331..21375, 21376..21420, 21421..21465, 21466..21510, 21511..21555, 21556..21600, 21601..21645, 21646..21690, 21691..21735, 21736..21780, 21781..21825, 21826..21870, 21871..21915, 21916..21960, 21961..22005, 22006..22050, 22051..22095, 22096..22140, 22141..22185, 22186..22230, 22231..22275, 22276..22320, 22321..22365, 22366..22410, 22411..22455, 22456..22500, 22501..22545, 22546..22590, 22591..22635, 22636..22680, 22681..22725, 22726..22770, 22771..22815, 22816..22860, 22861..22905, 22906..22950, 22951..22995, 22996..23040, 23041..23085, 23086..23130, 23131..23175, 23176..23220, 23221..23265, 23266..23310, 23311..23355, 23356..23400, 23401..23445, 23446..23490, 23491..23535, 23536..23580, 23581..23625, 23626..23670, 23671..23715, 23716..23760, 23761..23805, 23806..23850, 23851..23895, 23896..23940, 23941..23985, 23986..24030, 24031..24075, 24076..24120, 24121..24165, 24166..24210, 24211..24255, 24256..24300, 24301..24345, 24346..24390, 24391..24435, 24436..24480, 24481..24525, 24526..24570, 24571..24615, 24616..24660, 24661..24705, 24706..24750, 24751..24795, 24796..24840, 24841..24885, 24886..24930, 24931..24975, 24976..25020, 25021..25065, 25066..25110, 25111..25155, 25156..25200, 25201..25245, 25246..25290, 25291..25335, 25336..25380, 25381..25425, 25426..25470, 25471..25515, 25516..25560, 25561..25605, 25606..25650, 25651..25695, 25696..25740, 25741..25785, 25786..25830, 25831..25875, 25876..25920, 25921..25965, 25966..26010, 26011..26055, 26056..26100, 26101..26145, 26146..26190, 26191..26235, 26236..26280, 26281..26325, 26326..26370, 26371..26415, 26416..26460, 26461..26505, 26506..26550, 26551..26595, 26596..26640, 26641..26685, 26686..26730, 26731..26775, 26776..26820, 26821..26865, 26866..26910, 26911..26955, 26956..27000, 27001..27045, 27046..27090, 27091..27135, 27136..27180, 27181..27225, 27226..27270, 27271..27315, 27316..27360, 27361..27405, 27406..27450, 27451..27495, 27496..27540, 27541..27585, 27586..27630, 27631..27675, 27676..27720, 27721..27765, 27766..27810, 27811..27855, 27856..27900, 27901..27945, 27946..27990, 27991..28035, 28036..28080, 28081..28125, 28126..28170, 28171..28215, 28216..28260, 28261..28305, 28306..28350, 28351..28395, 28396..28440, 28441..28485, 28486..28530, 28531..28575, 28576..28620, 28621..28665, 28666..28710, 28711..28755, 28756..28800, 28801..28845, 28846..28890, 28891..28935, 28936..28980, 28981..29025, 29026..29070, 29071..29115, 29116..29160, 29161..29205, 29206..29250, 29251..29295, 29296..29340, 29341..29385, 29386..29430, 29431..29475, 29476..29520, 29521..29565, 29566..29610, 29611..29655, 29656..29700, 29701..29745, 29746..29790, 29791..29835, 29836..29880, 29881..29925, 29926..29970, 29971..30015, 30016..30060, 30061..30105, 30106..30150, 30151..30195, 30196..30240, 30241..30285, 30286..30330, 30331..30375, 30376..30420, 30421..30465, 30466..30510, 30511..30555, 30556..30600, 30601..30645, 30646..30690, 30691..30735, 30736..30780, 30781..30825, 30826..30870, 30871..30915, 30916..30960, 30961..31005, 31006..31050, 31051..31095, 31096..31140, 31141..31185, 31186..31230, 31231..31275, 31276..31320, 31321..31365, 31366..31410, 31411..31455, 31456..31500, 31501..31545, 31546..31590, 31591..31635, 31636..31680, 31681..31725, 31726..31770, 31771..31815, 31816..31860, 31861..31905, 31906..31950, 31951..31995, 31996..32040, 32041..32085, 32086..32130, 32131..32175, 32176..32220, 32221..32265, 32266..32310, 32311..32355, 32356..32400, 32401..32445, 32446..32490, 32491..32535, 32536..32580, 32581..32625, 32626..32670, 32671..32715, 32716..32760, 32761..32805, 32806..32850, 32851..32895, 32896..32940, 32941..32985, 32986..33030, 33031..33075, 33076..33120, 33121..33165, 33166..33210, 33211..33255, 33256..33300, 33301..33345, 33346..33390, 33391..33435, 33436..33480, 33481..33525, 33526..33570, 33571..33615, 33616..33660, 33661..33705, 33706..33750, 33751..33795, 33796..33840, 33841..33885, 33886..33930, 33931..33975, 33976..34020, 34021..34065, 34066..34110, 34111..34155, 34156..34200, 34201..34245, 34246..34290, 34291..34335, 34336..34380, 34381..34425, 34426..34470, 34471..34515, 34516..34560, 34561..34605, 34606..34650, 34651..34695, 34696..34740, 34741..34785, 34786..34830, 34831..34875, 34876..34920, 34921..34965, 34966..35010, 35011..35055, 35056..35100, 35101..35145, 35146..35190, 35191..35235, 35236..35280, 35281..35325, 35326..35370, 35371..35415, 35416..35460, 35461..35505, 35506..35550, 35551..35595, 35596..35640, 35641..35685, 35686..35730, 35731..35775, 35776..35820, 35821..35865, 35866..35910, 35911..35955, 35956..36000, 36001..36045, 36046..36090, 36091..36135, 36136..36180, 36181..36225, 36226..36270, 36271..36315, 36316..36360, 36361..36405, 36406..36450, 36451..36495, 36496..36540, 36541..36585, 36586..36630, 36631..36675, 36676..36720, 36721..36765, 36766..36810, 36811..36855, 36856..36900, 36901..36945, 36946..36990, 36991..37035, 37036..37080, 37081..37125, 37126..37170, 37171..37215, 37216..37260, 37261..37305, 37306..37350, 37351..37395, 37396..37440, 37441..37485, 37486..37530, 37531..37575, 37576..37620, 37621..37665, 37666..37710, 37711..37755, 37756..37800, 37801..37845, 37846..37890, 37891..37935, 37936..37980, 37981..38025, 38026..38070, 38071..38115, 38116..38160, 38161..38205, 38206..38250, 38251..38295, 38296..38340, 38341..38385, 38386..38430, 38431..38475, 38476..38520, 38521..38565, 38566..38610, 38611..38655, 38656..38700, 38701..38745, 38746..38790, 38791..38835, 38836..38880, 38881..38925, 38926..38970, 38971..39015, 39016..39060, 39061..39105