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

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Question 39983: It took Canoe A 1.5hrs to travel from Duck Wharf to Buglers Bay. Its rate in still water was 12km/hr but it was going with the current. Canoe B was traveling at 14 km /hr in still water but it was going from Burglers Bay to Duck Wharf and the current was going against it. It took Canoe B 5 hrs to make the trip. What was the rate of the current?
thanx
Click here to see answer by Paul(988)

Question 39981: To get to his parents house John must travel at a speed of 60m/hr on land then use a motor boat whos speed is 20 mi/hr in still water. John goes by land to a dock and then travels on a river against a current of 4 mi/hr. He reaches his parents home in 4.5 hrs. The return trip takes him 3.5 hrs. How far does his parents live from his house?
thanx
Click here to see answer by Paul(988)

Question 39978: Raul found that by increasing his speed by 5 km/hr, he could drive 12km in 0.2 hrs. What was his original speed?
____kilometers per hour
thanx
Click here to see answer by Paul(988)

Question 40003: Greta has 45 minutes before her Job interview. She is 15 miles away from the interview. How fast must she drive to be on time?
thanx
Click here to see answer by stanbon(57962)

Question 40004: The square of 9 more than a number is equal to 9 more than the square of the number. What is the number?
thanx
Click here to see answer by fractalier(2101)

Question 39924: Four times the square of a number is 16. find the number.

thank you
Click here to see answer by fractalier(2101)

Question 39745: (4x-2 / x²-5x) / (2x²+9x-5 / x²-25)

Click here to see answer by hackercracker(2)

Question 40017: The sum of the digits of a two digit number is 9. if the digits were reversed the new number would be 9 more than the original number. find the original number.
Click here to see answer by Jaime(3)

Question 40016: The sum of the digets of a two digit number is 10. if the digets were reversed, the new number would be 54 less than the original number. find the original number.
thanx
Click here to see answer by longjonsilver(2297)

Question 40013: If a number is subtracted from its square, the result is 2. Find the number.
The length of a rectangle is 4 cm longer than the width. If the perimeter of the rectangle is 20 cm what is the area? Area=___cm^2
thanx
Click here to see answer by longjonsilver(2297)

Question 40014: The 4 children were born 1 yr apart. the oldest is 12. how old are the other 3 children from oldest to youngest?
thanx
Click here to see answer by longjonsilver(2297)

Question 40011: Markita bought a roll of carpeting 8.5 ft wide. The maximum area the carpet will cover is at most 136sq ft. What is the largest possible length of the carpet?
thanx
Click here to see answer by longjonsilver(2297)

Question 40005: Find 4 consecutive odd integers if the product of the two smaller integers is 112 less than the product of the two larger integers.
thanx
Click here to see answer by longjonsilver(2297)

Question 40012: Tony had 13 bills in his wallet. They were all 5’s or 10’s. The total amount of money in his wallet was $90. How many 5’s in his wallet?

heres another ? thanxs soooooo much!!!!!!!!!!!!!!!!!
There were 200 tickets sold at the school play. Tickets were $2 for students and $3 for adults. The total amount collected was $490. How many tickets were sold?
thanx
Click here to see answer by stanbon(57962)

Question 40002: A boat can travel from its dock to a town down river with a 7 mile per hour current in 10 hours. The return trip against the same current takes 15 hours. What is the speed of the boat still in the water?
____ miles per hour
thanx
Click here to see answer by stanbon(57962)

Question 40015: A jar of dimes and quarters contains $15.25. There are 103 coins in all. How many quarters in the jar?
thanx
Click here to see answer by AnlytcPhil(1278)

Question 40000: A train left Shawnee traveling due west at 90 miles per hour. A car left Shawnee at the same time traveling due east at 60 miles per hour. How long will it take before the train and car are 405 miles apart? Put in nearest tenth of an hour.
thanx
Click here to see answer by fractalier(2101)

Question 39928: Sean earns $4.50 per hour more than his trainee, Tyrone. During one 8 hour day they earn a total of $284. How much does Sean make per hour?
Thank you
Click here to see answer by fractalier(2101)

Question 39923: If a number is added to its square the result is 56. find the number.

thank you
Click here to see answer by fractalier(2101)

Question 40010: A jar of dimes and quarters contained $10.95 There were at 93 coins in the jar. How many dimes?
thanx
Click here to see answer by fractalier(2101)

Question 39961: During an election campaign a candidate gave away 5000 little advertisements. The pens she gave away cost $.23 cents each and the little bumper stickers cost $.14 cents each. He spent a total of $970.00. How many pens did he give away?

thanx
Click here to see answer by fractalier(2101)

Question 39908: Use the ac test to determine if the following trinomial can be factored. Find the values of m and n if the trinomial can be factored.

x^2 - 3x + 7
Click here to see answer by venugopalramana(3286)

Question 39960: Mrs. Perrin spent twice as much money on sheet music as she did on CD’s. The total amount of money she spent for Sheet music and CDS was 1/3 of her monthly music budget of $189. How much did she spend on CDS?

thanx
Click here to see answer by fractalier(2101)

Question 40074: Find the greatest common factor for the following term:
12a^3b^2, 18a^2b^3, 6a^4b^4
Click here to see answer by stanbon(57962)

Question 39015: Subtract and simplify:
2/x^2 + 6x - 27 minus 1/x^2 + 12x + 27
Click here to see answer by fractalier(2101)

Question 39865: Multiply using the vertical method.
(a^2 + 3ab - b^2) (a^2 - 5ab + b^2)
Click here to see answer by fractalier(2101)

Question 38795: Please help me with this problem, if i do not get this problem right i will fail and have to repeat my senior year at my school 6x+18/x^2-9 divided by x+3/x-3 mutilplied by x+3/6 = ?

sincerely:: failure in math
Click here to see answer by fractalier(2101)

Question 40086: If there are 6 x 10^9 people on the Earth and there is enough freshwater to provide each person with 8.79 x 10^5L, how much freshwater is on the Earth?
Click here to see answer by fractalier(2101)

Question 40090: A triangle has sides 3x + 7, 4x - 9 and 5x + 6. Find the polynomial that represents its perimeter.
Click here to see answer by fractalier(2101)

Question 40088: Add the following
(5b^3 - 8b + 2b^2) + (3b^2 - 7b^3 + 5b)
Click here to see answer by fractalier(2101)

Question 40001: An airplane flew for 4.23 hrs with a 25.5 km/hr tail wind. The return flight against the same wind took 4.97 hours. Find the speed of the plane still in the air. Find to the nearest km/hr.
thanx
Click here to see answer by Paul(988)

Question 40084: The cost in dollars of manufacturing w wing nuts is given by the expression 0.07w + 13.3. Find the cost when 375 wing nuts are made. What is the average cost to manufacture one wing nut?
Click here to see answer by fractalier(2101)

Question 39934: David helped his father stock the pond with fish. They put in baby catfish and bluegill. They put in a total of 75 fish. If the # of bluegill was doubled & the number of catfish was trippled there would be 175 fish in the pond. how many catfish were put in the pond?
Thank you
Click here to see answer by fractalier(2101)

Question 40103: Let x represent the number and then write an expression for the product.
The square of 5 more than a number

Is this correct?
x + 5^2
Click here to see answer by fractalier(2101)

Question 40104: A square has sides of length 3x - 2cm. Express the area of the square as a polynomial.
Click here to see answer by fractalier(2101)

Question 40105: Divide
x^2 - 2x - 35 divided by x + 5

Click here to see answer by Nate(3500)

Question 40083: find the values of the following polynomials for the given values of the variable.
-x^2 - 5x - 6
when x = -3
Click here to see answer by Nate(3500)

Question 40111: Find the values of the polynomials for the given value of the variable
-x^2 - 5x - 6
when x = -2
I get confused when substituting -2 for the first value when it is a negative x^2
Click here to see answer by Nate(3500)

Question 40085: Write the result in scientific notation

(6 x 10^2)(3.2 x 10^8)
divided by
(1.6 x 10^7)(3 x 10^2)
Click here to see answer by Nate(3500)

Question 39985: Divide:

12x^2-18x
divided by
6x^3-24x^2
Click here to see answer by Nate(3500)

Question 40097: Find values of a and k for a parabola containing the points given:
y-k = a(x+3)^2
(-5,1)and (1,7)
I've been working on this problem for a while, but I could use a little help. Thanks (:
Click here to see answer by longjonsilver(2297)

Question 40158: Johns salary is $1250 a month plus a 5% commision on all of his sales. What must the amount of his sales be to earn at least $1500 each month?
His sales must be at least $________ per month.
thanx.
Click here to see answer by checkley71(8403)

Question 40161: Two people walking past each other. They continue in opposite directions. The 1st person is walking at 6mph and the other one is speed walking at 10mph. How much must they walk to be at least 2 miles apart?
_______minutes (in decimal form)
thanx.
Click here to see answer by Nate(3500)

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, 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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