Questions on Algebra: Equations answered by real tutors!

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Question 570823: 1/x-8/21=3/7x
Click here to see answer by mananth(12270)

Question 570826: solve the following:
1. 6x4-11x3-35x2+34x+24
2. log(7x+2)-log(x-1)=1
Click here to see answer by Theo(3504)

Question 570920: How do I find an equation of the line containging the given pair of points. (-2,-3) and (-7,-9)
Click here to see answer by josmiceli(9817)

Question 570957: b+8
_____=7
3
Click here to see answer by JBarnum(2044)

Question 571390: if an iguana is 4.5 feet long,and his tail is two-thirds his body length, how long is his tail.
Click here to see answer by stanbon(57953)

Question 571402: .75x+.5>2
the least complicated way to solve this
Click here to see answer by stanbon(57953)

Question 571549: Find four consecutive integers such that twice the first subtracted from the sum of the other three integers equals 16.
Click here to see answer by stanbon(57953)

Question 571549: Find four consecutive integers such that twice the first subtracted from the sum of the other three integers equals 16.
Click here to see answer by MathTherapy(1480)

Question 571767: what is the answer to
1/3(m-2)=7/6(m+5)-5/3m
one third(m-2)=seven sixths(m+5)-five thirds m
and

1/5(m-5)=7/10(m+3)-4/5m
one fifth (m-5)=seven tenths (m+3)-four fifths m
Click here to see answer by solver91311(17070)

Question 571841: If a quotient of a number and 15 is added to 1/5, the results is 14/15. Find the number.
Click here to see answer by stanbon(57953)

Question 571844: y + 6 = 3y - 10
-y -y
---------------
6 = 2y -10
+10 +10
---------------
16 = 2y
-------
2 2
y= 8
but i needa do a check on this?
Click here to see answer by mananth(12270)

Question 571881: 5/z-4/z+2=1/6
Click here to see answer by Maths68(1474)

Question 571880: 1/x+6/x+4=1
Click here to see answer by Maths68(1474)

Question 571879: 1-3/x=10/x^2
Click here to see answer by Maths68(1474)

Question 571877: 2+9/x=5/x^2
Click here to see answer by Maths68(1474)

Question 571956: Tom reads at an average rate of 30 pages per hour, while Jan reads at an average rate of 40 pages per hour. If Tom starts reading a novel at 4:30 and Jan begins reading an identical copy of the same book at 5:20, at what time will they be reading the same page?
Click here to see answer by lwsshak3(6751)

Question 572051: 10.81=(10•x)+(12•y)
Solve.for x and solve for y
Thanks for your time
Click here to see answer by Theo(3504)

Question 572078: solve and steps
3x+4y=5 and 2x+y=1
Click here to see answer by nyc_function(2733)

Question 572066: If 2 times a certain number is 4 less than the number, what is the number?
Click here to see answer by septimus99(4)

Question 572001: 7x+3=10x-15
Click here to see answer by jim_thompson5910(28699)

Question 571582: is (1,-2) is solution of 2x-y=3
Click here to see answer by jim_thompson5910(28699)

Question 571481: 9*x^2+25*y^2=225
Solve for y in terms of x.
Click here to see answer by jim_thompson5910(28699)

Question 571319: x^2-2x+5x-(-x^2+7x)
Click here to see answer by jim_thompson5910(28699)

Question 571184: (-3,1) and (2,-2)
Click here to see answer by jim_thompson5910(28699)

Question 571102: m=A-5(x-n), for n
Click here to see answer by jim_thompson5910(28699)

Question 570456: 2a+3b+9c+7a-b-11c
Click here to see answer by jim_thompson5910(28699)

Question 572284: trying to help son with math homework, please help.
45 divided by 9=___ divided by 8
12 divided by ____=15 divided by 5
Click here to see answer by Tatiana_Stebko(1326)

Question 572284: trying to help son with math homework, please help.
45 divided by 9=___ divided by 8
12 divided by ____=15 divided by 5
Click here to see answer by scott8148(6628)

Question 572293: write the equation 5x-y=6 so that x is a function of y

Click here to see answer by nerdybill(7003)

Question 572307: -6x-32=2x
Click here to see answer by jim_thompson5910(28699)

Question 572867: -n/3<-3
Click here to see answer by stanbon(57953)

Question 572865: 4n^2-2n-90=0
solve the equation!
Click here to see answer by stanbon(57953)

Question 572876: 0. Tell your classmates about your pet to set up the scenario for fencing a rectangle in your yard.
1. You MUST start by choosing an amount of area that you want to fence in for your pet and this MUST be stated first. What amount of area are you enclosing with a fence for your pet? (A = 1000 sq. ft or A = 200 sq. yards or A = 500 sq. meters or...)
2. Next, you MUST choose a relationship between the length and the width of the rectangle (e.g., L = 2W - 3 or W = L - 10 or L = W + 20 or ...)
3. Next, you MUST create a quadratic equation from the choices you made in 1 and 2 above. For example, if area was chosen to be A = 1000 sq. ft. and L = W + 20, then A = L*W = (W + 20)*W = W^2 + 20*W, so 1000 = W^2 + 20*W, and that is a quadratic equation.
NOTE: I could also write a quadratic equation here in terms of L as: since L = W + 20, then W = L - 20, so A = L*W = L*(L - 20) = L^2 - 20*L, and then replacing A by 1000, the quadratic equation will be, 1000 = L^2 - 20*L. Either way will give exactly the same length and width for the rectangular fenced-in area.
4. Next, using either factoring or the quadratic formula you MUST SOLVE this quadratic equation for W (or L if your quadratic equation is in terms of L).
5. Next, you MUST solve for the other side's dimension using L = W + 20. If the quadratic equation is in terms of W, then replace W by the solution to the quadratic equation; if the quadratic equation is in terms of L, then replace L in L = W + 20 and solve for W.
6. Next, you MUST show the calculations for the perimeter, P = 2*L + 2*W.
7. Finally, you MUST summarize the meanings of your calculations in the context of your stated pet scenario.

Click here to see answer by solver91311(17070)

Question 572895: Could someone please help me with this problem? I have to correct it on my homework and keep coming up with 70 which the teacher marked wrong.
-4^2 + 3^3[-2(3-2^2)]
Click here to see answer by Alan3354(31505)

Question 573046: For the following equation, state the value of the discriminant and then describe the nature of the solutions.
16x^2-7x+4=0
What is the value of the discriminant___________?
Which one of the statements below is correct?
a. The equation has two imaginary solutions.
b. The equation has two real solutions.
c. The equation has one real solution?
Thanks for your help!

Click here to see answer by stanbon(57953)

Question 573090: (1-x)(28)=(x)(98)
Click here to see answer by mathsmiles(68)

Question 573051: -6 - [-7 + (2 - 3)]

Click here to see answer by mathsmiles(68)

Question 572814: a golf tournament gave $270000 in prizes. the winner recieved 1/2. the runner up got 1/4. the remainder was divided equally between the third-, fourth, and fifthe -place finishers. how much did the fifth place finisher recieve?
Click here to see answer by mathsmiles(68)

Question 572640: translate to an eqation, and show work: SEVEN TIMES WHAT NUMBER IS 201?
Click here to see answer by mathsmiles(68)

Question 573089: How long does it take to get hot water to a 1.5 gpm faucet if there is 13 ft of 3/4" copper pipe and 8 ft of 1/2" copper pipe to the faucet? The time for it to reach full temperature due to pipe temperature is not an issue at this point.
Click here to see answer by Alan3354(31505)

Question 572140: 14/(x+4)=5-x
Click here to see answer by mathsmiles(68)

Question 573019: find a number such that the sum of seven times the number and five times the number is 84.
Click here to see answer by mathsmiles(68)

Question 571856: Find four consecutive even integers such that 4 times the sum of the first and fourth is 8 greater than 12 times the third. I have no idea how to do this problem. Someone explain it to me please?
Click here to see answer by mathsmiles(68)

Question 573194: how do you solve this, but explain in a fraction form
x/2-1=x/5+2
Click here to see answer by vleith(2825)

Question 573193: (2(1/2)-1)(5(1/2)-3)=0
1-1=0 5/2-3
on the calculater it states 5/2-3=1/2 i just cannot figure out how??? please help i am always stuck on these equations...ty
Click here to see answer by vleith(2825)

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