Questions on Algebra: Equations answered by real tutors!

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Question 570094: The distance from Cleveland to Pittsburgh is about 2/5 of the distance from Cleveland to Chicago. About how far is Cleveland from Chicago? (It is 120 miles from Cleveland to Pittsburgh.) How do I set up an equation for this problem?
Click here to see answer by rfer(16322)

Question 570087: how do you solve 3x-6=x
Click here to see answer by rfer(16322)

Question 570116: -10(x)+6-4x=-4x+8
I keep getting -1/5 but when I try to check it that does not equal out. Not sure if I am checking it wrong or doing it wrong! Thanks
Click here to see answer by Maths68(1474)

Question 570382: the sum of the measure of two complementary angles is 90. if on angle measures 15 more than twice the measure of the complement, find the measure of each angle.
Click here to see answer by solver91311(24713)

Question 570432: Is 3 ft equal to 30 in?
Click here to see answer by Alan3354(69443)

Question 570721: For what values of K does the equation have equal solutions? 2x^2-Kx+8=0
Click here to see answer by josmiceli(19441)

Question 570727: How do I write this as an equation?
A student took a test composed of 20 questions, with correct answers worth 3 points. If the student received 48 points for his grade, how many questions were correct? My answer is 16 because 16*3=48
Click here to see answer by mananth(16946)

Question 570744: Chuck and Dana agree to meet in Chicago for the weekend. Chuck travels 147 miles in the same time that Dana travels 129 miles. If Chuck's rate of travel is 6 mph more that Dana's, and they travel the same length of time, at what speed does chuck travel?
Click here to see answer by mananth(16946)

Question 570823: 1/x-8/21=3/7x
Click here to see answer by mananth(16946)

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(13342)

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(19441)

Question 570957: b+8
_____=7
3
Click here to see answer by JBarnum(2146)

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(75887)

Question 571402: .75x+.5>2
the least complicated way to solve this
Click here to see answer by stanbon(75887)

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(75887)

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(10552)

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(24713)

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(75887)

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(16946)

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(11628)

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(13342)

Question 572078: solve and steps
3x+4y=5 and 2x+y=1
Click here to see answer by nyc_function(2741)

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(35256)

Question 571582: is (1,-2) is solution of 2x-y=3
Click here to see answer by jim_thompson5910(35256)

Question 571481: 9*x^2+25*y^2=225
Solve for y in terms of x.
Click here to see answer by jim_thompson5910(35256)

Question 571319: x^2-2x+5x-(-x^2+7x)
Click here to see answer by jim_thompson5910(35256)

Question 571184: (-3,1) and (2,-2)
Click here to see answer by jim_thompson5910(35256)

Question 571102: m=A-5(x-n), for n
Click here to see answer by jim_thompson5910(35256)

Question 570456: 2a+3b+9c+7a-b-11c
Click here to see answer by jim_thompson5910(35256)

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(1539)

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(7384)

Question 572307: -6x-32=2x
Click here to see answer by jim_thompson5910(35256)

Question 572867: -n/3<-3
Click here to see answer by stanbon(75887)

Question 572865: 4n^2-2n-90=0
solve the equation!
Click here to see answer by stanbon(75887)

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(24713)

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(69443)

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(75887)

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)

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, 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, 39106..39150, 39151..39195, 39196..39240, 39241..39285, 39286..39330, 39331..39375, 39376..39420, 39421..39465, 39466..39510, 39511..39555, 39556..39600, 39601..39645, 39646..39690, 39691..39735, 39736..39780, 39781..39825, 39826..39870, 39871..39915, 39916..39960, 39961..40005, 40006..40050, 40051..40095, 40096..40140, 40141..40185, 40186..40230, 40231..40275, 40276..40320, 40321..40365, 40366..40410, 40411..40455, 40456..40500, 40501..40545, 40546..40590, 40591..40635, 40636..40680, 40681..40725, 40726..40770, 40771..40815, 40816..40860, 40861..40905, 40906..40950, 40951..40995, 40996..41040, 41041..41085, 41086..41130, 41131..41175, 41176..41220, 41221..41265, 41266..41310, 41311..41355, 41356..41400, 41401..41445, 41446..41490, 41491..41535, 41536..41580