Questions on Algebra: Equations answered by real tutors!

Tutors Answer Your Questions about Equations (FREE)

Question 316922: Solve the following systems of equations:
4p-6Q+7r = -7
2p+3Q-5r =7
8p-2r=6
Click here to see answer by Fombitz(32388)

Question 316833: an algebraic equation for the following: The difference between the number a and three times b is equal to twelve.
Click here to see answer by Fombitz(32388)

Question 316873: Please help me with this question. Write the quadratic function in the form
y=a(x-h) square + k and identify the vertex.
y= x square - 10x + 18
Click here to see answer by tinbar(133)

Question 316900: Solve.
The diagonal of a rectangle box is 12 inches long. One side of the box is 8 inches long. What is the length of the other side?
Click here to see answer by JBarnum(2146)

Question 317002: Find the following. Assume that variables can represent any real number.
sqrt(a+7)^2
Click here to see answer by jim_thompson5910(35256)

Question 317021: Hi all,
I have a prolem involving converting powers within an Equation:
As a result of a volcanic eruption, ash began to fall at a rate of:
(12 Kg) / (m^2 year)
Transform this quantity into: (g) / (mm^2 month)
Any help with steps and full working would be great.
Thanks, -Nick.
Click here to see answer by mananth(16946)

Question 317023: Garden Area Problem. A designer created a garden
from two concentric circles whose equations are as follows:
(x+2)small 2 +(4-6) small 2 =16 and (x + 2) small 2 +(y -6) small 2 =81
(I hope yu can understand this)
Thanks
Click here to see answer by Alan3354(69443)

Question 317046: i am trying to learn how to raise binomials to the 5th power. Here is the problem: (z-1)^5.
i cant figure out how to get the formula. the book says that the co-efficients of this problem will come out to 1 5 10 10 1. with giving me those numbers i still dont know how to put them all together and come up with a formula to begin working the problem. when the book gives me the formula : a^5+5a^4b+10a^3b^2+10a^2b^3+5ab^4+b^5 , i can plug the equations in, but if i am taking a test i wouldnt know where to begin to get the formula. Please help.
Click here to see answer by stanbon(75887)

Question 317028: Hi all,
Was hoping someone would help me solve for the co-efficient in the following:

Population of rabbits on an isolated island exponentially increased because of the absence of predators.
N(t) = N0e^kt (The 0 is a lower case zero)
The initial population at t=0 was 10 and at t=1/2 the population reached 100.Determine the co-efficient k. Do not convert answer to decimal points.
Thanks,
-Nick.
Click here to see answer by scott8148(6628)

Question 317031: The graph of y= -4x + 5 is shown on the next page. Check your work.
The value of x when y = -3
Not sure what the question is asking??
Click here to see answer by nyc_function(2741)

Question 317050: Give the solutions to the following quadratic equation by
examining the graph of the related quadratic function:
Graph: y = x2 + 2x -15.
Equation: x2 + 2x - 15 = 0
Click here to see answer by Fombitz(32388)

Question 317098: Using the principle of zero products how would you solve the following problems:1. (9b+5)(4b-12)=0; 2.b^2+8b+12=0. I have been trying and can not seem to get the correct answer. Can you help?
Click here to see answer by jim_thompson5910(35256)

Question 317097: I am having trouble figuring out how to factor the three problems listed below:1. x^2+2x-2x-4;2.v^2+9v+14;3. r^2-2r-48. I have been working on them for about 1 1/2 hours at this time and just can not seem to get any where can you help?
Click here to see answer by jim_thompson5910(35256)

Question 317100: The product of page numbers on two facing pages of a book is 182. How would you find the page numbers? I have tried and cannot figure out how to do this.Can you show me how?
Click here to see answer by jim_thompson5910(35256)

Question 317227: John bought a .60 donut and .35 cup of coffee. How much did John leave for a tip and taxes if he spent 1.25? Assign a variable and write an equation for the situation then solve.
Click here to see answer by JBarnum(2146)

Question 317249: Solve.
Dana drove her car from her house to her school. She went 7 miles due west and 3 miles due south. How far is Dana's house from the school?
Click here to see answer by JBarnum(2146)

Question 317247: Solve.
A pool table is 95 inches long and 51 inches wide. What is the length of the diagonal of the pool table?
Click here to see answer by Jstrasner(112)

Question 317247: Solve.
A pool table is 95 inches long and 51 inches wide. What is the length of the diagonal of the pool table?
Click here to see answer by JBarnum(2146)

Question 317246: Solve.
A high school basketball court is 84 feet long and 50 feet wide. What is the diagonal length of the court?
Click here to see answer by Jstrasner(112)

Question 317243: Solve.
Find the length of the diagonal of a rectangle shaped book that has a length of 6 inches and width of 5 inches.
Click here to see answer by Jstrasner(112)

Question 317245: Solve.
Selma is flying a kite. She lets out 80 feet of string. Her brother moves to a point where he is standing directly under the kite. He measures this distance to be 30 feet. How high is the kite?
Click here to see answer by JBarnum(2146)

Question 317272: Divide and simplify
5x-10/33 divided by x-2/6x
Click here to see answer by Fombitz(32388)

Question 317306: (x-2)(x-3)
PLEASE SHOW ALL STEPS
THANK YOU.
Click here to see answer by jim_thompson5910(35256)

Question 317310: find the value of a in this proportion (a+1)/4=2/3
Click here to see answer by jim_thompson5910(35256)

Question 317326: Please Translate the following into algebraic equation, the sum of a number and 2 is 12.
Click here to see answer by Alan3354(69443)

Question 317166: Bill had x dollars and he bought y apples for 16 cents each and z pears for 12 cents each. How many cents did he have left?
Click here to see answer by ankor@dixie-net.com(22740)

Question 317335: the perimeter of a triangle is 110 cm one side is twice the second side the third side is 30 cm more than the second side find the length of both side find the length of each side

Click here to see answer by mananth(16946)

Question 317338: in a traingle one angle is twice the measure of the second angle the third angle is three times the measure of the second angle .find the measure of each angle
Click here to see answer by checkley77(12844)

Question 317336: in an isoscele triangle one angle is three times the measure of one of the equal angles, find the measureof each angle
Click here to see answer by stanbon(75887)

Question 317337: the perimeter of a rectangle is 42 meters the lengh of the rectangle is 3 meters less than twice the width ,find the length and width of the rectangle
Click here to see answer by checkley77(12844)

Question 317341: x+6=-3
Click here to see answer by jim_thompson5910(35256)

Question 317395: Solve for the variable. Noninteger answers may be left in fractional or decimal form.
5/6y + 4/9 = 1/6y - 2/5
I can not solve it! can you should me how to work it out?
Click here to see answer by jim_thompson5910(35256)

Question 317458: Could you show me how to factor by grouping? I have two problems I have been working on but do not understand how to get the final answers to the problems;1.21u^2-40u-21;2.5c^2+18c-35
Click here to see answer by JBarnum(2146)

Question 317459: I have been working on this and can't seem to get the answer can you help? A rectangular table is four times as long as it is wide. The area of the table is 100ft^2. I can only get so far with it and keep getting the answer wrong. Can you show me how to do it so I can see where I am messing up.
Click here to see answer by Fombitz(32388)

Question 317455: I am having trouble factoring trinomials. Can you help me with the following problems:1. 2a^2-a-15;2.30c^2+19c-63:3.20c^2-13c-15;5c^2+18c-35. I have been working on them for two days and can not get them factored out completely, I get so far and still get the wrong answers.
Click here to see answer by JBarnum(2146)

Question 317497: Solve each system by addition.
x + y = 7
x � y = 9

Click here to see answer by JBarnum(2146)

Question 317510: Find the vertex, the line of symmetry of x is.
f(x) = 1/2 (x+8)^2 + 2
Click here to see answer by Fombitz(32388)

Question 317504: Solve.
x^2 + 18 - 4 = 0
Click here to see answer by Fombitz(32388)

Question 317502: Find the x-coordinate of the vertex, the y-coordinate of the vertex.
f(x) = -2x^2 + 2x + 3
Click here to see answer by nyc_function(2741)

Question 317502: Find the x-coordinate of the vertex, the y-coordinate of the vertex.
f(x) = -2x^2 + 2x + 3
Click here to see answer by nerdybill(7384)

Question 317527: Simplify. Use only positive exponents in your answer.
4z^7u^9 x 3y^-1z^-5 x 4u^-9y
Click here to see answer by Fombitz(32388)

Question 317525: (w^3)^-7
Click here to see answer by Fombitz(32388)

Question 317531: Simplify your answer. (5u+6x+5)(u+4x+7)
Click here to see answer by Fombitz(32388)

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, 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