Questions on Algebra: Equations answered by real tutors!

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Question 1189684: (a) The complex conjugate of 5 + 3i is 5 + 3i =

(b) (5 + 3i)(5 + 3i)=
Click here to see answer by ikleyn(52778)

Question 1189716: Given that x and y are integers and , find x-y
Click here to see answer by ikleyn(52778)

Question 1189721: determine if the statement is true or false. If false, give counter example.
If a is a solution of x < 5, then a is also a solution of x < 5 and x is greater or = to -4
In my head, it seems like its false, but I have no idea how to prove it or write the equation.

Click here to see answer by ikleyn(52778)

Question 1189725: If a is a solution of x < 5, then a is also a solution of x is less than 5 AND x is greater than or equal to negative -4
I need to know how to write this out in an equation to find out if the statement is True or False.
If it is False, I need to give an example of a number that would make the statement true
Thank you.
Click here to see answer by ikleyn(52778)

Question 1189768: 14-5x>9x
2(3x+1)≤½(2x-5)
Click here to see answer by Alan3354(69443)

Question 1189768: 14-5x>9x
2(3x+1)≤½(2x-5)
Click here to see answer by ikleyn(52778)

Question 1189775: 14-5x >9x
2(3x +1)≤½(2x-5)

Click here to see answer by ikleyn(52778)

Question 1189774: 14-5x >9x
2(3x +1)≤½(3x-5)
Click here to see answer by ikleyn(52778)

Question 1189782: Help me to solve m+2n=3
Click here to see answer by josgarithmetic(39617)

Question 1189782: Help me to solve m+2n=3
Click here to see answer by math_tutor2020(3816)

Question 1189842: Two mechanics worked on a car. The first mechanic charged 65$ per hour, and the second mechanic charged 90$ per hour. The mechanics worked for a combined total of hours, and together they charged a total of 1100$ . How long did each mechanic work?

Click here to see answer by Alan3354(69443)

Question 1189841: A table and 8 chairs together weigh 97 lb. If the table weighs 25 lb, how much does each chair weigh?
Click here to see answer by Alan3354(69443)

Question 1189841: A table and 8 chairs together weigh 97 lb. If the table weighs 25 lb, how much does each chair weigh?
Click here to see answer by math_tutor2020(3816)

Question 1189841: A table and 8 chairs together weigh 97 lb. If the table weighs 25 lb, how much does each chair weigh?
Click here to see answer by ikleyn(52778)

Question 1189913: Suppose that there are two types of tickets to a show: advance and same-day. The combined cost of one advance ticket and one same-day ticket is $55. For one performance, 30 advance tickets and 40 same-day tickets were sold. The total amount paid for the tickets was $1900. What was the price of each kind of ticket?
Click here to see answer by Theo(13342)

Question 1189914: A family has two cars. The first car has a fuel efficiency of 35 miles per gallon of gas and the second has a fuel efficiency of 25 miles per gallon of gas. During one particular week, the two cars went a combined total of 1975 miles, for a total gas consumption of 65 gallons. How many gallons were consumed by each of the two cars that week?
Click here to see answer by josgarithmetic(39617)

Question 1189915: A delivery truck is transporting boxes of two sizes: large and small. The combined weight of a large box and a small box is 80 pounds. The truck is transporting 60 large boxes and 50 small boxes. If the truck is carrying a total of 4500 pounds in boxes, how much does each type of box weigh?
Click here to see answer by ikleyn(52778)

Question 1189924: A chemical company makes two brands of antifreeze. The first brand is 55% pure antifreeze, and the second brand is 85% pure antifreeze. In order to obtain 180 gallons of a mixture that contains 75% pure antifreeze, how many gallons of each brand of antifreeze must be used?
Click here to see answer by josgarithmetic(39617)

Question 1189952: Given h(x)=x^3 +1, find the equation of the secant line passing through (-3, h(-3)) and (1, h (1)). Write your answer in the form y=mx+b.

Click here to see answer by MathLover1(20849)

Question 1190001: Find the average rate of change of f (x)=-x^2+2x+9 from x=-3 to x=1.
Click here to see answer by ikleyn(52778)

Question 1190030: Suppose that the functions f and g are defined as follows.
f(x) = 2x-3
g(x) square root(3х - 1)
1. Find (f times g) and f-g. Then, give their domains using interval notation.

Click here to see answer by MathLover1(20849)

Question 1190067: What is the solution to the inequality -5x ≥ 25?
a. x>5
b. x<5
c. x>-5
d.x<-5
Click here to see answer by math_tutor2020(3816)

Question 1190073:
5. A triangular playground has its sides measured. They sides are f metres, f + 4 metres and f + 5 metres.
a) Write an expression for the perimeter of the playground.
b) The perimeter is 51 metres. Form a suitable equation using this information.
c) What are the lengths of all three sides of the playground

Click here to see answer by Theo(13342)

Question 1190072: 4. Sarah thinks of a number, x. She doubles it and subtracts 5. She gets 27. What was her original number?

Click here to see answer by Theo(13342)

Question 1190071: 3. A sports team is taken to a competition in p cars. Each car contains 4 members of the team, except for the last car which only contains 1 team member.
a) Write an expression for the number of people in the team.
b) The manager checks names off as car arrive and all 17 players arrive. Write and solve an equation to find out how many cars were full.
c) How many cars were used in total?

Click here to see answer by Theo(13342)

Question 1190069: Michael gets paid £y per week for his paper round after four weeks he gets paid but £2 is deducted for lateness. write an expression for the amount Michael gets. when he opens his pay packet he finds he has been paid £22 write and solve an equation to find out how much Michael is paid per week
Click here to see answer by math_tutor2020(3816)

Question 1190112: X-2y=10
Y=x^2+2x-15
Click here to see answer by Alan3354(69443)

Question 1190121: A boat on a river travels downstream between two points, 80 mi apart, in 1 h. The return trip against the current takes 2.5 hours.
What is the boat's speed (in still water)?
Click here to see answer by Alan3354(69443)

Question 1190127: 10x + 4y = 12
15x + 6y = 18
solve by substitution
Click here to see answer by Alan3354(69443)

Question 1190128: A boat on a river travels downstream between two points, 80 mi apart, in 1 h. The return trip against the current takes 2.5 hours
What is the boat's speed (in still water)?
Click here to see answer by Alan3354(69443)

Question 1190142: p(-2)for p(x)=2x^(4)+2x^(3)-4x-6 using remainder theorem
Click here to see answer by MathLover1(20849)

Question 1190143: A group of students from a school are on a sightseeing trip.The journey from Singapore to Penang is 820km/hour and the return journey's average speed is (x+8)km/h what is an expression for the total number of hour spent traveling on the coach during the trip
Click here to see answer by greenestamps(13198)

Question 1190155: Convert 27.5cL to nL using dimensional analysis and write your answer in scientific notation.
Click here to see answer by MathLover1(20849)

Question 1190170: Six years ago, Mrs. Aguilar was 5 times as old as her daughter Agnes. How old is Agnes now if her age is one -third of her mother’s present age?

Click here to see answer by josgarithmetic(39617)

Question 1190105: 2 bikes were sold for $760 after $80 discount were deducted
a) Write an equation for this information. Let original price of the bikes be 'b'
b) Find the original price of the bikes
Click here to see answer by Boreal(15235)

Question 1190203: A. Translate. (Do not simplify or solve.)
Eight more than k exceeds 23.
B. Solve. (Simplify your answer completely.)
C. Write the solution in interval notation.
D.Graph on the number line.

Click here to see answer by josgarithmetic(39617)

Question 1190235: y varies directly as the squate of x,if y=98 when x=7 caculate y when x=5

Click here to see answer by Solver92311(821)

Question 1190260: A test has twenty questions worth 100 points. The test consists of True/False questions worth 3 points each and multiple choice questions worth 11 points each. Choose all the constraints that are true for the variables in the given situation if t represents the number of true/false questions and m represents the number of multiple choice questions.

Click here to see answer by greenestamps(13198)

Question 1190250: The total number S (in millions) of sheep and lambs on farms in a country from 1995 through 2002 can be approximated by the model
S = 0.032t^2 − 0.87t + 12.6, 5 ≤ t ≤ 12,
where "t" represents the year, with t = 5 corresponding to 1995. Use a graphing utility to graph the model. Extend the model past 2002. Does the model predict that the number of sheep and lambs will eventually increase? If so, estimate when the number of sheep and lambs will once again reach 8 million.
Click here to see answer by Boreal(15235)

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