Questions on Algebra: Equations answered by real tutors!

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Question 186512: Triangular numbers are numbers which can be represented by dots in a triangular array. each side has the same length as the number it represents
ex. the # 3 has 6 dots in it's triangle
I need to know what the pattern or equation is to solve this with any number
thanks for helping

Click here to see answer by stanbon(75887)

Question 186495: Hello.
I'm needing some help with checking what I did wrong on this problem:
Perform the indicated operation and simplify
(s+t)(s^2-st+t^2)
thanks!
Click here to see answer by josmiceli(19441)

Question 186564: A salesman knows he has 36 tables in his store room, some of which have 3 legs and other 4 legs. He discovers by counting that there are 124 legs. How many tables with 4 legs does he have?

(3x / 36)+(4x / 36) = 124
12x + 9x = 124
Click here to see answer by vleith(2983)

Question 186572: I need help with this particular problem, I keep getting y=2/5x-1 but it is not correct, could someone give me a detailed way to solve this problem??
Problem : The equation of a line that goes through the point (8,6) and is parallel to the line 2x+5y=5.
Any help with this will be greatly appreciated.
Click here to see answer by Alan3354(69443)

Question 186608: I am working with rational equations and simply do not understand the steps to work through a problem, if you could please help.
y/3-1/2=1/6
Click here to see answer by jim_thompson5910(35256)

Question 186405: If three times the smaller of two consecutive integers is added to four times the larger, the result is 95. Find the smaller integer.
Click here to see answer by jojo14344(1513)

Question 186511: I dont know how to solve this
but this is what i got so far
----# of toothpicks//perimeter
fig1./3//////////////3
fig2./5//////////////4
fig3./7//////////////5
fig4./9//////////////6
fig5./11/////////////7
fig6./13/////////////8
I need to know the equation or pattern to solve it though
thanks for helping

Click here to see answer by Alan3354(69443)

Question 186630: in production analysis, an isocost line is a line whose points represent all combinations of two factors of production that can be purchased for the same amount. suppose a farmer has allocated $20,000 for the purchase of x tons of fertilizer (costing $200 per ton) and y acres of land (costing $2000 per acre). find an equation of the isocost line that describes the various combinations that can be purchased for $20,000. observe that neither x nor y can be negative.
With full details please
Thank you :)
Click here to see answer by vleith(2983)

Question 186626: a straight line passes through (1,2) and (-3,8). find the point on it that has an x-coordinate of 5.
with full details please
thanks
Click here to see answer by vleith(2983)

Question 186631: pls send me the anser for (a+b+C)3
Click here to see answer by vleith(2983)

Question 186625: passing through (-7,-5) and parallel to the line 3x+3y+6=0
please with full steps, thank you
Click here to see answer by josmiceli(19441)

Question 186636: passing through (-7,-5) and parallel to the line 2x+3y+6=0
please with FULL details
Thank youu,,
Click here to see answer by vleith(2983)

Question 186634: a new television depreciates $120 per year, and it is worth $340 after four years. find a function that describes the value of this television, if x is the age of the television in years.
In full details please, thank you
Click here to see answer by josmiceli(19441)

Question 186402: the supplement of an angle measures 37 degrees more than twice its complement. find the measure of an angle.
Click here to see answer by uday1435(57)

Question 186719: please with full details
Thanks.
A house purchased for $245,000 is expected to double in value in 15 years. find a linear equation that describes the house's value after t years.

Click here to see answer by vleith(2983)

Question 186718: an advertiser goes to a printer and is charged $79 for 100 copies of one flyer and $88 for 400 copies of another flyer. this printer charges a fixed setup cost plus a charge for every copy of single-page flyers. find a function that describes the cost of a printing job, if x is the number of copies made.
Please, With FULL details
and please clear explaination.. Thank you so much !
Click here to see answer by scott8148(6628)

Question 186716: passing through (4,-5) and perpendicular to the line 3y= -2x/5 +3
please with full steps, Thankss
Click here to see answer by uday1435(57)

Question 186744: my daughter has brought home her homework but left her book at school. Can you help? All the questions are similar so i would just need help with a couple to get started. Thanks
-2x-4=3x-19
-3-2x=-7x+57
-3x+2=-5x+16
4-6x=x+32
Click here to see answer by jim_thompson5910(35256)

Question 186843: Can anyone help solve each system by the addition method?
3/7x+5/9y=27
1/9x+2/7y=7
------------
3x-2.5y=7.125
2.5x-3y=7.3125
-------------
Thanks so much!!
Click here to see answer by Edwin McCravy(20055)

Question 186841: Can anyone help me solve each system by addition.
x+y=7
x-y=9
------
x-2y=-1
-x+5y=4
-------
3x+5y=-11
x-2y=11
--------
2x=2-y
3x+y=-1
Thanks for your help

Click here to see answer by checkley77(12844)

Question 186904: (((9(x+2)-3(x+3)=2(x-1)+7 what is x equal to?))) 1.
(((4x+6/9-2x-6/9=12x+8/12 -x what is x equal to?))) 2.
Click here to see answer by jim_thompson5910(35256)

Question 186930: i am trying to figure out how to do this problem I know the answer is 150/x but need to know how to get to that answer
if 300 jellybeans cost x dollars then how many jellybeans can you purchase for 50 cents at the same rate?
I tried 300=x then j=50 but came up with 60x

300/x then 50j but can't come up with the answer they have for it
I need the equation on how to get the answer
thanks
billie
Click here to see answer by ankor@dixie-net.com(22740)

Question 186956: Here is another problem i have been trying to figure out how to do.
John can fill the pool in 30 min, Sue can fill the pool in 45 min, and Sam can fill it in 90 min how long would it take all three of them to fill the pool together?
I have the answer but dont know how to get the answer. I have asked everyone
I can think of for help including one of my teachers and still can't figure it
out.
I have figured out how much of the pool each can fill in 15 min which is half
the time it takes the fastest to fill the pool and several different ways but
can't figure out how to do it.
Click here to see answer by Earlsdon(6294)

Question 186960: It's been a while since I've done any problems.
d + 2d + d = ???
Thanks
Click here to see answer by uday1435(57)

Question 186960: It's been a while since I've done any problems.
d + 2d + d = ???
Thanks
Click here to see answer by Earlsdon(6294)

Question 186996: S= a/1-r
solve for r
Click here to see answer by stanbon(75887)

Question 186971: I am having trouble trying to figure out how the correct answer came to -4, when the answer I got was x=1/5(fraction). The problem was:
5/3x + 1/3x= 2x + 28/3 + 7/3x.
This problem came from a Mathlab I have to use for college. I would appreciate any assistance. Thank you very much.
Click here to see answer by josmiceli(19441)

Question 187081: find all nubers for wich the rate and expression is not defined.
b-5/5b-20
Click here to see answer by jim_thompson5910(35256)

Question 187087: 5/y+2 - 3/y-2 = 4/y^2-4
Click here to see answer by jim_thompson5910(35256)

Question 187094: Can you please help me solve this system of equations for x?
5x-2y=22
x+2y=2
thank you
Click here to see answer by nerdybill(7384)

Question 187172: Find an equation of the line containing the point (-2,-5) and parallel to the line 4x-5y=13.
I tried to solve the above problem and came up with the following answer:
-5y/5=-4x/5+13/5.... y=-4/5x+13/5 ...(slope=-4/5. The answer is supposed to be y=-4/5x+17/5. I don't understand where 17 came from.
Thank you for your help with this problem.
Judy
Click here to see answer by jim_thompson5910(35256)

Question 187161: please show me how to do this equation

24x^3y^5 over......40x^7y^2

thanks a bunch.

Click here to see answer by jim_thompson5910(35256)

Question 187173: please help on this equation.

(6a^3b)(8a^4b^2) over.....

30a^3b^2

thanks.
Click here to see answer by jim_thompson5910(35256)

Question 187142: What does N equal?
2/7n plus n equals 5/9
Click here to see answer by feliz1965(151)

Question 187226: This problem has puzzled several students. Could you please help?
y - 2 = -1/2(x - 1) (slope intercept)
the final answer needs to be in standard form.
Thank you
my email is cbusack@gmail.com
Click here to see answer by stanbon(75887)

Question 187267: 2.4c-3.5=4.7=-10.8
Click here to see answer by checkley77(12844)

Question 187325: Christina makes a $9.25 purchase at a bookstore in Reno with a $20 bill. The store has no bills and gives her the change in quarters and 50-cent piece. There are 30 coins in all. How many of each kind are there?
Click here to see answer by stanbon(75887)

Question 187326: I have a story problem!! Thank you.
223 yards of rope is to be cut into 3 parts. The second part is three more than three times the first part and the third part is 10 yards less than the first. What is the length of each part.
I have this:
Let x = length of the 1st part
Let 3 + x * 3 = 2nd part
Let x - 10 = 3rd part
From there I cant figure out how to write in an equation. Gets all confusing from there.
x + 3 + ( x * 3 ) + x - 10 = 223
3x * 3 - 10 = 223
3x * ( - 7) = 223
-7
3x = 216
---------
both by 3
x = 72

Click here to see answer by stanbon(75887)

Question 187332: The sum of three consecutive numbers is 1965. What are the three numbers?

I never know how to do the consecutive number problems. Need assistance. Thank you. :)
Click here to see answer by josmiceli(19441)

Question 187333: Craig has $6.65 in nickels and dimes on his desk in a jar. If he has 11 less nickels than dimes, how many of each coin does he have?
Not sure on this. THanks for any help on this one.
Click here to see answer by feliz1965(151)

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, 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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