Questions on Algebra: Equations answered by real tutors!

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Question 125344: A pipe can fill a swimming pool in 6 hours. After it has been filling the empty pool for 3 hours, a second pipe is also used, with the result that the pool is filled in another 2 hours. How long will it take the second pipe alone to fill the pool. PLEASE HELP!!!!! The answer is 12 hours, but I don't know how to get there. HELP MUCH APPRICIATED!!!!!!!!!!11
Click here to see answer by scott8148(6628)

Question 125372: A pipe can fill a swimming pool in 6 hours. After it has been filling the empty pool for 3 hours, a second pipe is also used, with the result that the pool is filled in another 2 hours. How long will it take the second pipe alone to fill the pool. PLEASE HELP!!!!! The answer is 12 hours, but I don't know how to get there. HELP MUCH APPRICIATED!!!!!!!!!!!!!!
Click here to see answer by scott8148(6628)

Question 125465: From 1990 to 1993, the number of truck registrations (in millions) in the united states can be approximated by the model R=0.29t^2+45 where t is the number of years since 1990. During which year were approximately 46.16 million trucks registered.
Click here to see answer by stanbon(75887)

Question 125480: Hi. Can I have some help finding the domain of this function?
g(x)=√x/2x^2+x-1
Click here to see answer by solver91311(24713)

Question 125452: Got a question regarding an equation for a survival rate/average duration for an unemployment insurance claimant.
Basically I've got
D - The average duration of weeks of a UI claimant.
S - The week to week survival rate of claimants.
p - The Average potential duration that an individual may claim.
To solve for duration I have this equation:
D = (1-S^p)/(1-S)
or as far as I've been able to go:
D - (-S^p + 1)/(-S + 1) = 0

Anyone have any input on this? It would be much appreciated!
Thanks,
Kevin

Click here to see answer by solver91311(24713)

Question 125477: Hi Can I have some help finding the domain of the function?
f(x)=1/3x-6
Click here to see answer by stanbon(75887)

Question 125511: Let f(x) = -x - 5 and g(x) = 2x + 3 Find the indicated value.
x when g(x) =1
Any help with the given equation would Greatly appreciated.
Click here to see answer by stanbon(75887)

Question 125510: Let f(x) = -x - 5 and g(x) = 2x + 3 Find the indicated value.
f(x) when x = -10
Any help with the given equation would Greatly appreciated.
Click here to see answer by stanbon(75887)

Question 125505: Write an equation of the line through the given points.

(1,5),(0,6)
Any help with the given equation would Greatly appreciated.
Click here to see answer by checkley71(8403)

Question 125501: Write an equation of the line through the given points.

(2, -4),(0, -3)

Any help with the given equation would Greatly appreciated.
Click here to see answer by checkley71(8403)

Question 125491:
You deposit $1200 into a savings account that earns 3% interest compounded anually. Find the balance of the account after 2 years.
Click here to see answer by checkley71(8403)

Question 125499: Write an equation of the line through the given points.

26. (0,2),(3,8)
Any help with the given equation would Greatly appreciated.
Click here to see answer by checkley71(8403)

Question 125538:

what is the x & y intercept of y = 3x + 5

Click here to see answer by checkley71(8403)

Question 125551: Hi Can I have some help with this function?
Use the function to evaluate the indicated expressions and simplify.
f(x) = 8x + 3
f(x2) =
(f(x))2 =
Click here to see answer by stanbon(75887)

Question 125623: Find an equation for the line: through (4, 5) and vertical
Click here to see answer by stanbon(75887)

Question 125673: the formula m=0.3048 coverts length in feet f to length in meters m. a building that is 270 feet tall, is how tall in meters?
Click here to see answer by bucky(2189)

Question 125622: Find an equation for the line: through (1, 8) and perpendicular to y = 5/4x + 4
Click here to see answer by anne(47)

Question 125307: Ingrid can rake our lawn in 90 min ad I can do it in 60 min. If she rakes for 15 min before I join her, how long will it take us to finish? PLEASE HELP!!! The answer is 30 min, but I don't know how to get there. HELP IS MUCH APPRICIATED!!!!!!!!!
Click here to see answer by ankor@dixie-net.com(22740)

Question 125801: Write an equation of the line through the given points.
28. (1,5),(0,6)
Any help with this equation would be Greatly appreciated.
Click here to see answer by MathLover1(20849)

Question 125807: Hello I just wanted to make sure this answer was correct.
Write a true sentence using either < or >.
-1.2 ___ 0.333
My answer was -1.2 > 0.333
Click here to see answer by checkley71(8403)

Question 125829: Solve each of the following equations for x.

Click here to see answer by jim_thompson5910(35256)

Question 125884: Factor:

x^2+6x-16

Click here to see answer by jim_thompson5910(35256)

Question 125883: Factor:
x^2+5x+6

Click here to see answer by jim_thompson5910(35256)

Question 125882: Factor:

x^2+3x-18
Click here to see answer by jim_thompson5910(35256)

Question 125881: Factor:
x^2+7x+6
Click here to see answer by jim_thompson5910(35256)

Question 125974: 4x-16=80..This is from a test so I don't have a chapter or anything. I do not understand how to do this one or check my answer.
Click here to see answer by jim_thompson5910(35256)

Question 125973: 5x+8=3x-4= I think I got the right answer on the test. I wrote 6 as the answer but I got it 1/2 wrong because I don't know how to check my answer. I was wondering if you could help me figure out how to check my answer.
Click here to see answer by jim_thompson5910(35256)

Question 125994: How would you solve this equation?
2/3x-6-1/36=-3/4x-8
Click here to see answer by jim_thompson5910(35256)

Question 125997: How would you solve this equation?
6/5x-2/3x=-8/45
Click here to see answer by jim_thompson5910(35256)

Question 126005: Hi Can I have some help evaluating this function?
Use the function to evaluate the indicated expressions and simplify.
f(x) = -2x^2 + 7
f(x + 2) =
f(x) + f(2) =
Click here to see answer by jim_thompson5910(35256)

Question 126006: Hi Can I have some help with this problem?
According to the Theory of Relativity, the length L of an object is a function of its velocity v with respect to an observer. For an object whose length at rest is 25 m, the function is given below, where c is the speed of light.
L(v)=25 sqrt(1-(v^2)/(c^2))
(a) Find L(0.5c), L(0.8c), and L(0.84c).
L(0.5c) =
L(0.8c) =
L(0.84c)=

Click here to see answer by MathLover1(20849)

Question 126063: Hi I'm having trouble with this piecewise function. Can you help me?
Evaluate the piecewise defined function at the indicated values.
f(x)={(-5 if x<=3, x + 3 if x>3)
f(-4) =
f(0) =
f(3) =
f(4) =
f(6) =
Click here to see answer by marcsam823(57)

Question 126083: Can you please give me some insight on this problem, I don't know where to begin. Here goes: Substitute the given values into the formula and solve for the unknown variable.
V=one-third Bh; V=20; h=5
Click here to see answer by Earlsdon(6294)

Question 126109: Dear Tutor.
I have two questions. Can you , please help me ?
How to explain how equations come up with infinitely many solutions and no solution. Does having no solution mean that 0 is a solution?
Thank you.
Click here to see answer by stanbon(75887)

Question 126165: I need help on this. This is Math 209 the second half.
The problem to be solved is perform the indicated operation
3/x+1+2/x-1
Click here to see answer by stanbon(75887)

Question 126209: Can you please solve this problem for me.
2x/3+3/8=-1x/3-3/10 These are fractions, fractions are denoted by the forward slashes. Thanks in advance for your help.
Click here to see answer by edjones(8007)

Question 126225: Mr. Dee spent (in this order) 1/4 of his life in England, 1/3 in France, 7 years in Germany, half the remainder of his life in Russia and 1/2 as long in the U.S. as he had spent in France. If he was born in 1908, in what year did he die?
How would this be put into an equation ?
Solved it... by another method... 1992... but need to understand how to work the equation.
Thank you
Click here to see answer by uma(370)

Question 124779: how do i do this kinda stuff it confuses me
4d-5-9d+17

Click here to see answer by apachemexican1(64)

Question 126229: PLEASE HELP- A TRAIN LEAVES THE STATION AT 6PM GOING WEST AT 80 MI/. ON A PARRALLEL TRACK ANOTHER TRAIN LEAVES 3HRS LATER GOING 100 MI/H. AT WHAT TIME WILL THE 2ND TRAIN CATCH UP WITH THE FIRST TRAIN?
Click here to see answer by checkley71(8403)

Question 126231: PLEASE HELP ME- FRED BEGINS TO WALK TOWARDS JONS HOUSE AT 3 MI/H. JON LEAVES AT THE SAME TIME AND WALKS TOWARDS FREDS HOUSE ON THE SAME PATH AT 2 MI/H. HOW LONG WILL IT TAKE BEFORE THE TWO WILL MEET IF THE HOUSES ARE 4 MILES APART?
Click here to see answer by josmiceli(19441)

Question 126273: L+2=14
Y-1=91
18=4P
Click here to see answer by lauren_x3(3)

Question 126277: the number increased by 18 equal 60
Click here to see answer by lauren_x3(3)

Question 126277: the number increased by 18 equal 60
Click here to see answer by bucky(2189)

Question 126275: rediger statements to interpret formulas
5+n=25
6-p=2
10q=1000
89=h-2
34=2x
144=12y
45=9+m
Click here to see answer by solver91311(24713)

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, 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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