Questions on Algebra: Equations answered by real tutors!

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Question 178783: I do not understand the how to solve these equations. I have to find the value of x in all of the problems. Problem 17 is using fractions in case you were wondering.
14. 2x-3(x+6)= -4(x-1)
15.2-3(x+4)= 9-(3+2x)
16.2.75-7.75(5-2x)= 26
17.1/2x+4= 2/3x
Click here to see answer by checkley75(3666)

Question 178780: A bicycle rider travels 18 miles in the same amount of time that it takes a jogger to travel 10 miles. If the bicyclist goes 9.6 miles per hour faster than the jogger, how fast does each person travel?
Click here to see answer by Mathtut(3670)

Question 178797: If a freight train traveling at 30 miles per hours is 300 miles ahead of an express train traveling at 55 miles per hour, how long will it take the express train to catch up with the freight train?
Click here to see answer by Alan3354(31518)

Question 178796: Maria jogs 15 miles and bicycles back. The total trip requires 3 hours. If she bicycles twice as fast as she jogs, how fast does she bicycle?
Click here to see answer by ankor@dixie-net.com(15746)

Question 178875: 1/3 + m= 4 1/4
Click here to see answer by Mathtut(3670)

Question 178794: Carlos can walk 8 miles in the same time it takes him to jog 12 miles. His jogging rate is 5 miles per hour faster than his walking rate. At what rate does he walk?
Click here to see answer by ankor@dixie-net.com(15746)

Question 178879: 3(x-5)/2 = 2(x+5)/3 can you pleas help me solve this equation?
Click here to see answer by nerdybill(7003)

Question 178868: Solve each system by addition
2x = 2 - y
3x + y = -1
Thanks
Click here to see answer by nerdybill(7003)

Question 178886: v-4(4-v)= -2(2v-1) HELP!
Click here to see answer by nerdybill(7003)

Question 178886: v-4(4-v)= -2(2v-1) HELP!
Click here to see answer by solver91311(17077)

Question 178872: Solve each system by addition
2x = 2 - y
3x + y = -1
Thanks
Click here to see answer by jojo14344(1512)

Question 178961: Evluate 3 to the three power

Click here to see answer by jim_thompson5910(28715)

Question 178991: 4t-5=10-t
Click here to see answer by jim_thompson5910(28715)

Question 179030: x=4y+5
x=3y-2

Click here to see answer by vleith(2825)

Question 179030: x=4y+5
x=3y-2

Click here to see answer by checkley75(3666)

Question 178962: i need help with solving for x.. I am completely suck on where i even need to start my problem is:
-2x+2(4x-9)+2x-(7-3x)=-(x+3)-5
and
5x+6=3(x-4)+2(x+9)
can some help me please.
Click here to see answer by checkley75(3666)

Question 179039: 3x-2y=12
x+2y=6
Click here to see answer by stanbon(57967)

Question 179039: 3x-2y=12
x+2y=6
Click here to see answer by jim_thompson5910(28715)

Question 179042: t+t=2
_ _
2 6
the problem is a fraction equation. t over 2 plus t over 6 equals 2. what is t?
started by find lcd (6) but got lost after that. thanks for any help you can give.
Click here to see answer by stanbon(57967)

Question 179063: fraction {a - 2 b}{a + 2 b} = 1 k + 1
solve for a
Click here to see answer by Mathtut(3670)

Question 179066: \frac{(3.7)^x (3.7)^{-1}}{(3.7)^{-4}}=(3.7)^{2}
x =
Click here to see answer by jim_thompson5910(28715)

Question 179038: c-5d=2
2c+d=4
Click here to see answer by monika_p(71)

Question 179033: 4c=3d+3
c=d-1
Click here to see answer by HyperBrain(694)

Question 179071: ax+b=cx+d
Solve for x
Click here to see answer by Mathtut(3670)

Question 179064: solve the equation
*[tex \frac{1}{4} y - 8 = \frac{1}{10} y]
Click here to see answer by Alan3354(31518)

Question 179064: solve the equation
*[tex \frac{1}{4} y - 8 = \frac{1}{10} y]
Click here to see answer by solver91311(17077)

Question 179103: If c is the measure of the hypotenuse, find each missing measure. Round to the nearest tenth if necessary a=?,b=12,c=sq root of 318
Click here to see answer by Alan3354(31518)

Question 179101: 1/4y-8=1/10y
y=
Click here to see answer by solver91311(17077)

Question 179184: what is the value of n
n/3=16-n
i can't figure out how to get n on both sides of the equation
Click here to see answer by Mathtut(3670)

Question 179184: what is the value of n
n/3=16-n
i can't figure out how to get n on both sides of the equation
Click here to see answer by josmiceli(9817)

Question 179195: How do we write the equation of a vertical line? what would be an example?
The points (1,3),(2,5)(8,17),(50,101),and (1000,2001) all lie on line M.
The points (1,-1),(2,-3),(8,-15),(50-99),(and (1000-1999) all lie on line N.
a.form the equations of both the lines.
b.what are the co-ordinates of the intersections of lines M and N
c.write the co-ordinates of the intersections of lines M and N with the x-axis
d.write the co-ordinates of the intersection of lines M and N with the y-axis.
Click here to see answer by stanbon(57967)

Question 179186: 20.2x+4y=40
7x-3y=4
Click here to see answer by checkley75(3666)

Question 179220: A 10" pepperoni pizza serves 4 people and costs $4.50 and a 13" pepperoni pizza serves 6 people and costs $7.50. There are 12 people coming to your pizza party and you plan to serve each guest 2 pieces of pizza without spending any more money than you have to. Answer the following question - I will order (how many)_______ (size)_______ pizzas because________________________________
Click here to see answer by solver91311(17077)

Question 179296: Solve the equation :(8/(x+1))-(5/2)=(4/(3x+3))
x=
I need help solving this problem for x. I know I multiply the denominators by 6(x+1) but after that I am not sure what to do. Any help with this problem will be greatly appreciated. Thank you
Click here to see answer by ptaylor(2052)

Question 179338: 12x+18y=30 4x-13y=67 ; please solve the system of equation.
Click here to see answer by Fombitz(13828)

Question 179423: (22b-2)-7(3b+2)=-6
Click here to see answer by Alan3354(31518)

Question 179423: (22b-2)-7(3b+2)=-6
Click here to see answer by jim_thompson5910(28715)

Question 179420: Can someone please help with this problem. I got 8, but I'm not certain if its correct.
5x-(4x+5)=0
x=
Click here to see answer by Alan3354(31518)

Question 179420: Can someone please help with this problem. I got 8, but I'm not certain if its correct.
5x-(4x+5)=0
x=
Click here to see answer by jim_thompson5910(28715)

Question 179464: The St. Mark's Community Barbecue served 250 dinners. A child's plate cost $7.00. A totalof $1347.50 was collected. How many of each type of plate was served?

Click here to see answer by stanbon(57967)

Question 179606: HI.
Show that the x-intercept of the graph of Ax+By=C is (C/A,0)
thanks.
H.C.
Click here to see answer by jim_thompson5910(28715)

Question 179604: Hi.

Find the equation of the line parallel to the line y=-8 and passing through the midpoint of the segment joining (-4,2)and (-2,8)
thanks.
H.C.
Click here to see answer by jim_thompson5910(28715)

Question 179651: Hello I have a question regarding the easiest way to find the positive divisors of a number. I know there is a way to find them in a quick way instead of going through every number.
For example I have this number 372. and even though I got the answer, it willtake me for ever to come up with 1,2,3,4,6,12,32,62,93,124,186,372.
Please can you explain me how can I find the positive divisors more effectively?
Thanks you as always

Click here to see answer by Mathtut(3670)

Question 179657: Based on my previous questions and the answer provided:
``Hello I have a question regarding the easiest way to find the positive divisors of a number. I know there is a way to find them in a quick way instead of going through every number. For example I have this number 372. and even though I got the answer, it willtake me for ever to come up with 1,2,3,4,6,12,32,62,93,124,186,372. Please can you explain me how can I find the positive divisors more effectively? "
Answer: "You just have to obtain the prime factor decomposition of the number and then to combine those factors in all possible forms.
If they only ask you only by the NUMBER of divisors, that's a lot easier. It's only a problem of counting. For example:
756 = (3^3) * (2^2) * 7
Any factor you may have will be a combination (product) of these factors. You have available 3 "3"s, 2 "2"s and 1 "7", so
# of ways factor "3" may appear = 3 + 1 = 4 (3^0, 3^1, 3^2, 3^3)
# of ways factor "2" may appear = 2 + 1 = 3 (2^0, 2^1, 2^2)
# of ways factor "7" may appear = 1 + 1 = 2 (7^0, 7^1)
thus: # of ways these factors may be combined = 4*3*2 = 24
=> there are 24 factors
I HAVE ANOTHER QUESTION
I think i got a little lost. I got the last part, but how did you figure out that 756 = 3^3 *2^2 *7? Where did you get the numbers from. And also one last question, I would know that there are 24 numbers, but how would i know which ones will be the divisors?
And thanks again
Click here to see answer by Mathtut(3670)

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