Questions on Algebra: Equations answered by real tutors!

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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.

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Question 179186: 20.2x+4y=40
7x-3y=4

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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(24713) About Me 

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

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Question 179338: 12x+18y=30 4x-13y=67 ; please solve the system of equation.
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Question 179423: (22b-2)-7(3b+2)=-6
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Question 179423: (22b-2)-7(3b+2)=-6
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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=

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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(35256) About Me 

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?

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Question 179606: HI.
Show that the x-intercept of the graph of Ax+By=C is (C/A,0)
thanks.
H.C.

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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.

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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) About Me 

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

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Question 179662: What is the easiest way to express a number as a product of its prime numbers. Let's say 585. If I'm in a test how can i resolve this effectively? please help...
Thanks

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Question 179672: Four Times the sum of three consecutive integers is 48.
a. write an equation that could be used to find the integers
b. what are the integers
I believe the answer is Integers: 3,4, and 5 because 3+4+5 = 12 * 4 = 48. but I do not know how to write the equation.

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Question 179808: 2.65 x 10^3
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Question 179856: -5x=2/5
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Question 179878: 125-8x3
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Question 179879: ab-a-b+1
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Question 179790: Solve by substituting
x + y + z = 8
-3x + 2y + 4z = 8
2x + 5y + 3z = 16

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Question 179971: rearranging formula
T=20W+30 (FIND W)
A=LxB (FIND B)
N=6P+2 (FIND P)
K=8(M/5) (FIND M)

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Question 180011: A cynlindrical water tank has a volume of 6(pie)x(to the power of 2)y(to the power of 4) cubic meters. The formula for the volume of a cylinder is (pie)r(to the power of 2)h. The water tank has a radius of xy meters. What is its height?
Click here to see answer by nerdybill(7384) About Me 

Question 180039: Hello.
Can I have some assistance in drawing the graph of linear function and give the domain and range.
2x-3y=6

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Question 180041: I know the answer to my question, because I kept multiplying, but I don't know howto show my work as a stratey. The question is. In a math class of 26 students, each girl drew a triangle and each boy drew a rectangle. There were 92 slides in all. How may girls and how many boys were in the class. The answer I came up with was 16 girls and 11 boys.
Click here to see answer by nerdybill(7384) About Me 
Question 180041: I know the answer to my question, because I kept multiplying, but I don't know howto show my work as a stratey. The question is. In a math class of 26 students, each girl drew a triangle and each boy drew a rectangle. There were 92 slides in all. How may girls and how many boys were in the class. The answer I came up with was 16 girls and 11 boys.
Click here to see answer by scott8148(6628) About Me 
Question 180041: I know the answer to my question, because I kept multiplying, but I don't know howto show my work as a stratey. The question is. In a math class of 26 students, each girl drew a triangle and each boy drew a rectangle. There were 92 slides in all. How may girls and how many boys were in the class. The answer I came up with was 16 girls and 11 boys.
Click here to see answer by Earlsdon(6294) About Me 

Question 180077: x/3+2=0
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Question 179139: Find the value of the variable that satisfies the equation. Check your solution. Answers that are not integers may be left in fractional or decimal form.

8x=48+2x

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Question 179132: y=1/2x+3
y=2x-1

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Question 178777: 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? How long does it take him to walk 8 miles?
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Question 176472: x+5/3 = x+5/7
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Question 171043: Solve using either substitution or addition method. Tell which method was used?
x=y+9
5x-3y=7

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Question 170973: x^2-6x+5>0
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Question 180133: Factor Polynomial completely.
4a^3b-5a^2b^2-6ab^3

Click here to see answer by Mathtut(3670) About Me 

Question 180134: Hi I have a problem that is tricky, a bicyclist and a hiker leave the same place at the sametime and travel in the same direction. The bicyclist travels three times as fast as the hiker. At the end of 3 hrs they are 24 miles apart. How fast does the hiker travel.
I tried looking at all angles but could not get a suitable ,if you could provide a suitable formula using x + y. Thanks This is a uniform motion problem from a study unit book for an on line course from penn foster its algebra part 3. 2469C-1

Click here to see answer by Alan3354(69443) About Me 
Question 180134: Hi I have a problem that is tricky, a bicyclist and a hiker leave the same place at the sametime and travel in the same direction. The bicyclist travels three times as fast as the hiker. At the end of 3 hrs they are 24 miles apart. How fast does the hiker travel.
I tried looking at all angles but could not get a suitable ,if you could provide a suitable formula using x + y. Thanks This is a uniform motion problem from a study unit book for an on line course from penn foster its algebra part 3. 2469C-1

Click here to see answer by stanbon(75887) About Me 

Question 180187: find the equation of the line that contains (-2, 8) and has a slope 1/2.
thanks a lot for helping me out! :)

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Question 180187: find the equation of the line that contains (-2, 8) and has a slope 1/2.
thanks a lot for helping me out! :)

Click here to see answer by stanbon(75887) About Me 

Question 180209: I've been trying to figure this problem out but I just don't know how to do it. Any help would be greatly appreciated
6 gum drops and 10 lollipops cost $1.36, but 6 lollipops and 10 gum drops cost $1.20, how much does each lollipop and gum drop cost?

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Question 180191: find the equation of the line that contains the point (2,-5) and is parallel to the line y=5/2x-4
thanks for the help!!

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Question 180195: find the equation of the line that contains the point (3,2) and is perpendicular to the line 3x+y= -3
thanks for the help!

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Question 180220: 14m=18+12m

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Question 180237: I got this problem:
For a given two-digit positive integer, the tens digits is 5 greater than the units digit. the sum of the digits is 11. Find the integer.
I got so far this:
x(!0(5) + y(!) = 11. But that i'm not going any where. Can you tell me please what is wrong with my reasoning and can solve this.
Thank you as always

Click here to see answer by Mathtut(3670) About Me 

Question 180239: This is actually a word problem!
To create a breakfast beverage, cherry juice in two concentrations, 19% and 60%, must be combined into a solution that will be mixed with another type of juice to produce the beverage. If 70 gallons of 19% juice is used, how many gallons of the 60% juice must be used to obtain a 50% cherry juice solution?

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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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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