Questions on Algebra: Equations answered by real tutors!

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Question 197310: Which property justifies the following statement.

If 5a-10b=32 then 5(a-2b)=32

A. Commutative Property

B. Associative Property

C. Distributive Property

D. Inverse Property

thank you
Click here to see answer by RAY100(1637)

Question 197316: A bun cost x pence and a cake costs 3 pence more than a bun. four cakes and thee buns together cost pound 1.60.how much does one bun cost?
Click here to see answer by stanbon(75887)

Question 197335: Hi!
I checked over this problem a few times, I put it into the point slope form but I'm not sure what I did wrong in my answer:
Find an equation of the line that satisfies the given conditions
through(2,2); slope 2/3
thanks!
Click here to see answer by Edwin McCravy(20054)

Question 197345: Hello!
Find an equation of the line that satisfies the given conditions.
through (10, 2); perpendicular to the line x - 4y + 4 = 0
thanks!
Click here to see answer by solver91311(24713)

Question 197344: Hi!
I'm having some trouble with the following problem. Can you help me?
Find an equation of the line that satisfies the given conditions.
through (1/2, -2/5); perpendicular to the line 3x - 6y = 1
thanks!
Click here to see answer by solver91311(24713)

Question 197342: Hi, I'm having some trouble with perpendicular lines, Can you help me?
Find an equation of the line that satisfies the given conditions.
through (-1, -13); perpendicular to the line passing through (2, -1) and (10, -3)
thanks!
Click here to see answer by solver91311(24713)

Question 197343: Hi, I'm having some trouble with parallel and perpendicular lines, can you help me?
Find an equation of the line that satisfies the given conditions.
through (8, 1); parallel to the line passing through (9, -1) and (-4, -5)
thanks!
Click here to see answer by solver91311(24713)

Question 197338: Hi I'm having some trouble with the following problem:
Find an equation of the line that satisfies the given conditions.
through (10, 2); perpendicular to the line x - 4y + 4 = 0
thanks!
Click here to see answer by solver91311(24713)

Question 197428: I'm having some trouble getting the correct answer for this following problem:
Write an equation that expresses the statement. (Use k as the constant of variation.)
S is jointly proportional to r and θ.
Wouldn't the answer be S = kr8?
thanks!
Click here to see answer by Alan3354(69443)

Question 197429: Hi!
I'm not sure what exactly I did wrong in this problem. I came up with the answer 16/3 but it says that its wrong. Can you help me?
Express the statement as an equation. Use the given information to find the constant of proportionality.
M varies directly as x and inversely as y. If x = 4 and y = 3, then M = -4.
thanks!
Click here to see answer by Alan3354(69443)

Question 197435: Hi! I'm having trouble with part "c" on this word problem:

Hooke's Law states that the force needed to keep a spring stretched x units beyond its natural length is directly proportional to x.
(a) Write Hooke's Law as an equation. Use k for the constant of proportionality
(b) If a spring has a natural length of 8 cm and a force of F = 48 N is required to maintain the spring stretched to a length of 16 cm, find the spring constant
(c) What force is needed to keep the spring stretched to a length of 14 cm?
thanks!

Click here to see answer by scott8148(6628)

Question 197447: Find the x-intercept of 3x-4y=24

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Click here to see answer by jim_thompson5910(35256)

Question 197448: Find the slope of the line that passes through (-3,7) and (5,-5)

thank you
Click here to see answer by jim_thompson5910(35256)

Question 197457: For which value of x is the fraction 3 over x-1 undefined?
1) 1
2)-1
3) 3
4) 0
Click here to see answer by edjones(8007)

Question 197470: Two heads of lettuce and three pounds of tomatoes cost $2.85. Three heads of lettuce and two pounds of tomatoes cost $2.90. Find the cost of one head of lettuce and the cost of one pound of tomatoes.(an algebric solution can be accepted.)
Click here to see answer by edjones(8007)

Question 197468: a) Solve for n and check:
n+6 over 3 - n-3 over 2 = 2
b) Perform the indicated operation and express the result in lowest terms:
x�-9 over x-3 times 4x+8 over x�+5x+6
Click here to see answer by ankor@dixie-net.com(22740)

Question 197478: please help me solve the following problem. I get very confused with the letters instead of numbers as denominators. 1/a+2/b+3/c
Click here to see answer by edjones(8007)

Question 197478: please help me solve the following problem. I get very confused with the letters instead of numbers as denominators. 1/a+2/b+3/c
Click here to see answer by josmiceli(19441)

Question 197479: Please help me solve this problem.
6/(15x) +7/75-2/(3x)
I think you should find the lcd which would be 75 I think but then I get confused with the x's. Thanks
Click here to see answer by josmiceli(19441)

Question 197480: Please help me solve for x in this problem
3/(5x)-4/(3x)=7
Thanks
Click here to see answer by josmiceli(19441)

Question 197482: Write the equation 6x-3y=9 in slope intercept form
Click here to see answer by ejazali_syed(7)

Question 197481: Find the slope of the line that passes through (-3,7), and (5,-5)

thank you
Click here to see answer by nerdybill(7384)

Question 197496: Write the equation of the line that passes through (8,5) with a slope of -1 over 2

thank you
Click here to see answer by Alan3354(69443)

Question 197506: Write the equation of the line that passes through (5,8), and (3,2)

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Click here to see answer by Alan3354(69443)

Question 197522: If x over a = r over s, solve for x in terms of a, r, and s.
Click here to see answer by checkley77(12844)

Question 197508: check whether the given number is a solution of the equation
7-2x=15;-4
Click here to see answer by checkley77(12844)

Question 197541: Solve for r: 3r-4=4(r-3)
Click here to see answer by vleith(2983)

Question 197536: The product of two positive consecutive odd intgers is 5 more than 6 times the smaller integer. Find both integers.(an algebraic solution can be accepted.)
Click here to see answer by Alan3354(69443)

Question 197531: Write an equation or a system of equations that can be used to solve each of the following problems. In each case, state what the variable or variables represent.(solution of the equations is not required.)
a) Julie can keypunch a certain number of computer cards in 4 hours. It takes Pat 6 hours to keypunch the same number of computer cards. If Julie and pat work together, how long will it take them to keypunch that number of cards?
b) The sum of the digits of a two-digit number is 7. If the digits are reversed, the new number is two more than twice the original number. Find the original number.
Click here to see answer by ankor@dixie-net.com(22740)

Question 197524: If x represents an even integers, which expression also represents an even integer?
1) 2x+1
2) 2x
3) x+1
4) x-1
Click here to see answer by user_dude2008(1862)

Question 197569: Write the equation of the line that passes through (5,8) and (3,2)

thank you
Click here to see answer by jim_thompson5910(35256)

Question 197581: State the slope of the line given by 2x-5=20

thank you
Click here to see answer by Alan3354(69443)

Question 197582: What kind of line has no slope?
Click here to see answer by jim_thompson5910(35256)

Question 197584: State the slope of the line given by 2x-5y=20
Click here to see answer by jim_thompson5910(35256)

Question 197586: Please graph the equation y=x+3

thank you
Click here to see answer by jim_thompson5910(35256)

Question 197624: Which equation is valid for all ordered pairs shown in this table.

the x side of the t chart has -1, 0, 1, and 2

the y side of the t chart has -3, -2, -1, and 0.

The choices are A.y=x-3 B.y=x-2

C y=2x-1 or D y=2x+4
Click here to see answer by stanbon(75887)

Question 197660: please multiply

(2x-3)(3x-5)

thank you
Click here to see answer by stanbon(75887)

Question 197667: please divide

16m^3n^4

over

20mn^6

thank you
Click here to see answer by stanbon(75887)

Question 197667: please divide

16m^3n^4

over

20mn^6

thank you
Click here to see answer by tutorcecilia(2152)

Question 197670: Find the value of y in the equation

y=2x^2-x+5 if x =4

thank you
Click here to see answer by Alan3354(69443)

Question 197670: Find the value of y in the equation

y=2x^2-x+5 if x =4

thank you
Click here to see answer by tutorcecilia(2152)

Question 197678: please simplify (2m^5n^4)^3

thank you
Click here to see answer by stanbon(75887)

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, 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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, 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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