Questions on Algebra: Equations answered by real tutors!

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Question 1202450: Barnyard and Barley's circus is in town, and Lorena is going with her father. When Lorena and her father arrive at the performance, they can choose from six entrances to the ground floorof the main arena. There are two stairways and one elevator that go to the balcony. How many different paths can Lorena and her father take from outside the arena to the balcony?
Click here to see answer by ikleyn(52776)

Question 1202454:
Click here to see answer by josgarithmetic(39616)

Question 1202526: Find the general form of the equation of a line passing through the point (1,-2) and perpendicular to the line x+3y-6=0.

Click here to see answer by josgarithmetic(39616)

Question 1202590: Let the function h be defined by h(x) = (1/k) * x^k for some
non-zero constant k. If h(1/3) = (1/3)^4 then what is the
value of k?
(A) 3
(B) 1/3
(C) 4
(D) 1/4
(E) 3/4
Click here to see answer by greenestamps(13198)

Question 1202588: If a + 2b = 3c and 2a + 4b + c = 56 what is the value of c?
(A) -12
(B) -4
(C) 8
(D) 12
(E) 24
Click here to see answer by greenestamps(13198)

Question 1202587: If a and b are positive and 16a^3 * b^-4 = 2a what is a^-2 in terms of b?
(A) -8b
(B) 1/(8b^4)
(C) 8/(b^4)
(D) 4b
(E) 4b^4
Click here to see answer by greenestamps(13198)

Question 1202669: [-5+(-2)+(-4×2) ] × (-5 + 8)

Click here to see answer by mananth(16946)

Question 1202669: [-5+(-2)+(-4×2) ] × (-5 + 8)

Click here to see answer by ikleyn(52776)

Question 1202669: [-5+(-2)+(-4×2) ] × (-5 + 8)

Click here to see answer by josgarithmetic(39616)

Question 1202674: Simplfy (3x -2y + 3x + Y) ( 6x -5 y + 8y - 4x)
Click here to see answer by mananth(16946)

Question 1202674: Simplfy (3x -2y + 3x + Y) ( 6x -5 y + 8y - 4x)
Click here to see answer by greenestamps(13198)

Question 1202674: Simplfy (3x -2y + 3x + Y) ( 6x -5 y + 8y - 4x)
Click here to see answer by josgarithmetic(39616)

Question 1202689: Simplfy (3x -2y + 3x + Y) ( 6x -5 y + 8y - 4x)
Click here to see answer by josgarithmetic(39616)

Question 1190866: For the demand equation, express the total revenue R as a function of the price p per item.
q = −4p + 400
R(p) =
Click here to see answer by mananth(16946)

Question 1177588: Make x the the subject of the formula
A=X(2X-N)-X
Click here to see answer by mananth(16946)

Question 1177588: Make x the the subject of the formula
A=X(2X-N)-X
Click here to see answer by ikleyn(52776)

Question 1177588: Make x the the subject of the formula
A=X(2X-N)-X
Click here to see answer by josgarithmetic(39616)

Question 1167309: tim did 10 lunges on day 1 and continued this doing 4 more lunges on each day.on day 7th he took a break and did nt do any day day.what is the equation for this? express it in the form y=ax(x+b)+c, where a,b and c are constants.x= no of days and y=no of lunges tim did
Click here to see answer by mananth(16946)

Question 1201081: Consider the function f(x) = (x^(4/5))(x-10). Find the the two numbers where f"(x) = 0 or f"(x) is undefined. Also, find the intervals where f(x) is concave up or down.
Click here to see answer by amarjeeth123(569)

Question 1202813: The demand equation for the Drake GPS Navigator is
x + 4p − 728 = 0,
where x is the quantity demanded per week and p is the wholesale unit price in dollars. The supply equation
x − 20p + 1000 = 0,
where x is the quantity the supplier will make available in the market each week when the wholesale price is p dollars each. Find the equilibrium quantity and the equilibrium price for the GPS Navigators.
equilibrium quantity units
equilibrium price $

Click here to see answer by ikleyn(52776)

Question 1198798: 6. Determine the equation in vertex form for the following equation.
Vertex = (-1,6)
Points = (0,4)
7. Graph the equation in Desmos or Geogebra. Then answer the following questions. A person throws a ball straight up in the air. The height of a ball, h, in meters, can be modelled by h=-4.9t2+10.78t+1.071, where t is the time in seconds since the ball was thrown.
a) What is the maximum height the ball can reach?

b) How tall is the person that throws the ball up in the air?

c) If the thrower also wants to catch the ball, what time do you think that will occur at?

d) What is an appropriate domain and range for this situation? Explain why you chose these parameters.

Click here to see answer by mananth(16946)

Question 1170246: 1.a) Deduce that the total surface area S of a cylinder closed at both ends with height, H and base radius R is given by: S=2πR(R+H) where π is a constant.
b) Find the volume of S given that H =15.0m and R =5.0m (leaving your answer in terms of π)
c) Calculate the amount of water the tank can hold leaving your answer in terms of π.
d) Calculate the height (h) of a cuboid tank of cross-sectional area 25 metre cube which has the same capacity as the cylinder tank in (c) above.

Click here to see answer by mananth(16946)

Question 1202825: Find all solutions of the given system of equations using elimination. (If there is no solution, enter NO SOLUTION. If the system is dependent, express your answer in terms of t, where y = y(t).)
4x − 3y = 3
8x − 6y = 6
(x, y)= ( , )
Click here to see answer by josgarithmetic(39616)

Question 1202898: If xy>0 and xz<0, which of the following statements must be true?
I. x+y+z>0
II. xyz<0
III. xy+xz+yz>0
(A) I only
(B) II only
(C) III only
(D) II and III only
(E) None of the above
Click here to see answer by ikleyn(52776)

Question 1202971: A toy rocket is propelled upward at a speed of 96ft/sec by a machine that is 11 feet off the ground. The height h of the object after t seconds can be found using the function: h (t) = -16t^2 +96t + 11
When will the toy rocket hit the ground and what is the practical domain for this function?
Click here to see answer by 4419875(21)

Question 1202970: A toy rocket is propelled upward at a speed of 96ft/sec by a machine that is 11 feet off the ground. The height h of the object after t seconds can be found using the function: h (t) = -16t^2 +96t + 11
What is the height6 of the rocket after 3 seconds and when will the toy rocket reach the height of 122 feet?
Click here to see answer by ikleyn(52776)

Question 1202988: If A, B, and C are different digits in the addition problem below and A < B BC
+BC
1AB
Click here to see answer by greenestamps(13198)

Question 1203091: For the topic Linear equations inequalities create two unknowns (for example 10x+4y=72 and 4x+8y=48) but the intercept must be x=1 and y=19 or (1,19)
Click here to see answer by Theo(13342)

Question 1203094: for the topic Linear equations inequalities create a two unknowns (for example 10x+4y=72 and 4x+8y=48) but the intercept mustbe (1,19) or the x is equal to 1 and the y=19
Click here to see answer by ikleyn(52776)

Question 1203160: How do I go about setting up this equation?
2 trains are a mile and a 1/2 apart
A is traveling at 3/4ths the speed of train B
they'll collide in 4 1/2 minutes
how fast is each train going
Thanks in advance.
Click here to see answer by Alan3354(69443)

Question 1202814: The Unique Gifts catalog lists a "super loud and vibrating alarm clock." Their records indicate the following information on the relation of monthly supply and demand quantities to the price of the clock.
Demand Supply Price
166 131 $34
146 181 $42
Use this information to find the following.
(a) points on the demand linear equation
(x, p) =( ) (smaller x-value)
(x, p) =( ) (larger x-value)

points on the supply linear equation
(x, p) =( )(smaller x-value)
(x, p) =( )(larger x-value)

(b) the demand equation p
p =
(c) the supply equation p
p =

(d) the equilibrium quantity and price
Equilibrium occurs when the price of the clock is $________ and the quantity is _________.
Click here to see answer by jekoishun(6)

Question 1203286: how long does it take to fill a reservoir with the intake pipes a and b, if the reservoir can be filled by a alone in 5 days and by b alone in 3 days
Click here to see answer by ikleyn(52776)

Question 1203359: 14+5/7x-20=4(1/7x-1)
solve for x
Click here to see answer by josgarithmetic(39616)

Question 1203387: Yazmin noticed her favorite workout tops hereon sale for 6.00 off the original price. She purchased 4 of the tops and spent a total of 51.80. Write and solve an equation to determine x, the original price.
Click here to see answer by ikleyn(52776)

Question 1203395: ax+ b = c solve for x

Click here to see answer by math_tutor2020(3816)

Question 1203396: h=H +v(v/g)-(1/2)g(v/g)^2
solve for v
Click here to see answer by MathLover1(20849)

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, 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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