Questions on Algebra: Equations answered by real tutors!

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Question 1204516: The school drama club wants to organize an event at the local community theatre. However, it will cost $325 to rent out the theatre for the night, plus it costs $35
per seat. If they sell every seat, then each person will pay a total of $40
, which includes the rental costs and their seat. Write and solve an equation to determine the answer to the following question: How many seats are in the theatre?
A)40 seats
B)55 seats
C)65 seats
D)80 seats

Click here to see answer by josgarithmetic(39617) About Me 

Question 1204523: As an instructor at a gym, Kato earns $15 per hour. He is planning to
deposit 40% of his hourly earnings into his savings account. Knowing that
he has $362 in his savings account, Kato is trying to determine how many
hours he must work to have $800 in his savings account.Determine the number of hours Kato must work to have $800 in his savings account?

Click here to see answer by MathLover1(20849) About Me 
Question 1204523: As an instructor at a gym, Kato earns $15 per hour. He is planning to
deposit 40% of his hourly earnings into his savings account. Knowing that
he has $362 in his savings account, Kato is trying to determine how many
hours he must work to have $800 in his savings account.Determine the number of hours Kato must work to have $800 in his savings account?

Click here to see answer by mananth(16946) About Me 
Question 1204523: As an instructor at a gym, Kato earns $15 per hour. He is planning to
deposit 40% of his hourly earnings into his savings account. Knowing that
he has $362 in his savings account, Kato is trying to determine how many
hours he must work to have $800 in his savings account.Determine the number of hours Kato must work to have $800 in his savings account?

Click here to see answer by ikleyn(52781) About Me 

Question 1204556: Solve for a
y-b=m(x-a)

Click here to see answer by mananth(16946) About Me 
Question 1204556: Solve for a
y-b=m(x-a)

Click here to see answer by Alan3354(69443) About Me 

Question 1204558: r =ht^2/2− 2vt − 2c. Solve the equation for v.
Click here to see answer by mananth(16946) About Me 

Question 1204619: Given the set {1,2,3,5,8,13,21,34} which integers between 30 and 50 cannot be written as a number from the set on it’s own, or as the sum of either two or three numbers from the given set.
Click here to see answer by ikleyn(52781) About Me 
Question 1204619: Given the set {1,2,3,5,8,13,21,34} which integers between 30 and 50 cannot be written as a number from the set on it’s own, or as the sum of either two or three numbers from the given set.
Click here to see answer by math_tutor2020(3817) About Me 
Question 1204619: Given the set {1,2,3,5,8,13,21,34} which integers between 30 and 50 cannot be written as a number from the set on it’s own, or as the sum of either two or three numbers from the given set.
Click here to see answer by greenestamps(13200) About Me 

Question 1204637: angela has more money than carla. If angela gave carla 20$, they would have the same amount. If carla gave angela 22$, angela would have twice the amount as carla. How much does each person have? Form and use equations to find your answer.
Click here to see answer by ikleyn(52781) About Me 
Question 1204637: angela has more money than carla. If angela gave carla 20$, they would have the same amount. If carla gave angela 22$, angela would have twice the amount as carla. How much does each person have? Form and use equations to find your answer.
Click here to see answer by mananth(16946) About Me 
Question 1204637: angela has more money than carla. If angela gave carla 20$, they would have the same amount. If carla gave angela 22$, angela would have twice the amount as carla. How much does each person have? Form and use equations to find your answer.
Click here to see answer by greenestamps(13200) About Me 

Question 1204667: A plane has 428 passengers and crew and flys non stop for 6000 km.
The plane uses 108 000 litres of fuel during the flight.
What is the rate at which the plane uses fuel per person per 100 km?
A. 3.6
B. 4.2
C. 5.3
D 6.3

Click here to see answer by ikleyn(52781) About Me 

Question 1204676: When two identical air pucks with repelling magnets are held together on an air table and released, they end up moving in opposite directions at the same speed, v. Assume the mass of one of the pucks is doubled and the procedure is repeated.
1. From Newton's third law, derive an equation that finds how the final speed of the double-mass puck compares with the speed of the single puck.
2. Calculate the speed of the double-mass puck if the single puck moves away at 0.36m/s.

Click here to see answer by mananth(16946) About Me 
Question 1204676: When two identical air pucks with repelling magnets are held together on an air table and released, they end up moving in opposite directions at the same speed, v. Assume the mass of one of the pucks is doubled and the procedure is repeated.
1. From Newton's third law, derive an equation that finds how the final speed of the double-mass puck compares with the speed of the single puck.
2. Calculate the speed of the double-mass puck if the single puck moves away at 0.36m/s.

Click here to see answer by ikleyn(52781) About Me 

Question 1204747: A man ordered 4 times as many boxes of ballpoint pens as boxes of​ felt-tip pens. Ballpoint pens cost ​$4.45 per​ box, and​ felt-tip pens cost ​$3.42 If the​ man's order of pens totaled ​$84.88​, how many boxes of each type of pen did he​ buy?
Click here to see answer by ikleyn(52781) About Me 

Question 1204779: a street light is at the top of a 17ft tall pole. a woman 6ft tall walks away from th epole with a speed of 8ft/sec along a straight path how fast is the tip a shadow moving when she is 40 ft from the base of the pole?
Click here to see answer by ikleyn(52781) About Me 

Question 1204792: Find the value of a if 7^a -7^a-5 = 117642√7
Click here to see answer by math_tutor2020(3817) About Me 
Question 1204792: Find the value of a if 7^a -7^a-5 = 117642√7
Click here to see answer by ikleyn(52781) About Me 

Question 1204813: x^3=2
Click here to see answer by MathLover1(20849) About Me 
Question 1204813: x^3=2
Click here to see answer by ikleyn(52781) About Me 

Question 1204895: Katy, Mary and Emma make 43 cakes in total. The number of cakes that Mary makes is 7 less than that Katy makes and 3 less than three times the number of cakes that Emma makes. Find the number of cakes that each of them makes.
Click here to see answer by mananth(16946) About Me 

Question 1204920: how old am i if 500 reduced by 3 times my get is 374

Click here to see answer by mananth(16946) About Me 
Question 1204920: how old am i if 500 reduced by 3 times my get is 374

Click here to see answer by ikleyn(52781) About Me 

Question 1204933: Weston wants to buy a one year membership to a golf course.Rolling Hills Golf course charges a base fee of $200 and an additional $15 per round of golf. A majestic view course changes a base fee of $350 and an additional 10$ per round of golf. which golf course should he choose if he plans to play more than 30 rounds of golf?

Click here to see answer by Theo(13342) About Me 

Question 1204943: How is (-3/4(-8a)+(-3/4)(-12) equivalent to both -3/4(-8a-12) and 6a+9?

Click here to see answer by ikleyn(52781) About Me 
Question 1204943: How is (-3/4(-8a)+(-3/4)(-12) equivalent to both -3/4(-8a-12) and 6a+9?

Click here to see answer by MathLover1(20849) About Me 
Question 1204943: How is (-3/4(-8a)+(-3/4)(-12) equivalent to both -3/4(-8a-12) and 6a+9?

Click here to see answer by greenestamps(13200) About Me 
Question 1204943: How is (-3/4(-8a)+(-3/4)(-12) equivalent to both -3/4(-8a-12) and 6a+9?

Click here to see answer by math_tutor2020(3817) About Me 

Question 1204956: a jet plane traveling at 570 mph overtakes a propellee deiven plane that has a 2 hr head start the propeller deiven plane is traveling at 190mph 
Click here to see answer by josgarithmetic(39617) About Me 
Question 1204956: a jet plane traveling at 570 mph overtakes a propellee deiven plane that has a 2 hr head start the propeller deiven plane is traveling at 190mph 
Click here to see answer by greenestamps(13200) About Me 

Question 1204963: I realize that this isn't really an equation question, but I don't know what catigory it is. This question has two parts.
This is the question? First, answer Part A. Then, answer Part B.
Part A
DOWNLOADS Hannah wants to download songs. She researches the price to download songs from Site F. Hannah wrote the function f(x)=x,
which represents the cost in dollars for x songs downloaded that cost $1.00 each.

a. Hannah researches the price to download songs from Site G. Write a function g(x) to represent the cost in dollars for x songs downloaded that cost $1.29 each.
Multiple choice question.
A)
g(x)=1.29x

B)
g(x)=129x

C)
g(x)=1.29+x

D)
g(x)=1.29−x
Part B
b. Describe the graph of g(x) compared to the graph of f(x).
Multiple choice question.
A)
The graph of g(x) is the graph of f(x)=x
stretched vertically by a factor of 129.

B)
The graph of g(x) is the graph of f(x)=x
compressed vertically by a factor of 1.29.

C)
The graph of g(x) is the graph of f(x)=x
stretched horizontally by a factor of 1.29.

D)
The graph of g(x) is the graph of f(x)=x
stretched vertically by a factor of 1.29.

Click here to see answer by math_tutor2020(3817) About Me 

Question 1205052: At a football game, a vender sold a combined total of 239 sodas and hot dogs. The number of sodas sold was 37 more than the number of hot dogs sold. Find the number of sodas sold and the number of hot dogs sold.
Click here to see answer by mananth(16946) About Me 

Question 1205103: The revenue function for a particular product is R(x)= x(4-0.0001x).How to Find the largest possible revenue.
to solve this do I just have to find the critical point and check if its the maximum point using the derivative?

Click here to see answer by ikleyn(52781) About Me 
Question 1205103: The revenue function for a particular product is R(x)= x(4-0.0001x).How to Find the largest possible revenue.
to solve this do I just have to find the critical point and check if its the maximum point using the derivative?

Click here to see answer by MathLover1(20849) About Me 
Question 1205103: The revenue function for a particular product is R(x)= x(4-0.0001x).How to Find the largest possible revenue.
to solve this do I just have to find the critical point and check if its the maximum point using the derivative?

Click here to see answer by math_tutor2020(3817) About Me 

Question 1205172: Find all possible solutions of the equation
𝑥^4 − 2𝑥^3 − 13𝑥^2 + 34𝑥 + 10 = 0,
given that 3 + 𝑖 is one of the roots. Here, 𝑖 = √−1

Click here to see answer by MathLover1(20849) About Me 
Question 1205172: Find all possible solutions of the equation
𝑥^4 − 2𝑥^3 − 13𝑥^2 + 34𝑥 + 10 = 0,
given that 3 + 𝑖 is one of the roots. Here, 𝑖 = √−1

Click here to see answer by greenestamps(13200) About Me 

Question 1205170: Find all possible solutions of the equation
𝑥^4 − 2𝑥^3 − 13𝑥^2 + 34𝑥 + 10 = 0,
given that 3 + 𝑖 is one of the roots. Here, 𝑖 = √−1.

Click here to see answer by ikleyn(52781) About Me 

Question 1205181: Consider the following system of linear equations
𝑥 + 3𝑦 + 2𝑧 - 𝑤 = −1
−3𝑥 − 7𝑦 + (𝑝 − 6)𝑧 + 2𝑤 = 1
2𝑥 + 𝑝^2𝑧 + 𝑝𝑤 = 𝑞^2
where 𝑝 and 𝑞 are real numbers.
Using Gaussian elimination, determine all possible values of 𝑝 and 𝑞 such that the system has no solution.

Click here to see answer by Edwin McCravy(20055) About Me 

Question 1205225: Most communities have a Sign Ordinance that limits the amount of signage that you use to advertise your business. Often this is computed by looking at factors such as highway frontage and size of your building.
Suppose that your sign is limited to 3600 square inches (width x height = 3600) . You want to build a sign that is aesthetically appealing to advertise your business. To be an aesthetically appealing sign you would want the width to be 2 times the height and you want the top and bottom margins to both be 4 inches each and the right and left margin to both be 12 inches each. The "Printable Region" would be the area inside these margins and this will be the area that you can use to advertise your business.

Click here to see answer by ikleyn(52781) About Me 
Question 1205225: Most communities have a Sign Ordinance that limits the amount of signage that you use to advertise your business. Often this is computed by looking at factors such as highway frontage and size of your building.
Suppose that your sign is limited to 3600 square inches (width x height = 3600) . You want to build a sign that is aesthetically appealing to advertise your business. To be an aesthetically appealing sign you would want the width to be 2 times the height and you want the top and bottom margins to both be 4 inches each and the right and left margin to both be 12 inches each. The "Printable Region" would be the area inside these margins and this will be the area that you can use to advertise your business.

Click here to see answer by josgarithmetic(39617) About Me 

Question 1205243: Given f(x) = 1/(x-5) and g(x)= √(x-2) Find (f o g) (18)?
Click here to see answer by MathLover1(20849) About Me 
Question 1205243: Given f(x) = 1/(x-5) and g(x)= √(x-2) Find (f o g) (18)?
Click here to see answer by ikleyn(52781) About Me 

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, 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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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, 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