Questions on Algebra: Quadratic Equation answered by real tutors!

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Question 1203201: A Metal Sleeve Of Length 20 Cm Has Rectangular Cross-Section 10 Cm By 8 Cm. The Metal Has Uniform Thickness, Xcm, Along The Sleeve, And The Total Volume Of metal in the sleeve is 495cm3. Derive the equation 16x^2-144x+99=0.

Click here to see answer by ikleyn(52748) About Me 
Question 1203470: A college is trying to determine a nickname for its sports
teams, and 4 different nicknames have been proposed.
4,783 people are all going to vote, and the nickname that
receives the highest number of votes will win.
What is the smallest number of votes that a nickname could
receive and be declared the winner?
What I did was divide 4783/4 and I got 1195.75 and I rounded up so therefore it is 1196. My teacher has the correct answer listed as 1197. What did I do wrong?
Click here to see answer by MathLover1(20849) About Me 
Question 1203470: A college is trying to determine a nickname for its sports
teams, and 4 different nicknames have been proposed.
4,783 people are all going to vote, and the nickname that
receives the highest number of votes will win.
What is the smallest number of votes that a nickname could
receive and be declared the winner?
What I did was divide 4783/4 and I got 1195.75 and I rounded up so therefore it is 1196. My teacher has the correct answer listed as 1197. What did I do wrong?
Click here to see answer by ikleyn(52748) About Me 
Question 1203470: A college is trying to determine a nickname for its sports
teams, and 4 different nicknames have been proposed.
4,783 people are all going to vote, and the nickname that
receives the highest number of votes will win.
What is the smallest number of votes that a nickname could
receive and be declared the winner?
What I did was divide 4783/4 and I got 1195.75 and I rounded up so therefore it is 1196. My teacher has the correct answer listed as 1197. What did I do wrong?
Click here to see answer by greenestamps(13195) About Me 
Question 1203479: Please help me solve this,(4x^2_9)divide by (2x+3)
Click here to see answer by MathLover1(20849) About Me 
Question 1203479: Please help me solve this,(4x^2_9)divide by (2x+3)
Click here to see answer by josgarithmetic(39613) About Me 
Question 1203479: Please help me solve this,(4x^2_9)divide by (2x+3)
Click here to see answer by ikleyn(52748) About Me 
Question 1203479: Please help me solve this,(4x^2_9)divide by (2x+3)
Click here to see answer by math_tutor2020(3816) About Me 
Question 1203499: The entire freshman class of Wannago High School is going on a field trip. The number of buses needed is a function of the number of people going. The school bus company has buses that can hold 36 passengers, and there will be two adults per bus.
How many buses will be needed for 232 students?
Click here to see answer by ikleyn(52748) About Me 
Question 1203515: U-Save Rental Car company rents vans at a daily rate of $65 plus 26 cents per mile. Sharon rents a van to deliver flowers to her customers, and she has a daily budget of $83.
To stay within her budget, what is the maximum number of miles she can drive in a day?
Click here to see answer by ikleyn(52748) About Me 
Question 1203515: U-Save Rental Car company rents vans at a daily rate of $65 plus 26 cents per mile. Sharon rents a van to deliver flowers to her customers, and she has a daily budget of $83.
To stay within her budget, what is the maximum number of miles she can drive in a day?
Click here to see answer by greenestamps(13195) About Me 
Question 1203540: Two different gasohol mixtures are available. One contains 12% ethanol and the other 5% ethanol. How much of each should be mixed to obtain 14 gal of ethanol having 10% alcohol?
Click here to see answer by ikleyn(52748) About Me 
Question 1203581: If four loaves of bread costs $8, a loaf of bread and a bag of oranges costs $7, and a loaf of bread, two bags of oranges and a basket of apples costs $17, what is the cost of a basket of apples?
Click here to see answer by MathLover1(20849) About Me 
Question 1203581: If four loaves of bread costs $8, a loaf of bread and a bag of oranges costs $7, and a loaf of bread, two bags of oranges and a basket of apples costs $17, what is the cost of a basket of apples?
Click here to see answer by ikleyn(52748) About Me 
Question 1203581: If four loaves of bread costs $8, a loaf of bread and a bag of oranges costs $7, and a loaf of bread, two bags of oranges and a basket of apples costs $17, what is the cost of a basket of apples?
Click here to see answer by josgarithmetic(39613) About Me 
Question 1203587: A projectile is launched from ground level with an initial velocity of v0 feet per second. Neglecting air​ resistance, its height in feet t seconds after launch is given by s=-16t^2+v0t . Find the​ time(s) that the projectile will​ (a) reach a height of 288 ft and​ (b) return to the ground when v0=144 feet per second.
​
(b) The projectile returns to the ground after
  
enter your response here ​second(s).
Click here to see answer by math_tutor2020(3816) About Me 
Question 1203836: Given the following sets:
U = {2, 4, 5, 6, 9, 10, 12, 16} A = {4, 5, 10, 12}
B = {2, 4, 9, 12, 16}
Find:
n (A U B)
Do not list the elements.
(I'm very confused on this problem here)
Click here to see answer by MathLover1(20849) About Me 
Question 1203836: Given the following sets:
U = {2, 4, 5, 6, 9, 10, 12, 16} A = {4, 5, 10, 12}
B = {2, 4, 9, 12, 16}
Find:
n (A U B)
Do not list the elements.
(I'm very confused on this problem here)
Click here to see answer by math_tutor2020(3816) About Me 
Question 1203840: The Sport Shop in town sells bicycles and tricycles.
While looking around, Alyson counted 133 wheels and 45 total cycles.
How many tricycles are in the store?
While you may find the number of bicycles, do not include that in your answer.
Click here to see answer by josgarithmetic(39613) About Me 
Question 1203839: A streaming music service charges a low $4 monthly fee, but charges an additional 5 cents per song.
Lindy wants to pay a maximum of $25 each month.
How many songs will she be able to listen to each month? Answer with a whole number.
Click here to see answer by josgarithmetic(39613) About Me 
Question 1203838: A music teacher is able to arrange all of the chairs in the practice room into 2 or more rows that contain the same number of chairs.
Which of the following numbers can *not* be the total number of chairs in the practice room?
Click here to see answer by MathLover1(20849) About Me 
Question 1203837: A survey was conducted using 120 people. 52 of the people said they liked apples and 27 said they liked grapes. 6 people said they liked both apples and grapes.
How many of the people liked neither of these two types of fruit?
Click here to see answer by math_tutor2020(3816) About Me 
Question 1203837: A survey was conducted using 120 people. 52 of the people said they liked apples and 27 said they liked grapes. 6 people said they liked both apples and grapes.
How many of the people liked neither of these two types of fruit?
Click here to see answer by MathLover1(20849) About Me 
Question 1203879: Last year at East High School, a survey showed that 79 students played soccer or basketball, 30 played soccer, and 14 played both.

How many of the students played basketball?
i know the answer is 63 due to getting the problem incorrect but how would i go ahead and solve this problem?
Click here to see answer by MathLover1(20849) About Me 
Question 1203879: Last year at East High School, a survey showed that 79 students played soccer or basketball, 30 played soccer, and 14 played both.

How many of the students played basketball?
i know the answer is 63 due to getting the problem incorrect but how would i go ahead and solve this problem?
Click here to see answer by ikleyn(52748) About Me 
Question 1203881: A streaming music service charges a low $4 monthly fee, but charges an additional 5 cents per song.
Lindy wants to pay a maximum of $25 each month.
How many songs will she be able to listen to each month? Answer with a whole number.
I am not sure where to start for this problem.
Click here to see answer by ikleyn(52748) About Me 
Question 1203885: please help me solve this equation
2%2Fr-1%2B4%2Fr=5=7
Click here to see answer by mananth(16946) About Me 
Question 1203885: please help me solve this equation
2%2Fr-1%2B4%2Fr=5=7
Click here to see answer by josgarithmetic(39613) About Me 
Question 1203885: please help me solve this equation
2%2Fr-1%2B4%2Fr=5=7
Click here to see answer by ikleyn(52748) About Me 
Question 1203905: A music teacher is able to arrange all of the chairs in the practice room into 2 or more rows that contain the same number of chairs.
Which of the following numbers can *not* be the total number of chairs in the practice room?
19
21
25
15
Click here to see answer by ikleyn(52748) About Me 
Question 1203905: A music teacher is able to arrange all of the chairs in the practice room into 2 or more rows that contain the same number of chairs.
Which of the following numbers can *not* be the total number of chairs in the practice room?
19
21
25
15
Click here to see answer by MathTherapy(10549) About Me 
Question 1203904: The Sport Shop in town sells bicycles and tricycles.
While looking around, Alyson counted 133 wheels and 45 total cycles.
How many tricycles are in the store?
While you may find the number of bicycles, do not include that in your answer.
I know the answer is 43 but how?
Click here to see answer by mananth(16946) About Me 
Question 1203904: The Sport Shop in town sells bicycles and tricycles.
While looking around, Alyson counted 133 wheels and 45 total cycles.
How many tricycles are in the store?
While you may find the number of bicycles, do not include that in your answer.
I know the answer is 43 but how?
Click here to see answer by josgarithmetic(39613) About Me 
Question 1203904: The Sport Shop in town sells bicycles and tricycles.
While looking around, Alyson counted 133 wheels and 45 total cycles.
How many tricycles are in the store?
While you may find the number of bicycles, do not include that in your answer.
I know the answer is 43 but how?
Click here to see answer by MathTherapy(10549) About Me 
Question 1203904: The Sport Shop in town sells bicycles and tricycles.
While looking around, Alyson counted 133 wheels and 45 total cycles.
How many tricycles are in the store?
While you may find the number of bicycles, do not include that in your answer.
I know the answer is 43 but how?
Click here to see answer by greenestamps(13195) About Me 
Question 1204097: How do you convert the vertex form y=4(3x-1)^2+8 back into standard form?
Click here to see answer by greenestamps(13195) About Me 
Question 1204097: How do you convert the vertex form y=4(3x-1)^2+8 back into standard form?
Click here to see answer by josgarithmetic(39613) About Me 
Question 1204096: how do you turn the vertex form; y=4(3x-1)^2+8 back into standard form?
Click here to see answer by math_tutor2020(3816) About Me 
Question 1204133: Solve for R:
2piR^2 + 2piRH - S = 0
Click here to see answer by MathLover1(20849) About Me 
Question 1204132: Solve for R:
2(pi)R^2 + 2(pi)RH - S = 0
I have the answer in the textbook, but I can't seem to find how it was derived. I used the Quadratic Formula but the process got all convoluted and I kept getting the wrong answer.
Thank you!
Click here to see answer by MathLover1(20849) About Me 
Question 1204154: If a and h are real numbers, find the following values for the given function.
f(x) = x2 − x + 5
(a)
f(a)
(b)
f(−a)

(c)
−f(a)

(d)
f(a + h)


(e)
f(a) + f(h)
(f)
f(a + h) − f(a)
h
, h ≠ 0
Click here to see answer by mananth(16946) About Me 
Question 1204229: If a line has an x-intercept at x=4 and a y-intercept at y=-2 find its equation in the form y=mx+b.
Click here to see answer by ikleyn(52748) About Me 
Question 1204229: If a line has an x-intercept at x=4 and a y-intercept at y=-2 find its equation in the form y=mx+b.
Click here to see answer by math_tutor2020(3816) About Me 
Question 1204229: If a line has an x-intercept at x=4 and a y-intercept at y=-2 find its equation in the form y=mx+b.
Click here to see answer by greenestamps(13195) About Me 
Question 1204240: The cost to rent a rug cleaner for d days is given by the polynomial 10.90*d+19. Find to the cost to rent the cleaner for 3 days.
The cost to rent the rug cleaner for 3 days is
Click here to see answer by mananth(16946) 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, 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