Tutors Answer Your Questions about Miscellaneous Word Problems (FREE)
Question 1031819: The length of a particular rectangle is 8 inches more than 2 times its width. A new rectangle is formed by tripling the width. The area is 30 square inches more than the area of original rectangle. Find the dimensions of the original rectangle.
Click here to see answer by ikleyn(53618)   |
Question 1210578: A standard 55 gallon drum is holding oil. A portion of the oil is removed. A stick with inch measurements is placed in the drum. The remaining level is 2 7/8 inches. Determine amount (gallons) remaining in drum.
Check my calculations, please.
Dimensions:
Diameter; 22.5"
Height; 33.5"
Drum is cylindrical, and standing vertical.
Volume formula; pi * r^2 * h.
3.1416 * 16.75 * 16.75 * 2 7/8 (2.875) = 2534.06 cu. in.
2534.06 / 231 = 10.969 = 11 gal.
Where am I correct ? Answer given is less.
Click here to see answer by ikleyn(53618) |
Question 1210578: A standard 55 gallon drum is holding oil. A portion of the oil is removed. A stick with inch measurements is placed in the drum. The remaining level is 2 7/8 inches. Determine amount (gallons) remaining in drum.
Check my calculations, please.
Dimensions:
Diameter; 22.5"
Height; 33.5"
Drum is cylindrical, and standing vertical.
Volume formula; pi * r^2 * h.
3.1416 * 16.75 * 16.75 * 2 7/8 (2.875) = 2534.06 cu. in.
2534.06 / 231 = 10.969 = 11 gal.
Where am I correct ? Answer given is less.
Click here to see answer by timofer(144) |
Question 1210578: A standard 55 gallon drum is holding oil. A portion of the oil is removed. A stick with inch measurements is placed in the drum. The remaining level is 2 7/8 inches. Determine amount (gallons) remaining in drum.
Check my calculations, please.
Dimensions:
Diameter; 22.5"
Height; 33.5"
Drum is cylindrical, and standing vertical.
Volume formula; pi * r^2 * h.
3.1416 * 16.75 * 16.75 * 2 7/8 (2.875) = 2534.06 cu. in.
2534.06 / 231 = 10.969 = 11 gal.
Where am I correct ? Answer given is less.
Click here to see answer by josgarithmetic(39734) |
Question 1154860: Raj has a party length submarine sand which of 59 inches. He want to cut into three pieces
so that the large piece is 5 inches longer than the middle piece and the shortest piece
is 9 inches shorter than the middle piece. How long should each piece of sandwich be?
Click here to see answer by ikleyn(53618) |
Question 1154861: Dr. Don offers tutoring service for college students. He charges $40 as a fixed rate for the first hour plus $20 for each additional hour. What is the minimum and maximum number of hours of tutoring a student can get if he or she can afford to spend between $140 and $200? ( express answer as an inequality)
Click here to see answer by ikleyn(53618) |
Question 1164643: The data recorded in following Table 1 shows the length of medical checkup conducted by a health & safety team, in meters.
20 25 33 38 39 41 21
28 33 32 38 41 47 49
59 60 31 38 48 36 60
Required:
a) Construct frequency distribution with number of classes = 5.
i. Class intervals ii. Mid points
iii. Class boundaries iv. Frequency
v. Cumulative frequency
b) Find the mean and median of the minutes.
c) Find standard deviation also comment on the result.
d) Sketch histogram and frequency polygon
Click here to see answer by ikleyn(53618) |
Question 1164636: A Manufacturer of microcomputers produces three different models as shown in Table 2. The following summarizes wholesale prices, material cost per unit, and labor cost per unit.Annual fixed cost are $25 million.
Model 1 Model 2 Model 3
Wholesale price/unit 500 1000 1500
Material Cost / unit 175 400 750
Labor cost / unit 100 150 225
Required:
i. Determine a joint revenue function for sales of the three different microcomputer models
ii. Determine the annual costs function for the manufacturing the three models.
iii. Determine the profit function for sales of the three models?
Click here to see answer by ikleyn(53618) |
Question 441209: Bayside insurance offers two health plans. Under plan A, Giselle would have to pay the first $160 of her medical bills, plus 25% of the rest. Under plan B, Giselle would pay the first $240, but only 20% of the rest, for what amount of medial bills will plan B save Giselle money? Assume she has over $240 in bills
Click here to see answer by ikleyn(53618) |
Question 436704: A plane flies 1500 miles against the wind in 3 hours and 45 minutes. The return trip with the wind takes 3 hours. Assume that the wind speed stays constant. Find the speed of the wind and the speed of the airplane with no wind.
Click here to see answer by greenestamps(13295)  |
Question 436704: A plane flies 1500 miles against the wind in 3 hours and 45 minutes. The return trip with the wind takes 3 hours. Assume that the wind speed stays constant. Find the speed of the wind and the speed of the airplane with no wind.
Click here to see answer by ikleyn(53618) |
Question 729652: Can you help me figure out the proper equations for the problems listed?
The perimeter of a rectangular piece of poster board is 96 in. The length is 8 in. greater than the width. Find the width and the length.
21. Joseph allocates $800 to hotel stays. This represents 36% of his expense budget. Find his expense budget.
22. A 19-ft board is cut into two pieces. One piece is 3 ft longer than the other. How long are the pieces?
23. Money is invested in a savings account at 5% simple interest. After 1 year, there is $262.50 in the account. How much was originally invested?
24. When 18 is subtracted from four times a certain number, the result is the original number. What is the number?
25. The second angle of a triangle is three times as large as the first. The third angle is 20 degrees less than the sum of the other two angles. Find the measure of the first angle.
Click here to see answer by mananth(16949)  |
Question 729652: Can you help me figure out the proper equations for the problems listed?
The perimeter of a rectangular piece of poster board is 96 in. The length is 8 in. greater than the width. Find the width and the length.
21. Joseph allocates $800 to hotel stays. This represents 36% of his expense budget. Find his expense budget.
22. A 19-ft board is cut into two pieces. One piece is 3 ft longer than the other. How long are the pieces?
23. Money is invested in a savings account at 5% simple interest. After 1 year, there is $262.50 in the account. How much was originally invested?
24. When 18 is subtracted from four times a certain number, the result is the original number. What is the number?
25. The second angle of a triangle is three times as large as the first. The third angle is 20 degrees less than the sum of the other two angles. Find the measure of the first angle.
Click here to see answer by josgarithmetic(39734) |
Question 729652: Can you help me figure out the proper equations for the problems listed?
The perimeter of a rectangular piece of poster board is 96 in. The length is 8 in. greater than the width. Find the width and the length.
21. Joseph allocates $800 to hotel stays. This represents 36% of his expense budget. Find his expense budget.
22. A 19-ft board is cut into two pieces. One piece is 3 ft longer than the other. How long are the pieces?
23. Money is invested in a savings account at 5% simple interest. After 1 year, there is $262.50 in the account. How much was originally invested?
24. When 18 is subtracted from four times a certain number, the result is the original number. What is the number?
25. The second angle of a triangle is three times as large as the first. The third angle is 20 degrees less than the sum of the other two angles. Find the measure of the first angle.
Click here to see answer by ikleyn(53618) |
Question 729564: I am trying to formulate an LP model for this problem and I am very lost.
Kiriakis Electronics produces three products.
Each product must be processed on each of three types of machines.
When a machine is in use, it must be operated by a worker.
The time (in hours) required to process each product on each machine and the profit associated with each product are shown in Table 59.
At present, five type 1 machines, three type 2 machines, and four type 3 machines are available.
The company has 10 workers available and must determine how many workers to assign to each machine.
The plant is open 40 hours per week, and each worker works 35 hours per week.
Formulate an LP that will enable Kiriakis to assign workers to machines in a
way that maximizes weekly profits.
Note: A worker need not spend the entire work week operating a single machine.
Click here to see answer by ikleyn(53618) |
Question 1187361: The human body contains approx. 30 trillion red blood cells. If these cells were placed tightly together, they would fit into a cube approx. 5 in. on each edge.
1) Determine outside surface of cube in sq. yds.
2)If the outside surface of cube was divided into 30 trillion pieces, determine outside surface in sq. yds.
Unsure how to solve.
Click here to see answer by ikleyn(53618) |
Question 731964: the tickets in a raffle are numbered 1, 2, 3, and so on. The Price of a ticket is the number of cents
equal to the number of the ticket. If the raffled article cost $100, what is the least number of tickets
that must be sold so that those conducting the raffle will not lose money?
Click here to see answer by ikleyn(53618) |
Question 1158791: A spacecraft can attain a stable orbit 300 kilometers above Earth if it reaches a velocity of 7.7 kilometers per second. The formula for a rocket's maximum velocity v in kilometers per second is v=-0.0098t+c ln R, where t is the firing time in seconds, c is the velocity of the exhaust in kilometers per second, and R is the ratio of the mass of the rocket filled with fuel to the mass of the rocket without fuel. Find the velocity of a spacecraft whose booster rocket has a mass ratio of 24, an exhaust velocity of 2.8 km/s, and a firing time of 20 s. Can the spacecraft achieve a stable orbit 300 km above Earth?
Click here to see answer by ikleyn(53618) |
Question 741761: How much money, invested at an interest rate of r% per year compounded continuously, will amount to A dollars after t years? (Round your answer to the nearest cent.)
A = 300,000, r = 3.2, t = 14
I've gotten $191671.4 as the answer but it's counted wrong
Click here to see answer by MathTherapy(10719)  |
Question 741761: How much money, invested at an interest rate of r% per year compounded continuously, will amount to A dollars after t years? (Round your answer to the nearest cent.)
A = 300,000, r = 3.2, t = 14
I've gotten $191671.4 as the answer but it's counted wrong
Click here to see answer by ikleyn(53618) |
Question 663902: At the 2006 Winter Olympics in Italy, the top medal winner was Germany, which won a total of 29 medals. Germany won 1 more silver medal than gold and 5 more gold medals than bronze. Find the number of each type of medal won. How do I solve this?
Click here to see answer by ikleyn(53618) |
Question 1210415: A neon bulb has the following description:
Current: 1.25 milliamperes.
0.1 watts.
Determine applied voltage.
Check my calculations, please.
Using the following data:
P = power (watts).
I = current (amperes).
E = voltage (volts).
Converting 1.25 milliamperes to amperes (amps.) 1.25 * 1000 = 1250.
P / I
0.1 / 1250 = 0.00008 volts.
Click here to see answer by ikleyn(53618) |
Question 1167599: Find an explicit formula in terms of n for a sequence
b0, b1, b2,
that satisfies
bk = 2b_k − 1 − 10b_k − 2 for each integer k ≥ 2
with initial conditions
b0 = 5
and
b1 = 5.
(Your answer will involve complex numbers.)
bn = for every integer n ≥ 0
Discrete math homework question
Click here to see answer by CPhill(2189)  |
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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, 30241..30285, 30286..30330, 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