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Question 1163839: A,B, and C make widgets. A alone needs 10 days. If A and B work together, they
need 6 days. B and C need 8 days. A,B, and C work together. when they finish,
A made 240 widgets more than C did. How many widgets did C make?
Click here to see answer by Edwin McCravy(20054)

Question 1163860: Part A
A leading firm requires a software for its internal use. The firm wants to evaluate whether it is less costly to have
its own programming staff and resources or to have programs developed by an external development firm. The
cost of both options are a function of the number of lines of code. After the mathematical analysis it has been
estimated that the in-house development will cost $1.75 per line of code. In addition, annual overhead costs for
supporting the program will be $35000. While Software developed outside the firm costs, on average, $2.5 per
line of code.
a) How many lines of codes per year make costs of the two options equal?

Click here to see answer by solver91311(24713)

Question 1163857: A company purchases cars for use by its executives. The purchase cost this year is $30,000. The cars are kept
for 3 years, after which they are expected to have a resale value of $8,000. If accountants use straight-line
depreciation, determine the function which describes the book value V as a function of the age of the car t.

Click here to see answer by solver91311(24713)

Question 1163858: The supply function qs = f (p) for a product is quadratic. Three points which lie on the supply function are (60,
2750), (70, 6000) and (80, 9750).
a) Determine the equation for the supply function

Click here to see answer by solver91311(24713)

Question 1163864: The bus fare in a city is $2.00 People who use the bus have the option of purchasing a monthly coupon book for $27.00 With the coupon book, the fare is reduced to $0.50. How many times must someone use the bus so that the total monthly cost without the coupon book is the same as the total monthly cost with the coupon book?
Click here to see answer by ikleyn(52754)

Question 1163828: Hi
Need some help with ripsnorter.
Set number of stars
1 43
2 46
3 50
4 53
5 57
6 60
Find in terms of n the expression for the number of stars in the set n if n is an even number.

Thanks
Click here to see answer by greenestamps(13195)

Question 1163877: Two balanced 4 sided-dice, each with faces labeled by 1, 2, 3 and4.
if Ali plays a game where he tosses two balanced 4 sided-dice
He wins 3 points if the sum is 6.
He wins 2 points if the sum is greater than 6.
He loses 1 point if the sum is less than 6.
Find the probability distribution sum.

Click here to see answer by solver91311(24713)

Question 1163859: A leading manufacturer of video games is about to introduce four new games. The accompanying table
summarizes price and cost data, Combined fixed costs equal $600,000. A marketing research study predicts that
for each unit sold of Diablo, 2 units of Call of Duty: Modern Warfare, 3 units of Sekiro and 4 units of Starcraft II
will be sold.
Games
Diablo Call of Duty Sekiro Starcraft II
Selling Price (in dollars) 55 48 33 22
Variable cost/unit (in dollars) 22 17 12 11
a) How many product mix units must be sold to break even?

Click here to see answer by solver91311(24713)

Question 1163795: A leading manufacturer of video games is about to introduce four new games. The accompanying table
summarizes price and cost data, Combined fixed costs equal $600,000. A marketing research study predicts that
for each unit sold of Diablo, 2 units of Call of Duty: Modern Warfare, 3 units of Sekiro and 4 units of Starcraft II
will be sold.
Games
Diablo Call of Duty Sekiro Starcraft II
Selling Price (in dollars) 55 48 33 22
Variable cost/unit (in dollars) 22 17 12 11
a) How many product mix units must be sold to break even?
b) How does it translate into sales of individual games?
Click here to see answer by solver91311(24713)

Question 1163793: The supply and demand functions for a product are 𝑞𝑠 = 𝑝
2 − 300 𝑎𝑛𝑑 𝑞𝑑 = 𝑝
2 − 30𝑝 + 2200 . Determine the
market equilibrium price and quantity.

Click here to see answer by solver91311(24713)

Question 1163890: A pool has 1 intake pipe and 3 drainage pipes. It takes 20 minutes to fill up the pool. If 1 drainage pipe is used, it takes 45 minutes to drain the pool. Now 2/3 of the pool is filled. If all 4 pipes are turned on, how long does it take to have 2/5 of the pool filled?
Click here to see answer by greenestamps(13195)

Question 1163899: 2 pipes fill up a pool. When both are used to fill water, it takes 1.2 hours to fill up the pool. If one is intake pipe and one is drainage pipe, it takes 6 hours to fill up the pool. How long does each pipe alone need to fill up?
Click here to see answer by ikleyn(52754)

Question 1163944: A clock is 4 minutes slower than normal time per hour. You set it to be accurate at 8 AM. When this clock hits 12 at noon exactly, what time is it?
Click here to see answer by ikleyn(52754)

Question 1163951: And oil tanker can be emptied by the main pump in five hours in auxiliary pump can empty the same tanker in 11 hours if the main pump is started at 5 PM when should the auxiliary pump he started so that the tanker is emptied by 9 PM
Click here to see answer by ikleyn(52754)

Question 1163942: there is a clock. The long and short hands are on a straight line. How long does it take for the 2 hands to overlap.
Click here to see answer by ikleyn(52754)

Question 1163952: 2 people walk towards each other on a road. It takes the first person 2 hours to walk the road, it takes the 2nd person 3 hours to walk the road. When they meet, the first person walked 4 and 4/5 of a mile more than the 2nd person. How long is the road?
Click here to see answer by htmentor(1343)

Question 1163943: Felix comes home at 6 PM every day. One day, he did not come home at 6 PM, Billy waited from 6 till the long hand of the clock was perpendicular to the short hand the 2nd time, Felix came home. When did Felix come home?
Click here to see answer by solver91311(24713)

Question 1163969: A certain type of gutter comes in 7-foot, 9-foot, and 11-foot sections. How many different lengths can be formed using three sections of gutter?
Click here to see answer by greenestamps(13195)

Question 1163983: What is the result of graphing the equation (x − h)2 + (y − k)2 = r2 ?
Click here to see answer by Alan3354(69443)

Question 1163981: Representing one unit by at least five squares on your graph paper, draw the unit circle, which is centered at the origin and goes through point A = (1, 0). Use a protractor to mark the third-quadrant point P on the circle for which arc AP has angular size 215 degrees. Estimate the coordinates of P, reading from your graph paper. Notice that both are negative numbers. Use a calculator to find the cosine and sine values of a 215-degree angle. Explore further to explain why sine and cosine are known as circular functions.
Click here to see answer by Edwin McCravy(20054)

Question 1164005: The perimeter of a 2 by 4 board cross-section is 10.5 in. Length is twice width. Determine dimensions of cross-section.
Perimeter = 2L + 2W
Length = 2W
A 2 by 4 is 2 in. thick(or high) and 4 in. wide.
Not sure how to proceed.

Click here to see answer by ikleyn(52754)

Question 1164048: A 0.8-liter bottle of Mexican wine costs 100 pesos. At that price, how much would a half gallon jug of the same wine cost in dollars?
Mexican peso
Dollars per foreign: 0.07855
Foreign per dollar: 12.73
Click here to see answer by Alan3354(69443)

Question 1164051: At a tennis tournament, each player played each
other player one time. At the end of the
tournament, 28 matches had been played. How
many players were in the tournament?
Click here to see answer by ikleyn(52754)

Question 1164065: Use the unit circle and your knowledge of special triangles to find exact values for sin 240 and cos 240. Then use a calculator to check your answers. Notice that calculators use parentheses around the 240 because sin and cos are functions. In text, except where the parentheses are required for clarity, they are often left out.
Click here to see answer by ikleyn(52754)

Question 1164064: A sector of a circle is enclosed by two 12.0-inch radii and a 9.0-inch arc. Its perimeter is therefore 33.0 inches.
There is another circular sector — part of a circle of a different size — that has the same 33-inch perimeter and that encloses the same area. Find its central angle, radius, and arc length, rounding to the nearest tenth.

Click here to see answer by math_helper(2461)

Question 1164091: A survey of 300 parks showed the following:
15 had only camping
20 had only hiking trails
35 had only picnicking
185 had camping
140 had camping and hiking trails
125 had camping and picnicking
210 had hiking trails
Determine the number of parks that:
had at least one of these features
had all three features
did not have any of these features
had exactly two of these features

Click here to see answer by Edwin McCravy(20054)

Question 1164101: On August 7, the abbott family recieved 31 pieces of may, consisting of magazines, bills, letters, and ads. If they recieved the same number of magazines as letters, three more bills than letters, and five more ads than bills, how many magazines did they receive?
Click here to see answer by ikleyn(52754)

Question 1164120: A survey of 539 adults aged 18-24 year olds was conducted in which they were asked what they did last Friday night. It found:
173 watched TV
176 hung out with friends
27 watched TV and ate pizza, but did not hang out with friends
41 watched TV and hung out with friends, but did not eat pizza
26 hung out with friends and ate pizza, but did not watch TV
39 watched TV, hung out with friends, and ate pizza
73 did not do any of these three activities
How may 18-24 year olds (of these three activities) only ate pizza last Friday night?
Click here to see answer by greenestamps(13195)

Question 1164119: A survey of 539 adults aged 18-24 year olds was conducted in which they were asked what they did last Friday night. It found:
173 watched TV
176 hung out with friends
27 watched TV and ate pizza, but did not hang out with friends
41 watched TV and hung out with friends, but did not eat pizza
26 hung out with friends and ate pizza, but did not watch TV
39 watched TV, hung out with friends, and ate pizza
73 did not do any of these three activities
How may 18-24 year olds (of these three activities) only ate pizza last Friday night?

Click here to see answer by greenestamps(13195)

Question 1164115: A survey of 1,062 tourists visiting Orlando was taken. Of those surveyed:
273 tourists had visited the Magic Kingdom
266 tourists had visited LEGOLAND
298 tourists had visited Universal Studios
94 tourists had visited both the Magic Kingdom and LEGOLAND
75 tourists had visited both the Magic Kingdom and Universal Studios
56 tourists had visited both LEGOLAND and Universal Studios
33 tourists had visited all three theme parks
How many tourists had not visited any of these three theme parks?
Click here to see answer by ikleyn(52754)

Question 1164112: 53 students had signed up for a Language Arts course
34 students had signed up for a Humanities course
23 students had signed up for both a Math and Language Arts course
9 students had signed up for both a Math and Humanities course
9 students had signed up for both a Language Arts and Humanities course
2 students had signed up for all three courses
17 students did not sign up for any of these classes
How many students signed up for only Math (of these three)?
Click here to see answer by ikleyn(52754)

Question 1164114: A survey of 209 SPC students was taken at registration. Of those surveyed:
53 students had signed up for a Language Arts course
34 students had signed up for a Humanities course
23 students had signed up for both a Math and Language Arts course
9 students had signed up for both a Math and Humanities course
9 students had signed up for both a Language Arts and Humanities course
2 students had signed up for all three courses
17 students did not sign up for any of these classes
How many students signed up for only Math (of these three)?
Click here to see answer by ikleyn(52754)

Question 1164138: A survey of 1,062 tourists visiting Orlando was taken. Of those surveyed:
273 tourists had visited the Magic Kingdom
266 tourists had visited LEGOLAND
298 tourists had visited Universal Studios
94 tourists had visited both the Magic Kingdom and LEGOLAND
75 tourists had visited both the Magic Kingdom and Universal Studios
56 tourists had visited both LEGOLAND and Universal Studios
33 tourists had visited all three theme parks
How many tourists had not visited any of these three theme parks?
Click here to see answer by ikleyn(52754)

Question 1164137: A survey of 209 SPC students was taken at registration. Of those surveyed:
53 students had signed up for a Language Arts course
34 students had signed up for a Humanities course
23 students had signed up for both a Math and Language Arts course
9 students had signed up for both a Math and Humanities course
9 students had signed up for both a Language Arts and Humanities course
2 students had signed up for all three courses
17 students did not sign up for any of these classes
How many students signed up for only Math (of these three)?
Click here to see answer by ikleyn(52754)

Question 1164166: In a certain Medical tests Designed to measure carbohydrate tolerance, an adult drinks 3 ounces of a 40% glucose solution when the test is administered to a child a glucose concentration must be decreased to 20% how much 40% glucose solution and how much water Should be used to prepare 3 ounces of 20% glucose solution
Click here to see answer by ikleyn(52754)

Question 1164196: Use the unit circle to define cosθ and sinθ for any number θ between 0 and 360, inclusive. Then explain how to use cos θ and sin θ to define tan θ.

Click here to see answer by ikleyn(52754)

Question 1164200: Find at least two values for θ that fit the
equation sin θ = 1 √3. How many such values are there?
Click here to see answer by ikleyn(52754)

Question 1164202: What graph is traced by the parametric equation (x,y)=(2+cos t,1+sin t)?

Click here to see answer by ikleyn(52754)

Question 1164201: Choose an angle θ and calculate(cosθ)2+(sinθ)2.Repeat with several other values of θ. Explain the results. It is customary to write cos2 θ + sin2 θ instead of (cos θ)2 + (sin θ)2.
Click here to see answer by ikleyn(52754)

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, 30241..30285, 30286..30330, 30331..30375, 30376..30420, 30421..30465, 30466..30510, 30511..30555, 30556..30600, 30601..30645, 30646..30690