Questions on Word Problems: Miscellaneous Word Problems answered by real tutors!

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Question 1149519: At time t=0, in seconds, a pair of sunglasses is dropped from the Eiffel Tower in Paris. At time t, its height in feet above the ground is given by h(t)=−16t2+64.
According to this function, from what height were the sunglasses dropped? Include units in your answer.
When do the sunglasses hit the ground? Include units in your answer.
Click here to see answer by greenestamps(13195) About Me 
Question 1149548: Angel scored a total of 80 points in a basketball game against Jason. Angel made a total of 37 two-point
and three-point baskets. How many two-point shots did Angel make? How many three-point shots did he make?
Click here to see answer by rothauserc(4718) About Me 
Question 1149562: estimate a 15% tip on a dinner bill of 41.67 by first rounding the bill amount to the nearest ten dollars.
Click here to see answer by greenestamps(13195) About Me 
Question 1149573: The current varies directly as the electronegative force and inversely as the resistance.If in a system a current of 20 amperes flows through a resistance of 20 ohms with an electromotive force of 100 volts,find the current that 150 volts will send through the system.
Click here to see answer by Alan3354(69443) About Me 
Question 1149574: If x varies as the square of y and inversely as z and x=12 when y=3 and z=6,find x when y=9 and z=6.
Click here to see answer by Edwin McCravy(20054) About Me 
Question 1149596: Among all pairs of numbers (x,y) such that 6x+2y=38, find the pair for which the
sum of squares, x²+y², is minimum. Write your answers as fractions reduced to
lowest terms.
Click here to see answer by Edwin McCravy(20054) About Me 
Question 1149596: Among all pairs of numbers (x,y) such that 6x+2y=38, find the pair for which the
sum of squares, x²+y², is minimum. Write your answers as fractions reduced to
lowest terms.
Click here to see answer by ikleyn(52748) About Me 
Question 1149712: Suppose that y varies directly as the square root of x, and that y=43 when x=324. What is y when x=172? (Round off your answer to 2 decimal places.)
Click here to see answer by josmiceli(19441) About Me 
Question 1149727: Hi
if jay walked a mile at 2mph and then rode his bike for another mile at 10mph what would be his average speed.
thanks
Click here to see answer by Alan3354(69443) About Me 
Question 1149780: Hi
a student was driving to school at 50mph. A quarter of the way he ran out of petrol. If he ran the rest of the way at 10mph what was his average speed.
thank you
Click here to see answer by ikleyn(52748) About Me 
Question 1149780: Hi
a student was driving to school at 50mph. A quarter of the way he ran out of petrol. If he ran the rest of the way at 10mph what was his average speed.
thank you
Click here to see answer by greenestamps(13195) About Me 
Question 1149780: Hi
a student was driving to school at 50mph. A quarter of the way he ran out of petrol. If he ran the rest of the way at 10mph what was his average speed.
thank you
Click here to see answer by MathTherapy(10549) About Me 
Question 1149773: Using the poisson distribution cloth is woven continously in a textile mill and from experience it is known that an averge of 20 defects occur in each 1,000 ft of fabric. A sample of 100 ft of cloth is taken from the output. What is the probability that it will contain 3 defects?
Click here to see answer by Boreal(15235) About Me 
Question 1149800: Hi
the average mass of a group of people was 42kg at first. When one person weight 70kg joined the average mass became 46kg. How man people were in the group at first.
thanks
Click here to see answer by ikleyn(52748) About Me 
Question 1149800: Hi
the average mass of a group of people was 42kg at first. When one person weight 70kg joined the average mass became 46kg. How man people were in the group at first.
thanks
Click here to see answer by Theo(13342) About Me 
Question 1149878: One positive integer is 6 less than twice another. The sum of their squares is 296. Find the integers.
Click here to see answer by ikleyn(52748) About Me 
Question 1149967: Hi
a car averages 80km per hour and a cyclist averages 50km per hour for the same trip. The car takes 90 min less time to complete the trip. How far has the cyclist still to travel when the csr finishes the trip.
Thanks
Click here to see answer by ikleyn(52748) About Me 
Question 1149976: Two mechanics worked on a car. The first mechanic worked for 10 hours, and the second mechanic worked for 15 hours. Together they charged a total of $1750. What was the rate charged per hour by each mechanic if the sum of the two rates was $145 per hour?
Click here to see answer by rothauserc(4718) About Me 
Question 1149985: To be considered “nectar” a drink must contain 50% fruit juice. Find how much pure (100%) fruit juice and how much fruit drink (30%) must be mixed to make 7 gallons of “nectar”.
Click here to see answer by josgarithmetic(39613) About Me 
Question 1149985: To be considered “nectar” a drink must contain 50% fruit juice. Find how much pure (100%) fruit juice and how much fruit drink (30%) must be mixed to make 7 gallons of “nectar”.
Click here to see answer by greenestamps(13195) About Me 
Question 1150027: Angela and Bob walk at 6 km per hour and 9 km per hour respectively. On a round course, they start from the same point but walk in opposite directions. They pass each other in 30 minutes. How much longer will Angela take to complete the course?
Click here to see answer by jim_thompson5910(35256) About Me 
Question 1150027: Angela and Bob walk at 6 km per hour and 9 km per hour respectively. On a round course, they start from the same point but walk in opposite directions. They pass each other in 30 minutes. How much longer will Angela take to complete the course?
Click here to see answer by ikleyn(52748) About Me 
Question 1150027: Angela and Bob walk at 6 km per hour and 9 km per hour respectively. On a round course, they start from the same point but walk in opposite directions. They pass each other in 30 minutes. How much longer will Angela take to complete the course?
Click here to see answer by VFBundy(438) About Me 
Question 1150050: Among all pairs of numbers (x,y) such that 3x+y=15, find the pair for which the sum of squares, x^2+y^2, is minimum. Write your answers as fractions reduced to lowest terms.
Click here to see answer by ikleyn(52748) About Me 
Question 1150046: Give the probability in decimal form (correct to two decimal places). A calculator may be helpful with this problem.
Last year, 1,460 calculators were returned to the manufacturer. If 85,000 were produced, assign a number to specify the probability that a particular calculator would be returned.
Click here to see answer by ikleyn(52748) About Me 
Question 1150232: A woman earns ​$2500 per month and budgets ​$400 per month for food. What percent of her monthly income is spent on​ food?
what % of her monthly income is spent on food.
Click here to see answer by Benwolf14(1) About Me 
Question 1150227: If the area of a rectangular sign is approximately 3564 sq​ ft, and the width is approximately 54 ​ft, what is the height of this​ sign?
Click here to see answer by ikleyn(52748) About Me 
Question 1150240: Hi
James and ben are in a race over a distance of 5 km. James starts and averages 10km per hour. Five minutes later ben starts averages 12km per hour. Who wins.
Thanks
Click here to see answer by ikleyn(52748) About Me 
Question 1150241: A cross-country skier practices the same route from his home to his friend’s home and leaves at the same time every day. He realised that when he skis at 10 mph he arrives at 4 minutes past noon, and when he skis at 15 mph he arrives at 4 minutes before noon. How fast would he have to go to reach his friend’s house at noon exactly?
Click here to see answer by ikleyn(52748) About Me 
Question 1150241: A cross-country skier practices the same route from his home to his friend’s home and leaves at the same time every day. He realised that when he skis at 10 mph he arrives at 4 minutes past noon, and when he skis at 15 mph he arrives at 4 minutes before noon. How fast would he have to go to reach his friend’s house at noon exactly?
Click here to see answer by VFBundy(438) About Me 
Question 1150244: Which is more economical purchasing the economy size sack of beans at 7 kilograms for $12 or purchasing the regular size bag gram for 1.40
Click here to see answer by Alan3354(69443) About Me 
Question 1150244: Which is more economical purchasing the economy size sack of beans at 7 kilograms for $12 or purchasing the regular size bag gram for 1.40
Click here to see answer by ikleyn(52748) About Me 
Question 1150251: The student council is hosting a drawing to raise money for scholarships. They are selling tickets for $7 each and will sell 500 tickets. There is one $1,000 grand prize, two $200 second prizes, and fourteen $10 third prizes. You just bought a ticket. Find the expected value for your profit. Round to the nearest cent.
Click here to see answer by VFBundy(438) About Me 
Question 1150251: The student council is hosting a drawing to raise money for scholarships. They are selling tickets for $7 each and will sell 500 tickets. There is one $1,000 grand prize, two $200 second prizes, and fourteen $10 third prizes. You just bought a ticket. Find the expected value for your profit. Round to the nearest cent.
Click here to see answer by Boreal(15235) About Me 
Question 1150251: The student council is hosting a drawing to raise money for scholarships. They are selling tickets for $7 each and will sell 500 tickets. There is one $1,000 grand prize, two $200 second prizes, and fourteen $10 third prizes. You just bought a ticket. Find the expected value for your profit. Round to the nearest cent.
Click here to see answer by ikleyn(52748) About Me 
Question 1150251: The student council is hosting a drawing to raise money for scholarships. They are selling tickets for $7 each and will sell 500 tickets. There is one $1,000 grand prize, two $200 second prizes, and fourteen $10 third prizes. You just bought a ticket. Find the expected value for your profit. Round to the nearest cent.
Click here to see answer by greenestamps(13195) About Me 
Question 1150245: Iodine 131, which is produced by nuclear explosions, has a half-life of 8 days. In the spring of 1986, a nuclear explosion occurred at a nuclear power plant in Chernobyl, near Kiev in the Soviet Union. Suppose that the hay from nearby farms was contaminated by the fallout and could not be fed to dairy cows, since the iodine 131 would contaminate their milk. The hay was found to contain six times the allowable level of iodine 131 shortly after the explosion. How long must the hay be stored to be certain that the amount of iodine 131 is reduced to an acceptable level?
Use A = A0 ekt
Click here to see answer by Boreal(15235) About Me 
Question 1150245: Iodine 131, which is produced by nuclear explosions, has a half-life of 8 days. In the spring of 1986, a nuclear explosion occurred at a nuclear power plant in Chernobyl, near Kiev in the Soviet Union. Suppose that the hay from nearby farms was contaminated by the fallout and could not be fed to dairy cows, since the iodine 131 would contaminate their milk. The hay was found to contain six times the allowable level of iodine 131 shortly after the explosion. How long must the hay be stored to be certain that the amount of iodine 131 is reduced to an acceptable level?
Use A = A0 ekt
Click here to see answer by ikleyn(52748) About Me 
Question 1150245: Iodine 131, which is produced by nuclear explosions, has a half-life of 8 days. In the spring of 1986, a nuclear explosion occurred at a nuclear power plant in Chernobyl, near Kiev in the Soviet Union. Suppose that the hay from nearby farms was contaminated by the fallout and could not be fed to dairy cows, since the iodine 131 would contaminate their milk. The hay was found to contain six times the allowable level of iodine 131 shortly after the explosion. How long must the hay be stored to be certain that the amount of iodine 131 is reduced to an acceptable level?
Use A = A0 ekt
Click here to see answer by Theo(13342) About Me 
Question 1150259: How many positive multiples of 7 are less than 10,000 end with the digits 33?
Click here to see answer by Alan3354(69443) About Me 
Question 1150273: an aquarium holding african cichlids is 2 inches higher than it is wide. its length is 25 inches, and its volume is 9000 cubic inches. What are the height and width of the aquarium?
Click here to see answer by josmiceli(19441) About Me 
Question 1150273: an aquarium holding african cichlids is 2 inches higher than it is wide. its length is 25 inches, and its volume is 9000 cubic inches. What are the height and width of the aquarium?
Click here to see answer by Alan3354(69443) About Me 
Question 1150378: Chelsea went on a 102 mile trip to a soccer game. On the way back, due to road construction she had to drive 17 miles per hour slower. This made the trip 1 hour longer. How fast did she drive to the soccer game?
Click here to see answer by nijneweed(6) About Me 
Question 1150378: Chelsea went on a 102 mile trip to a soccer game. On the way back, due to road construction she had to drive 17 miles per hour slower. This made the trip 1 hour longer. How fast did she drive to the soccer game?
Click here to see answer by ikleyn(52748) About Me 
Question 1150413: An ice chest contains 7 cans of apple​ juice, 4 cans of grape​ juice, 5 cans of orange​ juice, and  6 cans of mango juice. Suppose that you reach into the container and randomly select three cans in succession. Find the probability of selecting three cans of orange juice
Click here to see answer by ikleyn(52748) 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, 30241..30285, 30286..30330, 30331..30375, 30376..30420, 30421..30465, 30466..30510, 30511..30555, 30556..30600, 30601..30645, 30646..30690