Tutors Answer Your Questions about Miscellaneous Word Problems (FREE)
Question 1132248: Chase and his family were visiting Canada, where gas is sold by the liter. Case's mother pumped 7 37/100 liters of gas into the tank, stopped, and then pumped another 8/10 liter to fill the tank. How many liters of gas did Chase's mother pump in all? Explain
Click here to see answer by ikleyn(52754)   |
Question 1132304: A certain amount of money was loaned at m per cent simple interest and twice as much at n per cent, interest on both d dollars per year. Find total amt. loaned.
Interest = principal * rate * time
Principal = I /rt
Rate = I / pt
Not sure how to solve. Non-homework.
Click here to see answer by addingup(3677)  |
Question 1132304: A certain amount of money was loaned at m per cent simple interest and twice as much at n per cent, interest on both d dollars per year. Find total amt. loaned.
Interest = principal * rate * time
Principal = I /rt
Rate = I / pt
Not sure how to solve. Non-homework.
Click here to see answer by Theo(13342)  |
Question 1132396: Jerome measures the length of 40 ropes and uses a line plot to organize his data. a. How many more ropes are there that are 3/8 yard long or greater than ropes that are less than 3/8 yard long?
1 x is 2 ropes
1/8 x x x
1/4 x x
3/8 x x x x x
1/2 x x x x
5/8 x x x x x x
Click here to see answer by ikleyn(52754) |
Question 1132472: A factory that makes can openers has fixed costs for buildings, fixtures, machinery, etc. of $26,000. The variable cost for material and labor for making one can opener is $2.75.
a. What is the total cost of making 1000 can openers? 20,000? 40,000?
b. What is the average cost per can opener in each case?
Click here to see answer by addingup(3677) |
Question 1132531: One of your company's salesmen estimates he will drive 20,000 miles this year and each of the next two years. As the service manager for the company's fleet of six-cylinder compact automobiles, you are asked to determine the total costs for each of the three years.
Click here to see answer by ikleyn(52754) |
Question 1132561: mr hansen buys a cupcake for each student in his class the the class party. Each cupcake cost 1.25. However there is a discount where each batch of 10 cupcakes are only $1. He buys 34 cupcakes. hom much did he spend on cupcakes?
Click here to see answer by josmiceli(19441)  |
Question 1132561: mr hansen buys a cupcake for each student in his class the the class party. Each cupcake cost 1.25. However there is a discount where each batch of 10 cupcakes are only $1. He buys 34 cupcakes. hom much did he spend on cupcakes?
Click here to see answer by MathTherapy(10549)  |
Question 1132561: mr hansen buys a cupcake for each student in his class the the class party. Each cupcake cost 1.25. However there is a discount where each batch of 10 cupcakes are only $1. He buys 34 cupcakes. hom much did he spend on cupcakes?
Click here to see answer by ikleyn(52754) |
Question 1132560: A rectangular bin with an open top and volume of 38.72 cubic feet is to be built. The length of its base must be twice the width and the bin must be at least 3 feet high. Material for the base of the bin costs $12 per square foot. If it costs $538.56 to build the bin, what are its dimensions?
Click here to see answer by MathLover1(20849)  |
Question 1132613: The final mathematics exam at a certain school contains question of equal difficulty, and is matched to the students' past performance in mathematics. Four students who take the exam have averages of 25%, 50%, 60% and 80%. What is the probability that at least one of these students will get the first question on the exam correct?
A)97/100 B)9/10 C)17/20 D)13/15 E)23/30
Click here to see answer by greenestamps(13195)  |
Question 1132680: Boston is 295 miles from new York along a certain route. a car starts from boston at 1 pm and travels along this route toward new York at a steady rate of 50 miles per hour.
Another car starts from new York at 1:30 pm and travels along this route toward boston at a steady rate of 40 miles per hour. at what time do the cars pass each other?
Click here to see answer by ankor@dixie-net.com(22740)  |
Question 1132680: Boston is 295 miles from new York along a certain route. a car starts from boston at 1 pm and travels along this route toward new York at a steady rate of 50 miles per hour.
Another car starts from new York at 1:30 pm and travels along this route toward boston at a steady rate of 40 miles per hour. at what time do the cars pass each other?
Click here to see answer by greenestamps(13195) |
Question 1132802: Twelve guests are to be seated for dinner, six of them have already chosen to sit in a row at a bar table, and the other six will sit in a circle at a round table. What is the total number of different seating arrangements for these guests?
Click here to see answer by ikleyn(52754) |
Question 1132885: Question 2
Part A
Maria and Josie are also figuring out the dimensions of the runners’ corral at the start line. To accommodate the number of projected runners, they’ve determined that they need a minimum area of 29,040 square feet in the corral. They have 1,364 feet of temporary fence barriers to set up the corral. They are leaving one end of the rectangular corral open as shown in the image.
https://cdn.app.edmentum.com/EdAssets/5b3899110c584f1a9a3b3a9fa0db6e85?ts=636380088681800000 (copy and paste into url)
When the race is about to start, Maria and Josie will remove the fencing barriers on the start line. Create an inequality that represents the relationship between the area of the space and the length of fencing needed.
Part B
Would a length of 650 feet meet the requirements for the runners’ corral? If so, what would the width be? Justify your response with calculations.
Click here to see answer by Theo(13342) |
Question 1133065: Six people live on six different streets: : Keel Street, Keer Street, Sire Street, Sile Street, Doley Street, and Dorey Street.
Use the clues below to solve the puzzle.
1. Laura Lole does not live on Keel Street or Dorey Street.
2. Brian Barr and Sherry Lock do not live on Sile Street.
3. Brian Ball does not live on Keer or Sile Street.
4. Laura Lore does not live on Dorey or Sire Street.
5. Sherry Lock does not live on Keel Street or Dorey Street.
6. Laura Lore and Brian Ball do not live on Keel Street.
Click here to see answer by ikleyn(52754) |
Question 1133037: In a 6 by 6 grid, how many pathways can be drawn from S to F, (always moving to the right or down) that cross the main diagonal at least once? (You can use the Catalan sequence to answer this question...) The diagram illustrates one pathway that crosses the main diagonal twice.
Link to diagram : http://i63.tinypic.com/2s65wdg.jpg
Click here to see answer by greenestamps(13195) |
Question 1133085: In a 6 by 6 grid, how many pathways can be drawn from S to F, S is the top left corner and F is the bottom right corner (always moving to the right or down) that cross the main diagonal at least once? (You can use the Catalan sequence for this question, but it is possible to solve without it.) Don't try drawing all the pathways!
Click here to see answer by greenestamps(13195) |
Question 1132972: In a 6 by 6 grid, how many pathways can be drawn from S to F, (always moving to the right or down) that cross the main diagonal at least once? (You can use the Catalan sequence to answer this question...) The diagram illustrates one pathway that crosses the main diagonal twice. Don’t try drawing all the pathways.
A)520 B)610 C)630 D)660 E)720
Link to diagram : http://i63.tinypic.com/2s65wdg.jpg
Click here to see answer by greenestamps(13195) |
Question 1133036: In the sequence 1,4,5,6,7,8,10,16,18,... each number after the first two is the next number that can be expressed as the sum of two previous numbers in only one way. For example, 10 is included because 6+4 = 10, and there is no other sum of two numbers in the sequence that equals 10. The number 15 is not included because both 10+5 and 8+7 equals 15. In a similar sequence that begins with the two numbers 100 and 101, the sum of the first ten terms is...
Click here to see answer by greenestamps(13195) |
Question 1133077: A. Antonia has a green rope and a blue rope. Her green rope is 4 feet in length. She cut the green rope into 2 pieces. One of the pieces is 21 inches in length.
How many inches long is the other piece of the green rope?
B. Antonia’s blue rope measures 2 yards. She wants to cut the rope into MORE than 3 pieces so all the pieces of rope are equal in length with no rope left over.
What is ONE possible way that Antonia can cut the rope so that each piece of rope is less than 24 inches in length?
Click here to see answer by josgarithmetic(39613) |
Question 1133191: Brad, Chaz, Dean and Evie go swimming at the same pool. Brad goes every 3 days. Chaz every 6 days and Dean every 7 days. The four all meet up only once every 84 days.
How often does Evie go to the pool if she swims less often than any of the others?
A. 8 days
B. 10 days
C. 12 days
D. 14 days
Click here to see answer by math_helper(2461)  |
Question 1133194: A small raft is floating in a small wading-pool. There are twenty heavy concrete blocks on the raft. A small child pushes the blocks off the raft and into the water.
As a result, would the water level:
A. Rise
B. Fall
C. Stay the same
D. Do any of the above depend on how dense the blocks are
Click here to see answer by Alan3354(69443)  |
Question 1133185: A large piece of paper is 1/64 cm thick. The paper is torn in half and the two pieces placed one on top of the other in a pile.
These are torn in half again and the pieces placed in a pile.
This procedure is continued.
1. How many tears would be necessary to obtain a pile 1 cm high?
A 64
B 16
C 8
D 6
Click here to see answer by MathLover1(20849) |
Question 1133185: A large piece of paper is 1/64 cm thick. The paper is torn in half and the two pieces placed one on top of the other in a pile.
These are torn in half again and the pieces placed in a pile.
This procedure is continued.
1. How many tears would be necessary to obtain a pile 1 cm high?
A 64
B 16
C 8
D 6
Click here to see answer by Alan3354(69443) |
Question 1133185: A large piece of paper is 1/64 cm thick. The paper is torn in half and the two pieces placed one on top of the other in a pile.
These are torn in half again and the pieces placed in a pile.
This procedure is continued.
1. How many tears would be necessary to obtain a pile 1 cm high?
A 64
B 16
C 8
D 6
Click here to see answer by MathTherapy(10549) |
Question 1133182: On my flight from Christchurch to Sydney, the following is shown on the information screen in the passenger cabin:
Current Speed : 864 km/h
Distance from Departure: 1222 km
Time to Destination: 1h 20 min
If the plane continues at the same speed, then the distance in kilometres from Christchurch to Sydney is closest to
A. 2300
B. 2400
C. 2500
D. 2600
E. 2700
Click here to see answer by ankor@dixie-net.com(22740) |
Question 1133213: A rabbit was 60 of her own leaps in front, while being chased by a dog, and took three leaps while the dog took two. But the dog went as far in three leaps as the rabbit did in seven.
In how many leaps did the dog catch the rabbit?
Click here to see answer by ikleyn(52754) |
Question 1133212: A rabbit was 60 of her own leaps in front, while being chased by a dog, and took three leaps while the dog took two. But the dog went as far in three leaps as the rabbit did in seven.
In how many leaps did the dog catch the rabbit?
Click here to see answer by ikleyn(52754) |
Question 1133210: Please provide an easy-to-understand explanation.
Thank you.
My watch gains ten seconds an hour, and my clock loses ten seconds an hour. I put them both right at noon on June 1st. What next later date will they also tell the same time?
Click here to see answer by ikleyn(52754) |
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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, 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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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