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

Tutors Answer Your Questions about Miscellaneous Word Problems (FREE)

Question 205701: A dog owner has 250 feet of fencing to enclose a rectangular run for his dogs. If he wants the maximum possible area, what should the length and width of the rectangle be?

Click here to see answer by RAY100(1637)

Question 205702: The sum of two numbers is 11. If the greater number is divided by the smaller number, the potential quotient is 2 and the remainder is 2. Find the numbers, using algebra.
I cant figure out how to set this up. PLEASE HELP!!!
Click here to see answer by RAY100(1637)

Question 205704: Sorry this is a really long problem and I am completely stumped about how to start and what to do.
Chuck is standing atop a high platform and fires a rock up into the air with his slingshot. While it is in flight, the rock's distance about the ground is a quadratic function of time. 1 second after firing it, the rock is 68 meters high, at 2 seconds it's 96 meters, and at 3 seconds it's 114 meters above ground. Use this information to answer the following questions.
a. Find and write the quadratic equation for the function
b. What is the highest point the rock will be above ground?
c. How high is the platform from which Chuck fires the rock? (Hint: Time = 0)
d. When will the rock hit the ground?
e. On its way down, instead of hitting the ground, the rock goes into a nearly empty well. It splashes into the water (hits bottom) exactly 10 seconds after Chuck fired it. How deep is the well?
Like I said really long and really confusing for me. Any help is really appreciated
Click here to see answer by nerdybill(7384)

Question 205467: Yogurt blends regular yogurt that is 3% fat with its no fat yogurt to obtain lowfat yogurt that is 1%. How many pounds of regular yogurt and how many pounds of no fat yogurt should be mixed to obtain 60 pounds of low fat yogurt?
Click here to see answer by ankor@dixie-net.com(22740)

Question 205720: A discount bank loan has a quoted annual rate of 6 percent

Click here to see answer by rfer(16322)

Question 205765: Hi,
Can someone help me with this probability problem? I'm having trouble figuring this one out. Thank you!!
A bicycle plant runs two assembly lines, A and B. 96% of line A’s products pass instruction, while only 89% of line B’s products pass inspection, and 70% of the factory’s bikes come off assembly line A.
a) What is the probability that a randomly selected bike did not pass inspection?
b) What is the probability that a randomly selected bike that did not pass inspection came from
assembly line A?
Click here to see answer by scott8148(6628)

Question 205760: The faces of a cube are marked with the numbers 1,2,3,4,5,6. Each corner of the cube is assigned " vertex number " equal to the sum of all the numbers on the faces that meet at this corner. The sum of all the vertex numbers is
(A)21 (B)42 (C)63 (D)84 (E) None of these
Click here to see answer by scott8148(6628)

Question 205700: A landscaper wants to enclose a 90 ft by 120 ft rectangle with a walk of uniform width. He wants to use a supply of crushed rock that will cover 1744 square feet of walk. How wide should he make the walk?
I am just having a real problem setting up this problem. I cant seem to wrap my mind around how to set it up. I know how to do the math involved if I can just have help with the set up.
Click here to see answer by Targetweek(62)

Question 205828: Sunflower seeds are packed in packages each weighing 3 ounces. If there is a supply of 15 pounds of sunflower seeds, how many packages of seeds can be packed? How many ounces of sunflower seeds will be left over? (16 oz. = 1 pound)

Click here to see answer by stanbon(75887)

Question 205880: The perimeter of a rectangle is 20 inches. The area of the same rectangle in 18 square inches. Find the width of the rectangle to the nearest tenth of an inch.
Click here to see answer by rfer(16322)

Question 205854: Kathy and Ken work in a textbook warehouse. Kathy can fill an order of 100 books in 40 min. Ken can fill the same order in 60 min. How long would it take them, working together, to fill the order?
Click here to see answer by Alan3354(69443)

Question 205852: A candy shop mixes nuts worth $1.10 per pound with another variety worth $0.80 per pound in order to make 42 pounds of a mixture worth $0.90 per pound. How many pounds of each kind of nut should be used?
Click here to see answer by rfer(16322)

Question 205966: Starting with the number 2, Roman writes down, in order, all of the integers which are not perfect squares. What is the 100th number he writes down?
(A) 107 (B) 109 (C) 110 (D) 111 (E) None of these
Click here to see answer by dyakobovitch(40)

Question 205975: Can anyone help with this?
A box contains 10 green, 2 red, 7 yellow, and 6 blue marbles. Four marbles are drawn from the box without replacement.
a) What is the probability that all four marbles are the same color?
b) What is the probability that none of the marbles is yellow?
c) What is the probability that you get one marble of each color?
I think a) is 21C4 I am confusing myself on the rest. I was using a sample space to try to figure it out. (g,r) (g,y) (g,b) (g,g) and so forth and came up with 16 combination's of sets. Am I on the right track? thanks!!!
Click here to see answer by stanbon(75887)

Question 205967: Alphonse starts at point A and runs at a constant rate towards point C. At the same time, Brigitte starts at point B and runs towards point C also at a constant rate. They arrive at C at exactly thesame moment. If they continue running in the
same directions, Alphonse arrives at B exactly 10 seconds before Brigitte arrives at A. How fast was Brigitte running?

A|----60m------|C---40m----|B
Click here to see answer by ankor@dixie-net.com(22740)

Question 205957: If the perimeter of a tennis court is 228 feet and the length is 6 feet longer than twice the width, then what are the length and width?
Click here to see answer by rfer(16322)

Question 205946: On Tuesday the weather in Winston, ND, was �2 degrees F. That night the temperature dropped another 17 degrees F. During the day on Wednesday the temperature rose 11 degrees F to reach that day�s high. What was the high temperature on Wednesday?

Click here to see answer by rfer(16322)

Question 205864: paul's calculator can make only two operations : add 12 to the number displayed ,or subtract 7 from it. today, it shows the number 1998. what is the minimal number of steps needed to display the number 2000 ?
A) 4 b) 12 c) 16 d) 21 e) 24
Click here to see answer by ankor@dixie-net.com(22740)

Question 206087: One fourth of a two digit number exceeds its one fifth by 4. What is the two digit?
Click here to see answer by stanbon(75887)

Question 206187: The following table shows how many strokes over or under par Susan shot when she played 9 holes of golf on Saturday. How over or under par was her final score?
Hole: 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9
----------------------------------------
Score:-2 | 1 | 0 | 2 | 1 | -1 | -1| 0 | -2
Click here to see answer by stanbon(75887)

Question 206266: An old grading system describes grades from 0 to 10. New grading guidelines require that grades be entered from 50 to 100. Which expression can be used to convert an old grade, g, to the new grade?
A) 5g
B) g+50
C) g+90
D) 10g-50
E) 5g+50

Click here to see answer by nerdybill(7384)

Question 206267: If a taxi ride costs d dollars a mile for the first x miles, and d+n dollars for each additional mile, what is the cost, in dollars, to ride x+y miles?
Click here to see answer by Marth(57)

Question 206376: Old Mcdonald was buying animals for his farm. Cows cost $10, Pigs cost $3, and chickens cost $.50. He only bought 100 animals and bought at least one of each animal. He only spent $100. How many of each animal did he buy?
Click here to see answer by ankor@dixie-net.com(22740)

Question 206480: you drive for 3 hours at an average speed of 50 miles per hour. how far do you travel?
Click here to see answer by rfer(16322)

Question 206425: A crate filled with empty bottles weighs 2 kg. The empty crate weighs 1.6 kg less than the bottles. How much does the empty crate weigh?
(A) 200 g (B) 300 g (C) 400 g (D) 1.6 kg (E) 1.8 kg
Click here to see answer by stanbon(75887)

Question 206583: The cost of visiting a zoo is $5 for an adult and $3 for a child. By the end of the day, 630 persons had visited the zoo and the revenue for the day was $2368. How many children visited the zoo on that day?
(A) 239 (B) 240 (C) 300 (D) 390 (E) 391
Click here to see answer by stanbon(75887)

Question 206586: A cube composed of 64 1 x 1 x 1 cubes is painted and then broken apart again into the smaller cubes. How many of the 1 x 1 x 1 cubes will have exactly 2 painted faces?
(A) 8 (B) 16 (C) 24 (D) 36 (E) 48
Click here to see answer by Theo(13342)

Question 206580: On the first day, Nabil put $1 in a big box. Then, each succeeding day, he added to the box exactly twice as many dollars as he did on the previous day. On which day will Nabil have more than $1000 in his box for the first time?
(A) 8th day (B) 9th day (C) 10th day (D) 11th day (E) 1000th day
Click here to see answer by Alan3354(69443)

Question 206742: John and Charles buy red and blue certificates. John buys 10 red and 20 blue and pays $40. Charles buys 10 blue and 20 red and pays $50. The following day, they find out that they need more certificates and they go together to buy 3 red and 2 blue. How much did they pay for these five certificates?
(A) $5 (B) $6 (C) $7 (D) $8 (E) $9
Click here to see answer by profemmanuel2q@yahoo.com(15)

Question 206756: This has me confused.....
Using Richter scale equation M = log I/I^(0) where M is the magnitude of an earthquake, I is the intensity of the shock waves, and I^(0) is the measure of the intensity of a zero-level earthquake.
On May 21, 2003, an earthquake struck Northern Algeria. The quake had an intensity of I = 6,309,573I^(0). Find the Richter scale magnitude of the earthquake. Round to the nearest tenth.
I cant figure this out, can someone explain?
Thank you!
Click here to see answer by stanbon(75887)

Question 206755: Can someone help me with this word problem please..
Using the compound interest formula A + P(1 + i)^(n), where P is the original value of an investment, I is the interest rate per compounding period, n is the total number of compounding periods, and A is the value of the investment after n periods.
To save for college tuition, the parents of a preschooler invest $5000 in a bond fun that earns 6% annual interest compounded monthly. In approximately how many years will the investment be worth $15000?
Thank you!
Click here to see answer by stanbon(75887)

Question 206753: adam tried to compute the avaerage of his 7 test scores. He mistakenly divided the correct sum of all of his test scores by 6, which yielded 84. What is adam's correct average test score?
Click here to see answer by stanbon(75887)

Question 206738: A broccoli costs $2, a cauliflower costs 50% more than a broccoli and a bunch of asparagus costs twice as much as a broccoli. What is the cost of 4 broccolis, 3 cauliflowers and 2 bunches of asparagus?
(A) $24 (B) $25 (C) $26 (D) $27 (E) $29
Click here to see answer by rfer(16322)

Question 206772: A college stdent has finished 48 credit hours with a GPA of 2.75. To get into the program she wishes to enter, she must have a GPA of 3.2. How many additional credit hours of 4.0 work will raise her GPA to 3.2?
work tried:
credits wants= credits has= additional work
3.2x= (48)(2.75) +4x
Click here to see answer by stanbon(75887)

Question 206740: Canada has a population of 33 million while Russia has 144 million inhabitants. Indonesia�s population is 50% greater then that of Russia while it is only 72% of the population of the United States. How many million people must be added to the United States so that the population of that country becomes 10 times that of Canada?
(A) 3 (B) 27 (C) 30 (D) 33 (E) Not enough information
Click here to see answer by stanbon(75887)

Question 205883: A boat travels 12 miles upstream and then turns around and travels 12 miles downstream. The total time for both trips is 3 hours. If the stream flows at 1 mph, how fast does the boat travel in still water? Round the answer to the nearest tenth.
Click here to see answer by mickclns(59)

Question 206831: three old machines together required 80 min to do a certain job. two new machines were installed one of which worked 3 times as fast as all the old machines put together. the five machines working together, took 15 min to do the same type of job. how long would it take the other new machine working alone to do the work?
Click here to see answer by ankor@dixie-net.com(22740)

Question 206871: Wheel�s Bicycle shop advertised a bicycle for 15% off for a savings of $36. The bicycle did not sell, so it was offered at a new 20% discount off the sale price.
(a) What did the bicycle sell for regularly?
(b) What is the amount of the new discount?

Click here to see answer by rfer(16322)

Question 206861: Roman has a bag containing marbles of four different colours. How many ways can he place four marbles in a row so that no two marbles adjacent to each other are of the same colour?
(A) 24 (B) 108 (C) 120 (D) 144 (E) 256
Click here to see answer by Edwin McCravy(20054)

Question 206937: the sum of two numbers is 23 and their products is 132. find the two numbers.

Click here to see answer by Earlsdon(6294)

Question 206860: A farmer has 252 kg of apples. The apples are put into 2 kg and 5 kg bags. If the farmer uses twice the number of 5 kg bags as 2 kg bags, how many bags are used altogether?
(A) 21 (B) 42 (C) 56 (D) 63 (E) 70
Click here to see answer by ankor@dixie-net.com(22740)

Question 206854: Three stones are weighed on a scale, two at a time. The scale shows weights of 49 kg, 63 kg, and 80 kg. How much does the heaviest stone weigh?
(A) 30 kg (B) 36 kg (C) 40 kg (D) 47 kg (E) Not enough
information
Click here to see answer by Alan3354(69443)

Question 206859: Every student in a school studies either mathematics or physics. Two-thirds of the students study mathematics and one-half of the students study physics. If seven students study both subjects, what is the total number of students in the school?
(A) 42 (B) 49 (C) 84 (D) 98 (E) None of these
Click here to see answer by checkley77(12844)

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, 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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