Tutors Answer Your Questions about Miscellaneous Word Problems (FREE)
Question 22367: Respected sir,please help me to solve simple interest problem
Rahul lends Rs. 3000 to Kishan and Rs. 1800 to Uma for 3 years. The rate of interest he charges Uma is 2% more than Kishan. If the total interest received from the both is Rs. 1836, find the two rate of interests.
Click here to see answer by stanbon(75887)  |
Question 22494: Please solve this word problem:
"A goat is enclosed in a 2(3.14) acre fenced area on the shape of an equilateral trianlgle. It is tethered to a post at one of the trianlgle's vertices. To the nearest foot, determine the length of a rope which will allow the goat to eat only one half of the grass in these 2(3.14) acres."
I have tried to solve this problem using A=bh/2 but then I get stuck on the problem. Thank you for your help.
Click here to see answer by stanbon(75887) |
Question 22678: The sum of three numbers is 301. The second number is 3 less than twelve times
the first number. The third number is 4 more than seven times the first number.
Find the three numbers.
Click here to see answer by Paul(988) |
Question 22710: Thank you for your help. Here is my question. In the first week of May, a custom fencing company sold 400 feet of pasture fencing and 100 feet of picket fencing for a total of $2600. The next week, at the same price, the fencing company sold 1300 feet of pasture fencing and 350 feet of picket fencing for a total cost of $8750. Find the cost per foot of the pciket fencing.
Click here to see answer by pridgea(6) |
Question 22738: PLease Help!
Larry can destroy a room in 30 minutes, moe can destroy the same room in 40 minutes, but curly can destrot the room in 20 minutes. "working" together how long will it take them to destroy the poor room?
Click here to see answer by Earlsdon(6294) |
Question 22796: Can anyone help out? Julie and Eric row their boat (at a constant speed) 63 miles downstream for 7 hours, helped by the current. Rowing at the same rate, the trip back against the current takes 9 hours. Find the rate of the current.
Click here to see answer by Paul(988) |
Question 22824: A club sells 1200 shirts a year at $20. They want to increase the price & a survey shows for every $2 increase there will be 60 less shirts sold each year. What should the selling price be to maximize the revenue?
help!! can't figure this one out at all. Thanks.
Click here to see answer by wuwei96815(245) |
Question 22891: Wind resistance or atmospheric drag tends to slow down moving objects. Atmospheric drag varies jointly as an object's area "A" and velocity "v". If a car traveling at a speed of 50 mph with a surface area of 35Ftsquared experiences a drag of 192.5N (Newton’s), how fast must a car with 49ft squared surface area travel in order to experience a drag force of 247.94N?
A. 46 mph
B. 43 mph
C. 51 mph
D. 48 mph
B. 43 mph
C. 51 mph
D. 48 mph
Click here to see answer by venugopalramana(3286) |
Question 22890: The time necessary T to make an enlargement of a photo negative varies directly as the area of the enlargement. If 108 seconds are required to make a 3-by-4 inch enlargement, find the time required to make a 6-by-8 inch enlargement.
A. 384 seconds
B. 528 seconds
C. 480 seconds
D. 432 seconds
Click here to see answer by rapaljer(4671)  |
Question 21670: HI, I have a story problem I'm having a difficult time with, I was wondering if somebody could help me?
Question: A bag contains 6 red marbles, 9 blue marbles, and 5 green marbles. You withdraw one marble, replace it, and then withdraw another marble. What is the probability that you do NOT pick two green marbles?
thank you,
chris
Click here to see answer by venugopalramana(3286) |
Question 23045: You plan to put a fence around a rectangular lot. The length of the lot must be at least 70ft. The cost for the fence along the length of the lot is $2 per foot, and the cost of the fence along the width is $3 per foot. The total cost can not exceed $360.
a. Use two variables to write a system of inequalities that models the problem
b. Graph the system, and shade the feasible region.
c.What is the maximum width of the lot if the length is 60 feet?
Click here to see answer by AnlytcPhil(1806)  |
Question 21747: if the degree measure of the smallest angle of a triangle is one-half of the degree measure of the second largest angle and one-third of the degree measure of the largest angle, then what is the degree measure of each angle?
Please help me with this
Click here to see answer by venugopalramana(3286) |
Question 21266: Conchita noticed that there were fewer than 100 Hippos in the river. when she counted them by 2's. there was 1 hippo left over. in fact, when she counted them by 3's, 4's, 5's, or 6's there was always 1hippo left over.
how many Hippos were in the river??
Click here to see answer by venugopalramana(3286) |
Question 22400: The hourly wage y of an employee at a certain production company is given by y=0.25x + 9 where x is the number of units produced in an hour.
a) complete the table and graph the results
X 0 1 5 10
Y
B) Find the number of units thatmust be produced each hour to earn an hourly wage of $12.25.
Click here to see answer by rapaljer(4671) |
Question 23229: A company manufactures and sells blank CDs.The weekly fixture cost is $15,000 and it's cost $0.30 to produce each CD.The selling price is $1.50 per CD.How many CDs must be produced and sold each week for the company to have a profit gain?
It's a multiple choice question and my choices are:
(a)More than 12500 Cds must be produced.
(b)12000 CDs must be produced.
(c)Less than 10500 CDs must be produced.
(d)1500 CDs must be produced.
Click here to see answer by rapaljer(4671) |
Question 23259: Can you help me with this probability problem:
If P(A or B)=0.60 and P(A)=0.20, solve for P(B):
(a) Find P(B) given that events A and B are mutually exclusive -- The answer I figured out was 0.40.
Now I need help with this one:
(b) Find P(B) given that events A and B are independent.
Click here to see answer by stanbon(75887) |
Question 23253: I need help with this problem:
From a box of 10 light bulbs, 4 are to be removed. How many different sets
of 4 bulbs could be removed?
I am guessing that if 4 are to be removed from the 10 light bulbs, then 6 will be remaining, 6!; I am stumped on the next step, can you help me?
Click here to see answer by stanbon(75887) |
Question 21907: A bakery makes two flavors of cake, chocolate and vanilla and has two ovens, one large and one small. A chocolate-flavored cake requires 10 minutes to bake in the large oven and 40 minutes in the smaller oven. A vanilla-flavored cake requires 20 minutes to bake in the large oven and 30 minutes in the smaller oven. Each day, 600 minutes are available in the large oven and 1200 are available on the small oven. To satisfy the needs of their customers, the bakery must produce at least 6 chocolate-flavored cakes and at least 12 vanilla-flavored cakes. The profit for each chocolate-flavored cake is P50 and the profit for each vanilla-flavored cake is P60.How many of each cake must the bakery make daily to maximize the profit? Draw the detailed graph, indicate the vertices and shade the region enclosed by the constraints.
Click here to see answer by stanbon(75887) |
Question 23426: Hi, can you please help me with this problem?? I am SO CONFUSED, please help!! We have Finals coming up and i don't have a clue how to do these word problems! Here is the problem: The sum of two numbers is 25 and the sum of their squares is 313. Find the numbers. (Hint: Let one of the numbers be x. Express the other number in terms of x.)
Help will be greatly appreciated! Thank you ever so much!
Click here to see answer by stanbon(75887) |
Question 23435: For a special order the abc company manufactured 400 shirts sweatshirts were priced at $35 each and are $25 each The company received $11500 for the shirts How many of each type of shirt did the abc ompany manufacture for this order?
Click here to see answer by Paul(988) |
Question 22000: Can anyone show me how to solve this? Thanks in advance.
Tony buys two sun lamps. The intensity of a sun lamp is inversely proportional to the square of the distance from the lamp. When he gets home, he discovers he has purchased one 50 watt lamp and one 60 watt lamp. He positions the lamps exactly 10 meters apart. He then sits, between the lamps, on an imaginary line running directly between the two lamps. To ensure he gets an even tan, how far d should he sit from the 50 watt lamp?
d=______m
Click here to see answer by venugopalramana(3286) |
Question 23539: PLEASE HELP ME!! I don't know what i'm doing and i've been up all night trying to figure out these word problems! Please Help! Here is the problems: A garden plot 4 m by 12 m has one side along a fence. The area of the garden is to be doubled by digging a border of uniform width on the on the other three sides. What should the width of the border be?
Here is the other problem: Vanessa built a rectangular pen for her dogs. She used an outside wall of the garage for one of the sides of the pen. She had to buy 20 m of fencing in order to build the other sides of the pen. Find the dimenstion of the pen if its area is 48 m^2.
Help would be GREATLY appreciated. Thanks
Click here to see answer by ilana(307) |
Question 23506: Hi, I am having a REALLY hard time with word problems right now. Could someone PLEASE help me with this problem? Help would be greatly appreciated, thanks! Here is the problem: A Garden plot 4 m by 12 m has one side along a fence as shown at the right. The area of the garden is to be doubled by digging a border of uniform width on the other three sides. What should the width of the border be?
Please HELP me??? Thank you so much!
Click here to see answer by stanbon(75887) |
Question 23655: This is a quadratic function word problem.
Solve for maximum height and graph.
If a baseball is projected upward from ground level with an initial velocity of 64 feet per second, then its height is a function of time, given by s(t) = -16t^2 + 54t. Graph this function for 0 ≤ t ≤ 4. What is the maximum height reached by the ball?
This problem is very confusing to me and any help will be greatly appreciated.
Click here to see answer by Earlsdon(6294) |
Question 23689: 8k - 5n = 8r
3u + 2o = 189
5d + 2c = 6m
5L + 4m = 23b
3r - m = 3u
3k - 4i = 2i
3n - 3o = c
o - c = 4d
8i + 9r = 9n
10m + 7d = 3n
4d + 4e = 6b
4y - 6u = 2m
6b + 3c = 14m
L + e + n + n + y + c + o + n + u + n + d + r + u + m = ???
Click here to see answer by rapaljer(4671) |
Question 23660: I need help figuring out the following quadratic word problem, I am totally confused by this problem.
Minimum Cost:
It costs Acme Manufacturing C dollars per hour to operate its golf ball division. An analyst has determined that C is related to the number of golf balls produced per hour, x, by the equation C = 0.009x^2 - 1.8x + 100. What number of balls per hour should Acme produce to minimize the cost per hour of manufacturing these golf balls?
Any help or explanation will be greatly appreciated.
Click here to see answer by venugopalramana(3286) |
Question 23502: The people at a meeting are forming into equal teams. When they form groups of 2, 3, 4, 5, or 6, there is always exactly one person left. What is the smallest number of people that could be at the meeting?
Two ways to obtain the solution must be shown.
Click here to see answer by stanbon(75887) |
Question 23622: I have the following word problem and I think the answer is 2 but I do not know how to write the equation. Can you help? Thank you.
A car dealer has 22 vehicles on his lot. If 8 of the vehicles are vans and 6 of the vehicles are red and 10 vehicles are neither vans nor red, how many red vans does he have on his lot?
Click here to see answer by stanbon(75887) |
Question 23730: An airplane has 30 seats but some people might not show up for the flight, so they sold 32 tickets. Each person is individual so if they dont show up, it doesnt effect anyone else. Each person has a probability of .9 of showing up and theres a .1 chance of not showing up. Whats the probablitity of more than 30 people showing up?
Click here to see answer by stanbon(75887) |
Question 23781: There are four nunbers. The first is twenty less than the second, the third is one more than twice the first and the fourth is four more than the third. We also know that the sum of the first and second equals the sum of the third and fourth numbers. Find the numbers.
Can you please help us to figure this out. We would like step by step instructions.
thank you.
Click here to see answer by Paul(988) |
Question 23807: Please help me with this problem. I would really appreciate it!
There are 28 students in a class. 20 students have atleast one sibling. 17 have atleast one cousin. Out of those 12 have atleast one sibling and one cousin. how many classmates do not have any siblings or cousins.
the answer choices are: 1, 2, 3, or 4.
Here is how I attempted this:
28 in class.
20 = 1 sibling
17= 1 cousin
12 = 1 cousin and 1 sibling
I thought that there would be 8 students that would be left without anyone, but that wasn't an answer choice. Then I thought that 17-12=5, but also not an answer choice. Please help me. I would really appreciate it! Thank you so much!
Click here to see answer by venugopalramana(3286) |
Question 23849: PlEASE help! A postal clerk sold some fifteen-cent stamps and some twenty-five cent stamps. Altogether, 10 stamps were sold for a total cost of $1.70. How many of each type of stamp were sold?
Click here to see answer by Paul(988) |
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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, 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
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