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

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Question 872735: two remotely controlled unmanned aircraft are launched in opposite directions. One flies east at 78 mph and the other west at 82 mph. How long will it take the aircraft to fly a combined distance of 560 miles.
Click here to see answer by stanbon(75887)

Question 872736: with summer approaching, the number of air conditioners sold is expected to be double that of stoves and refrigerators combined. Stoves sell for $350, refrigerators for $450, and air conditioners for $500, and sales of $56,000 are expected. If stoves and refrigerators sell in equal numbers, how many of each appliance should be stocked.
Click here to see answer by ewatrrr(24785)

Question 872783: The Edwards family and the Chen family each used their sprinklers last summer. The water output rate for the Edwards family's sprinkler was 30L per hour. The water output rate for the Chen family's sprinkler was 20L per hour. The families used their sprinklers for a combined total of 65 hours, resulting in a total water output of 1700L . How long was each sprinkler used?
Click here to see answer by josgarithmetic(39616)

Question 872969: My professor gave us this problem to do. It is really complicated and confusing. Everything she asks to do is written below i did not add or subtract anything from her guidlines. If there is anyone that can help me, that would be great. Thanks!!

Your media communications company is pitching an ad campaign for a new gadget maker to MegaGadget Corp. This advertising blitz will be conducted in the greater-Westfield-Springfield-Holyoke area and can use a mix of Television time, Radio time, and Newspaper ads. Information about each advertising medium is shown below.
Medium
Cost Per Ad Placed
# of consumers reached per ad medium
Measure of Exposure Quality per ad medium
TV
$500
10000
30
Radio
$100
4000
40
Newspaper
$300
2000
25

Management has decreed that the advertising campaign must achieve a total exposure quality of at least 500 units. They have also decieded that the number of TV ads cannot exceed the number of radio ads by more than 5. Finally, the campaign has a total advertising budget is $100,000.

REQUIRED: Develop a linear programming model that will maximize the actual number of individual reached and which expresses all relevant constraints.
NOTE: YOU DO NOT HAVE TO SOLVE THIS LP PROBLEM. All you need to provide below is the proper and complete OBJECTIVE FUNCTION as well as all relevant CONSTRAINTS.
Click here to see answer by psbhowmick(878)

Question 872965: Andre rents beach chairs and umbrellas to tourists visiting the beach. On one Saturday, he has 150 customers. If he rents 125 chairs and 72 people rent both chairs and umbrellas, how many people rent umbrellas?
1.)25
2.)72
3.)97
4.)125
Click here to see answer by ewatrrr(24785)

Question 873090: How many minutes does it take to dive 70 feet at a rate of 20 feet per minute?
Click here to see answer by stanbon(75887)

Question 873112: the sum of the digits a two-digit number is 11. of the digits are reversed, the new number is 27 more than the original. find the original number
Click here to see answer by mananth(16946)

Question 873259: A gardening measuring 7 meters by 17 meters is to have a pedestrian pathway installed all around it, increasing the total are to 200 square meters. What will be the width of the pathway?

Click here to see answer by Seutip(231)

Question 873470: Bill earned a total 568 of points on his tests. If he earned an average (mean)71 of points per test, how many tests did he take?
Click here to see answer by harpazo(655)

Question 873573: ram and shyam works in the same factory. ram produces 45 articles in 1 hour and shamkant produce 40 articles in 1 hour. during one week shayam worked 5 more hours than ram but produced the same number of articles as ram. how many hours did ram worked that week?
Click here to see answer by josgarithmetic(39616)

Question 873683: this is probably really simple but if you could help me it would be greatly appreciated
You never believed in vampires , until you saw one for yourself. up until now he seems to have been living off stray puppies in the neighborhood. According to your friend, vampires only come out at night and they only feed two times a month. Feeding means sucking the blood of a human, and after they�re through, that person becomes a vampire, too. One month later, these new vampires will each be capable of turning 2 more people into vampires.
your friend explains. �At the next full moon, he�ll be looking for human blood. The good news is that there�s only one vampire in town.�There are 500,000 people living in this town, right? That means, unless we find the vampire before the next full moon, our town will soon be completely taken over by vampires!� Your friend doesn't believe you, so you have to prove it to him.
If the vampires feed only on people in your town, approximately how many months will it take for your 500,000-person town to become populated entirely by vampires?
Click here to see answer by richwmiller(17219)

Question 873672: Can you please help me out with this and help me solve this please? I am not sure how and would love to learn how!! Thank you so much in advance!
Inside a toy truck, there is a gear that rotates to (3, −8) when the steering wheel is turned to the left. What is the sine value of this function?
a) 3 square root of 73 all over 73
b) negative 8 square root of 73 all over 73
c) 3
d) −8
Click here to see answer by htmentor(1343)

Question 873869: Not sure how to work this problem. Any help would be appreciated.
An item currently costing $20 is increasing in cost by 5% per year. Write an equation to find the cost in n years.
Thank you very much:)

Click here to see answer by rothauserc(4718)

Question 874099: A researcher of a specific species of birds knows from experience that 70% of such birds find hidden sources of food immediately after being released. If the researcher releases 15 such birds, calculate the probability that exactly 5 of them find hidden sources of food.
Click here to see answer by Theo(13342)

Question 874166: Assume the average number of radioactive particles passing through a counter in a millisecond is 4. Use Poisson distribution to calculate the probability of 6 such particles in a millisecond.
Answer Choices:
A. probability < .100
B. .100 ≤ probability < .120
C. .120 ≤ probability < .140
D. probability ≥ .140

Click here to see answer by ewatrrr(24785)

Question 874061: Your seventh grade class made more than $600 for a class trip. This was done by selling (t) t-shirts at a profit of $5.50 per shirt and (c) caps at a profit of $2.25 per cap. write an inequality that models the relationship among t,c, and $600.
Thanks :)

Click here to see answer by ewatrrr(24785)

Question 874232: There are six eggs in a basket. Six people take one of the eggs each. How is it that one egg can still be left in the basket?
Click here to see answer by jim_thompson5910(35256)

Question 874228: There are a total of 126 dogs and cats at a shelter.For every 5 dogs there are 4 cats. How many dogs are in the shelter?
Click here to see answer by stanbon(75887)

Question 874069: How many houses can 10 people build if:
a) it takes a team of 3 people to build each house, and
b) each person can work on up to six houses.
Click here to see answer by KMST(5328)

Question 874023: Two bicycles begin at the same point on a circular path traveling in the same direction. The rate of one cyclist is 5 mph faster than the other. If it takes faster cyclist 3 hours to "lap" the slower cyclist, then determine the distance around the path. [Hint: The difference of the distance traveled equals one lap]. If the slower bicycle travels at 10 mph , how many laps did each bicycle make?
Click here to see answer by ankor@dixie-net.com(22740)

Question 874204: A city has been declining in population for the last 50 years. In the year 2000, the population was 571 thousand, and was declining at a rate of 0.77% per year. If this trend continues:
(a) Give a formula for the population of this city, P, in thousands, as a function of t, the number of years since 2000.
P=
(b) What is the predicted population in 2010?
The predicted population is thousand people.
(c) To two decimal places, estimate t when the population is 450 thousand people.
When there are 450 thousand people in this city, t≈
Click here to see answer by josgarithmetic(39616)

Question 874722: . mike is not capable of swimming more than 250 feet before resting. is there a way for mike to swim to the boat? round the solution to the nearest hundredth and indicate units.

Click here to see answer by ewatrrr(24785)

Question 874689: Click here to see ALL problems on Miscellaneous Word Problems
Question 874204: A city has been declining in population for the last 50 years.
I have not learned the number e yet, or ln. The answer I was given to this question did not make sense to me. :(
Please help me again!
In the year 2000, the population was 571 thousand, and was declining at a rate of 0.77% per year. If this trend continues:
(A) Give a formula for the population of this city, P, in thousands, as a function of t, the number of years since 2000.
P=
(B) What is the predicted population in 2010?
The predicted population is thousand people.
(C) To two decimal places, estimate t when the population is 450 thousand people.
When there are 450 thousand people in this city, t≈
Click here to see answer by rothauserc(4718)

Question 874797: The sum of a number is it's reciprocal is 65/8 determine the number
Click here to see answer by ewatrrr(24785)

Question 874798: Length of a rectangle is 6 inches less than twice the width if the area of the rectangle is 108 sq in determine the dimension of a rectangle

Click here to see answer by ewatrrr(24785)

Question 874796: 6 inches in length less than twicethe width. If area of the rectangle is 108 sq in, determine the dimension of the rectrangle
Click here to see answer by ewatrrr(24785)

Question 874815: Julie is laying on the ground and spots a bird up in the tree. The angle of elevation of Julie (on the ground) to the bird is 65◦. The bird is at the top of the 24 ft tree. To the nearest tenth of a foot, how far is Julie from the base of the tree?
Click here to see answer by ewatrrr(24785)

Question 874732: It takes barry 4 hours to paint his house by himself when working alone. Christy can complete the job by herself in 11 hours. How long will it take them to complete the job if they work together?
Click here to see answer by ankor@dixie-net.com(22740)

Question 874841: Suppose that a new employee starts working at $7.43 per hour, and receives a 3% raise each year. After time t, in years, his hourly wage is given by this function P(t)=$7.43(1.03) raised to the t
Click here to see answer by ewatrrr(24785)

Question 874842: hello, thank you for taking the time to help me. The problem; my car broke dowm Tow co charges $30 plus $3 per mile, I have $162 How many miles? I know how to solve, I need to discuss (1) identifying a variable, (2) writing an equation, (3)solving the equation, (4) writing the answer in a complete sentence. Can you help? Ty
Click here to see answer by mananth(16946)

Question 874878: At the end of a factory assembly line, completed widgets are deposited into a box until it is filled. If after 10 minutes the box contains 25 widgets and it takes 2 hours total to fill up a box, how many widgets must each box hold?
i understand the answer is 300 widgets from teachers test prep website but they do not explain the question. i am studying for the praxis 2. please help thank you !!
Click here to see answer by richwmiller(17219)

Question 874915: A merchant has two kinds of paint. If
9 gal of the inexpensive paint is mixed with 7 gal of the
expensive paint, the mixture will be worth $19.70 per
gallon. If 3 gal of the inexpensive paint is mixed with
5 gal of the expensive paint, the mixture will be worth
$19.825 per gallon. What is the price per gallon of each type of paint?
Click here to see answer by josgarithmetic(39616)

Question 874916: A goldsmith has two alloys that are different
purities of gold. The first is three-fourths pure gold
and the second is five-twelfths pure gold. How many
ounces of each should be melted and mixed in order to obtain a 6oz mixture that is two-thirds pure gold?
Click here to see answer by josgarithmetic(39616)

Question 874917: A private airplane leaves an airport
and flies due south at 192 mph. Two hours later, a jet
leaves the same airport and flies due south at 960 mph.
When will the jet overtake the plane?
Click here to see answer by mananth(16946)

Question 874918: A student walks and jogs to
college each day. She averages 5 km/h walking and 9km/h
jogging. The distance from home to college is
8 km, and she makes the trip in 1 hr. How far does the student jog?
Click here to see answer by lwsshak3(11628)

Question 875009: The population of the Northgoat neighborhood has been growing steadily since 1990. In 1995, the population was 48000 people. In 2004, it was 58800 people Find an equation in the form of y=mx+b, where x is the number of years past 1990 and y is the population of Northgoat.
I have tried this many ways: (1995,48000) (2004, 58800) getting a slope = 1200
then: y-48000=1200(x-1995), I came up with y=-10800x+102000
HELP, I am not getting this.

Click here to see answer by rothauserc(4718)

Question 762281: A family has two cars. During one particular week, the first car consumed 20 gallons of gas and the second consumed 25 gallons of gas. The two cars drove a combined total of 1375 miles, and the sum of their fuel efficiencies was 60 miles per gallon. What were the fuel efficiencies of each of the cars that week
First car = how many gallons?
Second car = how many gallons?
Click here to see answer by prekteacherlisa(1)

Question 875050: Bill and Thomas scored a total of 48 points in the basketball game. If Bill scored twice the number of points Thomas did, how many point did Thomas score?
Click here to see answer by lwsshak3(11628)

Question 875017: Describe whether the following study would most likely be "observational" or experimental", and why it would be so.
The nurses on the 5th floor record the medicines administered everyday and report results to the doctors.
Click here to see answer by jim_thompson5910(35256)

Question 875057: The Peterson family and the Gonzales family each used their sprinklers last summer. The Peterson family's sprinkler was used for 20 hours. The Gonzales family's sprinkler was used for 40 hours. There was a combined total output of 1800L of water. What was the water output rate for each sprinkler if the sum of the two rates was 55L per hour?
Peterson's family's sprinkler: L per hour
Gonzales family's sprinkler: L per hour
Click here to see answer by josgarithmetic(39616)

Question 875286: Find the minimum sample size required to estimate a population mean μ of daily
randfall. We want 99% confidence that the sample mean is within .010 inches of
the population mean, and the population standard deviation is known to be .212 inches.

Click here to see answer by reviewermath(1029)

Question 875440: if trey can clean a house in 6 hours and matt can clean a house in 8 hours. how long would it take for them to clean a house together?
Click here to see answer by josmiceli(19441)

Question 875481: A square and a rectangle have the same width. The length of the rectangle is 5 times the width. If the sum of the two perimeters is 112 cm, find the length of the rectangle
Click here to see answer by Theo(13342)

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, 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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