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

Tutors Answer Your Questions about Miscellaneous Word Problems (FREE)

Question 339928: A ball is thrown straight upward at an initial speed of 149 feet per second.

h=-16⁢t2+149⁢t
When does the ball reach the highest point?
Click here to see answer by nerdybill(7384)

Question 339154: The speed of train A is 20mph slower than train B. Train A travels 280 miles in the same time it takes train B to travel 180 miles, find the speed of each train.
The speed of train A = ?
The speed of train B = ?

Click here to see answer by Fombitz(32388)

Question 339926: The fish population in a certain lake rises and falls according to
the formula.
F=1000(30+15t-t2).
Here F is the number of fish at a time t , where t is measured in years
since January 1, 2002. Use this information to answer the following
questions.

1. The fish population will again be the same as on January 1, 2002
on the date January 1,_________(that is____________ years later).

2. All the fish in the lake will die after 'approximately'
t=_________________years (the answer might be a decimal numbers)
Click here to see answer by jrfrunner(365)

Question 339923: A ball is thrown straight upward at an initial speed of 136 feet per seconds.
From Physics it is known that, after t seconds, the ball reaches a height h feet given by the formula h=-16t2+136t.

Answer the following questions:
1. The ball reaches the height of 26.56nft after
t1=____________seconds

and
t2=___________seconds (with t1≤t2).

2. Does it reach the height of 389 feet ?
(Y or N)

3. The greatest height reached by the ball is
____________________feet.

4. The ball reaches the highest point after
t=_________seconds.

5. The ball hits the ground after
t=__________seconds
Click here to see answer by solver91311(24713)

Question 339849: I am stuck on this problem that has to do with an application problem dealing with inequalities.
Consumeration: During a weekday, to call a city 40 miles away from a certain pay phone costs $.70 for the first 3 min. and $.15 for aeach additional minute. If you use a calling card, there is a $.35 fee, and then the rates are $.196 for the first min. and $.126 for each addition minute. How many minutes must a call last if it is to be cheaper to pay with coins rather than a calling card?
I came out with 7 min or less. I had to do it by making columns and then adding for each minute.
I then set up a problem:
70
___ (3) + .015x > .035 = .196 x 1 + .126
3
I'm sure these are not right. I did come up with the right answer when I added in columns for each minute.
Thanks

3
Click here to see answer by ankor@dixie-net.com(22740)

Question 340204: The velocity (in ft/s) of a sky diver t seconds after jumping is given by
v(t)= 60 (1-e^-.2t)
After how many seconds is the velocity 50 ft/s?

Click here to see answer by nyc_function(2741)

Question 340376: The markup on a television set is 20 percent of the cost. The markup is what percent of the selling price?
(markup = selling price - cost)
(A) 8%
(B) 10%
(C) 12.5%
(D) 15%
(E) 16.66%

Could you please kindly provide me the solution of the above problem.

Thanks
Click here to see answer by stanbon(75887)

Question 340391: Interest compounded continuously. Suppose that P 0 is invested in a savings account where interest is compounded continuously at 3.1% per year. * a) Express P(t) in terms of P0 and 0.031. * b) Suppose that $1000 is invested. What is the balance after 1 yr? after 2 y...
Click here to see answer by solver91311(24713)

Question 340466: The square of a positive number is six more than five times the positive number. Find the number.

Thank you for helping me! I am really confused how to start this equation.
Click here to see answer by Fombitz(32388)

Question 340519: If an object is thrown upward with an initial velocity of 96ft. per second, its height after 1 sec. is given by h=96t + 16t^2. Find the number of seconds before the object hits the ground.
Click here to see answer by Alan3354(69443)

Question 340509: A rectangular garage is 9ft longer than it is wide. If the area of the garage is 630ft.^2, find the length and the width.
Click here to see answer by checkley77(12844)

Question 340569: The sum of two of the numbers is six. The sum of the squares of the two numbers is twenty. Find the two numbers.
Okay, so far I was thinking the first equation would look like x+x=6, and the second equation would look like (x+x)^2=20. Is this correct? Thank you for your time!
Click here to see answer by Alan3354(69443)

Question 340150: Mr. barnes is a lumberjack. using his power saw, he can cut a long into 5 pieces in 6 minutes. How long would it take him to cut the log in to 7 pieces?
Click here to see answer by ankor@dixie-net.com(22740)

Question 340786: A 24 ft. board is cut into 2 sections,one is three times as long as the other. How long is each section?
Click here to see answer by rfer(16322)

Question 340810: A 45ft wire is split into 3 pieces. One is 15 ft,another is to be 2 ft less than 3 times the length of the last? Find the length of all the pieces?
Click here to see answer by mananth(16946)

Question 340878: A social club charters a plane at a cost of
$34848

to take a group of members on an excursion to Atlantic City.

At the last minute,
11
people in the group decide not to go.

This raises the transportation cost per person by
$24
.

How many people originally intended to take the trip?

Click here to see answer by stanbon(75887)

Question 340843: Water covers 70.7%, or about 363�106 km2, of the earth's surface. Approximate the total surface area of the earth. (Round your answer to the nearest million.)
Click here to see answer by CharlesG2(834)

Question 340948: Find three consecutive integers such that the sum of the first plus one-third of the second plus three-eighths of the third is 25
Click here to see answer by CharlesG2(834)

Question 340849: The hundred's digit of of a number of three figures is 1/2 of the ten's digit and is less than the unit's digit by 3. If the number be divided by the sum of its digits, the quotient is 22.Find the number.
Click here to see answer by ptaylor(2198)

Question 341028: three times the difference of a number and seven is twice the number increased by four. What is the equation?
Thanks...
Confused Father of an overtly smart child!!!
Click here to see answer by Fombitz(32388)

Question 341087: Demand for residential electricity at 6:00 P.M. on the first Monday in October in Santa Theresa County is normally distributed with a mean of 4,905 MW (megawatts) and a standard deviation of 355 MW. Due to scheduled maintenance and unexpected system failures in a generating station the utility can supply a maximum of 5,200 MW at that time. What is the probability that the utility
will have to purchase electricity from other utilities or allow brownouts?
So I have tried this:
(5200-4905)/355 = 0.830986
I do not know if I have answered this question correctly. Please review and help me, if you can.
Thank you!!
Click here to see answer by stanbon(75887)

Question 341102: Of the 16 students at a party, 4 are from Colorado, 5 are from Utah, and 7 are from Ohio. Four students are selected at random from this group of 16 students. Find the following probablities:
a. All four of the students are from Ohio.
b. None of the students are from Utah.
c. At least one of the students is from Utah.
Click here to see answer by stanbon(75887)

Question 341206: In 2006 the population of mexico was 107.4 million. If Mexico's population continues to grow at an annual rate of 1.43%, then the population in 2008 will be (1.0143) to the power 14 million.
a) Find the predicted population in 2020 to the nearest tenth of a million people.

I have had lots of trouble with one because I do not remember the formula
Click here to see answer by rfer(16322)

Question 341239: In 2006 the population of the united states was 300.2 million. If the population continues to grow at an annual rate of 1.05% then the population in the year 202 will be 300.2(1.0105) to the power 14 million.
A) Evaluate the expression to find the predicted population in 2020 to the nearest tenth of a million people. :-) Thanks
Click here to see answer by stanbon(75887)

Question 341161: The manager at Cream of the Crop bought a load of watermelons for $180. She priced the melons so that she would make $1.50 profit on each melon. When all but 20 had been sold, the manager had recovered her initial investment. How many did she buy originally?

I am totally confuse with this word problem. I can't for the life of me figure it out, so can somone please help me.

Click here to see answer by mananth(16946)

Question 341341: The cost of maintenance on an automobile increases each year by 10% and Andrew paid $300 this year for maintenance on his automobile. If the cost c for maintenance on Andrew�s automobile n years from now is given by the function
c(n) = 300x^n , what is the value of x?
A. 0.1 B. 0.3 C. 1.1 D. 1.3 E. 30
Click here to see answer by Theo(13342)

Question 341351: In a race from pt. X to pt Y and back, Jack averages 30miles/hr to pt Y and 10 miles/hr back to pr X.Sandy averages 20 miles/hr in both directions. If Jack and Sandy start race at same tym, who�ll finish 1st ?
Click here to see answer by Alan3354(69443)

Question 341335: Kim purchased n items from a catalog for $8 each. Postage and handling charges consisted of $3 for the first item and $1 for each additional item. Which of the following gives the total dollar amount of Kim�s purchase, including postage and handling, in terms of n ?
(A) 8n+2
(B) 8n+4
(C) 9n+2
(D) 9n+3
(E) 9n+4

Could please explain the above problem. Would really appreciate.

Thanks
Click here to see answer by edjones(8007)

Question 341548: Complete the following statements with never, sometimes, or always.
1. There are _______ an infinite number of solutions to a two variable equation in standard form.
2. The graph of a linear equation ________ has an x-intercept.
3. If y varies directly with x, the constant of variation k is _______ negative.
Below is the answers I got and wanted to check to make sure I understood the reading, any help with these questions is much appreciated. Thanks.
1. always
2. always
3. never
Click here to see answer by stanbon(75887)

Question 341621: A certain scale only registers weights that are greater than 6 pounds. A person who wanted to know the weights of a puppy, a kitten, and a bunny weighted them in pairs and go the following results.
The kitten and the bunny weighted 7 pounds.
The kitten and the puppy weighted 8 pounds.
The bubby and the puppy weighed 9 pounds.
What is the weight of the puppy?
A. 2 pounds B. 3 pounds C. 4 pounds D. 5 pounds E. 6 pounds

Click here to see answer by stanbon(75887)

Question 341602: A jeweler has 2 rings, each weighing 24 g, made of an alloy of 5% silver and 95% gold. She decides to melt down the rings and add enough silver to reduce the gold content to 80%. How much silver should she add?
Click here to see answer by stanbon(75887)

Question 341880: twice a certain number plus three times the same number is 135. Find the numbers?
Click here to see answer by tracher28(1)

Question 341918: three motorcyclist rides around a circular race course starting at the same place and the same time. The first passes the starting point every 12 mins, the second every 18 mins, and the third every 16 mins. After how many mins will all three pass the starting point again at the same time. Explain.
Click here to see answer by ankor@dixie-net.com(22740)

Question 341947: The number of long distance phone calls between two cities in a certain time period varies directly as the populations p1 and p2 of the cities, and inversely as the distance between them. If 10,000 calls are made between two cities 500 mi apart, having populations of 50,000 and 125,000, find the number of calls between two cities 800 mi apart, having populations of 20,000 and 80,000.

Please help me solve this. It was in the variations portion of my textbook. Not sure where to begin. Thanks!
Click here to see answer by stanbon(75887)

Question 341811: in a singles tennis tournament, 111 players participated. when a player lost one match, he was eliminated from the tournament. how many matches must be played to determine an overall champion?
Click here to see answer by scott8148(6628)

Question 342037: A merchant has 5 pounds of mixed nuts that cost $30.He wants to add peanuts that cost $1.50 per pound and cashews that cost $4.50 per pound to obtain 50 pounds of a mixture that costs $2.90 per pound. How many pounds of peanuts are needed?
Click here to see answer by checkley77(12844)

Question 342109: How can $58,000 be invested, part at 10% annual simple interest and the remainder at 8% annual simple interest, so that the interest earned by the two accounts will be equal.
Please help. I can set up the equation if the total annual simple interest earned for 1 year was given, but this one is a little over my head.
Click here to see answer by checkley77(12844)

Question 342206: A nut mixture contains 10% cashews. How many kilograms of the mixture and how many kilograms of the cashews should be mixed to give 6 kg of a nut mixture which is 25% cashews?
Click here to see answer by Fombitz(32388)

Question 342313: Time Temperature
5:00 -10.2
7:00 -6.1
9:00 -2.3
11:00 4
The table gives both time and temperature.How much higher was the temperature at
9 o�clock that 5 o�clock?
(A)3.8 (B) 4.1 (C) 7.9 (D) 10.1 (E) 12.5
Click here to see answer by mananth(16946)

Question 342272: In how many ways can you walk up a stairway that has 7 steps if you can take 1 or 2 steps at a time.
Click here to see answer by Theo(13342)

Question 342309: The cost of family member ship in a municipal pool is $10 for each member of the family plus $30 for a parking permit. Express this cost as a function of p, the number of people in a family using one car?
(A) f(p)= 40p
(B) f(p)= 10p + 30
(C) f(p)= 30p + 10
(D) f(p)= 10p + 1
(E) f(p)= 30p + 1
Click here to see answer by stanbon(75887)

Question 342255: a forest contains 843,000 trees of a certain species. statistical studies show that the number of leaves on these trees varies from a low of 943 to a high of 3722. at least how many trees must have the same number of leaves?
Click here to see answer by nyc_function(2741)

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