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

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Question 179248: an angry construcion worker throws his wrench downward from a height of 128 feet with an intital velocity of 32 feet per second. the height of the wrench above the ground after t seconds is given by s(t)=-16t^2-32t+128.
A) what is the heigh of the wrench after 1 second ?
B)how long does it take for the wrench to reach the ground

Click here to see answer by nerdybill(7384) About Me 

Question 179314: An executive in an engineering firm earns a monthly salary plus a Christmas bonus of dollars. If she earns a total of dollars per year, what is her monthly salary in dollars?
I am not sure where to begin to solve this problem, could someone help me please, thank you for your time, for it is greatly appreciated.

Click here to see answer by Mathtut(3670) About Me 

Question 179317: An executive in an engineering firm earns a monthly salary of plus a Christmas bonus of 7700 dollars. If she earns a total of 99400 dollars per year, what is her monthly salary in dollars?
I am not sure how to begin solving this problem, any help would be greatly appreciated, and thank you for your time.

Click here to see answer by Mathtut(3670) About Me 
Question 179317: An executive in an engineering firm earns a monthly salary of plus a Christmas bonus of 7700 dollars. If she earns a total of 99400 dollars per year, what is her monthly salary in dollars?
I am not sure how to begin solving this problem, any help would be greatly appreciated, and thank you for your time.

Click here to see answer by solver91311(24713) About Me 

Question 179319: how many possible six digit number combination you can have if you are given a range of 1 to 42? write all the possible number combination.
hope someone could help me huhuuhu... thanks!!

Click here to see answer by vleith(2983) About Me 

Question 179325: Write the converse, inverse, and contrapositive of the following conditional statement
If a dog is barking, then it will not bite

Click here to see answer by Fombitz(32388) About Me 
Question 179325: Write the converse, inverse, and contrapositive of the following conditional statement
If a dog is barking, then it will not bite

Click here to see answer by Edwin McCravy(20054) About Me 

Question 179324: s) Let p, q, and r be the following statements:
p: Mike is sailing
q: Alice is on vacation
r: Sam is in town
Thanks for your help!

Click here to see answer by Fombitz(32388) About Me 

Question 179357: the length of a rectangle is 5 feet more than it's width. the area of the rectangle is 176 sq ft. find the length and the width of the rectangle
Click here to see answer by Mathtut(3670) About Me 

Question 179372: ) Let p, q, and r be the following statements:
p: Mike is sailing
q: Alice is on vacation
r: Sam is in town
Translate the following statement into English: (p and not q) if then not r
Mike is sailing and Alice is not on vacation therefore, Sam is not in town.
This is my answer, is it correct...?

Click here to see answer by Mathtut(3670) About Me 

Question 179373: Determine the truth value of the statement: not q if and only if [not r and (p or q)] when p is false, q is true, and r is true. HUH???
Click here to see answer by Mathtut(3670) About Me 

Question 179436: A plumber cuts a 75 inch pipe into 3 pieces. If the longest piece is three tims the smallest piece and the middle sized piece is two more than the smallest. what is the length of all three pieces?
Click here to see answer by jojo14344(1513) About Me 

Question 179265: Castel and Gabriella are selling pies for a school fundraiser. Customers can buy apple pies and lemon meringue pies. Castel sold 6 apple pies and 4 lemon meringue pies for a total of $80. Gabriella sold 6 apple pies and 5 lemon meringue pies for a total of $94. What is the cost each of one apple pie and one lemon meringue pie?
Click here to see answer by jojo14344(1513) About Me 

Question 179454: 8) Bob is pulling a 60’ rope that is tied to the top of a 48’ tree. How far from the base of the tree is Bob. (Use the Pythagorean theorem if you like, which is very helpful in many real life ways)
Click here to see answer by vleith(2983) About Me 

Question 179318: Two television monitors sitting beside each other on a shelf in an appliance store have the same screen height. One has a conventional screen, which is 3 inches wider than it is high. The other has a wider, high-definition screen, which is 1.8 times as wide as it is high. The diagonal measure of the wider screen is 18 inches more than the diagonal measure of the smaller. What is the height of the screens, correct to the nearest 0.1 inch?
Click here to see answer by ankor@dixie-net.com(22740) About Me 

Question 179264: The school that lisa goes to is selling tickets to the annual talent show. On the first day the school sold 4 senior citizen tickets and 5 student tickets for a total of $102.00. The school took in $126.00 on the second day by selling 7 senior citizen tickets and 5 student tickets. What is the price each of one senior citizen ticket and one student ticket?
Click here to see answer by josmiceli(19441) About Me 

Question 179588: 82. sports- You throw a baseball straight up into the air a a velocity of 45 feet per second. you release the baseball at a height of 5.5 feet and catch it when it falls back to a height of 6 feet.
a. use the position equation to write a mathematical model for the height of the baseball.
b. find the height of the baseball after 0.5 second.
c. How many seconds is the baseball in the air (use a graphing utility to verify the answer.)

Click here to see answer by stanbon(75887) About Me 

Question 179610: State a valid conclusion for hte following statements:
If a person can do all the problems assigned for homework in their college course then they will pass the final exam in that college course.
Math 101 is a college course.
Kirsten can do all the problems in her Math 101 course.

Click here to see answer by Mathtut(3670) About Me 

Question 179591: 84. Rabies vaccination- The game comission plane, flying at 1100 feet, drops oral rabies vaccinations pellets into the game preserve.
a. find the position equation of the model height of the vaccination pellets.
b. the plane is flying at 95 miles per hour. how far will the pellets travel horizontally during its decent?

Click here to see answer by stanbon(75887) About Me 

Question 179646: We can use the Pythagorean theorem to solve problems that involve right triangles. Provide an example of a day-to-day situation that involves right triangles and the use of the theorem
Click here to see answer by Mathtut(3670) About Me 

Question 179647: We can use the Pythagorean theorem to solve problems that involve right triangles. Provide an example of a day-to-day situation that involves right triangles and the use of the theorem
Click here to see answer by Mathtut(3670) About Me 

Question 179644: A drug manufacturing company wants to manufacture a capsule that contains a spherical pill inside. The diameter of the pill is 4mm and the capsule is cylindrical, with hemispheres on either end. The length of the capsule between the two hemispheres is 10mm. Describe how we could find the exact volume the capsule will hold, excluding the volume of the pill. What is the value that you get from your calculation? Why is it important for us to be able to determine the exact volume of that capsule?

Click here to see answer by stanbon(75887) About Me 

Question 179663: A chemistry instructor has one solution that is 50% sulfuric acid and another
that is 20% sulfuric acid. How much of each should she use to make 12 liters of a solution that is 30% acid?

Click here to see answer by Mathtut(3670) About Me 

Question 179669: A diagonal walk through a small rectangular garden 9 meters by 12 meters can be built at $10 per linear meter. How much will the walk cost?
Click here to see answer by Mathtut(3670) About Me 

Question 179679:
What is the area of a circle with diameter 34mm?

Click here to see answer by checkley77(12844) About Me 
Question 179679:
What is the area of a circle with diameter 34mm?

Click here to see answer by Alan3354(69443) About Me 

Question 179678: Sam wishes to fertilize his lawn that is 75 feet by 207 feet. The fertilizer is on sale for $5.25 per bag. Each bag covers 575 square yards. What is the cost to fertilize his yard?
Click here to see answer by checkley77(12844) About Me 

Question 179677: A drinking glass is in the shape of a cylinder that is 60mm in diameter and 15cm tall. How many cubic centimeters of water will it hold?
Click here to see answer by Alan3354(69443) About Me 
Question 179677: A drinking glass is in the shape of a cylinder that is 60mm in diameter and 15cm tall. How many cubic centimeters of water will it hold?
Click here to see answer by checkley77(12844) About Me 

Question 179718: A gold smith combined an alloy that costs $430 per gram with an alloy that costs $180 per gram. How many grams of each were used to make a mixture of 200 grams that cost $250 per gram?
Click here to see answer by stanbon(75887) About Me 

Question 179752: Create a graph with four odd vertices
Can you show me please???

Click here to see answer by Edwin McCravy(20054) About Me 

Question 179721: Bob is pulling a 60’ rope that is tied to the top of a 48’ tree. How far from the base of the tree is Bob? (Use the Pythagorean theorem, which is very helpful in many real life ways if you wish)


Click here to see answer by checkley77(12844) About Me 

Question 179809: Explain in your own words the law of large numbers. Provide an example to illustrate.

Click here to see answer by stanbon(75887) About Me 

Question 179803: The sum of the digits of a two-digit number is 9. If the digits are reversed, the number is 27 less than the original. Find the original number.
Click here to see answer by ankor@dixie-net.com(22740) About Me 

Question 179867: I am totally lost as where to start or set this up. Could you please help
me?
A water tank has an inlet pipe and a drain pipe. A full tank can be emptied in 30 minutes if the drain is opened and an empty tank can be filled in 45 minutes with the inlet pipe opened.If both pipes are accidently opened when the tank is full, then how long will it take to empty the tank? Thanks, Judy

Click here to see answer by solver91311(24713) About Me 
Question 179867: I am totally lost as where to start or set this up. Could you please help
me?
A water tank has an inlet pipe and a drain pipe. A full tank can be emptied in 30 minutes if the drain is opened and an empty tank can be filled in 45 minutes with the inlet pipe opened.If both pipes are accidently opened when the tank is full, then how long will it take to empty the tank? Thanks, Judy

Click here to see answer by Mathtut(3670) About Me 

Question 179908: A group of people purchased 8 hotdogs and 5 soft drinks at a cost of $16.00. A second group purchased 13 hotdogs and 6 soft drinks for a cost of $23.45. What is the cost of a single hotdog and a single soft drink?

Click here to see answer by Fombitz(32388) About Me 

Question 179920: Tara plans to take a bath, but forgets to close the drain. The bath usually takes 10 minutes to fill and 12 minutes to empty. How long will it be before the bath is filled if Tara continues not to notice that the drain is open?
Click here to see answer by Mathtut(3670) About Me 

Question 179951: Disregarding wind resistance, the distance a body falls from rest varies directly as the square of the time it falls. If a skydiver falls 64ft in 2 seconds, how far will he fall in 10 seconds?
Click here to see answer by Mathtut(3670) About Me 

Question 179897: a boat was able to cover 90 kms. downstream in 3 hours. it was able to return to its original position in 4 1/2 hours. what was the speed of the boat and the speed of the curent?
Click here to see answer by ankor@dixie-net.com(22740) About Me 

Question 180009: Suppose you are playing a word game with seven distinct letters. How many seven-letter words can there be?
Click here to see answer by Alan3354(69443) About Me 

Question 179968: The cost of pipe at Home Depot varies jointly as the length and diameter of the pipe. If 20 feet of 0.5 inch diameter pipe costs $36.60, then what is the cost of 12 feet of 0.75 inch diameter pipe?
Click here to see answer by ankor@dixie-net.com(22740) About Me 

Question 180018: The frequency of a vibrating string varies as its length. A string 3 feet long vibrates 175 cycles per second. Find the frequency of a 5 foot string.
Click here to see answer by Alan3354(69443) About Me 

Question 180012: Case Eastern Junior College awarded 26 varsity letters in crew, 15 in swimming, and 16 in soccer. If awards went to 46 students and only two lettered in all sports, how many students lettered in two of the three sports?
Click here to see answer by josmiceli(19441) About Me 

Question 180051: please help me...

You are about to take a test containing questions of Type A worth four points and type B worth 7 points. You must do at least 5 questions of type A, but time does not permit you to do more than 10. You must do at least 3 questions of type B, but time does not permit you to do more than 10. In total, you can do no more than 18 questions. How many of each type of question must you do to maximize your score? What is the maximum score?

please help its so hard and long! thanks..

Click here to see answer by stanbon(75887) About Me 

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, 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