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

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Question 993401: A stone is thrown vertically upward from the roof of a building. The formula that describes the height h (in feet) of the stone after "t" seconds is given below.
h=-16t^2+64t+40
How many seconds after the stone is thrown would it reach for the first time 100 feet in height?
Click here to see answer by Alan3354(69443)

Question 993463: A salesperson's weekly paycheck is 50% less than a second salesperson's paycheck. The two paychecks total $1125. Find the amount of each paycheck. (Round your answers to the nearest cent.)
Click here to see answer by macston(5194)

Question 993466: A rectangular flower garden has a length that is 3 feet less than twice it's width. A 3 foot brick border is added around the garden, and the area of the garden and the brick border is a total of 221 square feet. Find the dimensions of the garden without the brick border.
Click here to see answer by josgarithmetic(39613)

Question 993628: A cell company charges a monthly fee of 100 pesos for the first 1000 text messages, and 1 peso for each additional text message. Karen's bill for text messages for the month of May is 385 pesos. How many text messages did she send that month?
Click here to see answer by Cromlix(4381)

Question 993672: From a point on a straight road, two cars are driven opposite directions, one at 50miles per hour and the other 40 miles per hour. in how many hours will they be 450 miles apart?
Click here to see answer by Cromlix(4381)

Question 993673: Fine the measure of an angle such that the sum of the measures of its compliment and its supplement is 118 degrees.
Click here to see answer by fractalier(6550)

Question 993690: there are two types of tickets for a school play thethe total cost for one student ticket and one general ticket is $11. the total cost for 14 student tickets 9 general tickets is $119. how much does a student ticket cost?
Click here to see answer by Boreal(15235)

Question 993669: There are two types of tickets for a school play, the total cost for one student ticket and one general ticket is $11, the total cost for 14 student tickets and 9 general tickets is $119 how much does a student ticket cost?
Click here to see answer by ankor@dixie-net.com(22740)

Question 993755: A hog weighs twice as much as a sheep. Together they total 285 kg. How much does each weigh?
Click here to see answer by Alan3354(69443)

Question 993753: A ship left a port and sailed east at a rate of 20 mph. one hour later a second ship left the same port at the rate of 25 mph, also headed east. In how many hours did the second ship over take the first ship?
Click here to see answer by lwsshak3(11628)

Question 993858: Hi
how many complete circles of 4cm radius can be cut from a fabric measuring 5m by 1.3m.
thank you
Click here to see answer by jhunjiro(67)

Question 993858: Hi
how many complete circles of 4cm radius can be cut from a fabric measuring 5m by 1.3m.
thank you
Click here to see answer by ikleyn(52748)

Question 993944: A ball rolls off a desk at a speed of 3.0 m/s and lands .40 seconds later.
a) how far from the base of the desk does the ball land?
Click here to see answer by Alan3354(69443)

Question 993920: aiden typed h words in 3 hours how many words per minute did aiden type?

Click here to see answer by Theo(13342)

Question 993862: A florist sells roses for $1.50 each and carnations for $0.85 each. Suppose you purchase a bouquet of 1 dozen flowers consisting of roses and carnations.
A) Let x represent the number of roses purchased. Write an expression in terms of x that represents the number of carnations purchased.
B) Write the expression that represents the cost of purchasing the carnations.

Click here to see answer by fractalier(6550)

Question 993938: Cody built a pyramid of Lego. He rectangular Lego that were four bumps by two bumps. He started with one Lego in the top level. Underneath that he put in as many Lego as needed to leave one row of bumps all the way around the outside on each level. He was able to make ten layers on his pyramid before he ran out of Lego. The inside of the pyramid is completely filled in with Lego, many which are not visible to someone looking at the top of the pyramid.
a. How many Lego are in the Pyramid?
b. How many bumps total on all levels are visible on the outside of the pyramid?
c. If Cody had an infinite supply of Lego, how many total bumps on all levels would be visible in a pyramid with "n" layers of Lego?
Click here to see answer by solver91311(24713)

Question 994014: A particle is moving around the ellipse 4x^2+16y^2 = 64. At any time t its x and y coordinates are given by x = 4cos(t) and y = 2sin(t). At what rate is the particle's distance to the origin changing when t = π/4?
I know this is a related rates problem. But I don't know how to set this problem up in order to solve.
Thank you
Click here to see answer by KMST(5328)

Question 994039: in a cage there are pigeons and rabbits of there are 20 heads and 48 feet, then how many rabbits are there ?
Click here to see answer by Boreal(15235)

Question 994069: After the first three, the next would be 61. You'll want to do that again then add one hundred 63
Click here to see answer by Alan3354(69443)

Question 994013: related rates problem:
The spool of a kite is held fixed at 5 feet above the ground. The kite is 105 feet above the ground and traveling eastward in a horizontal fashion. The string is being let out at 2ft/sec. Find the horizontal speed of the kite when 125 feet of string are let out.
Please explain how to set one of these type problems up. Very confused here.
Thank you

Click here to see answer by stanbon(75887)

Question 994068: Denzel's first three test scores in math or 90 190 what must Denzel score on his fourth test to keep his mean score at 90 or higher
Click here to see answer by stanbon(75887)

Question 994094: 19 824 tickets were sold for a rock concert. If they needed to sell 1 million dollars worth of tickets, about how much would each ticket need to be?

Click here to see answer by solver91311(24713)

Question 994144: daniel is 30 years old and meg is 22 years old. how many years ago was daniel twice as old sa meg?
Click here to see answer by stanbon(75887)

Question 994252: Mountain climber Joe climbed to a mountain peak that was1200 feet above its base and 1500 feet east of its base. Mountain climber Bob climbed to a mountain peak that was 900 feet above its base and 1000 feet east of its base.
Click here to see answer by Alan3354(69443)

Question 994322: If 2 students in the typing pool can type 210 pages in 3 days,how many students needed to type 700 pages in 2 days
Click here to see answer by MathTherapy(10549)

Question 994321: Tom can watch 44 plates in three minutes. How many seconds will take them to wash 12 plates
Click here to see answer by josmiceli(19441)

Question 994483: There are 18 more sophomores than juniors in an algebra class. If there are 78 students in this class, find the number of sophomores and the number of
juniors in the class.

Click here to see answer by macston(5194)

Question 994516: a bag of fertilizer covers 3000 square feet of lawn .how many bags should be purchased to cover a rectangular lawn 240 feet by 120 feet
Click here to see answer by macston(5194)

Question 994513: Very confused on how to solve this related rates problem:
Suppose a spherical balloon grows in such a way that after t seconds, its volume V is given by V = 4 √(t) cm^3.

After 64 seconds the radius of the balloon is r =
How fast is the radius changing after 64 seconds?
dr/dt =

Thank you!
Click here to see answer by rothauserc(4718)

Question 994569: Sandy bought a soft drink for $2 and four candy bars.She spent a total of $14.How much did each candy bar cost?

Click here to see answer by solver91311(24713)

Question 994569: Sandy bought a soft drink for $2 and four candy bars.She spent a total of $14.How much did each candy bar cost?

Click here to see answer by stanbon(75887)

Question 994582: Water is poured into a conical paper cup at the rate of 3/2 in^3/sec . If the cup is 6 inches tall and the top
has a radius of 3 inches, how fast is the water level rising when the
water is 3 inches deep?
The water level is rising at a rate of____
Thank you
Click here to see answer by KMST(5328)

Question 994635: Don and Jacob want to know who reads more pages per hour. Don keeps track of the number of pages he reads in a graph, and Jacob keeps track of how many pages he reads in a table.

How many pages per hour does each boy read, and who reads at a faster rate?

Don:
pages per hour

Jacob:
pages per hour

The person who reads faster is:
(Type D for Don or J for Jacob)
Click here to see answer by Alan3354(69443)

Question 994690: Please help me solve this problem:
The area of a rectangular lot is to be 1456 quare feet. If the width of the lot is 24 feet less than the length, what is the dimention of the lot?
Click here to see answer by stanbon(75887)

Question 994728: I buy 30 ft3 of stuffing for a crafts project, but the instructions are in in3. How many in3 of fabric do I have?
Click here to see answer by MathLover1(20849)

Question 994843: Cara and Craig, working together, can mow the lawn in 8 hours. Working alone, Craig takes twice as long as Cara. How long does it take Cara to mow the lawn alone?
Click here to see answer by ikleyn(52748)

Question 994987: you need a new cell phone for emergencies only. Company A charges $12 per month plus .10 cents a minute. While company B charges .15 cents per minute with no monthly charge. For how many minutes will the monthly cost be the same?
Click here to see answer by ryandaherr(1)

Question 994992: A rug was originally priced at $60, but Candice waited to buy it until the rug was on sale for 50% off. If she paid 10% sales tax on the sale price, how much did she pay in total?

Click here to see answer by Boreal(15235)

Question 995005: Cynthia download some songs from the internet. Breda download 18 songs. Wich was three times as
cynthia. How many songs did both girls download together.?
Click here to see answer by josmiceli(19441)

Question 995009: There were 17 million people that went through Ellis Island by ship. 1 round trip was 2 weeks in length. If 3000 people could fit onto one ship, and there were 250 ships available;
How many trips could a single ship take?
How many trips total were made?
How many years would it take to transport all the people?
Click here to see answer by addingup(3677)

Question 995064: When Mr. Baker is harvesting his corn, he drives 3 miles per hour. One day he harvested corn for 6 hours. How many miles did he drive during that time?
Click here to see answer by EdenWolf(517)

Question 995234: The volume for a cylinder with radius and height is
V= piesymbolr^2h.
If the diameter of the cylinder,w, is equal to one-fifth the height, write V as a power function of w.
Click here to see answer by Alan3354(69443)

Question 995239: The volume for a cylinder with radius,r, and height,h, is
V= pi*r^2h.
If the diameter of the cylinder,w, is equal to one-fifth the height, write V as a power function of w.
Click here to see answer by josgarithmetic(39613)

Question 995362: The sum of the digits of a two digit number is 12. The tens digit is 2 less than the units digit. Find the number.

Click here to see answer by rothauserc(4718)

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, 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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, 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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, 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