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

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Question 301972: The weight of a truck without load is 2000 kg. Today the load represents initially 80% of the total weight. At the first stop, they discharge a quarter of the load. What percentage of the total weight does then the load represent?
A) 20% B) 25% C) 55% D) 60% E) 75%

Click here to see answer by london maths tutor(243)

Question 302122: I really need HELP!!
Th"e number of acres of farmland in the US has decreased from 945 million acres in 2000 to 932 million acres in 2006. Assume the number of acres of farmland is decreasing exponentially.
a) Find the value k, and write an equation for an exponential function that can predict the number of acres of US farmland "t" years after 2000.
b) Predict the number of acres of farmland in 2015.
c) In what year (theorectically) will there be only 800 million acres of US farmland remaining?
Click here to see answer by stanbon(57361)

Question 302137: Solve the problem.
The population growth of an animal species is described by
F(t) = 700 + 50 log3 (2t + 1),
where t is measured in months. Find the population of this species in an area 13 month(s) after the species is introduced.
Click here to see answer by nerdybill(6962)

Question 302186: Julia, who is 1.51 m tall, wishes to find the height of a tree with a shadow 31.05 m long. She walks 20.70 m from the base of the tree along the shadow of the tree until her head is in a position where the tip of her shadow exactly overlaps the end of the tree top's shadow. How tall is the tree? Round to the nearest hundredth.

Click here to see answer by stanbon(57361)

Question 302253: Of 23 college sophomores at Crocodile Community College, 12 preferred pepperoni pizza, 7 preferred supreme, and 4 preferred cheese. If we picked a college sophomore at Crocodile Community College at random, theoretically what is the probability that he or she would prefer cheese? Give solution exactly in reduced fraction form.

Click here to see answer by checkley77(12569)

Question 302230: The cost of a long distance telephone call is determined by a flat fee for the first 5 minutes and a fixed amount for each additional minute. If a 15 minute telephone call costs $3.25 and a 23 minute call costs $5.17, find the cost of a 30 minute call.
Click here to see answer by ankor@dixie-net.com(15656)

Question 302455: can someone help me with this last homework question tonight. I will be forever grateful. Thank you
Click here to see answer by richwmiller(9143)

Question 302427: Linda can stuff 1000 envelopes in 6 hours. If Laura helps her, they can both stuff 1000 envelopes in 5 ½ hours. How long would it take Laura to stuff 1000 envelopes by herself
Click here to see answer by richwmiller(9143)

Question 302421: The price of a certain brand of crystal platter is direction proportional
Click here to see answer by richwmiller(9143)

Question 302338: What number comes next and why? 2,3,6,15,42,_____
Click here to see answer by scott8148(6628)

Question 302331: If the money is the same, what is a better buy, a 10 inch round pizza or a 9 inch square pizza?
Click here to see answer by ankor@dixie-net.com(15656)

Question 302576: Hi,
I've used this site a couple of time and found incredible people who are willing to help.
This is actually a problem that was given to my daughter, in the 4th grade, and I cannot even figure it out, if it can be?
The problem is: CAN you write the numbers 1,2,3,4,5,6,7,8, and 9 in these circles so that each line, including the one in the middle of the rhombus, adds up to 16? Use all 9 numbers only once. Gives hint, put 8 in the top circle, 7 in the middle and 9 on the bottom circle? That didn't make since to me immediatley. I will draw the diagram using x's and o's where the numbers go.

O
X X
O O
X X
O O O
X X
O O
X X
O
The x's just show how the diagram goes, the o's are where the numbers are supposed to be placed, if you put the numbers as they say, one Rhombus will equal 16 already, so how is this possible?
Thanks for any help!
Lise
Click here to see answer by richwmiller(9143)

Question 302613: The quantity (3 x 8^12) is how many times the quantity (3 x 8^5) ?
A 7 b 8 c 21 d 8^7 e 3 x 8^7

Click here to see answer by Fombitz(13828)

Question 302613: The quantity (3 x 8^12) is how many times the quantity (3 x 8^5) ?
A 7 b 8 c 21 d 8^7 e 3 x 8^7

Click here to see answer by Alan3354(30993)

Question 302886: suppose that 4000 is invested at an interest rate of 5.5% per year, compounded continuouly. what is the balance after 8 years?
Click here to see answer by solver91311(16897)

Question 302886: suppose that 4000 is invested at an interest rate of 5.5% per year, compounded continuouly. what is the balance after 8 years?
Click here to see answer by stanbon(57361)

Question 302893: The difference between two numbers is 3.2. The sum of the numbers is 46.4. What are the two numbers?
Click here to see answer by solver91311(16897)

Question 303059: In november, 200 people bought tickets to play. Then 16 people had to return the tickets for a refund. What percent of the people returned their tickets for a refund?
Click here to see answer by TX911(36)

Question 303055: If glen owns 12 trees more than twice what mary does, and together they own 72 trees, hown many does each one own?
Click here to see answer by rfer(12662)

Question 303078: Quinn can refinish hardwood floors four times as fast as Jack. They have to refinish 100 ft^2 of flooring. Working together, Quinn and Jack can finish the job in 3 hours. How long would it take each of them working alone?
Click here to see answer by mananth(12270)

Question 303141: given this data set:54 32 23 63 41 9 54 50 23 68 90 63 41 95 63 state the range.

Click here to see answer by Fombitz(13828)

Question 303157: a car travels at 80 kilometers per hours for 40 kilometers, 72 kilometers per hours for 48 kilometers and then 96 kilometers per hours for 32 kilometers. what is the average rate of speed over the entire trip
Click here to see answer by CharlesG2(828)

Question 303210: The tip of a blade of an electric fan is 1.5 feet from the axis of rotation . if the fan spins at a full rate of 1,160 revolutions per minute, how many miles will a point at the tip of a blade travel in one hour ? (1 mile = 5,280 feet)
a 30pi b 40 pi c 45 pi d 48 pi e 60 pi

Click here to see answer by CharlesG2(828)

Question 303077: Quinn can refinish hardwood floors four times as fast as Jack. They have to refinish 100 ft^2 of flooring. Working together, Quinn and Jack can finish the job in 3 hours. How long would it take each of them working alone?
Click here to see answer by ankor@dixie-net.com(15656)

Question 303234: Walking beside you, your friend takes 50 strides per minute while you take 48 strides per minute. If you start in step, when will you be in step again?
Click here to see answer by Fombitz(13828)

Question 303206: Find an equation for the line tangent to the graph of the function at a specified point. Equation should be in form y = mx+b at (4, 2/5)

Click here to see answer by Fombitz(13828)

Question 303197: If the price charged for a candy bar is p(x) cents, then x thousand candy bars will be sold in a certain city, where p(x) = 122-x/22. How many candy bars must be sold to maximize revenue. please include the steps needed to solve thank you in advance

Click here to see answer by nyc_function(2733)

Question 303236: The base of a triangle is 5cm greater that the height. The area is 42cm squared. Find the height and the base.
Click here to see answer by checkley77(12569)

Question 303335: The letters of the alphabet are writtten on slips of paper and placed in a hat. three letters are selected at random.
A. How many different combinations of three letters are possible?
B. How many combinations consist only of the letters A,C,H,I,K or Y?
C. What is the probability that the letters selected consist only of the letters A,C,H,I,K or Y?
Click here to see answer by dabanfield(803)

Question 303525: A right triangle has: hypotenuse of 16 cm, side of 6√3 cm. Find the other side.
Click here to see answer by mananth(12270)

Question 303514: How long would a wire have to be if a tree was 22 feet high and you needed the wire to be attached to the ground 14 feet from the base of the tree (at 90 degree angle)?
Click here to see answer by mananth(12270)

Question 303517: If a 120 foot rope was attached to the top of a 36 foot pole, how far from the base of the pole would the rope reach on the ground?
Click here to see answer by mananth(12270)

Question 303599: Three children ate 17 cookies altogether. Andrew ate more cookies than any other child. What is the smallest possible number of cookies that Andrew ate?
A. 5 B. 9 C. 6 D. 8 E. 7

Click here to see answer by london maths tutor(243)

Question 303522: If a rectangle has a diagonal of 22 inches and a width of 18 inches, how long is the length?
Click here to see answer by london maths tutor(243)

Question 303987: How many MPH (to the nearest 100th) is a car traveling if the wheels have a diameter of 3 feet and they are turning 600 times a minute?
Click here to see answer by mananth(12270)

Question 303991: It took a train 45 seconds to pass through a 1320-foot tunnel. At the same speed, it took 15 seconds for the train to pass a pole on the side of the tracks. How long was the train?
Click here to see answer by mananth(12270)

Question 303981: A castle in the faraway land of Aluossim was surrounded by four moats. One day, the
castle was attacked and captured by a fierce tribe from the north. Guards were stationed at each bridge.
Prince Juan was allowed to take a number of bags of gold from the castle as he went into exile. However,
the guard at the first bridge demanded half the bags of gold plus one more bag. Juan met this demand
and proceeded to the next bridge. The guards at the second, third, and fourth bridges made identical
demands, all of which the prince met. When Juan finally crossed all the bridges, a single bag of gold was
left. With how many bags did Juan start?
Click here to see answer by richwmiller(9143)

Question 304014: The will of an eccentric millionaire reads as follows: "In the following order, i leave 4/17 of my estate to my son, then 7/13 of the remainder to my wife, then 2/3 of the remainder to my daughter, and the remaining $2 million to my dog." What was the total amount of the millionaire's estate?
Click here to see answer by richwmiller(9143)

Question 304016: If the perimeter of a rectangle is 7 times the width, then its length is how many times the width?
Click here to see answer by mananth(12270)

Question 304060: The sum of two numbers is 22. Three times the smaller number minus two times the larger number is negitive 29. What is the smaller number?
Click here to see answer by mananth(12270)

Question 304043: Find two numbers whose sum is -6 and whose difference is -2 (please show steps)
Click here to see answer by mananth(12270)

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