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

Tutors Answer Your Questions about Miscellaneous Word Problems (FREE)

Question 377585: A car hire company offers two plans A and B. In plan A, a customer pays a flat fee of $20 for the day plus 5 cents for each kilometer. In plan B, a customer pays a flat fee of $15 for the day plus 7 cents for each kilometer. For how many kilometers would a customer pay the same amount for the two plans?

Click here to see answer by rfer(12644)

Question 377617: the cost of building x picnic tables is given by the formula, C(x)= x^2-12x+72. how many picnic tables should mr. denison build to have a minimum cost? what is that minimum cost?
Click here to see answer by edjones(7569)

Question 377537: Bonnie's average score on three tests is 7 1 . Her first two test scores are 64 and 87. What is her score on test three
Click here to see answer by Fombitz(13828)

Question 377653: The are of a rectangle of length x is given by 15x-x^2. Find the width of the rectangle in terms of x.
Thank you
Click here to see answer by Fombitz(13828)

Question 377686: The First and Fourth terms of a geometric sequence are 5 and 135. Use the geometric sequence formula to find the value of r. (R=Rate or Ratio) Any Help will be appreciated.
Click here to see answer by ewatrrr(10682)

Question 377763: Could you please explain this to me step by step so I can understand how to do this. Diameter of a circle. If the diameter of a circle is
1.3 X 10^-12 meters, then what is its radius?
Thank you
Click here to see answer by Alan3354(30959)

Question 377710: 1.Tom, Linda and Alex have $120 dollars. Alex has the third of what Tom has and Linda has twice as much as Alex. How much money, in dollars, does Linda have?
2.What is the smallest positive value of x for which y = cos(3x) has a minimum value?
3.ABC is a right triangle such that the length of BC is 5 units. The legs have length x and 2x. Find x.
4.In the figure below, EB and FC are both perpendicular to AC and x is the length of AB. If the length of AC is 11, what is x?

Click here to see answer by Edwin McCravy(8879)

Question 377842: 2500 people took part in a cross country race. The number of adult were 4 times the number of children. If there were 1200 men, how many women were there?
Click here to see answer by rfer(12644)

Question 377844: Keisha is a saleswoman. She is paid a base salary of 1500 a month plus a 4% commission on the sales she makes. what was her sales amount last month if she earned a total of 2456.32?
Click here to see answer by rfer(12644)

Question 377882: The sum of two numbers is 25 and their difference is 7. Find the numbers using system of equations.
Click here to see answer by stanbon(57219)

Question 377891: Use the system of equations to solve the following:
The sum of two numbers is 73. When the smaller number is subtracted from twice the greater number the result is 50. Find the numbers.
Click here to see answer by mananth(12270)

Question 378043: A man is considering two companies from which to rent a truck. One truck charges $30 a day and 25 cents per mile. Two truck charges $40 a day and 20 cents a mile. How far would he need to drive in one day for both companies to have the same total cost?
Click here to see answer by rfer(12644)

Question 378108: There are 17 meters of molding around the base of a rectangular room 3.9 meters long. How wide is the room
Click here to see answer by mananth(12270)

Question 378122: Could you please show me how to work this problem so I know how to do it.
Perimeter of a rectangle. The perimeter of a rectangular backyard is 6x + 6 yards. If the width is x yards, find the binomial that represents the length.
Thank you
Click here to see answer by mananth(12270)

Question 378008: the junior class sold 120 turkey dinner plates and 200 chicken dinner plates for a total of $2,150. the senior class sold 100 turkey plates and 300 chicken dinner plates for a total of $2,625. i need to know how much the turkey plates costs. that's all they gave us was the equation
Click here to see answer by mananth(12270)

Question 378285: Hello, could someone help me with this problem , I am not sure what steps it takes to solve, could you include the math steps to getting the answer ,for a study reference please.Thank you for your time.
.1) Jason had to submit five animation projects as per his syllabus in the final semesters. He scored 88, 72, 85, and 76 points out of 100 in four projects. What should be his score in the fifth project so that the average of all the projects is at least 83?

Click here to see answer by scott8148(6628)

Question 378343: If x is a positive angle smaller than 90° and cos(x) = 1/3, then sin(x) =
A) 2/3
B) 2√2 / 3
C) √2
D) 8/9
E) 4/9
Click here to see answer by Alan3354(30959)

Question 378397: A cheetah is the fastest land animal in the world. It can run at a rate of 32 yards per second. However, the cheetah can only run at this speed for about 496 yards. using the formula D = RT, how long in seconds can a cheetah maintain it's top speed? Show your work.
Click here to see answer by Alan3354(30959)

Question 378401: The highest temperature ever recorded in the state of Idaho was 118 degrees ferenheit. The lowest temperature ever recorded in Idaho was -60 degrees ferenheit. If the temperature in Idaho is T, write a compound inequality to represent both facts.
Click here to see answer by stanbon(57219)

Question 378434: the larger of two numbers is 9 more than twice the smaller. the sum of the numbers is 3 less than five times the smaller. find the number.
show work please.
Click here to see answer by sophxmai(60)

Question 378438: the sluggers go out for pizza after a game. seven large pizzas plus two medium pizzas together have 100 slices.five large pizzas plus six medium pizzas have 108 slices. how many slices are in each size?
show work please
Click here to see answer by solver91311(16868)

Question 378498: I have 10 thousands, 15 tens, 2 ones, and 6 tenths. What number am I?
Click here to see answer by robertb(4012)

Question 378544: My problem is: It took 7 3/4 gallons of gas to fill the tank of the family car. If the tank was 1/8 full when they arrived at the gas station how much gas does the tank hold?
Click here to see answer by ankor@dixie-net.com(15624)

Question 378582: Could you please show me how to work this problem so I know how to do it.
Perimeter of a rectangle. The perimeter of a rectangular backyard is 6x + 6 yards. If the width is x yards, find the binomial that represents the length.

I need to put it in the equation forms step by step so I can understand it. Hope someone can write it for me so I understand it...
Thank you
Click here to see answer by scott8148(6628)

Question 378590: A red ball and a green ball are simultaneously tossed into the air. The red ball is given an initial velocity of 96 feet per second, and its height t seconds after it is tossed is -16^2 + 96 feet. The green ball is given an initial velocity of 80 feet per second, and its height t seconds after it is tossed is -16^2 +80t feet.
a) Find the polynomial D (t) that represents the difference in the heights of the two balls.
b) How much higher is the red ball 2 seconds after the balls are tossed?
c) In reality, when does the difference in the heights stop increasing?

I need them worked out so I can write them down. I need to see it so I can understand it also. I hope someone can help me.
Thank you so much!
Click here to see answer by ankor@dixie-net.com(15624)

Question 378664: A sprinkler that sprays water in a circular motion is to be used to water a square garden. If the area of the garden is 920 square feet, find the smallest whole number radius that the sprinkler can be adjusted to so that the entire garden is watered.
Click here to see answer by stanbon(57219)

Question 378687: i am having a hard time finding this answer...
part a. a store bought a case of disposable cameras for $300. The stores profit p on the cameras is a function of the number c of cameras sold. Find the range of the function p= 6c - 300 when the domain is (0,15,50,62)

Click here to see answer by jim_thompson5910(28476)

Question 378601: The sum of two numbers is 47. One number is 5 more than twice the other number. Find the number.
Click here to see answer by Wingsong(2)

Question 378601: The sum of two numbers is 47. One number is 5 more than twice the other number. Find the number.
Click here to see answer by Alan3354(30959)

Question 378426: I need some help understanding a problem. I have changed the problem around some to make sure that I can do it myself. If you do steps, can you exaplin them to me please?
Use the formula s(t)= 16t to the power of 2,for the equation:
The CN Tower in Toronto, at 1915 ft, is the world’s tallest
self-supporting tower (no guy wires). How long would it
take an object to fall freely from the top?

Click here to see answer by scott8148(6628)

Question 378738: A colony of bacteria starts with 2 bacteria at noo. If the number of bacteria triples every 30 minutes, how many bacteria will be present at 3:00 pm on the same day?
a)486
b) 729
c)1,458
d) 46,656
e)118,098
Click here to see answer by user_dude2008(1861)

Question 378790: if x=-3 is a root of the equation , what is the value of a
Click here to see answer by mananth(12270)

Question 378772: John travels by train to go home and arrives at the railway station every day at 17h00. His wife travels by car to pick him up at the station and arrives at the station at precisely 17h00. One day John took an earlier train and arrived at the station at 16h00 and was unable to phone his wife. He then started walking home hoping to meet his wife who would be on her way to pick him up. She did pick him up and they arrived home 12 min earlier than normal.
a) Assuming the wife travels at 60km per hour, how far did John walk?
b) How far is their home from the station?
Click here to see answer by mananth(12270)

Question 378768: In a group of 16 people, 7 people have studied Russian, 9 have studied Chinese, and 3 have not studied either. How many of these people have studied both Russian and Chinese?
Click here to see answer by robertb(4012)

Question 378769: A man collects cigarette-end stubs and makes one full cigarette with every 8 end stubs. If he gets 64 end stubs how many full cigarettes can he smoke?
Click here to see answer by rapaljer(4667)

Question 378818: When a polynomial is not factorable what is it called? Why?
Hope you can help me. Thank you
Click here to see answer by rapaljer(4667)

Question 378817: •When simplifying like terms, how do you determine the like terms?
I hope you can help me. Thank you
Click here to see answer by rapaljer(4667)

Question 378877: I have asked this question before but there was no answer when it was sent to me. I really need help with this. Hope someone can help me...Especially so I can understand it.
When a polynomial is not factorable what is it called? Why?
Hope you can help me. Thank you

Thank you so very much!
Click here to see answer by Alan3354(30959)

Question 378909: I hope someone can help me find the GCF in each expression. Please go step by step.
a(a+1)-3(a+1)
Hope someone can help me. Thank you...
Click here to see answer by ewatrrr(10682)

Question 379235: solve the following special system:
Micah walks on a treadmill at 4 miles per hour. He has walked 2 miles when Luke starts running at 6 miles per hour on the treadmill next to him. If their rates continue, will Luke's distance ever equal Michah's distance. Explain.
Click here to see answer by Alan3354(30959)

Question 379302: miranda visited a petting zoo on saturday. she counted 95 ducks and goats.
she also counted 316 legs between the ducks and goats. how many of each kind of each animal did miranda see?
Click here to see answer by stanbon(57219)

Question 379084: solve.
the cost of admission to the spring carnival was $50 for a group of 9 children and 2 adults. the admission was $61 for another group of 10 children and 3 adults. what was the admission price for each child? what was the admission price for each adult?
this is what i have so far, im stuck.
children=c adults=a
$50=9c+2a
$61=10c+3a
Click here to see answer by ankor@dixie-net.com(15624)

Question 379359: the equation four more than a number x is 11
and the solution
Click here to see answer by robertb(4012)

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