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

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Question 295734: Solve using the 5 step problem process. A suare support in a television is mde with a side measuring 5 centimeters. A new model being designed for the upcoming year will have a larger square measuring 5.3 centimeters. By how much will the are of the square be increased?
Click here to see answer by richwmiller(17219) About Me 

Question 295689: A cylindrical drum has a diameter of 3 feet and a volume of 45 cubic feet. What is the height of the drum?
Click here to see answer by Deina(147) About Me 

Question 295785: There is the same number of boys and girls on a school bus when it departs from school.at the first stop,4 boys get off the bus and nobody gets on. After the first stop, there are twice as many girls as boys on the bus. How many girls are on the bus
(A) 4 (B) 6 (C) 8 (D) 12 (E) 16

Click here to see answer by richwmiller(17219) About Me 

Question 295772: Translate the following phrase into algebraic symbols

a) The quotient of a number and ten is greater than the sum of that number and thirteen
John

Click here to see answer by JBarnum(2146) About Me 
Question 295772: Translate the following phrase into algebraic symbols

a) The quotient of a number and ten is greater than the sum of that number and thirteen
John

Click here to see answer by richwmiller(17219) About Me 

Question 295788: Can you please help me with this work problem.
Thank you!!
A rectangular observation deck overlooking a scenic valley is to be built. It is to have dimensions 6 meters by 12 meters. For commercial reasons it is decided to add on a rectangular shelter which would take up 40 square meters of the deck. The remainder of the deck will be used as a walkway. It will have uniform width. How wide should this walkway be?

Click here to see answer by richwmiller(17219) About Me 

Question 295898: How many possible outcomes are there when 4 fair coins are tossed all at once?
Click here to see answer by stanbon(75887) About Me 

Question 295900: a bag contains 3 red marbles, 2 white marbles, and 2 blue marbles. In how many ways can a blue marble be selected from the bag?
Click here to see answer by Edwin McCravy(20054) About Me 

Question 295949: The ratio of the age of a gentleman and his wife is 4 : 3. After 4 years this ratio will be 9 : 7. If at the time of their marriage the ratio was 5 : 3, how many years ago they were married?
(a) 10 years (b) 8 years (c) 12 years (d) 15 years

Click here to see answer by richwmiller(17219) About Me 

Question 295948: 42 oranges are distributed among some boys and girls. If each boy gets 3 then each girl gets 6. But if each boy gets 6 and each girl gets 3, it needs 6 more. The number of girls is:
(a) 4 (b) 6 (c) 8 (d) 10

Click here to see answer by richwmiller(17219) About Me 

Question 295959: From each amount of $450 obtained from selling eyeglasses, the salesperson keeps $45 and gives the remainder to their employer. How much were the total sales if the salesperson gives $1000 to their employer?

Click here to see answer by richwmiller(17219) About Me 

Question 296001: ginger made a scale drawing of the brownell carillon tower. the scale was 1:120. if the tower in the drawing is 10.6 inches tall, how tall is the actual tower?
Click here to see answer by stanbon(75887) About Me 

Question 295999: pencils cost 35 cents each and pens cost 59 cents each. What inequlity could represent the fact that "x" pencils and "y" pens together cost at least $6.82?
Click here to see answer by stanbon(75887) About Me 

Question 296000: suppose it costs $8 to dig a hole 1 foot deep, $6.40 for the second foot, $5.12 for the third foot, and so forth. How much would it cost to dig a 5-foot deep hole?
Click here to see answer by richwmiller(17219) About Me 

Question 296183: Alphonse has three times as many marbles as Beatrice. If Alphonse would give 15 of his marbles to Beatrice then he would have twice as many marbles as she does. How many marbles must Alphonse give to Beatrice so that they each have the same number?
(A) 30 (B) 45 (C) 60 (D) 90 (E) Not enough Information

Click here to see answer by mananth(16946) About Me 

Question 296198: A ferryboat operator charges a fee for crossing a river. You have the choice between paying a fare of $2 per trip or to pay $10 for a pass that allows you to receive a 25% discount from the regular price for each crossing. What is the least number of times that you must cross the river so that you would pay less by buying the pass than by paying the full fare each time you cross?

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

Question 296197: To enter a very private garden you need to go through four doors. At each door you must pay an entry fee. If you pay $x at a given door, then you must pay $(2x + 1) at the next door. If it costs a total of $86 to get through the four doors, how much did you pay to get through the first door?

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

Question 296196: A car dealer sells 3 types of car. On the first day, he sells 3 cars of model A and 2 of model B for a sum of $260 000. On the second day, he sells 3 cars of model B and 2 cars of model C for a sum of $160 000, and on the third day, he sells 3 cars of model C and 2 cars of model A for a total of $180 000. What is the price of one model C car?
Click here to see answer by stanbon(75887) About Me 

Question 296360: Mr.Smith has $20,000 invested, part at 6% and the remainder at 8%. How much does he have invested at each rate if the annual intrest is $3100?
Click here to see answer by checkley77(12844) About Me 

Question 296466: a company has found that the daily demand for its product varies inversely as the price of the product. when the price is $24, the demand is 1,000 units. what is the demand if the price is increased to $30? set up a variation problem and find the value of k. then solve for the demand when the price is $30
Click here to see answer by stanbon(75887) About Me 

Question 296390: 1. A box with a square base has a surface area (including the top) of 3m^2. Express the volume V of the box as a function of the width w of the base.

2. A stone is thrown into a lake and t seconds after the splash the diameter of the circle of ripples is t meters.
a)Express the circumference C of this circle as a function of t.
b)Express the area A of this circle as a function of t.


3. Water is flowing at a rate of 5m^3/s into a conical tank.
a)Find the volume V of the water as a function of the water level h.
b)Find h as a function of the time t during which water has been flowing into the tank.

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

Question 296533: A square support unit in a television is made with a side measuring 5 centimeters. A new model being designed for the upcoming year will have a larger square with a side measuring 5.3 centimeters. By how much will the area of the square be increased?
Click here to see answer by richwmiller(17219) About Me 

Question 295239: . Solve using the five-step problem-solving process. Show all steps necessary to arrive at your solution.

A square support unit in a television is made with a side measuring 5 centimeters. A new model being designed for the upcoming year will have a larger square with a side measuring 5.3 centimeters. By how much will the area of the square be increased

Click here to see answer by richwmiller(17219) About Me 

Question 296587: Ellie bought a circular etched-glass table top to use as her dining room table. The glass is 18ft in diameter. Find the cost of the table top at $96 per square yard of glass.
Click here to see answer by mananth(16946) About Me 

Question 296592: Roman, Bob and Roger buy red and green marbles. Red and green marbles don’t have the same price. Roman pays 70 ¢ for four red marbles and two green marbles. Bob pays 95 ¢ for two red marbles and five green marbles. How much will Roger pay if he buys one red marble and one green marble?

Click here to see answer by mananth(16946) About Me 

Question 296593: Persons A, B and C each take 2 vitamin tablets a day while person D takes only 1
tablet a day. A full bottle of tablets lasts 24 days for all 4 of them. How many days will a full bottle last if D also takes 2 tablets a day?

Click here to see answer by mananth(16946) About Me 

Question 296654: I got an answer for this but struggling to understnad it it doesnt make complete sense to me, any help would be appreciated.

Phil is making a Starbuck’s ® run for his exhausted Math 105 classes. He is going to buy a combination of Lattes and Cappuccinos. The Lattes cost $4 each and the Cappuccinos cost $3 each. If he needs 30 drinks total and has $100 to spend, how many of each should he buy?


my answer is
1 + c = 30
41 +3c =100
c=20 L=10
I am just unsure if this is correct doesnt seem to make alot of sense to me. Any help in explaining why this is right would be a help to me.
Eric

Click here to see answer by checkley77(12844) About Me 
Question 296654: I got an answer for this but struggling to understnad it it doesnt make complete sense to me, any help would be appreciated.

Phil is making a Starbuck’s ® run for his exhausted Math 105 classes. He is going to buy a combination of Lattes and Cappuccinos. The Lattes cost $4 each and the Cappuccinos cost $3 each. If he needs 30 drinks total and has $100 to spend, how many of each should he buy?


my answer is
1 + c = 30
41 +3c =100
c=20 L=10
I am just unsure if this is correct doesnt seem to make alot of sense to me. Any help in explaining why this is right would be a help to me.
Eric

Click here to see answer by Fombitz(32388) About Me 
Question 296654: I got an answer for this but struggling to understnad it it doesnt make complete sense to me, any help would be appreciated.

Phil is making a Starbuck’s ® run for his exhausted Math 105 classes. He is going to buy a combination of Lattes and Cappuccinos. The Lattes cost $4 each and the Cappuccinos cost $3 each. If he needs 30 drinks total and has $100 to spend, how many of each should he buy?


my answer is
1 + c = 30
41 +3c =100
c=20 L=10
I am just unsure if this is correct doesnt seem to make alot of sense to me. Any help in explaining why this is right would be a help to me.
Eric

Click here to see answer by richwmiller(17219) About Me 

Question 296832: A designer needs 3 yards of fabric, the fabric is 30.00 a yard. She also wants the fabric dyed which cost 100.00. How much is the cost of fabric?
Using the equation C-30(f)+100 solve the problem.
A. The designer has 500.00 to spend on fabric, how many yards can she get?

Click here to see answer by richwmiller(17219) About Me 

Question 296961: the ratio of yes to no votes is 7 to 5. What is the total number of votes if there are 3731 yes votes
Click here to see answer by stanbon(75887) About Me 
Question 296961: the ratio of yes to no votes is 7 to 5. What is the total number of votes if there are 3731 yes votes
Click here to see answer by richwmiller(17219) About Me 

Question 296965: a fourth grade class decides to enclose a rectangular garden using the side of the school as one of the sides of the rectangle. What is the maximum area that the class can enclose with 32 feet of fence?
Click here to see answer by rfer(16322) About Me 

Question 297102: I need help please. I need to write an inequality and explain the answer. If I need 30 tons of rock to cover an area and each ton costs $60.00 and each tree is $84.00, what is the maximum number of trees I can buy with $2500.00? Would 5 trees be a solution to the inequality? Please advise how I would write this. Thank you.
Click here to see answer by Theo(13342) About Me 

Question 297130: In a box of 40 cookies, 24 of the cookies were round and 20 of them were made of chocolate. If 12 cookies were neither round nor made of chocolate, how many round chocolate cookies were in the box?
(A) 4 (B) 8 (C) 16 (D) 20 (E) 28

Click here to see answer by Theo(13342) About Me 

Question 297219: An infectious strain of bacteria increases in number at a relative growth rate of 200% per hour. When a certain critical number of bacteria are present in the bloodstream, a person becomes ill. If a single bacterium infects a person, the critical level is reached in 43 hours. How long will it take for the critical level to be reached if the same person is infected with 16 bacteria? (give answer to two decimals in hours).
Am I on the right track... 16*10^(2.0*43)= 1.6*10^87 ? If I am... how to convert to hours?
Thank you much for your help.

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

Question 297319: Find all the solutions if 0 degrees < or equal x < 360
2sin^2x - sinx = 1


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

Question 297320: Show that each of the following is an identity
1+tan^2x / csc^2x = tan^2x


Cos^4x - 2cos^2x + 1 + sin^4x

1+cosx/sinx + sinx/cosx = 1+cosx/sinxcosx

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

Question 297336: - solve for value of x between 0 degress < or equal x < or equal 90 degress
If sinx = 7/25, find tanx

Click here to see answer by richwmiller(17219) About Me 

Question 297324: solve each of the following
1+tan^2x / csc^2x = tan^2x

Click here to see answer by richwmiller(17219) About Me 

Question 297370: A number is four less than four times another number. If the product of the two numbers is 63. Find the two numbers.
x-4 4y =63?
set up an equation and solve the problem.

Click here to see answer by richwmiller(17219) About Me 

Question 297368: Find three consecutive positive even whole number such that the sum of the square of the two smaller numbers is 20 more than the square of the largest number.
I need to set up an equation and solve.

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

Question 297366: a manufacturer wants to enlarge an existing manufacturing facility such that the total floor area is 1.6 times that of the current facility. The floor area of the current facility is rectangular and measures 250 feet by 160 feet. The manufacturer wants to increase each dimension by the same amount. write the dimensions of the new floor.
Click here to see answer by checkley77(12844) About Me 

Question 297396: The area of a rectangle is 20x^2-27x-8. The length is 4x+1. What is the width?
Click here to see answer by richwmiller(17219) About Me 

Question 297552: Domain of Logarithmic Functions: Find the domain of each of the following log functions:
A) f(x) log base 6 (x-3)
B) g(x) = log base 2 |x+2|

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