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

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Question 604225: Wes is mixing peanuts and chocolate pieces. Peanuts sell for $4.50 a pound and the chocolate sells for $6.50 a pound. How many pounds of chocolate mixes with 5 pounds to obtain a mixture that sells for $5.25 a pound?
Click here to see answer by alicealc(281)

Question 560153: A company produces a product on a number of machines. Each machine generates between $200 and $400 of revenue per day according to the uniform probability distribution. When a machine breaks down, it must be repaired, and the repair time may take 1, 2, or 3 days to be completed according to the following probability distribution:

Repair time in Days
Probability

1
0.30

2
0.45

3
0.25

The company would like to know whether it should purchase a back-up machine at a cost of $6000. The management has decided that if the loss of revenue due to machine downtime was $9000 or more per year, then a back-up machine should be purchased.

In order to perform the comparison, the management decided to develop a simulation model for this situation. To develop this model, they first needed to know the time between breakdowns. According to their estimate, the time between breakdowns is between 0 and 8 weeks, with the probability increasing the longer the machine went without breaking down. Thus the probability distribution of breakdowns looked like the following:

Perform an annual simulation and determine the loss of revenue due to machine breakdown. Next, decide whether a back-up machine would be needed. Show all work and explain your results. Please note that points are deducted if clear explanations are not included with the solutions. You may write your explanations in the Excel spreadsheet.

..
Click here to see answer by wenesowell44(1)

Question 604366: A rectangular swimming pool that is 7 meters deep, 11 meters long, and 10 meters wide. water is $20 per kiloliter. How much will it cost to fill the pool?
Here is what I have written, just don't remember how to set it up properly.
7*11*10=volume*1 kl/m^3*20 $/kl=$15,400
Click here to see answer by KMST(1868)

Question 604463: Hello
Here is a word problem I am having trouble with.
Bob invests in two different retirement funds. He invests some money in a fund with 3% interest and twice as much money in another fund at 4.5% interest. Find the amount deposited at each rate if the total annual interest income is $3,000.
Here is the equation I have written but not sure if it is correct.
Thanks

Click here to see answer by mananth(12270)

Question 604361: A bug is placed on the road and its distance t seconds after it is put down is p(t)= -16t^2 + 64t. At what moment will the bug be 14 feet from where it began?
At what time will the bug turn around and head back to its starting place?
How far from where it began will the bug be when it turns around?
Click here to see answer by Alan3354(30993)

Question 604411: The outside measurements of a rectangular frame for a picture are 30 inches by 40 inches. The area of the rectangular picture inside the frame is 936 inches. Find the width of the frame that surrounds the picture.

Click here to see answer by alicealc(281)

Question 604644: One number is 1 less than a second number. Twice the second number is 31 less than 5 times the first. Find the smaller of two numbers.
Click here to see answer by lwsshak3(6494)

Question 604758: Choose the system of equations in x and y describing the situation.
Leroy has $15 less in his pocket than Donna. If Donna hs $8 more, she would have 4 times as much money as Leroy. This confuses me. Which do I use to figure out the problem?
a) x=y-15
y-8=4x
b) x=y-15
y+8=4x
c) x=y-15
y+8=x+4
d) y=x-15
y+8=4x
Click here to see answer by alicealc(281)

Question 604828: If a rocket is propelled upward from ground level at 98 m/sec, its height in meters after t seconds is given by h=-4.9t+98t. During what interval of time will the rocket be higher than 445.9m?
Click here to see answer by stanbon(57332)

Question 605077: jeff takes 5 hours longer to build a fence than it takes bill. When they work togehter , it takes them 6 hours . How long would it take bill alone to do the job alone?
Click here to see answer by ankor@dixie-net.com(15649)

Question 605307: how many 1 and 2/3 yard lengths of wire can be cut from 25 yards of wire

Click here to see answer by solver91311(16877)

Question 605299: Please help this is a part of Statistical Reasoning and I am completely lost.

Create a scatter plot using the following data. Tell whether the linear correlation is positive, negative, or neither. Let t be the horizontal axis and n the vertical axis.
t -6 -4 3 0 -2 -3 -1 1 2 -5
n 10 5 -7 -2 2 3 0 -5 -6 7

Click here to see answer by jim_thompson5910(28593)

Question 605300: In dyer need of assistance... PLEASE HELP
A vendor is curious about the number of fruit cups he sells each day at his stand. The number of fruit cups sold over 32 straight days is given below. Build a frequency table with each class having a width of 1.
29, 26, 23, 21, 21, 19, 18, 16, 28, 25, 23, 21, 20, 19, 18, 15, 27, 25, 22, 21, 20, 19, 18, 15, 27, 24, 22, 21, 20, 19, 16, 15.

Click here to see answer by jim_thompson5910(28593)

Question 605463: I am trying to help me 12 year old with his word problems, but I think I am going in the wrong direction and will confuse him. The question is " Nine less eight times a number is one less than negative two times the difference of three times the number and six.
8n-9=3n + 6 - 1-2n
Please help --- am i on the right track?? Thanks so much!
Click here to see answer by stanbon(57332)

Question 605628: a small fish is 0.5 inch long.how many centimeters long is the fish to the nearest tenth?
Click here to see answer by amorcos4(1)

Question 605835: A rectangular lot whose perimeter is 310 ft is fenced along three sides. an expensive fencing along the lot's length costs $25 per foot. An inexpensive fencing along the two side widths costs only $5 per foot. The total cost of the fencing along three sides comes to $3050. What are the lot's dimensions
Click here to see answer by lwsshak3(6494)

Question 605874: What is the format to determine how long it will take for one person who shoveled snow in 65 minutes and another in 60 minutes if they worked together.
Click here to see answer by htmentor(789)

Question 388271: 5.a boy has a certain number of sweets. if he eats 16 a day they will last him 2 days longer than if he eats 18 a day. how many sweets has he ?
Click here to see answer by fatima2(1)

Question 606300: Sharice hit a baseball, and the flight of the ball was modeled by the following equation:
h = -16t2 + 62t + 4. After how many seconds will the ball fall to the ground if it is not caught? Round your answer to the nearest tenth.
Click here to see answer by solver91311(16877)

Question 606430: The difference between two numbers is four. On number (v) is five times the value of the other number (x). What are the two numbers?
Click here to see answer by Cintchr(481)

Question 606516: The Johnson County Carnival costs $15 plus $0.50 per ride. The Jefferson County Carnival costs $10 plus $1.00 per ride. How many rides should you plan on riding to make the Johnson County Carnival less expensive than the Jefferson County Carnival?
Click here to see answer by mananth(12270)

Question 606568: 10 ft of wire cut into 2 pieces. One is x ft long. Each wire shape into a square. Expression represents sum of areas in square feet. 2 square in terms of x?
Click here to see answer by josmiceli(9674)

Question 606852: Jamie has 12 dimes and some nickles. Nick has 1/4 as many dimes and 1-1/2 times as many nickels as Jamie. If Jaime has the same amount of money as Nick, how many nickels does Nick have?
Click here to see answer by josmiceli(9674)

Question 607223: The dimensions of a rectangle garden are 3 feet by 10 feet. When both demensions are increased by the same amount, the area is doubled. What are the demensions of the new garden?
Click here to see answer by ankor@dixie-net.com(15649)

Question 607220:
Click here to see answer by sophxmai(60)

Question 607300: A farmer bought 100 animals for $100. Sheep were $10 each, pigs were $2
each, and chickens were $.50 each. How many of each did she buy?
Click here to see answer by Edwin McCravy(8908)

Question 607330: The names of 10 men and 7 women are entered in a sweepstakes drawing. Two names are drawn at random in succession."
a) What is the probability that the first name is a man's and the second is a women's?
b) What is the probability that both names are women's?
Thanks in advance!!
Click here to see answer by ewatrrr(10682)

Question 607322: When the bicycle's front wheel travels from point A to point B, it does exactly 10 revolutions. If the tire diameter is 27 inches, how high is the top of the ramp from the ground? Use 3.14 for pi
Click here to see answer by Alan3354(30993)

Question 607430: the length and width of a rectangle must have a sum of 116 feet. find the dimensions of the rectangle whose area is as large as possible
Click here to see answer by ewatrrr(10682)

Question 607505: f(x) is a 3rd Degree Polynomial Equation having Real coefficients, if it has 3, i and -i as Zeros (roots) Find a simple equation f(x) = 0 with these roots written in polynomial form (show work).
Click here to see answer by nerdybill(6958)

Question 607527: Cassidy is 3 times as old as Drew. In 8 years, Cassidy will only be twice as old as Drew. How old is Cassidy right now?
Click here to see answer by alicealc(281)

Question 607526: I'm thinking of a number that, when you multiply it by 9, it is the same as adding 8 to 7 times the number. What is the number?
Click here to see answer by alicealc(281)

Question 607528: Susan has 600 feet of fencing to use in making a yard for her new puppy. The yard she has planned has a length that is 75 feet less than twice the width. What are the dimensions of the yard?
Click here to see answer by alicealc(281)

Question 607531: On an assignment, Bob incorrectly solves the left side of the problem:
12x^3 - 6x / 3x = 4x^2 - 6x
What mistake do you think he is making? Please write a short explanation on how the mistake was made.
Click here to see answer by Earlsdon(6287)

Question 607537: A triangle is 3 in. 4 in. and 5 in. How would it be in a 3/1 scale drawing?
Click here to see answer by Alan3354(30993)

Question 607538: A standardized test has a mean score of 450. The standard deviation is 108. The student scored 505. What is the Z-score?
Click here to see answer by nerdybill(6958)

Question 607592: The force of attraction of a body varies directly as its mass and inversely as the square of the distance away the body is. A force of 100 Newtons attracts a mass of 8 kg located 5 meters away. Find the force exerted on a mass of 2 kg that is 15 meters away.
I keep getting a Force of 2.77 Newtons for my answer but that can't be right since the distance is farther away and even though the 2 kg is much less than 8 kg needing a force of 100 Newtons. Any assistance would be much appreciated. Thank you!
Click here to see answer by scott8148(6628)

Question 607683: The perimeter of a rectangle is 94 feet, and the area of the rectangle is 90ft^2. Find the dimensions of the rectangle.
Click here to see answer by jim_thompson5910(28593)

Question 607710: Earth's Diameter: The polar diameter of earth is approximately 7900 miles. There are approximately 161,000 cm in one mile. What is the polar diameter of Earth in cm?
Click here to see answer by jim_thompson5910(28593)

Question 607964: For his last ter paper, Kerman typed 13,800 words in 2.5 hours. At this rate, how many words could be typed in 5 minutes
Click here to see answer by ewatrrr(10682)

Question 607978: Can someone please help me solve this word problem. I'm studying on Fractional Equations and Problem Solving. Thank you!
In a survivor competition, the Pachena tribe can shuck 300 oysters in 10 minutes less time than it takes the Tchaika tribe. If the Pachena tribe shucks oysters at a rate of 5 oysters per minute faster than the Tchaika tribe, find the rate of each tribe.
Click here to see answer by ankor@dixie-net.com(15649)

Question 608070: The stopping distance d of a car after the brakes have been applied varies directly as the square of the speed r. If a car traveling 60 mph can stop in 200ft, how long will it take a car traveling 30 mph to stop? Please help and show work. Thanks
Click here to see answer by josmiceli(9674)

Question 608181: An animal clinic kept record of the life spans of certain poodles. The number of years the dogs lived are 8, 10, 12, 15, 17, and 13. What is the standard deviation of the poodle life spans?

No other information is given and i am stuck.. Please help!!!
Click here to see answer by jim_thompson5910(28593)

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