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

Tutors Answer Your Questions about Miscellaneous Word Problems (FREE)

Question 149607: a collection of 70 coins consisting of dimes, quarters, and half-dollars has a value of $17.75. There are three times as many quarters as dimes. find the number of each kind of coin.
Click here to see answer by Fombitz(13828)

Question 149618: A field has 11 fence posts along one side. Each post is 1 foot wide, and each post is spaced 10 feet from the next post.How wide is this side of the field?
Click here to see answer by ankor@dixie-net.com(15652)

Question 149670: If edging cost $2.32 per 12-inch stone, and you want a double layer of edging around your flower bed that is 6 yards by 1 yard. How much will edging you flower bed cost?
A. $32.48
B. $64.96
C. $97.44
D. $129.92
E. $194.88 correct answer
If the yard dimensions in feet are 3' x 18', then with the double hedging, I tried 5' x 20' x $2.32, and that's not the right logic.
Please help!
Click here to see answer by scott8148(6628)

Question 149757: A wooden fence surrounds a garden that is in the shape of an irregular triangle. If one side is twice as long as the first, and another is half as long as the first side, and the fence is 70 feet long, what are the dimensions of the garden?
( Make a drawing, assign a variable, answer the question asked, check your work)
Thank you very much.
Click here to see answer by jim_thompson5910(28595)

Question 149823:
Hello,
Can someone please help me with this math problem it is from the textbook College Algebra.

i)Problem: The level of a prescription drug in the human body over time can be found using the formula:

L = D
_____________
1 - (1/2)^n/h

where D is the amount taken every n hours and H is the drug’s half-life in hours.
(1) If 2.5 milligrams of Lorazepam with a half-life of 14 hours is taken every 24 hours, then to what level does the drug build up over time?
(2) If a doctor wants the level of Lorazepam to build up to a level of 5.58 milligrams in a patient taking 2.5 milligram doses, then how often should the doses be taken?
(3) What is the difference between taking 2.5 milligrams of Lorazepam every 12 hours and taking 5 milligrams every 24 hours?

Thank you,
Droxygirl1001

Click here to see answer by vleith(2825)

Question 149835: Hi, I am not understanding how to work this problem. Any help would be greatly appreciated!!!!
A string it streched from the floor up to the top of a tower. The string is 10 feet long. The height of the tower is 2ft greater than the distance d from the towers base to the end of the string. Find the distance d and the height of the tower. Thank you so much!!!!!!!!!!!!!!!!!!
Click here to see answer by nerdybill(6958)

Question 149897: Steve traveled 200 miles at a certain speed. Had he gone 10mph faster, the trip would have taken 1 hour less. Find the speed of his vehicle.
Click here to see answer by mangopeeler07(462)

Question 149899: The Hudson River flows at a rate of 3 mile per hour. A patrol boat travels 60 miles upriver, and returns in a total time of 9 hours. What is the speed of the boat in still water?
Click here to see answer by nerdybill(6958)

Question 149935: Hi I just asked this question to Stan, but states that the formula wasn't posted. I checked my assignment and thats all the teacher gave me. Should I email her questioning this, I don't want to correct her because I feel she gets mad. But here it is again the problem and what I need help on
Problem: The level of a prescription drug in the human body over time can be found using the formul: where D is the amount taken every n hours and H is the drug’s half-life in hours.
1.If 2.5 milligrams of Lorazepam with a half-life of 14 hours is taken every 24 hours, then to what level does the drug build up over time?
2. If a doctor wants the level of Lorazepam to build up to a level of 5.58 milligrams in a patient taking 2.5 milligram doses, then how often should the doses be taken?
3.What is the difference between taking 2.5 milligrams of Lorazepam every 12 hours and taking 5 milligrams every 24 hours?
4.Please explain the steps to solve this and what mathematical concepts are being applied

(

Click here to see answer by jim_thompson5910(28595)

Question 149954: Average(arithmetic mean) of test scores in class R:
average score for the boys: 90
average score for the girls: 81
average score for the class: 84
Which is larger, the number of boys in the class who took the test or the number of girls in the class who took the test?
They say the number of girls is larger, but I have no idea how they get this. Any help would be appreciated. Thanks!

Click here to see answer by stanbon(57347)

Question 150097: I'm not sure where to put this question... hopefully I'm in the right spot.
A whole number increased by its square is 5 times itself minus 4. Find the number.
What I figured thus far(not sure if I'm right):
x+x^2=5x-4
4=5x-x-x^2
4=4x-x^2
Click here to see answer by stanbon(57347)

Question 150189: If you get a 68 on one test, a 73 on a second test and an 84 on the third test, what score must you get on a fourth test in order to have an average of 80?
Click here to see answer by checkley77(12569)

Question 150245: The members of a flying club plan to share equally the cost of a $200,000 airplane. The members want to find five more people to join the club so that the cost per person will decrease by $2000. How many members are currently in the club?
Click here to see answer by mangopeeler07(462)

Question 150270: Suppose you tie a rope around the earth at the equator (circumference approx. 25,000 miles). Let's say you pull the rope as tight as it will go and then add back 6 feet of slack before tying the knot. If the extra rope is distributed evenly around the globe will there be enough space between the rope and the surface of the earth for a worm to crawl under?

Assume the earth is a perfect sphere and the rope does not stretch.
I have no idea how to approach this problem. Can anyone help?

Click here to see answer by Earlsdon(6287)

Question 150243: Suppose Charlie O’Brian hits a baseball straight upward at 150ft/sec from a height of 5 feet.
a) Use the formula to determine how long it takes the ball to return to Earth
b) Use the graph on the next page to estimate the maximum height reached by the ball
I have no idea how to set up the equation for the answer........
Click here to see answer by scott8148(6628)

Question 150333: A piece of sheet metal is in the shape of a parallelogram. The longer sides of the parallelogram are each 8m. longer thatn the distance between them. The area of the parallelogram is 48m^. Write an equation to find length of the longer sides and the distance between them.
Click here to see answer by jojo14344(1512)

Question 150397: Hello,
Can someone please help me with this math I am having a hard time with it.
it is from College Algebra book. Can you please explain how you got the answers for each question too so I can have a better understanding of the math.
Thank you,
Droxygirl1001

Problem: The students from algebra class go for coffee together every day at 9:00 AM. On Monday, Jordan paid $5.45 for three cartons of milk, four cups of coffee, and seven doughnuts. On Tuesday, Ryan paid $5.30 for four milks, two coffees, and eight doughnuts. On Wednesday, Zack paid $5.15 for two milks, five coffees, and six doughnuts.
(1) Set up a system of equations to model this scenario.
(2) Determine the cost of one carton milk, one coffee, and one doughnut by solving the system.
(3) If on Thursday, Taylor had to pay for five milks, two coffees and nine doughnuts, then how much did he spend?

Click here to see answer by stanbon(57347)

Question 150182: A large industrial plant produces one ton of concrete every 0.92 minutes. At what rate isthe facility producing concrete in tons per hour? Round to the nearest thousandth of a ton per hour.

Click here to see answer by jojo14344(1512)

Question 150449: I found where someone answered this problem...Stan H. However, I didn't understand how he got the answer. I really would like to understand the how to on this since this is a statics class and I have more to do. On the random sample question I know that I needed to get the sample mean..standard deviation, t value and sample size. I have posted it below. Then I have to use the forumla x ± t s√n....(that is suppose to be a square root sign with the s over the n.) X is the sample mean...and t is the t value...but then I'm not sure where to place the standard deviation or the sample size... are they the s or the n...then which part of the equation do you do first and what does this little sign mean ±? This part is only for section A. I have no idea how to work through section b. And yes, I understand c with no problem. :) I really appreciate in advance any help!
3.3048 is the sample mean= x with line over it.
1.32 is the standard deviation
1.833 is the “t” value**
10 is the sample size

A random sample of 10 miniature Tootsie Rolls was taken from a bag. Each piece was weighed on a very accurate scale. The results in grams were Page 309
3.087 3.131 3.241 3.241 3.270 3.353 3.400 3.411 3.437 3.477
(a) Construct a 90 percent confidence interval for the true mean weight.
(b) What sample size would be necessary to estimate the true weight with an error of ± 0.03 grams with 90 percent confidence?
(c) Discuss the factors which might cause variation in the weight of Tootsie Rolls during manufacture.

Click here to see answer by stanbon(57347)

Question 150488: If Fran's percentile rank on an exam in a class of 500 is 85, and Kelly's class rank is 60, who is ranked higher?
Please help
Click here to see answer by edjones(7569)

Question 150502: I'm not sure if there's a more specific category to file under.
"In a 3-hour examination of 350 questions, there are 50 mathematics problems. If twice as much time should be allowed for each mathematics problem as for each of the other questions, how many minutes should be spent on the mathematics problems?"
I've read but only understand parts of the solution in the back of the book. It is this:
x = number of minutes for each math problem
x(50) + x/2(300) = 180 [x/2 i don't understand]
x = 180/200
50(180/200) = 45 minutes per question
Also, can you please let me know how to search for problems of this type so I can practice more? Thank you.
Click here to see answer by stanbon(57347)

Question 150533: What solid figure has rectangular faces and 2 pentagonal bases?

HELP!,
Amanda
Click here to see answer by jim_thompson5910(28595)

Question 150534: How many pounds of hamburger that $1.60 per pound must be mixed with 70 pounds of hamburger that costs $2.10 per pound to make a mixture that costs $1.70 per pound?
Click here to see answer by stanbon(57347)

Question 150550: Soybean meal is 14% protein; cornmeal is 7% protein. How many lbs of each should be mixed together in order to
get 280-lb mixture that is 10% protein?
How many pounds of the cornmeal should be in the mixture?
How many pounds of soybean should be in the mixture?
Click here to see answer by josmiceli(9678)

Question 150680: L=D/1-(1/2)^n/H

where D is the amount taken every n hours and H is the drug’s half-life in hours.
1. If 2.5 milligrams of Lorazepam with a half-life of 14 hours is taken every 24 hours, then to what level does the drug build up over time?
2. If a doctor wants the level of Lorazepam to build up to a level of 5.58 milligrams in a patient taking 2.5 milligram doses, then how often should the doses be taken?
3. What is the difference between taking 2.5 milligrams of Lorazepam every 12 hours and taking 5 milligrams every 24 hours?

Click here to see answer by edjones(7569)

Question 150904: Which one of the following statements about quadrilaterals is true?
A. A parallwlogram with right angles is a rectangle
b. A quadrilateral with oly two parallel sides is a square.
c. A quadrilteral with two pairs of parallel sides is a trapezoid.
d. A quadrilateral with a right an gle is a rhombus

Click here to see answer by jim_thompson5910(28595)

Question 150902: which one of the following geometric forms is a curved surface.
A. side of a cone
B. side of a pyramid
C. Base of a cylinder
D. Base of a Prism
Click here to see answer by mangopeeler07(462)

Question 150903: The sides of an angle inscribed in a circle are
A. two chords
B. Two Radii
C. A diameter and tangent
D a tangent and a radius
Click here to see answer by mangopeeler07(462)

Question 150900: Remove the radicals and simplify the following equation
(x-3)^1/2 + (2x)^1/2 = 3
Click here to see answer by jim_thompson5910(28595)

Question 150900: Remove the radicals and simplify the following equation
(x-3)^1/2 + (2x)^1/2 = 3
Click here to see answer by mangopeeler07(462)

Question 150914: If the diameter of a sphere is doubled, its surface becomes
A. doubled the orginal surface
B.four times the orginal surface
C.eight times the orginal surface
D. three times the orginal surface

Click here to see answer by jim_thompson5910(28595)

Question 150915: A cylindrical container has a base area of 100 cm^2 and is 12 cm high. If the container is one-third filled with water, what is the volume of the water in the container?
Click here to see answer by vleith(2825)

Question 150913: What is the altitude of a cone if its volume is 500 cu in. and the area of th ebase is 20sq in?
Click here to see answer by vleith(2825)

Question 150937: Which one of the following statements is true for trigonometric functions of two acute angles A and B in a right triangle?
A cosB=tanA
b. cotB=cosA
c. sinB=sinA
d. tanB=cotA
Click here to see answer by vleith(2825)

Question 150942: If cos A= .99000, the angle A equals?
Click here to see answer by vleith(2825)

Question 150941: In a right triangle with the hypotenuse c=10 and the acute angle A=30 degrees 25'30'', find the sides a and b. Express your answer to three decimal places.
Click here to see answer by Fombitz(13828)

Question 150940: Find the value of cos 52 degrees 6' 24''
Click here to see answer by Fombitz(13828)

Question 150938: Find the acute angle A if tan A=1.82402
Click here to see answer by Fombitz(13828)

Question 151016: The average of 2 numbers is 15 and four times the difference between them is 4o. Find the numbers.
Click here to see answer by jojo14344(1512)

Question 150912: What is the altitude of a rhombus if its area is 50m^2 and the length on one side is 12.5m?
Click here to see answer by jojo14344(1512)

Question 151097: 6. use the change base formula to write the logarithm as a multiple of a common log. Ln5
Click here to see answer by vleith(2825)

Question 151099: 26.use the properties of logarthms to write the expression as a sum, difference,and/or constant multiple of logarithms(assume all variables are positive). Ln cube root "t"
Click here to see answer by jim_thompson5910(28595)

Question 151100: 30. use the properties of logarthms to write the expression as a sum, difference,and/or constant multiple of logarithms(assume all variables are positive). Ln(x^2-1/x^3), x>1
Click here to see answer by stanbon(57347)

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