Tutors Answer Your Questions about Miscellaneous Word Problems (FREE)
Question 1048935: A bike is traveling at 10 mph. Determine number of revolutions the wheels make in 1 min.
Circumference of wheels: 28 in.
Solution provided with problem:
Let n = number of revolutions.
In 1 min. the wheels travel pi * 28 * n inches.
In 1 hr. the wheels travel pi * 28 * n * 60 inches.
= pi * 28 * n * 60 in. / 5280 * 12 miles. **
= pi * 28 * n * 60 in. / 5280 * 12 = 10 **
= pi * 7 * n / 88 * 3 = 10 **
n = 10 * 88 * 3 / pi * 7 **
= 10 * 88 / 7 = 125.74
n = 120
** I don't understand these steps. Thanks.
Click here to see answer by ankor@dixie-net.com(22740)  |
Question 1048965: Hi
in a textbook the following problem was as follows.james has some matchsticks and sachets. If one matchstick is put into each sachet there are 2 matchsticks left.if he puts 2 matchsticks into each sachet he will have 24 sachets left. The solutions are m-s = 2 and s-m/2 = 24.
Can u help me understand how these equations were derived.
thank you
Click here to see answer by ikleyn(52747)  |
Question 1048965: Hi
in a textbook the following problem was as follows.james has some matchsticks and sachets. If one matchstick is put into each sachet there are 2 matchsticks left.if he puts 2 matchsticks into each sachet he will have 24 sachets left. The solutions are m-s = 2 and s-m/2 = 24.
Can u help me understand how these equations were derived.
thank you
Click here to see answer by Theo(13342)  |
Question 1048975: Cleo and diana were given the same amount of money each day. Cleo spent 4/7 of her money and diana spent 2/3 of her money each day.they saved the rest of their money. After a week, cleo saved 56 dollars more than diana.
how much money did cleo spend a day
how much money did diana spend a day
thanks
Click here to see answer by josgarithmetic(39613) |
Question 1049034: Ref. Question 1048935 follow-up:
My attempt following your suggestions:
Circumference = pi * diameter
= 3.1416 * 28 = 87.96 = 88 in. = 7.33 ft. in 1 revolution.
10 mi. / hr. = 52800 ft. / 60 min. = 880 ft. / min.
880/ 7.33 = 120 revolutions per min.
Where am I correct?
Also, a question;
In your mathematical opinion(s), why would the solver write such a solution included with problem?
Thanks.
Click here to see answer by ankor@dixie-net.com(22740)  |
Question 1049223: Ms. Rivera wishes to tile her classroom floor with square tiles. She wants to be able to use whole tiles, without cutting any pieces. The rectangular floor has dimensions 8.4 meters by 7.2 meters. What is the minimum number of whole identical square tiles required and what are the dimensions of each tile?
Click here to see answer by KMST(5328)  |
Question 1049253: Nature drinks wants to combine orange juice they sell for $0.09 per ounce with guava juice they sell for $0.14 per ounce to create an orange-guava drink. How many ounces of orange juice should they use to create a 16-ounce drink that would sell for $1.74?
Click here to see answer by josmiceli(19441)  |
Question 1049296: A quantitative variable has 10 observations that have a median value of 15. The maximum of the 10 observations was recorded incorrectly and is changed from a value of 25 to a value of 30. The value of the new median is?
Click here to see answer by Theo(13342)  |
Question 1049574: A rectangular field is divided into 4 sections surrounding fences. The total length of the fence is 300 metres. Let x be the width of this rectangular field, find the length of it in terms of x.
Help! What does the question mean?
Click here to see answer by ikleyn(52747)  |
Question 1049508: Ref. Question 1049479;
Regular Hexagon:
d = distance across flats.
b = hexagon side.
d = sq. rt. 3b = 1.7321b.
My attempt:
1 * 1.7321 = 1.7321
= 1.7321 * 12 = 20.78 = 21 cu. in.
= 21 * .283 = 5.943 lbs.
Where am I correct?
Click here to see answer by Alan3354(69443)  |
Question 1049723: Ref. Questions 1049479, 1049528:
A hexagonal steel bar is 1" in diameter across the flats, and 1' in length.
Determine weight of bar.
Steel weighs .283 lbs. / cu. in.
Unsure how to solve.
Non-homework question.
Thanks.
Regular Hexagon:
d = distance across flats.
b = hexagon side.
d = sq. rt. 3b = 1.7321b.
My attempt:
1 * 1.7321 = 1.7321
= 1.7321 * 12 = 20.78 = 21 cu. in.
= 21 * .283 = 5.943 lbs.
Where am I correct?
Click here to see answer by Alan3354(69443)  |
Question 1049769: Ref. Question 1049723:
1" across the flats --> 0.5" apothem = r **
Cross-sectional area = nr^2*tan(180/n) where n = # of sides **
Area = 6*0.25*tan(30) =~ 0.866 sq inches **
** I don't understand apothem, tan(180/n), tan(30).
Click here to see answer by Alan3354(69443)  |
Question 1049824: Player A led a baseball league in runs batted in for the 2006 regular season. Player B, who came in second to player A had 10 fewer runs batted in for the 2006 regular season. Together these two players brought home 232 runs during the season. How many runs batted did player A and B each account for?
Click here to see answer by stanbon(75887) |
Question 1050082: Maggie has a job working in an office for
$
10
$10 an hour and another job driving a tractor for
$
12
$12 an hour. One week she works in the office twice as long as she drives the tractor. Her total income for that week is
$
416
$416. How many hours did she spend at each job?
Click here to see answer by jorel555(1290) |
|
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