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

Tutors Answer Your Questions about Miscellaneous Word Problems (FREE)

Question 124970: Hi tutor,
Thanks you for helping me....
1)Bear population. To etimate the size of he bear population on the keweenam Peninsula, conservationist capture, tagged, ans reased 50 bears. One year later, a randon sample of 100 bears included only 2 tagged bears. What is the conservationist's estimate of the size of bear population?
2)Telephone lens. formula 1/f = 1/o + 1/i
Find the image distance i for an object that is 2,000,000 mm from a 250-mm telephone lens.
Thanks
Click here to see answer by stanbon(75887)

Question 125049: If one side of a right triangle is 12 and its hypotenuse is 13, what is the length of the other side?
Click here to see answer by edjones(8007)

Question 125094: In a town election, the winning candidate had 220 more votes than the loser. If 810 votes were cast in all, how many voted did each candidate receive.
Click here to see answer by checkley71(8403)

Question 125092: You have administered a standardized test of manual dexterity to two groups of 10 semi skilled workers. One of these two groups of workers will be employed by you to work in a warehouse with many fragile items. The higher the manual dexterity of a worker the less likelihood that worker will break significant inventory. Because of a unique contract you must hire all 10 employees from one of the two groups and none of the employees from the other.
Group A Scores
98,85,30,66,99,95,57,62,99,100

Group B Scores
64,81,62,88,82,79,90,81,85,79

You must decide which group to choose. Consider at least two measures of central tendency and at least one measure of dispersion for each group and use those to make your choice. Be sure to justify your choice with at least one page of discussion and analysis. Can you base a decision on the information provided and the measures that you calculated only?

Click here to see answer by stanbon(75887)

Question 125164: Under what condition(s) would using the quadratic formula not be the easiest way to solve a quadratic equation?
Click here to see answer by stanbon(75887)

Question 125175: I am having trouble with word problems, Please help!!
Nancy B. Kindy won $200,000 in a state lottery. She first paid income tax of 30% on the winnings. Of the rest, she invested some at 1.5% and some at 4%, earning $4350 interest per year. How much did she invest at each rate.
THANK YOU!
Click here to see answer by stanbon(75887)

Question 125276: Separate 150 into two parts such that 4 times the larger exceeds (is more that) 5 times the smaller by 60.
Click here to see answer by checkley71(8403)

Question 125337: Jennifer knows that two rectangles are similar and that the ratio of corresponding sides is 2:5. She also knows that the ratio of the perimeters of the two rectangles is 2:5. Based on this knowledge, Jennifer thinks that the ratio of the areas of the two rectangles is 2:5. Using graph paper, draw approximate rectangles to prove or disprove Jennifer's thinking.
Click here to see answer by solver91311(24713)

Question 125408: One-third of a number, decreased by 1 is 8.
What is the number?
Click here to see answer by josmiceli(19441)

Question 125485: A book publisher pays $74,200.00 to prepare a book for publication. Total costs are $5.50 per book. If the book is sold to bookstores for $19.50 per copy, how many copies must be sold for the publisher to break even?

Click here to see answer by checkley71(8403)

Question 125484: Two less than one-sixth of a certain number is 1 more than one-fourth that number. What is the number?
Click here to see answer by checkley71(8403)

Question 125527: I have been struggling on this word problem for a while now and I was wondering if anyone could help me? I would deeply appreciate it!!! Please and Thank You!!!

Solving Problems Involving Inequalities
solve
If Maura were able to increase her average cycling speed by 3.5km/h, she would be able to cover in 2h a distance at least as great as that which now takes 3h.
What is her best average speed at present?
Click here to see answer by josmiceli(19441)

Question 125529: I have been struggling with this problem for a while now and I was wondering if anyone could help me? I would deeply appreciate it!!! Please and Thank You!!!

Solving Problems Involving Inequalities
solve.
At least how many grams of copper must be alloyed with 387g of pure silver to produce an alloy that is no more than 90% pure silver?
Click here to see answer by josmiceli(19441)

Question 125564: I have been struggling on this word problem for a while now and I was wondering if anyone could help me? I would deeply appreciate it!!! Please and Thank You!!

Solving Problems Involving Inequalities
Solve.
The length of a rectangle exceeds the width by 10cm. If each dimension were increased by 3cm, the area would be no less than 111cm^2 more. What are the least possible dimensions of the rectangle?
Click here to see answer by solver91311(24713)

Question 125613: There are 132 more silver dollars than 50-cent pieces.
The ratio of the silver dollars to 50-cent pieces is 5:2.
So how many of each coin are there?
Click here to see answer by stanbon(75887)

Question 125586: Use three or more sentences to describe how you would solve the following equation using the quadratic formula. 2x2-13x-7=0

Click here to see answer by SoOoDumb(14)

Question 125699: the following graph shows the enrollment at a community college.
1997- 6,000
1998- 8,000
1999- 10,000
2000- 12,000
2001- 14,000
what was the increase in enrollment from 1997 to 2001?
write as an equation and figure.
Click here to see answer by MathLover1(20849)

Question 125703: joe is 6' tall and casts 8' shadow. flagpole is 24' tall. how long is it's shadow?
Click here to see answer by solver91311(24713)

Question 125762: 1)Photography reprints cost $0.52 each at a local photo shop. Through the mail, they cost $0.44 each plus $1.20 postage and handling. How many reprints must a customer purchase to make it less expensive to use mail order?
2)

Assume that the mathematical model C(x) = 16x + 130 represents the cost C, in hundreds of dollars, for a certain manufacturer to produce x items. How many items x can be manufactured while keeping costs between $525,000 and $781,000?
Click here to see answer by stanbon(75887)

Question 125757: Noah and Ben are running in the Walker Street Fun Run. Noah runs at 7 mph, Ben at 5 mph. If they start at the same time, how long will it be before they are 1/3 mile apart?

Click here to see answer by stanbon(75887)

Question 125778: The sum of 2 numbers is seventeen. Six times the smaller number is two less than twice the greater number. Find the numbers.
Click here to see answer by checkley71(8403)

Question 125845: I have been struggling with this problem and I was wondering if anyone could help me? I would deeply appreicate it. Please and Thank You!!!

Solving Problems Involving Inequalities
Solve.
There are three exams in a marking period. A student recieved grades of 75 and 81 on the first two exams. What grade must the student earn on the last exam to get an average of no less than 80 for the marking period?
Click here to see answer by checkley71(8403)

Question 125847: I have been struggling with this problem for a while now and I was wondering if anyone could help me? I would deeply appreciate it. Please and Thank You!!!

Solving Problems Involving Inequalities
Solve.
A mechanic earns $20 an hour, but 25% of his earnings are deducted for taxes and various types of insurance. What is the least number of hours the mechanic must work in order to have no less than $450 in after-tax income
Click here to see answer by josmiceli(19441)

Question 125764: A sample of seawater contains 6.0277g sodium chloride per liter of solution.
How many mg of salt would be found in 15.0 ml of seawater?
Click here to see answer by scott8148(6628)

Question 125855: Use the ac test to determine if the following trinomial can be factored. If it can be factored, find the values of m and n.
3x^2+11x-4
Click here to see answer by stanbon(75887)

Question 125858: A rectangular garden is to be surrounded by a walkway of constant width. The garden's dimensions are 30ft by 40ft. The total area, garden plus walkway, is to be 1800ft^2. What must be the width of the walkway to the nearest thousandth?
Click here to see answer by checkley71(8403)

Question 125861:
Solve by using the quadratic formula. 3x^2=11x+4
Click here to see answer by checkley71(8403)

Question 125856: Find the x-intercepts
y=x^2-2x+4
Click here to see answer by checkley71(8403)

Question 125859: True or False? The degree of a trinomial is never 4.
Click here to see answer by Earlsdon(6294)

Question 125583: Use three or more sentences to describe how you would solve the following equation by graphing. 2x2-13x-7=0

Click here to see answer by marcsam823(57)

Question 125991: The ratio of famales to males in a school band is 7 to 4. If three females and twelve males are absent from practice, the ratio of females to males is 5 to 2. How many members of the band attended practice?
Click here to see answer by checkley71(8403)

Question 126009: Good morning everyone,
Can you help me? Please.
1) Computer Time: It takes a computer 8 days to print all of the personalized lettersfor a national sweepstakes. A new computer is purchased that can do the same job in 5 days. How long would it take to do the job with both computers working on it?
Click here to see answer by josmiceli(19441)

Question 126142: name a number that is three more than 11

Click here to see answer by ilana(307)

Question 126185:
Click here to see answer by gambitfw(1)

Question 126287: A carnival sells tickets for $2 each to adults and $1.50 each to children. If the carnival sold 500 tickets for a total price of $800, how many adults bought tickets?
Click here to see answer by josmiceli(19441)

Question 126344: I don't really know where to place this problem, because it comes in the guide of a contest exam, so I don't know what theme are they talking about, but the problem is like this:
If (x+y)^2=17 and xy=3, then x^2+y^2=
a.20
b.17
c.14
d.11
Can you tell me which theme are they talking about and how to solve it... Thank you...
Click here to see answer by jim_thompson5910(35256)

Question 126355: From a point on a river, two boats are driven in opposite directions, one at 10 miles per hour and the other at 6 miles per hour. In how many hours will they be 32 miles apart?
If anyone could help that would be great!
thanks
Click here to see answer by jim_thompson5910(35256)

Question 126358: A ball is thrown downward from a window in a tall building. Its position at time "t" in seconds is s = 16t^ + 32t, where "s" is in feet. How long (to the nearest tenth) will it take the ball to fall 137 feet?
in equation "16t^" means 16 t squared.
iF anyone could help that would be great!
thanks.
Click here to see answer by stanbon(75887)

Question 126502: Mirana is making a bow for a wreath. The bow is made from six yards of ribbon which must be cut into three pieces where two pieces are the same legnth and the third piece is eight times as long. Find the legnth of each piece
Click here to see answer by solver91311(24713)

Question 126438: Flotsam and Jetsam littered the beach. the pieces of Flotsam numbered 160 more than the pieces of Jetsam, and 6 times the number of pieces of Jetsam outnumbered the number of pieces of Flotsam by 40. How many pieces of each were there?
Click here to see answer by scott8148(6628)

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