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

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Question 67446: A 12 foot ladder leans against the side of a building, making an angle of 30 degrees with the ground. To increase the reach of the ladder against the building, the ladder is moved so that it makes an angle of 60 degrees with the ground. To the nearest tenth of a foot, how much further up the building does the ladder now reach?
Click here to see answer by Earlsdon(4900)

Question 67447: The legnths of two adjacent sides of a parallelogram are 6 and 15. If the measure of an included angle is 60 degrees. What is the legnth of the shorter diagnol of the parallelogram?
Click here to see answer by ankor@dixie-net.com(6693)

Question 67483: This is one of my problems that hopefully yall can help me on, "Tickets for a football game cost $1.00 each if purchased before the day of the game. They cost $1.50 each if bought at the gate. For the homecoming game, 600 tickets were sold, with receipts of $700. How many tickets were sold at the gate?" Can yall help me please?
Click here to see answer by ankor@dixie-net.com(6693)

Question 67588: 1) An open-top box is to be constructed from a 4 foot by 6 foot rectangular cardboard by cutting out equal squares at each corner and the folding up the flaps. Let x denote the length of each side of the square to be cut out.
a) Find the function V that represents the volume of the box in terms of x.
Answer:

Click here to see answer by checkley71(8405)

Question 67580: Farmer Fred has goats and chickens in his fenced barnyard. Tiny Tim can only see under the fence and he counts 72 feet. Tall Tony can see over the fence and he counts 26 heads. How many chickens does Farmer Fred have in his barnyard?
thanks!
Click here to see answer by checkley71(8405)

Question 67706: A train leaves a station at 9:00 A.M. traveling at a constant rate of speed. Two hours later a second train, traveling at an average rate of 25 miles per hour more than the first train, leaves the same station, going in the same direction, on a parallel track. If the faster train overtakes the first train at 3:00 P.M. on the same day, what is the average rate of speed of the first train.
Click here to see answer by stanbon(26297)

Question 67705: A) In a set of test scores, nine scores are above the 40th percentile. How many test scores are in this set.

B) Nine students scored 75 or less on a mathematics test. If 75 is the 25th percentile, what is the number of students who took this test.
Click here to see answer by stanbon(26297)

Question 67923This question is from textbook algebra1
: Problem:#3
Three men and three women signed up for mixed-doubles tennis. In mixed doubles, a team conssits of 1 man and 1 woman. How many different matches could be made with different mixed-doubles teams?

Problem#4
A bank has checkbook covers that are either pocket or desk size. The covers can be orage, black, red, or tan. The custormer's name will be stamped on the cover in gold or silver. How many different choices are available for checkboook covers?This question is from textbook algebra1

Click here to see answer by baseball35(2)

Question 68121: Going into the final exam, which will count as 2 tests, Brooke has a test score of 80, 83,71,61, 95. What score does Brooke need on the final in order to have an average score of 80?
Click here to see answer by Edwin McCravy(2922)

Question 68054This question is from textbook

: The length of one of the equal legs of an isosceles triangle is 8 cm less than 4 times the length of the base. If the perimeter is 29 cm, find the length of one of the equal legs.This question is from textbook

Click here to see answer by stanbon(26297)

Question 68092This question is from textbook Algebra and Trigonometry

: A rancher plans to use 160 yards of fencing to enclose a rectangular corral and to divide it into two parts by a fence parallel to the shorter sides of the corral. Find the dimensions of the corral if its are is 100yd2.This question is from textbook Algebra and Trigonometry

Click here to see answer by ankor@dixie-net.com(6693)

Question 68272This question is from textbook An Incremental Development

: How many different ways can the letters, M, A, T and H be arranged in order if no repeition is permitted?This question is from textbook An Incremental Development

Click here to see answer by checkley71(8405)

Question 68470: sixty-two feet of fencing was used to enclose a rectagular pen that was 11 feet wide. How long was the pen?

Click here to see answer by KiarraGilliam(1)

Question 68469: sixty-two feet of fencing was used to enclose a rectangular pen that was 11 feet wide. How long was the pen?
Click here to see answer by checkley71(8405)

Question 68495: An ecoli bacteria divides every 20 minutes. After 120 minutes how many ecoli bacteria are there? Solve algebraically.
Click here to see answer by stanbon(26297)

Question 68551This question is from textbook Practice Workbook
: You used 6 3/4c of sugar while baking muffins and nutbread for a class party. You used a total of 1 1/2c of sugar for the muffins. Your nutbread recipe calls for 1 3/4c of sugar per loaf. How many loaves of nubread did you make?

My equation is 6 3/4-1 1/2 = 1 3/4c is this right. Please help.This question is from textbook Practice Workbook

Click here to see answer by rmromero(383)

Question 68683: If one-half of one integer is subtracted from 3/5 of the next consecutive integer, the difference is 3. What are the two integers? I have tried the following but I do not know if it is correct. Can you help me?
3/5 - 1/2 = 3
10 x 3/5 - 10 x 1/2 = 10 x 3
Click here to see answer by josmiceli(3013)

Question 69068: Write the equation of the line L satisfying the given geometric conditions.
Please show how to work this out.
36. L has y-intercept (0,-3) and is parallel to the line with equation
y = 2/3 x -1.
40. L has y-intercept (0, 2) and is perpendicular to the line with equation
2x-3y -6.

Click here to see answer by jim_thompson5910(13794)

Question 69099: 4) CLASSIC PROBLEM - A traveling salesman (selling shoes) stops at a farm in the Midwest. Before he could knock on the door, he noticed an old truck on fire. He rushed over and pulled a young lady out of the flaming truck. Farmer Crane came out and gratefully thanked the traveling salesman for saving his daughter’s life. Mr. Crane insisted on giving the man an award for his heroism.
So, the salesman said, “If you insist, I do not want much. Get your checkerboard and place one grain of wheat on the first square. Then place two grains of wheat on the next square. Then place four grains on the third square. Continue this until all 64 squares are covered with grains of wheat.” As he had just harvested his wheat, Mr. Crane did not consider this much of an award, but he soon realized he made a miscalculation on the amount of wheat involved.
a) How much wheat would Mr. Crane have to put on the 24th square?
Answer:
Show work in this space.

b) How much total grain would the traveling salesman receive if the checkerboard only had 24 squares?
Answer:
Show work in this space.

c) Calculate the amount of wheat necessary to fill the whole checkerboard (64 squares). How much wheat would the farmer need to give the salesman? Please provide the answer in either scientific notation, or calculate and show all 20 digits.
Answer:

Click here to see answer by Earlsdon(4900)

Question 69070This question is from textbook

: An airplane covered 15 mi of its route while decreasing its altitude by 24,000 ft. Find the slope of the line of descent that was followed. (1 mi=5280 ft) Round to the nearest hundredth.This question is from textbook

Click here to see answer by jim_thompson5910(13794)

Question 69076: If someone could help me out with these I'll appreciated. THank you.
Problem#6
Directions: Solve the following word problems.
Number problem. If one-half of one integer is subtracted from three-fifths of the next consecutive integer, the difference is 3. What are the two integers?
Problem# 18 same directions
Science and medicine. A passenger train can travel 325 mi in the same time a
freight train takes to travel 200 mi. If the speed of the passenger train is 25 mi/h faster than the speed of the freight train, find the speed of each.
Problem#22 same directions
Science and medicine. Ariana took 2 h longer to drive 360 mi on the first day of a trip than she took to drive 270 mi on the second day. If her speed was the same on both days, what was the driving time each day?
Problem#26 same directions
Science and medicine. A plane flies 720 mi against a steady 30-mi/h headwind
and then returns to the same point with the wind. If the entire trip takes 10 h, what is the plane’s speed in still air?
Problem# 34. same directions
Business and finance. Kevin earned $165 interest for 1 year on an investment of
$1500. At the same rate, what amount of interest would be earned by an investment
of $2500?

Click here to see answer by ankor@dixie-net.com(6693)

Question 69067This question is from textbook

: Write the equation of the line passing through each of the given pairs of points. Write your result in slope-intercept form, where possible. Please show how to do this. Thanks
20. (-1, 3) and (4, -2)
24. (2, -3) and (2, 4)
This question is from textbook

Click here to see answer by jim_thompson5910(13794)

Question 69264: 24 the length of a rectangle is 3 cm longer that twice the width. The area of the rectangle is 90 sq cm. Find the length and width of the rectangle.
Click here to see answer by ptaylor(1578)

Question 69447: Farmer Fred has goats and chickens in his fenced barnyard. Tiny Tim can only see under the fence and he counts 72 feet. Tall Tony can see over the fence and he counts 26 heads. How many chickens does Farmer Fred have in his barnyard?
Click here to see answer by justsmilexx(8)

Question 69536: One share of A stock is worth 3 1/2 shares of B stock. If the total value of the stock is $9000, how much was invested in each company?
Click here to see answer by bucky(1732)

Question 69453: The preimeter of a rectangular garden is 40 feet. The width is 2 feet more than 1/2 the length. Find the length and width?
Click here to see answer by ptaylor(1578)

Question 69528: The roots of the equation x^2-4x=b are 7 and a. Find the value of a.
Click here to see answer by tanimachatterjee(60)

Question 69543: In the parking lot of a truck stop there were six more cars than 18 wheel trucks. There were 134 wheelsin the parking lot How many cars and trucks were there?
Click here to see answer by funmath(2873)

Question 69709: Six different positive numbers(excluding zero) are added together, and their sum is 11. Four of the numbers are 4, 3, 2, and 1. Find the other two numbers.
Click here to see answer by checkley75(3666)

Question 69928: Light travels approximately 5.87 x 10^12 mi. in one year. This distance is called a light-year. Suppose a star is 2 x 10^4 light-years away. How many miles away is the star?
Click here to see answer by checkley75(3666)

Question 69952: JIM HAS GOTTEN SCORES OF 60 AND 97 ON HIS FIRST TWO TESTS. WHAT SCORE MUST HE GET ON HIS THIRD TEST TO KEEP AN AVERAGE OF 75 OR GRATER ?
Click here to see answer by checkley75(3666)

Question 69988: Please, someone help. I do not understand quadratic equation word problems. It iwll be greatly appreciated.
A designer, attempting to arrange the characters of his artwork in the form of a square grid with equal number of rows and columns, found that 24 characters were left out. When he tried to add one more row and column, he found that he was short of 25 characters. Can you find the number of characters used by the designer?

Click here to see answer by stanbon(26297)

Question 69926: In 1990, the St. Louis metropolitan area had an average of 82 x 10^-6 g/m^3 of pollutants in the air. How mant grams of polltants were there in 2 x 10^3 m^3 of air?
Click here to see answer by josmiceli(3013)

Question 70036: Science and medicine. The kinetic energy of a particle of mass m is found by taking one-half of the product of the mass (m) and the square of the velocity (v). Write an expression for the kinetic energy of a particle.
Click here to see answer by Earlsdon(4900)

Question 70083: A rectangular garden is to be surounded by a walkway of constant width. The garden's dimensions are 30 feet by 40 ft. The total area, garden pkus walkway, is to be 1800 sq. ft. What must be the width of the walkway to the nearest thousandth?
Click here to see answer by ankor@dixie-net.com(6693)

Question 70087: The demand and supply equations for a certain item are given by:
D = 5p + 40
S = -p^2 + 30p - 8
Find the equilibrium price..... How do I find the price when I am not sure of the actual numbers? Thank you!
Click here to see answer by stanbon(26297)

Question 70075: a bookshelf is 36 inches long. It has n book on it. If each book were reduced by 1'2 inch, an additional 6 books could be held on the shelf =w.
What is N?.
What is W.?
Thank you

Click here to see answer by checkley75(3666)

Question 70147: A photo is 3 inches longer that it is wide. A 2-inch border is placed around the photo making the total area of the photo and border 108in2. What are the dimensions of the photo?
Help would be appreciated.
Thanks!
Click here to see answer by ankor@dixie-net.com(6693)

Question 70205: A man passes one-ninth of his life in childhood, one-twelfth in youth, and one- third in a childless marriage. But after ten years of marriage, the couple had a child. After attaining one-fourth of her fathers life, the chaos of seemingly random universe of took the child, leaving the man to spend his last 6 years solving algebraic word problems. WHat is the mans final age?
Click here to see answer by Edwin McCravy(2922)

Question 69898: Science and medicine. It is estimated that the Earth is losing 4000 species of
plants and animals every year. If S represents the number of species living last year, how many species are on Earth this year?

Click here to see answer by 303795(562)

Question 70208: A man passes one-ninth of his life in childhood, one-twelfth in youth, and one- third in a childless marriage. But after ten years of marriage, the couple had a child. After attaining one-fourth of her fathers life, the chaos of seemingly random universe of took the child, leaving the man to spend his last 6 years solving algebraic word problems. WHat is the mans final age?
Click here to see answer by jim_thompson5910(13794)

Question 70254This question is from textbook College Algebra
: A carpenter used 30 ft of molding in three pieces to trip a garage door. If the long piece was 2 ft longer than twice the length of each shorter piece then how long was each piece?
This question is from textbook College Algebra

Click here to see answer by checkley75(3666)

Question 70298: You now a+b=2 and a(squared)+b(squared)=3, then what is a(cubed)+b(cubed)=?
Click here to see answer by checkley75(3666)

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