Tutors Answer Your Questions about Miscellaneous Word Problems (FREE)
Question 601293: At a certain time, Janice notices that her digital watch reads a minutes after two o’clock. Fifteen minutes later, it reads b minutes after three o’clock. She is amused to note that a is six times the value of b. What time was it when she looked at her watch for the second time?
Click here to see answer by josmiceli(9697)  |
Question 601296: A box containing 3 oranges, 2 apples, and one banana weighs 15 units. Another box containing 5 oranges, 7 apples, and 2 bananas weighs 44 units. A third box containing 1 orange, 3 apples, and 5 bananas weighs 26 units. How much does each fruit weigh?
Please help.
Click here to see answer by flame8855(424)  |
Question 601349: The highest mountain peak in the world is Mt. Everest, located in the Himalayas. The height of this enormous mountain was determined in 1856 by surveyors using trigonometry long before the mountain was first climbed in 1953. This difficult measurement had to be done from a great distance. At an altitude of 14,545 feet on a different mountain, the straight line distance to the peak of Mt. Everest is 27.0134 miles and its angle of elevation is 5.52 degrees. Approximate the height in feet of Mt. Everest. (1 mile = 5280 feet).
Click here to see answer by ankor@dixie-net.com(15661)  |
Question 601451: A bag contains a total of 20 batteries, of which six are defective. Selecting two at random, without replacement, determine the probability that none of the batteries you select are good. Show all work.
3/5
3/10
3/38
9/100
Click here to see answer by Alan3354(30993)  |
Question 601435: How do I find the answer to the following math word problem? "Mila took a trip and drove the first 20 miles at a speed of 50 mph. If she wants her average speed for the entire trip to be 40 mph, how fast should she drive for the last 70 miles of her trip?"
Click here to see answer by htmentor(789)  |
Question 601435: How do I find the answer to the following math word problem? "Mila took a trip and drove the first 20 miles at a speed of 50 mph. If she wants her average speed for the entire trip to be 40 mph, how fast should she drive for the last 70 miles of her trip?"
Click here to see answer by solver91311(16897)  |
Question 600933: Associate Level Material
Appendix E
Radicals
Application Practice
Answer the following questions. Use Equation Editor to write mathematical expressions and equations. First, save this file to your hard drive by selecting Save As from the File menu. Click the white space below each question to maintain proper formatting.
Hint: Pay attention to the units of measure. You may have to convert from feet to miles several times in this assignment. You can use 1 mile = 5,280 feet for your conversions.
1. Many people know that the weight of an object varies on different planets, but did you know that the weight of an object on Earth also varies according to the elevation of the object? In particular, the weight of an object follows this equation: , where C is a constant, and r is the distance that the object is from the center of Earth.
a. Solve the equation for r.
b. Suppose that an object is 100 pounds when it is at sea level. Find the value of C that makes the equation true. (Sea level is 3,963 miles from the center of the Earth.)
c. Use the value of C you found in the previous question to determine how much the object would weigh in
i. Death Valley (282 feet below sea level).
ii. the top of Mount McKinley (20,320 feet above sea level).
2. The equation gives the distance, D, in miles that a person can see to the horizon from a height, h, in feet.
a. Solve this equation for h.
b. Long’s Peak in Rocky Mountain National Park, is 14,255 feet in elevation. How far can you see to the horizon from the top of Long’s Peak? Can you see Cheyenne, Wyoming (about 89 miles away)? Explain your answer.
Click here to see answer by richard1234(5390)  |
Question 601514: The Royal Fruit Company produces two types of fruit drinks. The first type is 65% pure fruit juice, and the second type is 90% pure fruit juice. The company is attempting to produce a fruit drink that contains 85% pure fruit juice. How many pints of each of the two existing types of drink must be used to make 80 pints of a mixture that is 85% pure fruit juice?
Click here to see answer by stanbon(57395) |
Question 602123: To estimate animal populations, biologiest count the total number of animals in a small section of a habitat. TAhe total population of animals is directly proportional to the size of the habitat (in acres) polled. Write an equation using only one variable that could be used to solve for the constant of variation k.
Click here to see answer by stanbon(57395) |
Question 602466: A pebble is hurdled upward from the top of a 1120-foot-tall building with an initial velocity of 144 feet per second. Neglecting air resistance, the height h(t) in feet of the pebble after t seconds is given by the polynomial function:
h(t)=-16t squared + 144t + 1120
When will the pebble hit the ground?
Click here to see answer by stanbon(57395) |
Question 602812: At a certain party, first the ratio of boys to girls was five to three.If,after 10 boys left,the ratio became one to one, how many people were originally at the party ?Please show me the steps.
A.48 B.40 c.56 D.32 E. None of these
Click here to see answer by lwsshak3(6522) |
Question 602808: If the average of m numbers is y, and when x is added to the m numbers, the average of the m+1 numbers is b, then x is equal to which of the following.Please show me the steps.
A. my+b B. 2my-mb C. b-y+my D. b(m+1)-my
E. none of these
Click here to see answer by flame8855(424)  |
Question 602802: Story problem: LaToy had a large collection of basketball cards. She decided to give half of them to her friend, and a fourth to her brother. She still has 150 cards left. How many cards did she start with?
Click here to see answer by htmentor(789)  |
Question 603039: A boy is standing next to the chimney on top of the roof of a house, which is located on the top of a cliff. The chimney runs straight down into the fireplace at the floor of the basement of the house. The cliff on which the house is built rises 50 feet above the ocean below. The roof of the house is 18 feet above the ground on which it is built, and the floor of the basement is 9 feet below ground. He throws a ball straight upward with an initial velocity of 80 feet per second. At the moment the ball is released, the boy's hand is level with the top of the chimney 5 feet above the roof. From this information, it can be shown that the height h of the ball t seconds after it is released from the boy's hand is modeled by the following equation:
h(t)= -16t2 + 80t +73
to the nearest tenth of a second, determine the amount of time after the ball is released from the boy'y hand at which it lands in the fireplace in the basement of the house.
Click here to see answer by stanbon(57395) |
Question 603039: A boy is standing next to the chimney on top of the roof of a house, which is located on the top of a cliff. The chimney runs straight down into the fireplace at the floor of the basement of the house. The cliff on which the house is built rises 50 feet above the ocean below. The roof of the house is 18 feet above the ground on which it is built, and the floor of the basement is 9 feet below ground. He throws a ball straight upward with an initial velocity of 80 feet per second. At the moment the ball is released, the boy's hand is level with the top of the chimney 5 feet above the roof. From this information, it can be shown that the height h of the ball t seconds after it is released from the boy's hand is modeled by the following equation:
h(t)= -16t2 + 80t +73
to the nearest tenth of a second, determine the amount of time after the ball is released from the boy'y hand at which it lands in the fireplace in the basement of the house.
Click here to see answer by nerdybill(6963)  |
Question 603080: Logan and Izzy had the same number of stickers. After Izzy gave him 72 stickers, Logan had 3 times as many stickers as Izzy. How many stickers did they have altogether?
I don't know how to do this.
Click here to see answer by KMST(1874)  |
Question 603908: I need some help, no one has been able to answer this question.
A student is designing a club logo to be produced on a computer screen. The outline is a regular pentagon inscribed in a circle with radius 10. One vertex is at (0,10). Find (to the nearest thousandth) the coordinates of the other vertices.
Click here to see answer by stanbon(57395) |
Question 603908: I need some help, no one has been able to answer this question.
A student is designing a club logo to be produced on a computer screen. The outline is a regular pentagon inscribed in a circle with radius 10. One vertex is at (0,10). Find (to the nearest thousandth) the coordinates of the other vertices.
Click here to see answer by scott8148(6628)  |
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