Tutors Answer Your Questions about Miscellaneous Word Problems (FREE)
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(75887) |
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(75887) |
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(11628) |
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(1343)  |
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(75887) |
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(7384)  |
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(5328)  |
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(75887) |
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)  |
Question 604225: Wes is mixing peanuts and chocolate pieces. Peanuts sell for $4.50 a pound and the chocolate sells for $6.50 a pound. How many pounds of chocolate mixes with 5 pounds to obtain a mixture that sells for $5.25 a pound?
Click here to see answer by alicealc(293) |
Question 560153: A company produces a product on a number of machines. Each machine generates between $200 and $400 of revenue per day according to the uniform probability distribution. When a machine breaks down, it must be repaired, and the repair time may take 1, 2, or 3 days to be completed according to the following probability distribution:
Repair time in Days
Probability
1
0.30
2
0.45
3
0.25
The company would like to know whether it should purchase a back-up machine at a cost of $6000. The management has decided that if the loss of revenue due to machine downtime was $9000 or more per year, then a back-up machine should be purchased.
In order to perform the comparison, the management decided to develop a simulation model for this situation. To develop this model, they first needed to know the time between breakdowns. According to their estimate, the time between breakdowns is between 0 and 8 weeks, with the probability increasing the longer the machine went without breaking down. Thus the probability distribution of breakdowns looked like the following:
Perform an annual simulation and determine the loss of revenue due to machine breakdown. Next, decide whether a back-up machine would be needed. Show all work and explain your results. Please note that points are deducted if clear explanations are not included with the solutions. You may write your explanations in the Excel spreadsheet.
..
Click here to see answer by wenesowell44(1) |
Question 604366: A rectangular swimming pool that is 7 meters deep, 11 meters long, and 10 meters wide. water is $20 per kiloliter. How much will it cost to fill the pool?
Here is what I have written, just don't remember how to set it up properly.
7*11*10=volume*1 kl/m^3*20 $/kl=$15,400
Click here to see answer by KMST(5328)  |
Question 604463: Hello
Here is a word problem I am having trouble with.
Bob invests in two different retirement funds. He invests some money in a fund with 3% interest and twice as much money in another fund at 4.5% interest. Find the amount deposited at each rate if the total annual interest income is $3,000.
Here is the equation I have written but not sure if it is correct.
Thanks
Click here to see answer by mananth(16946)  |
Question 604361: A bug is placed on the road and its distance t seconds after it is put down is p(t)= -16t^2 + 64t. At what moment will the bug be 14 feet from where it began?
At what time will the bug turn around and head back to its starting place?
How far from where it began will the bug be when it turns around?
Click here to see answer by Alan3354(69443)  |
Question 604411: The outside measurements of a rectangular frame for a picture are 30 inches by 40 inches. The area of the rectangular picture inside the frame is 936 inches. Find the width of the frame that surrounds the picture.
Click here to see answer by alicealc(293) |
Question 604758: Choose the system of equations in x and y describing the situation.
Leroy has $15 less in his pocket than Donna. If Donna hs $8 more, she would have 4 times as much money as Leroy. This confuses me. Which do I use to figure out the problem?
a) x=y-15
y-8=4x
b) x=y-15
y+8=4x
c) x=y-15
y+8=x+4
d) y=x-15
y+8=4x
Click here to see answer by alicealc(293) |
Question 605299: Please help this is a part of Statistical Reasoning and I am completely lost.
Create a scatter plot using the following data. Tell whether the linear correlation is positive, negative, or neither. Let t be the horizontal axis and n the vertical axis.
t -6 -4 3 0 -2 -3 -1 1 2 -5
n 10 5 -7 -2 2 3 0 -5 -6 7
Click here to see answer by jim_thompson5910(35256) |
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