Tutors Answer Your Questions about Proportions (FREE)
Question 171905: Hello, to anyone that can help, this is a story problem and the bane of my existance. I will be appreciative to anyone who can help. Here it is:
To estimate animal populations, biologists count the total number of animals in a small section of a habitat. The total population of animals is directly proportional to the size of the habitat (in acres) polled.First we are asked to a write an equation using only one variable that could be used to solve for the constant of variation k.
Then it says that they surveyed 100 miles of ground and found 12 deer. They want the constant of variation k.
And the third part to the question: if the entire nature preserve is 2,500 acres, then what is the total white tail deer population in the preserve?
I think that the first question might be y=kx? But I can't be sure and then I cannot figure out how that affects problem number two. I think the third one is just a simple ration or proportion equation that would be
100/12=2500/x which would make x 300. Again not sure, and can't figure out how this fits in with the first two parts of the question. Please help, and thank you in advance
Click here to see answer by Mathtut(3670)  |
Question 172838: Kim was selected class president. She received 3 votes for every 2 that Amy got. No one else ran. However, if 8 of the people who voted for Kim had voted for Amy instead, Kim would have received only 1 vote for every 2 that Amy would have gotten. How many people voted?
Click here to see answer by Mathtut(3670) |
Question 163481: The annual cost in dollars for removing p% of the toxic chemicals from a town’s water supply is given by the formula C(p) 500,000/100-p
a) Use the accompanying graph to estimate the cost for removing 90% and 95% of the toxic chemicals.
b) Use the formula to find C(99.5) and C(99.9).
c) What happens to the cost as the percentage of pollutants removed approaches 100%?
Click here to see answer by checkley77(12569) |
Question 161870: Cindy's job is to check computer printers for defects. Out of 420 printers she has to check, only 3 of the first 84 have been defective. Using this information, what is the best prediction of the total number of printers in this group that will be defective?
I know that 420/84 is 5 and that 5x3=15, but how do you set up the problem?
Click here to see answer by actuary(112) |
Question 175996: If a cylinder has a raius of 3 cm and a length of 10 cm. and every dimension of the cylinder is multiplied by 3 to form a new cylinder. How is the ratio of the volumes related to the ratio of the corresponding dimensions?
Click here to see answer by Alan3354(31534)  |
Question 176133: Hi there. I'm currently trying to complete an assignment and the first question has me stumped. I've tried looking up how to do it, tried ratio etc and can't for the life of me work out the formula I'm meant to use. The question as printed is as follows:
'A commercial developer is considering three brown field sites on the perimeter of Leeds city centre. All plots are being sold by Leeds City Council at prices such that plot A is £20 000 less than plot B, and plot B is £ 30 000 more than plot C. The sale of the three plots will generate an income of £3 190 000 for the council. Determine the sale price for each plot.'
Thanks in advance for your help.
Click here to see answer by gonzo(654) |
Question 178288: Greetings:
My son asked me for help in resolving this: 3/16+11/15+7+12. I do not want you to resolve the equatiation just if you can point me with guides so i can refresh my memory. or websites that can show me how to understand and resolve this kind of problems I will appreciate it very much. Thanks
Click here to see answer by scott8148(6628)  |
Question 178529: last month i wrote down the following facts while on my delivery job: i work 5 days a week for 8 hours a day, last month i worked 20 days, my truck gets 21 miles per gallon, i drive at an average speed of 45 miles per hour, i drive about 350 miles per day, gas cost $3.499 per gallon. how much did i spend on gas last month?
Click here to see answer by Mathtut(3670) |
Question 178547: My shower is leaking at a rate of one drop per second.
A. how many cups of water per hour are being wasted?
B. how many gallons per week?
useful conversion; 1gallon = 4 quarts, 4 cups = 1 quart,
1 cup = 16tbsp, 1tbsp = 3tsp,
1tsp = 16drops.
Click here to see answer by Mathtut(3670) |
Question 178547: My shower is leaking at a rate of one drop per second.
A. how many cups of water per hour are being wasted?
B. how many gallons per week?
useful conversion; 1gallon = 4 quarts, 4 cups = 1 quart,
1 cup = 16tbsp, 1tbsp = 3tsp,
1tsp = 16drops.
Click here to see answer by laflorida(4) |
Question 178894: I am having a very difficult time trying to reach the solution to this problem.
I am to find the value of x:
x/x+5 = x-4/x
So far, I've crosses multiplied them and arrived at 2x = x+5(x-4).
Then, I foiled out the second part of the equation and got:
2x = x^2-4x+5x-20 and simplified that to 2x=x^2+x-20.
Now, I'm at a loss to do. Was I supposed to have foiled out the problem and if so, did I do it incorrectly?
I don't know how to solve for x at this point in the equation.
Click here to see answer by Alan3354(31534) |
Question 178894: I am having a very difficult time trying to reach the solution to this problem.
I am to find the value of x:
x/x+5 = x-4/x
So far, I've crosses multiplied them and arrived at 2x = x+5(x-4).
Then, I foiled out the second part of the equation and got:
2x = x^2-4x+5x-20 and simplified that to 2x=x^2+x-20.
Now, I'm at a loss to do. Was I supposed to have foiled out the problem and if so, did I do it incorrectly?
I don't know how to solve for x at this point in the equation.
Click here to see answer by Mathtut(3670) |
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