Questions on Algebra: Proportions answered by real tutors!

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Question 109956: Hi everyone.
I am stuck on another problem which I have been working on since yesterday morning, and although I have the answer from the text. I have absolutely no idea how they have came about it, any assistance would be greatly appreciated. Cheers D
The question is as follows:-
The frequency of revolution, n (i.e. the number of orbits per unit of time), of a satellite above the earth varies inversely as sqrt r^3, where r is the radius of orbit. Given that a satellite whose radius of orbit is 5080 km orbits the earth each hour, find:
The radius of orbit for a satellite that orbits the earth once per day (correct to the nearest 100 km)
It gives me an answer of 42,300 km. This is however how I have gone about trying to solve this problem: ((sqrt5080^3)*(1/24))/(24/1)= 628.598. I have tried various different combinations but am still struggling to get the correct answer.
Again your help and assistance would be greatly appreciated. Thank you. Cheers D

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Question 110003: I don't get how to write a proportion. For example, 15 is 25% of what? I don't get how to put it into a proportion.
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Question 110250: The school board estimates that there will be a 2.5% increase in enrollment for next year. If the present enrollment is 8,657 what is the estimated enrollment?
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Question 110308: The school board estimates that there will be a 2.5% increase in enrollment for next year. If the present enrollment is 8,657, what is the estimated enrollment?
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Question 110308: The school board estimates that there will be a 2.5% increase in enrollment for next year. If the present enrollment is 8,657, what is the estimated enrollment?
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Question 110622: 5+y= 14
--- --
y-3 10

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Question 110968: On Sunday, 845 people went to the zoo. On Tuesday, 169 people went. What is the percent of decrease from Sunday to Tuesday?

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Question 110969: A building is casting a 100 ft. shadow at the same time that a 5 ft. post is casting a 1 ft. shadow.
Write a proportion that involves the height of the building, the height of the post, and legnths of the shadows.
How high is the building?

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Question 110969: A building is casting a 100 ft. shadow at the same time that a 5 ft. post is casting a 1 ft. shadow.
Write a proportion that involves the height of the building, the height of the post, and legnths of the shadows.
How high is the building?

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Question 111010: on some days, a bakery packages cupcakes 4 to a box. On other days, they package cupcakes 6 or 8 to a box. On a given day, all of the cupcakes baked were packaged and there was one cupcake left over. Which of the following could not be the number of cupcakes baked on that day?
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Question 111359: Carney college is expanding from 850 to 1050 students. To avoid any rise in the student to faculty ratio, the faculty of 69 professors must also iincrease. How many new faculty positions should be created?
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Question 111697: AN ADMINISTRATOR OF A POPULAR WEB SITE IS TOLD THAT A NEW SERVER CAN HANDLE 11,000 HITS (USERS ACCESSING THE SITE) PER SECOND. THE WEB SITE CURRENTLY EXPERIENCES A PEAK DEMAND OF ABOUT 85,000 HITS PER SECOND; BUT EVERY MONTH THE PEAK DEMAND INCREASES BY 3500 HITS PER SECOND. USE A PROPORTION EQUATION TO DETERMINE HOW MANY NEW SERVERS THE ADMINISTRATOR SHOULD BUY TO ADDRESS EXPECTED TRAFFIC FOR THE NEXT 18 MONTHS.
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Question 111696: A NEW VIRUS IS RELEASED ON THE INTERNET; THE ADMINISTRATOR OF A DEPARTMENTS LOCAL ARE NETWORK (LAN) IS GIVEN FIVE MINUTES BY A MANAGER TO ESTIMATE THE IMPACT. THE ADMINISTRATOR SAMPLES 12 OF THE PCs CONNECTED TO THE LAN, AND FINDS THAT 7 ARE INFECTED; USE PROPORTION TO ESTIMATE THE NUMBER OF INFECTED PCs IF THERE ARE A TOTAL OF 117 PCs CONNECTED TO THE LAN.
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Question 111695: A LAWYER BILLS HER CLIENT $250 PER HOUR OF SERVICE. IF A CLIENTS CASE REQUIRES 47 HOURS TO COMPLETE, USE PROPORTION TO CALCULATE HOW MUCH THE CLIENT WILL OWE THE LAWYER(INCLUDE TAX).
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Question 111848: Evaluate f/4 if f=1/5.
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Question 113462: I know the answer, which is 97, because I found it in the back of the book, but I can't figure out how to solve the problem and I need to show work. Please help me with the steps. The question is:
Verna decided to sell her collection of paperback books. To Fred, she sold 2 books, and one fifth of what was left. Later to Joan she sold 6 books, and one fifth of what then remained. If she sold more books to Fred than to Joan what was the least possible number of books in her original collection?

Click here to see answer by edjones(8007) About Me 
Question 113462: I know the answer, which is 97, because I found it in the back of the book, but I can't figure out how to solve the problem and I need to show work. Please help me with the steps. The question is:
Verna decided to sell her collection of paperback books. To Fred, she sold 2 books, and one fifth of what was left. Later to Joan she sold 6 books, and one fifth of what then remained. If she sold more books to Fred than to Joan what was the least possible number of books in her original collection?

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Question 114182: Find the unit rate.
3.186 words/3 min
Any help with this equation would be Greatly appreciated.

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Question 114684: Paul invested $5000 in a time deposit. What interest will he earn for 1 year if the interest rate is 6.5%?
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Question 114693: 2h-6=2
_____ _
6 3

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Question 115123: I am not sure if this is the correct place for this and I do not understand it at all. Can you help please. Thanks so much for your time.
Evaluate 66 ft/s times 1 mi/5,280 ft times 3,600 s/h.

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Question 115177: a forest contains about 500 trees. You randomly pick 67 trees and find that 27 of them are oaks. What is the experimental probability that a tree in the forest is an oak?
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Question 115712: 6x^2-13x-63=0
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Question 116565: In the formula V = lvh, find l when 2=4 inch., h = 6 inch., and V = 144 cu. in.
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Question 116565: In the formula V = lvh, find l when 2=4 inch., h = 6 inch., and V = 144 cu. in.
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Question 116620: A quality control inspector found flaws in 13 out of 150 sweaters.

Here is the question: Find the probability that a sweater has a flaw. How many will not have flaws.

Whoever solves this thanks!!!!

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Question 116619: A quality control inspector found flaws in 13 out of 150 sweaters.
HERE IS THE QUESTION: Suppose the company produces 500 sweaters a day. How many will not have flaws?

Thanks you so much whoever solves this!!!!

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Question 117310: Please explain how to do this whith ratios.; my problem is this:attendence at the concert was 480. the ratio from adults to kids was 5/3. how many kids were there?
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Question 117310: Please explain how to do this whith ratios.; my problem is this:attendence at the concert was 480. the ratio from adults to kids was 5/3. how many kids were there?
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Question 117460: Mrs.Benedict offers extra credit when she gives a math test. She writes the first 5 prime numbers on 5 separate cards and places them in a box.Students are permitted to draw one card to determine their extra credit when the test is finished. The cards are replaced after each student draws. What is the most extra credit a student can receive on a test? What is the probability of drawing that card?

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Question 118035: I been trying to slove this for two days and all I can come up with is how I cross multiply, Well this is the problem n/5=7/4 what I got so far was 35 when I cross multiply. the answer is 8.8 Im thinking I have to divide and when I did I divided 4 into 35 and got 8. if you can please show me how to get the answer dont slove it for me. I have alot of homework in this and I would like to know how to do it.


Thanks.

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Question 118035: I been trying to slove this for two days and all I can come up with is how I cross multiply, Well this is the problem n/5=7/4 what I got so far was 35 when I cross multiply. the answer is 8.8 Im thinking I have to divide and when I did I divided 4 into 35 and got 8. if you can please show me how to get the answer dont slove it for me. I have alot of homework in this and I would like to know how to do it.


Thanks.

Click here to see answer by jim_thompson5910(35256) About Me 

Question 118263: This question is very hard and I get it wrong everytime so I hope you can help.
A 90-foot tall lakefront hotel casts a showdow on the water.
How long is the shawdow if a nearby 10-foot tall basketball hoop casts a 7-foot shawdow?
PLEASE RESPOND AND THANKYOU!

Click here to see answer by TP(29) About Me 
Question 118263: This question is very hard and I get it wrong everytime so I hope you can help.
A 90-foot tall lakefront hotel casts a showdow on the water.
How long is the shawdow if a nearby 10-foot tall basketball hoop casts a 7-foot shawdow?
PLEASE RESPOND AND THANKYOU!

Click here to see answer by jim_thompson5910(35256) About Me 
Question 118263: This question is very hard and I get it wrong everytime so I hope you can help.
A 90-foot tall lakefront hotel casts a showdow on the water.
How long is the shawdow if a nearby 10-foot tall basketball hoop casts a 7-foot shawdow?
PLEASE RESPOND AND THANKYOU!

Click here to see answer by MathLover1(20849) About Me 

Question 118598: Mindy left at 8 am and will arrive at 1 pm. Kelly left at 8 am and will arrive at 2 pm. How many miles is the trip if Kelly is traveling 10 mph slower than Mindy?
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Question 118737: This question is really hard and I need a lot of help!

Researchers marked and released 36 pike in a pond. Later they counted 20 pike, 12 of which were marked. Estimate the pike population. See I got the answer 60 is that right or am I wrong?

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Question 118780: a car travels 150 km on 12L of gasoline.how many liters of gasoline are needed to travel 1500km?
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Question 118789: a loading crew estimates that it can load 8 boxes in 20 mins.at this rate,how many boxes could it load in 1 hr?
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Question 118827: If 4/x = 5/3, then x =
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Question 90268: x/3-7=x/3
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Question 119066: 3 = 1

9p
2p + 5

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Question 119037: On the written portion of her driving test, Sara answered 84% of the questions correctly. If Sara answered 42 questions correctly, how many questions were on the driving test?
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Question 119067: 7/2=R/R-15
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Question 119219: im doing homework in pre-algebra and i am not sure if it is proportions the book doesnt say but the problem is -10=-2b and it says you have to find the value of "b" but i cant figure out how
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