Questions on Algebra: Proportions answered by real tutors!

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Question 1134569: the electrical resistance R of a wire varies directly as the length L and inversely as the square of the diameter d obtain an equation. connecting R, L and d if R =27 when 1=3 and d =2,
calculate the (a)value of R. when L=8 and d=3(b) values of d when .R=16 and L=18

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Question 1134570: the electrical resistance R of a wire varies directly as the length L and inversely as the square of the diameter d obtain an equation. connecting R, L and d if R =27 when 1=3 and d =2,
calculate the
A. value of R. when L=8 and d=3
B. values of d when .R=16 and L=18

Click here to see answer by Alan3354(69443) About Me 

Question 1134557: the electrical resistance R of a wire varies directly as the length L and inversely as the square of the diameter d obtain an equation. connecting R, L and d if R =27 when 1=3 and d =2, calculate the
(a)value of R. when L=8 and d=3
(b) values of d when .R=16 and L=18

Click here to see answer by josgarithmetic(39616) About Me 
Question 1134557: the electrical resistance R of a wire varies directly as the length L and inversely as the square of the diameter d obtain an equation. connecting R, L and d if R =27 when 1=3 and d =2, calculate the
(a)value of R. when L=8 and d=3
(b) values of d when .R=16 and L=18

Click here to see answer by josmiceli(19441) About Me 

Question 1134543: A boy circles 16 km in an hour, and a girl runs 4.4m in a seconds. Which is faster
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Question 1134543: A boy circles 16 km in an hour, and a girl runs 4.4m in a seconds. Which is faster
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Question 1134543: A boy circles 16 km in an hour, and a girl runs 4.4m in a seconds. Which is faster
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Question 1134627: I travelled at 60km/h and took 2hours on a certain journey. How long would it have taken me if i had travelled for 50km/h
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Question 1134628: A shop has a sale reduces all it prizes at the rate of 15k in the N. Find the sale prize of an article marked at N70
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Question 1134559: the number of students in a lecture room is inversely proportional to the square root of the number of lectures in a class of 30 students
there were 25 lectures. what is the evaluation connecting the students and the lectures. find the number of lectures that will be involved when there were 50students

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Question 1134682: An ice cream cone has a scoop of ice cream that is a half-sphere on top. what is the volume of the whole ice cream cone with the ice cream? height is 14 in and radius 9 in. use 3.14 for pi. Round to the nearest tenth. Please and thank you.
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Question 1134694: A tap fills a tank in 60 mins, another tap fills the same tank in 25 mins, and a third tap fills the same tank in 15 mins. How much time will those take if they run at the same time to fill this tank?
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Question 1134694: A tap fills a tank in 60 mins, another tap fills the same tank in 25 mins, and a third tap fills the same tank in 15 mins. How much time will those take if they run at the same time to fill this tank?
Click here to see answer by josmiceli(19441) About Me 
Question 1134694: A tap fills a tank in 60 mins, another tap fills the same tank in 25 mins, and a third tap fills the same tank in 15 mins. How much time will those take if they run at the same time to fill this tank?
Click here to see answer by greenestamps(13198) About Me 

Question 1134721: A Maytag dishwasher has a list price of 1850 and a chain discount of 8/5/6. What are the net price and trade discount?
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Question 1134751: Seismographs can record two types of wave energy (P waves and S waves) that travel through the Earth after an earthquake. Traveling through granite, P waves travel approximately 5 km/sec and S waves travel approximately 3 km/sec. If a geologist working at a seismic station measures a time difference of 40 sec between an earthquake's P waves and S waves, how far from the epicenter of the earthquake is the station?
Click here to see answer by rothauserc(4718) About Me 
Question 1134751: Seismographs can record two types of wave energy (P waves and S waves) that travel through the Earth after an earthquake. Traveling through granite, P waves travel approximately 5 km/sec and S waves travel approximately 3 km/sec. If a geologist working at a seismic station measures a time difference of 40 sec between an earthquake's P waves and S waves, how far from the epicenter of the earthquake is the station?
Click here to see answer by ikleyn(52776) About Me 

Question 1134835: A and B contribute $140000 and $180000 respecrively in a business partnership. Of the profit, A receives 20% as manager and the rest is shared in the ratio of their capitals. What is the ratio of A's total share of the profit to B's?
Click here to see answer by Theo(13342) About Me 

Question 1135066: A clerk whose salary was ​$305 per week was given a raise of ​$61 per week. What percentage increase did the clerk​ receive
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Question 1135064: A property owner listed his property for​ 160% more than he paid for it. The owner eventually accepted an offer 12.5%
below his asking price and sold the property for ​$191 comma 100. How much did the owner pay for the​ property?

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Question 1135097: A stock index was ​$14 comma 548.26 on November​ 5, 2014, and ​$13 comma 558.78 on November​ 5, 2015. Tim holds an investment portfolio representative of the stocks in the index. If the value of the portfolio on November​ 5, 2014, was ​$222 comma 304​, what was the value of the portfolio on November​ 5, 2015?
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Question 1135148: A stock index was ​$14,548.26 on November​ 5, 2014, and ​$13,558.78 on November​ 5, 2015. Tim holds an investment portfolio representative of the stocks in the index. If the value of the portfolio on November​ 5, 2014, was ​$222,304​, what was the value of the portfolio on November​ 5, 2015?

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Question 1135354: Suhami Chadhuri has a four-ninths interest in a partnership. She sold
three-elevenths of her interest for ​$2600.
​(a) What was the total amount of Ms.​ Chadhuri's interest before​ selling?
​(b) What is the value of the​ partnership?

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Question 1134834: Costa starts a company with $2,400,000. After 6 months, he is joined by Luiz, who contributes $3,000,000 in capital. Two months later Costa and Luiz are joined by Paul, who contributes $3,300,000. Of the profit accruing a year after Costa had started operations, Costa receives 20% as manager and Paul receives 4% as assistant manager. The remaining profits are then shared in the ratio of the product of their holding in the company and the time elapsing since each of them joined the company. If the profit at the end of the first year was $1,050,000, calculate the total amount received by each of the three partners in the company.
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Question 1135655: 450 tickets were sold at an opera in Calgary. Tickets for adults were sold for $9.50 each and tickets for children were sold for $5.50 each. If a total of $3,675 was collected from ticket sales, how many tickets of each kind were sold?
Click here to see answer by josgarithmetic(39616) About Me 
Question 1135655: 450 tickets were sold at an opera in Calgary. Tickets for adults were sold for $9.50 each and tickets for children were sold for $5.50 each. If a total of $3,675 was collected from ticket sales, how many tickets of each kind were sold?
Click here to see answer by ikleyn(52776) About Me 

Question 1135654: Company A charged a one-time setup fee of $40 and $1.25 per page to print a book. Company B charged a one-time setup fee of $25 and $1.30 per page to print a book.
(a) Where would it have been cheaper to print a book that has 160 pages?
(b) How many pages should a book have for both companies to charge the same amount in printing cost?

Click here to see answer by josgarithmetic(39616) About Me 
Question 1135654: Company A charged a one-time setup fee of $40 and $1.25 per page to print a book. Company B charged a one-time setup fee of $25 and $1.30 per page to print a book.
(a) Where would it have been cheaper to print a book that has 160 pages?
(b) How many pages should a book have for both companies to charge the same amount in printing cost?

Click here to see answer by josmiceli(19441) About Me 

Question 1135652: Anna invested a total of $10,000 in Funds A and B. The amount in Fund A earned an interest of 4% per annum and the amount in Fund B earned an interest of 5% per annum. If the total interest earned from both these funds at the end of one year was $470, how much did she invest in each fund?

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Question 1135652: Anna invested a total of $10,000 in Funds A and B. The amount in Fund A earned an interest of 4% per annum and the amount in Fund B earned an interest of 5% per annum. If the total interest earned from both these funds at the end of one year was $470, how much did she invest in each fund?

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Question 1136307: It takes Earl 2 hours to paint a fence. It would take 3 hours for Ted to paint a same fence. If Earl and Ted work together to paint half the fence, then Earl leaves and Ted paints the rest of the fence by himself, how long would it take in total for the fence to be painted>
Click here to see answer by josmiceli(19441) About Me 

Question 1136309: How many square numbers (including 0) are less than 2016 and divisible by 7?
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Question 1136308: Find the sum of all natural numbers less than 100 that are not divisible by 3?
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Question 1136304: Students Arn, Bob, Cyd, Dan, Eve, Fon are arranged in that order in a circle. They start counting. Arn first, then bob and so forth. When the number contains a 7 as a digit (such as 47) or is a multiple of 7 that person leaves the circle and the counting continues. Who is the last one present in the circle?
Click here to see answer by ikleyn(52776) About Me 

Question 1136536: $90 is hared among 3 friends. Tom gets $10 more than Ram who gets $10 more than Chin. How much does each boy get?
Click here to see answer by ikleyn(52776) About Me 
Question 1136536: $90 is hared among 3 friends. Tom gets $10 more than Ram who gets $10 more than Chin. How much does each boy get?
Click here to see answer by greenestamps(13198) About Me 

Question 1136534: An even number is chosen randomly from a set of cards labeled with the
numbers 1 through 8. A second even number is chosen without the first
card being replaced. Are these independent or dependent events? What is
the probability of both events occurring?

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Question 1136764: £20 is divided between Pip, Sara & Gordon so that Pip gets twice as much as Sara, and Sara gets three times as much as Gordon. How much does Pip get?
Click here to see answer by ikleyn(52776) About Me 

Question 1136933: Steve produced 45 liters of apple juice in one day of pressing. After drank some of it, he thought it was to strong tasting. So he removed 9 liters of apple juice and replaced it with 9 liters of water. After a second taking, he found it still to strong, so he removed another 9 liters and added 9 liters of water. Determine the ratio of apple juice to water in his final mixture.

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Question 1137279: The mass Kg of a metal bar varies jointly as its length L meters and the square of its diameter d mm. If W = 140 when d = 4 and L = 54, find d in terms of W and L
Click here to see answer by josmiceli(19441) About Me 

Question 1137719: The power, P (watts), of a car engine is proportional to the square of its speed, k (m/s).
When k=35, P=2200.
Work out the power (to 1DP) when the speed is 40m/s

Please could you help me with this question. I have tried but I just really do no understand it. When I tried I got the answer of 0.6 watts. The site called Hegartymaths told me that it was incorrect and the video it comes with is not very understandable for me.
Thank You.

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

Question 1138002: This is my child's homework. Would appreciate your help. They use proportions to solve percent word problems so if you could please provide a solution using proportions, it will be easier for him to understand. Thank you in advance.

An appliance store sold a refrigerator for $775. The sale price was 25% off after an instant rebate of $25.00. What was the original price of the refrigerator?

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Question 1138002: This is my child's homework. Would appreciate your help. They use proportions to solve percent word problems so if you could please provide a solution using proportions, it will be easier for him to understand. Thank you in advance.

An appliance store sold a refrigerator for $775. The sale price was 25% off after an instant rebate of $25.00. What was the original price of the refrigerator?

Click here to see answer by josgarithmetic(39616) About Me 

Question 1138023: two rectangles are similar. The first is 4 inches wide and 15 in long is 9 inches wide find the length of the second triangle
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Question 1138204: Suppose that X is normally distributed with mean 125 and standard deviation 22.
What value of X does only the top 15% exceed?
X =

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