Questions on Word Problems: Translating English into Algebreze answered by real tutors!

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Question 1140860: It takes a smaller hose twice as long to fill a certain swimming pool as it does a larger holes. It takes both hoses working together 25 minutes to fill the pool. How long will it take the larger hose to fill the pool by it self? Do not do any rounding.
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Question 1140868: A new type of pump can train a certain pool in 4 hours. An older pump can drain a pool in 6 hours. How long will it take both pumps working together to drain the pool? Do not do any rounding.
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Question 1140957: Left on together the, cold and hot water faucets of a certain bathtub take five minutes to fill the tub. If it takes the hot water faucet 15 minutes to fill the tub by it self, how long will it take the Cold-water faucet to fill the tub on its own?
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Question 1140961: It takes an older computer twice as long to send out a company email as it does a newer computer. Working to gather it takes the two computers 15 minutes to send out the email. How long will it take the newer computer to send out the email on its own?
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Question 1140961: It takes an older computer twice as long to send out a company email as it does a newer computer. Working to gather it takes the two computers 15 minutes to send out the email. How long will it take the newer computer to send out the email on its own?
Click here to see answer by ikleyn(52785) About Me 

Question 1140971: One hose can fill a small swimming pool and 65 minutes. A larger hose can fill a swimming pool in 35 minutes. How long will it take both hoses to fill the swimming pool?

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Question 1140971: One hose can fill a small swimming pool and 65 minutes. A larger hose can fill a swimming pool in 35 minutes. How long will it take both hoses to fill the swimming pool?

Click here to see answer by josgarithmetic(39617) About Me 

Question 1140982: Working together to pumps can train a certain pool in four hours. If it takes the older pump nine hours to drain the pool by itself how long will it take the newer pump to drain the pool on its own?
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Question 1141038: The half-life of a radioactive isotope is the time it takes for a quantity of the isotope to be reduced to half its initial mass. Starting with
205
grams of a radioactive isotope, how much will be left after
6
half-lives?
Use the calculator provided and round your answer to the nearest gram.

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Question 1141511: The quadratic function I( t )= - 0.1t2 + 1.6t represents the yearly income (or loss) from a real estate investment, where t is time in years. In what year does income reach its maximum?
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Question 1141775: A boat traveled downstream a distance of 36 mi and then came right back. If the speed of the current was 12 mph and the total trip took 4 hour find the average speed of the boat relative to the water.
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Question 1141775: A boat traveled downstream a distance of 36 mi and then came right back. If the speed of the current was 12 mph and the total trip took 4 hour find the average speed of the boat relative to the water.
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Question 1142552: Three cards are dealt from a standard deck of fifty-two cards (without replacement); the probability that there is at least one face card?
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Question 1142552: Three cards are dealt from a standard deck of fifty-two cards (without replacement); the probability that there is at least one face card?
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Question 1142738: A company has an order for 810 suits, another company has to make 900 suits in the same period of time. The first company has completed its task 3 days ahead of time and the second company 6 days ahead of time. How many suits does each company produce per day, if the second company makes 4 suits per day more than the first?
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Question 1142738: A company has an order for 810 suits, another company has to make 900 suits in the same period of time. The first company has completed its task 3 days ahead of time and the second company 6 days ahead of time. How many suits does each company produce per day, if the second company makes 4 suits per day more than the first?
Click here to see answer by Theo(13342) About Me 

Question 1142854: A certain forest covers an area of 4300km^2. Suppose that each year this area decreases by 3%. What will the area be after 9 years?
Use the calculator provided and round your answer to the nearest square kilometer.

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Question 1143308: The magnitude of an earthquake is measured on the Richter scale as a logarithm of the intensity of the shock wave. For magnitude R and intensity I, the formula is R=log(I) The September 20, 1999 earthquake in Taiwan measured 7.7 on the Richter scale. The San Jacinto earthquake in October 31, 2001 measured 5.1 on the scale. How many times more intense was the Taiwan earthquake than the San Jacinto earthquake? Round your answer to two decimal places, if necessary.
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Question 1143721: In country​ A, about four times as many cars are manufactured per day than in country B. If the total number of these cars manufactured per day is 33 comma 045​, find the number manufactured in country B and the number manufactured in country A.
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Question 1143774: 108 is the product of Vidya's age and 9. Use the variable v to represent Vidya's age.
Translate this sentence into an equation.

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Question 1144092: The sum of the digits of a two-digit number is 7. The tens' digit is one more than twice the units' digit. Find the number.
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Question 1144092: The sum of the digits of a two-digit number is 7. The tens' digit is one more than twice the units' digit. Find the number.
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Question 1144158: Paul bought a student discount card for the bus. The card allows him to buy daily bus passes for 1.50. After oe month, Paul bought 15 passes and spent a total of 29/50. How much did he spend on the student discount card?
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Question 1144551: Three

times a​ number, minus 2
​,
is equal to two

times the​ number, plus 5
.
Find the number.

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Question 1144588: Ed's Tires and Brakes has two locations, one on the northwest side of town and one on the southeast side of town. At both locations are performed routine tire repairs and rotations, as well as expensive brake repairs. This past week, of the cars serviced at Ed's were serviced at the northwest location, while of the cars were serviced at the southeast location. (No car was serviced at both locations.) Brake repairs were more typical at the northwest location than at the southeast location: of the cars at the northwest location required brake repairs, while of the cars at the southeast location required brake repairs.
Let denote the event that a randomly chosen car (taken to Ed's in the past week) was serviced at the northwest location and denote the event that a randomly chosen car was serviced at the southeast location. Let denote the event that a randomly chosen car required brake repairs and denote the event that a randomly chosen car did not require brake repairs.
Fill in the probabilities to complete the tree diagram below, and then answer the question that follow

Click here to see answer by greenestamps(13200) About Me 

Question 1144711: While traveling to his grandmother's for Christmas. George fell asleep a fifth of the way through the journey. When he awoke he still had to travel a third of the distance that he had traveled while sleeping. for what part of the entire journey had he been asleep?
I think of it as a whole trip as 1
is d=1/5=1/3
d+d/5=1/3
6/5=1/3
5/6*1/3 ?
I am not coming up with the right answer i don't believe it is either 5/18 or 3/20 neither break down to a 1/5 or 1/3 for example. im lost and confused any help would be appreciated. Thanks Tammy

Click here to see answer by Alan3354(69443) About Me 
Question 1144711: While traveling to his grandmother's for Christmas. George fell asleep a fifth of the way through the journey. When he awoke he still had to travel a third of the distance that he had traveled while sleeping. for what part of the entire journey had he been asleep?
I think of it as a whole trip as 1
is d=1/5=1/3
d+d/5=1/3
6/5=1/3
5/6*1/3 ?
I am not coming up with the right answer i don't believe it is either 5/18 or 3/20 neither break down to a 1/5 or 1/3 for example. im lost and confused any help would be appreciated. Thanks Tammy

Click here to see answer by ikleyn(52785) About Me 
Question 1144711: While traveling to his grandmother's for Christmas. George fell asleep a fifth of the way through the journey. When he awoke he still had to travel a third of the distance that he had traveled while sleeping. for what part of the entire journey had he been asleep?
I think of it as a whole trip as 1
is d=1/5=1/3
d+d/5=1/3
6/5=1/3
5/6*1/3 ?
I am not coming up with the right answer i don't believe it is either 5/18 or 3/20 neither break down to a 1/5 or 1/3 for example. im lost and confused any help would be appreciated. Thanks Tammy

Click here to see answer by richwmiller(17219) About Me 

Question 1144943: Three cards are randomly selected from a deck of 52 cards. After every draw, the card is NOT replaced back in the deck. Find the probability of drawing a King, followed by an Ace, followed by a Queen.
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Question 1145308: A car with a standard transmission costs $15000 to purchase and 25 cents /km to drive. A car with an automatic transmission costs $17000 to purchase, but only 20 cents/km to drive. When is the cost to operate both vehicles the same? using substitution or elimination to solve, THanks
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Question 1145317:
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Question 1145315: Bob invested $24000. He invested part of it at 8% interest per year and the rest at 10% interest per year. His total interest income for the year is $2300. How much was invested at 10%?
Thanks

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Question 1145315: Bob invested $24000. He invested part of it at 8% interest per year and the rest at 10% interest per year. His total interest income for the year is $2300. How much was invested at 10%?
Thanks

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Question 1145321: Jane travels to her grandmothers house which is 270km by car. She travels at an average speed of 50km/ hour on good roads and an average speed of 20km/hour on roads under construction. If the total trip took 6 hours, find the time it took to travel on the roads under construction, using the substitution or elimination.
Thanks

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Question 1145314: At a restaurant the server earns $100/day and the cook earns $150 /day. However , of all the tips collected, the server receives 75% of the total and the cook receives 25%. What amount of tips must be collected so that cook and the server earn the daily pay?
Thank You

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Question 1145314: At a restaurant the server earns $100/day and the cook earns $150 /day. However , of all the tips collected, the server receives 75% of the total and the cook receives 25%. What amount of tips must be collected so that cook and the server earn the daily pay?
Thank You

Click here to see answer by ikleyn(52785) About Me 

Question 1145348: Heart Lake Developments sold four lakefront lots for ​$27 comma 500 per hectare. If the sizes of the lots in hectares were 5one half
​, 2four fifths
​, 2three fourths
​, and 4one third
​respectively, what was the total sales revenue for the four​ lots?

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Question 1145492: if the third of the three consecutive integers is increased by 14, it is equal to twice the first, find the integers
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Question 1145493: if the third of the three consecutive integers is increased by 14, it is equal to twice the first, find the integers
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Question 1145592: Denis has half as much points as Sherri. Sherri has 3 less points than Jamel. The total amount of points between all three of them is 68. How many points does Jamel have.

I know the answer but I need an equation to back my answer up.

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Question 1145646: The cost of x textbooks if one textbook costs $132.
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Question 1145644: The cost of textbooks if one textbook
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Question 1145645: The cost of a textbooks if one textbook
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Question 1145794: A, B and C can do a piece of work in 10 days. A and B can do it in 12 days, and A and C in 20 days. How many days would it take each to do the work place?
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Question 1145794: A, B and C can do a piece of work in 10 days. A and B can do it in 12 days, and A and C in 20 days. How many days would it take each to do the work place?
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