Questions on Word Problems: Linear Equations And Systems Word Problems answered by real tutors!

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Question 152709: The speed of an airplane in still air is 250 km. The plane travels 632 km
against the wind and 1343 km with the wind in a total time of 15 hours. What is the speed of the wind?
Thank You. I have been at this problem for hours.
: The speed of an airplane in still air is 250 km. The plane travels 632 km
against the wind and 1343 km with the wind in a total time of 15 hours. What is the speed of the wind?
Thank You. I have been at this problem for hours.

Click here to see answer by ankor@dixie-net.com(3856) About Me 

Question 152558: A rental car costs $25 plus a fixed charge per mile driven. The total charge for 320 miles of use was $89. Write an equation for the cost, C(in dollars), in terms of the miles driven ,x.: A rental car costs $25 plus a fixed charge per mile driven. The total charge for 320 miles of use was $89. Write an equation for the cost, C(in dollars), in terms of the miles driven ,x.
Click here to see answer by jojo14344(282) About Me 

Question 152592: Yesterday there were 5 times as many girls as boys in Miss Miriam's preschool. Today 4 more boys joined the preschool. Now there are 3 times as many girls as boys. How many children are now attending the preschool?
So far I know that if you let "b" equal boys and "g" equal girls the first equation is 5b=g. I also know that I am looking for "x" the total amount of children in the school or b+g=x. I am not sure where the 4 additional boys come in or how to make the equations equal so that I can solve them. I really would appreciate your help!
: Yesterday there were 5 times as many girls as boys in Miss Miriam's preschool. Today 4 more boys joined the preschool. Now there are 3 times as many girls as boys. How many children are now attending the preschool?
So far I know that if you let "b" equal boys and "g" equal girls the first equation is 5b=g. I also know that I am looking for "x" the total amount of children in the school or b+g=x. I am not sure where the 4 additional boys come in or how to make the equations equal so that I can solve them. I really would appreciate your help!

Click here to see answer by Earlsdon(3417) About Me 

Question 152461: After operating for 40 minutes, a small pump has removed 60 gallons of water from a 6000-gallon swimming pool. There is a linear relationship between the gallons of water V remaining in the pool and the pumping time t in minutes. Find the equation for this relationship. : After operating for 40 minutes, a small pump has removed 60 gallons of water from a 6000-gallon swimming pool. There is a linear relationship between the gallons of water V remaining in the pool and the pumping time t in minutes. Find the equation for this relationship.
Click here to see answer by ankor@dixie-net.com(3856) About Me 

Question 152460: A shipping box measures 14 1/2 inches long by 9 1/8 inches wide by 8 11/16 inches high. What is the volume of the box in cubic feet? Round to the nearest hundredth of a cubic foot.: A shipping box measures 14 1/2 inches long by 9 1/8 inches wide by 8 11/16 inches high. What is the volume of the box in cubic feet? Round to the nearest hundredth of a cubic foot.
Click here to see answer by Edwin McCravy(1746) About Me 

Question 152339: If 4 apples and 2 oranges equals $1 and 2 apples and 3 orange equals $0.70, how much does each apple and each orange cost? There are no quantity discounts.: If 4 apples and 2 oranges equals $1 and 2 apples and 3 orange equals $0.70, how much does each apple and each orange cost? There are no quantity discounts.
Click here to see answer by jojo14344(282) About Me 

Question 152283: A rental car agency charges $19 per day plus 11 cents per mile to rent a certain car. Another agency charges $25 per day plus 5 cents per mile to rent the same car. How many miles per day will have to be driven for the cost of a car from the first agency to equal the cost of a car from the second agency?: A rental car agency charges $19 per day plus 11 cents per mile to rent a certain car. Another agency charges $25 per day plus 5 cents per mile to rent the same car. How many miles per day will have to be driven for the cost of a car from the first agency to equal the cost of a car from the second agency?
Click here to see answer by ankor@dixie-net.com(3856) About Me 

Question 152282: A rug placed in a 10 ft x 12 ft room covers two-thirds of the floor area and leaves a uniform strip of bare floor around teh edges. Find the dimensions of the rug.
I dont need the answer, just the step-by-step process.
: A rug placed in a 10 ft x 12 ft room covers two-thirds of the floor area and leaves a uniform strip of bare floor around teh edges. Find the dimensions of the rug.
I dont need the answer, just the step-by-step process.

Click here to see answer by nerdybill(387) About Me 

Question 151797: Explain how A(a,b) and B(b,a) may be in different quadrants.: Explain how A(a,b) and B(b,a) may be in different quadrants.
Click here to see answer by vleith(924) About Me 

Question 151783: Three chemical reactions each produce oxygen. If the first produces twice that of the second, the third produces twice that of the first, and the combined total is 560 cm^3, what volume is produced by each?: Three chemical reactions each produce oxygen. If the first produces twice that of the second, the third produces twice that of the first, and the combined total is 560 cm^3, what volume is produced by each?
Click here to see answer by jojo14344(282) About Me 

Question 151786: One grade of oil has 0.50% of an additive, and a higher grade has 0.75% of the additive. How many liters of each must be used to have 1000L of a mixture with 0.65% of the additive?: One grade of oil has 0.50% of an additive, and a higher grade has 0.75% of the additive. How many liters of each must be used to have 1000L of a mixture with 0.65% of the additive?
Click here to see answer by checkley77(1458) About Me 

Question 151676: five times the diffrence of a number and one yields the same result as twice the same number increase by three: five times the diffrence of a number and one yields the same result as twice the same number increase by three
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Question 151574: The length of the longest side of a triangle is twice the length of the shortest side. The length of the middle-sized side is five more than the length of the shortest side. Find the lengths of the sides of the triangle if the perimeter is 33 feet. Draw and label a picture representing this solution.: The length of the longest side of a triangle is twice the length of the shortest side. The length of the middle-sized side is five more than the length of the shortest side. Find the lengths of the sides of the triangle if the perimeter is 33 feet. Draw and label a picture representing this solution.
Click here to see answer by checkley77(1458) About Me 

Question 151393: Could you please help me with this word problem?
Last year you could get a hamburger, fries and a cola at Fransisco's Drive-In for $2.90. Since the price of a hamburger has increased %10, the price of fries has increased %30 and the price of cola has increased %40, the same meal costs $3.67. If the price of cola is now 13 cents more than that of a hamburger, what was the price of each item last year?
: Could you please help me with this word problem?
Last year you could get a hamburger, fries and a cola at Fransisco's Drive-In for $2.90. Since the price of a hamburger has increased %10, the price of fries has increased %30 and the price of cola has increased %40, the same meal costs $3.67. If the price of cola is now 13 cents more than that of a hamburger, what was the price of each item last year?

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Question 150872: 4. You and a friend are hiking in the mountains. You want to climb to a ledge that is 20 ft. above you.
The height of the grappling hook you throw is given by the function ( ) 16 32 5 2
h t −t −t . What is the
maximum height of the grappling hook? Can you throw it high enough to reach the ledge?
5. You are trying to dunk a basketball. You need to jump 2.5 ft. in the air to dunk the ball. The height
that your feet are above the ground is given by the function h(t) 16t 12t 2
−. What is the maximum
height your feet will be above the ground? Will you be able to dunk the basketball?
6. A diver is standing on a platform 24 ft. above the pool. He jumps form the platform with an initi8al
upward velocity of 8 ft/s. Use the formula h t −t vt s
2 ( ) 16 , where h is his height above the water, t
is the time, v is his starting upward velocity, and s is his starting height. How long will it take for him
to hit the water?
7. A ball is thrown upward from a height of 15 ft. with an initial upward velocity of 5 ft/s. Use the
formula h t −t vt s
2 ( ) 16 to find how long it will take for the ball to hit the ground.
: 4. You and a friend are hiking in the mountains. You want to climb to a ledge that is 20 ft. above you.
The height of the grappling hook you throw is given by the function ( ) 16 32 5 2
h t −t −t . What is the
maximum height of the grappling hook? Can you throw it high enough to reach the ledge?
5. You are trying to dunk a basketball. You need to jump 2.5 ft. in the air to dunk the ball. The height
that your feet are above the ground is given by the function h(t) 16t 12t 2
−. What is the maximum
height your feet will be above the ground? Will you be able to dunk the basketball?
6. A diver is standing on a platform 24 ft. above the pool. He jumps form the platform with an initi8al
upward velocity of 8 ft/s. Use the formula h t −t vt s
2 ( ) 16 , where h is his height above the water, t
is the time, v is his starting upward velocity, and s is his starting height. How long will it take for him
to hit the water?
7. A ball is thrown upward from a height of 15 ft. with an initial upward velocity of 5 ft/s. Use the
formula h t −t vt s
2 ( ) 16 to find how long it will take for the ball to hit the ground.

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Question 150833: Systems of Equations and Inequalities
i) Problem: The students from algebra class go for coffee together every day at 9:00 AM. On Monday, Jordan paid $5.45 for three cartons of milk, four cups of coffee, and seven doughnuts. On Tuesday, Ryan paid $5.30 for four milks, two coffees, and eight doughnuts. On Wednesday, Zack paid $5.15 for two milks, five coffees, and six doughnuts.
(1) Set up a system of equations to model this scenario.
(2) Determine the cost of one carton milk, one coffee, and one doughnut by solving the system.
(3) If on Thursday, Taylor had to pay for five milks, two coffees and nine doughnuts, then how much did he spend?
(4) Explain the problem and the steps to solve this problem


: Systems of Equations and Inequalities
i) Problem: The students from algebra class go for coffee together every day at 9:00 AM. On Monday, Jordan paid $5.45 for three cartons of milk, four cups of coffee, and seven doughnuts. On Tuesday, Ryan paid $5.30 for four milks, two coffees, and eight doughnuts. On Wednesday, Zack paid $5.15 for two milks, five coffees, and six doughnuts.
(1) Set up a system of equations to model this scenario.
(2) Determine the cost of one carton milk, one coffee, and one doughnut by solving the system.
(3) If on Thursday, Taylor had to pay for five milks, two coffees and nine doughnuts, then how much did he spend?
(4) Explain the problem and the steps to solve this problem



Click here to see answer by stanbon(17617) About Me 

Question 150668: In 1995 the life expectancy of a male in a certain country was 62.6 years In 2001 it was 64.9 years Let E represent the life expectancy in year t and let t represent the number of years since 1995
The linear function E(t) that fits the data is
E(t)= t +
(round to the nearest tenth)
Use the function to predict the life expectancy of males in 2005
E(14)=
(round to the nearest tenth)
: In 1995 the life expectancy of a male in a certain country was 62.6 years In 2001 it was 64.9 years Let E represent the life expectancy in year t and let t represent the number of years since 1995
The linear function E(t) that fits the data is
E(t)= t +
(round to the nearest tenth)
Use the function to predict the life expectancy of males in 2005
E(14)=
(round to the nearest tenth)

Click here to see answer by stanbon(17617) About Me 

Question 150415: I need to find the equation for this regression line
x 12 14 10 9 15 8
--------------------
y 29 35 28 23 36 18
Please help
: I need to find the equation for this regression line
x 12 14 10 9 15 8
--------------------
y 29 35 28 23 36 18
Please help

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Question 150176: A large industrial plant produces one ton of concrete every 0.92 minutes. At what rate is the facility producing concrete in tons per hour? Round to the nearest thousandth of a ton per hour. : A large industrial plant produces one ton of concrete every 0.92 minutes. At what rate is the facility producing concrete in tons per hour? Round to the nearest thousandth of a ton per hour.
Click here to see answer by nerdybill(387) About Me 

Question 150177: The cost in dollars of a cab ride in Metro City can be calculated using the expression 6.30 + 3.05d where d is the distance in miles. If a customer travels 6.2 miles, what is the amount of his fare? : The cost in dollars of a cab ride in Metro City can be calculated using the expression 6.30 + 3.05d where d is the distance in miles. If a customer travels 6.2 miles, what is the amount of his fare?
Click here to see answer by checkley77(1458) About Me 

Question 149849: 33.) A rental car agency charges $13 per day plus 8 cents per mile to rent a certain car. Another agency charges $16 per day plus 6 cents per mile to rent the same car. How many miles per day will have to be driven for the cost of a car from the first agency to equal the cot of a car from the second agency?
I need help figuring which one is my answer and how to set up the equatioin:
[A] 145 miles per day
[B] 1500 miles per day
[C] 150 miles per day
[D] 1450 miles per day
: 33.) A rental car agency charges $13 per day plus 8 cents per mile to rent a certain car. Another agency charges $16 per day plus 6 cents per mile to rent the same car. How many miles per day will have to be driven for the cost of a car from the first agency to equal the cot of a car from the second agency?
I need help figuring which one is my answer and how to set up the equatioin:
[A] 145 miles per day
[B] 1500 miles per day
[C] 150 miles per day
[D] 1450 miles per day

Click here to see answer by nerdybill(387) About Me 

Question 149827This question is from textbook
: I need a little help with these 2 problems in putting them in rational form.
-3(x + 5)+3=12 and 2/3x + 1/6x=2
This question is from textbook
: I need a little help with these 2 problems in putting them in rational form.
-3(x + 5)+3=12 and 2/3x + 1/6x=2

Click here to see answer by Alan3354(461) About Me 

Question 149828This question is from textbook
: Can you please help with this 3 part problem. The first part is to solve 3x+4y=8 for y The second part is when graphed this equation would be a line. By examining your answer to part a, what is the slope and y-intercept of this line? The third part is using your answer from part a, find the corresponding value of y when x =8This question is from textbook
: Can you please help with this 3 part problem. The first part is to solve 3x+4y=8 for y The second part is when graphed this equation would be a line. By examining your answer to part a, what is the slope and y-intercept of this line? The third part is using your answer from part a, find the corresponding value of y when x =8
Click here to see answer by Alan3354(461) About Me 

Question 149743: The probability that San Francisco plays in the next Super Bowl is nine times the probability that they do not play in the next Super Bowl. The probability that San Francisco plays in the next Super Bowl plus the probability that they do not play is 1. What is the probability that San Francisco plays in the next Super Bowl?: The probability that San Francisco plays in the next Super Bowl is nine times the probability that they do not play in the next Super Bowl. The probability that San Francisco plays in the next Super Bowl plus the probability that they do not play is 1. What is the probability that San Francisco plays in the next Super Bowl?
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Question 149742: Ziggy's Famous Yogurt blends regular yogurt that is 3% fat with its no-fat yogurt to obtain low fat yogurt that is 1% fat. How many pounds of regular yogurt and how many pounds of no-fat yogurt should be mixed to obtain 60 pounds of low-fat yogurt?: Ziggy's Famous Yogurt blends regular yogurt that is 3% fat with its no-fat yogurt to obtain low fat yogurt that is 1% fat. How many pounds of regular yogurt and how many pounds of no-fat yogurt should be mixed to obtain 60 pounds of low-fat yogurt?
Click here to see answer by josmiceli(1827) About Me 

Question 149530: need assistance please..
a road side stand bought 11 large baskets of eggs from a farmer and sold 39 small baskets of eggs, which hold fewer than a dozen. there were 19 eggs left over. how many eggs does a large basket hold?
: need assistance please..
a road side stand bought 11 large baskets of eggs from a farmer and sold 39 small baskets of eggs, which hold fewer than a dozen. there were 19 eggs left over. how many eggs does a large basket hold?

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Question 149574: A and B working together can do a job in 24 hours. After A worked alone for 7 hours, B joined him and together they finished the rest of the job in 20 hours. How long would it take each working alone to do the job?: A and B working together can do a job in 24 hours. After A worked alone for 7 hours, B joined him and together they finished the rest of the job in 20 hours. How long would it take each working alone to do the job?
Click here to see answer by ankor@dixie-net.com(3856) About Me 

Question 149571: Tickets to a movie were sold at $4.00 per adult and $2.50 per student. If 240 tickets were sold for a total of $765.00, how many student tickets were sold?: Tickets to a movie were sold at $4.00 per adult and $2.50 per student. If 240 tickets were sold for a total of $765.00, how many student tickets were sold?
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Question 149572: Audrey has 28 dimes and quarters in her piggy bank with a total value of $4.75. How many of the coins are dimes and how many are quarters?: Audrey has 28 dimes and quarters in her piggy bank with a total value of $4.75. How many of the coins are dimes and how many are quarters?
Click here to see answer by Fombitz(1174) About Me 

Question 149531: farmer Jones owes farmer brown 10 dollars. neither has any cash, but Jones has 14 cows, which he values at 185 dollars each. he suggests paying his debt in cows, with brown making change by giving Jones some of his pigs at 110 dollars each. is this possible? how?: farmer Jones owes farmer brown 10 dollars. neither has any cash, but Jones has 14 cows, which he values at 185 dollars each. he suggests paying his debt in cows, with brown making change by giving Jones some of his pigs at 110 dollars each. is this possible? how?
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Question 149483: A nursary has a 2ft. plant that will grow 3ft. every year, and a 4ft. plant will grow 1ft. every year, how long will it for the plants to be the same height? How tall will they be?: A nursary has a 2ft. plant that will grow 3ft. every year, and a 4ft. plant will grow 1ft. every year, how long will it for the plants to be the same height? How tall will they be?
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Question 149344: The length of a rectangular swimming pool is twice its width. The pool is surrounded by a cement walk 4 feet wide. If the area of the walk is 748 feet^2, determine the dimensions of the pool.: The length of a rectangular swimming pool is twice its width. The pool is surrounded by a cement walk 4 feet wide. If the area of the walk is 748 feet^2, determine the dimensions of the pool.
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Question 149328: 15x+7=31+3x
: 15x+7=31+3x

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Question 149284: Find the slope of the line that contains the points (2.346, –0.215) and (4.492, –3.322). Round to the nearest thousandth. Match your result to the correct answer below.
A) –0.517
B) 0.517
C) –1.448
D) 1.448
: Find the slope of the line that contains the points (2.346, –0.215) and (4.492, –3.322). Round to the nearest thousandth. Match your result to the correct answer below.
A) –0.517
B) 0.517
C) –1.448
D) 1.448

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Question 149208: An express and local train leave Gray's Lake at 3PM and head for Chicago 50 miles away. The express travels twice as fast as the local and arrive 1 hour ahead of it. Find the speed of each train.: An express and local train leave Gray's Lake at 3PM and head for Chicago 50 miles away. The express travels twice as fast as the local and arrive 1 hour ahead of it. Find the speed of each train.
Click here to see answer by mangopeeler07(401) About Me 

Question 149209: Walt made an extra $9000 last year from a part-time job. He invested part of the money at 9% and the rest at 8%. He made a total of $770 in interest. How much was invested at 8%? Please show all work....: Walt made an extra $9000 last year from a part-time job. He invested part of the money at 9% and the rest at 8%. He made a total of $770 in interest. How much was invested at 8%? Please show all work....
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Question 149206: Joe has a collection of nickels and dimes tha is worth$5.65. If the number of dimes were doubled and the number of nickels were increased by 8, the value of the coins would be $10.45. How may dimes does he have? Please show all work...
So far all I can come up with is x =dimes, y= nickels.
x(2), y+8 =$10.45
: Joe has a collection of nickels and dimes tha is worth$5.65. If the number of dimes were doubled and the number of nickels were increased by 8, the value of the coins would be $10.45. How may dimes does he have? Please show all work...
So far all I can come up with is x =dimes, y= nickels.
x(2), y+8 =$10.45

Click here to see answer by nerdybill(387) About Me 

Question 149185This question is from textbook
: hi, i need exactly step by step solution, thanks
If the numerator and the denominator of a fraction are increased by 3,the resulting fractions is 3/4.But if the terms of the fractions are decreased by 2,the new fraction is 1/3. Find the original faction?
This question is from textbook
: hi, i need exactly step by step solution, thanks
If the numerator and the denominator of a fraction are increased by 3,the resulting fractions is 3/4.But if the terms of the fractions are decreased by 2,the new fraction is 1/3. Find the original faction?

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Question 149183This question is from textbook
: Hi i need exactly step by step solution in this word problem,and check it.thanks
If the numerator and the denominator of a fraction are increased by 3,the resulting fractions is 3/4.But if the terms of the fractions are decreased by 2,the new fractions is 1/3.Find original fraction.
This question is from textbook
: Hi i need exactly step by step solution in this word problem,and check it.thanks
If the numerator and the denominator of a fraction are increased by 3,the resulting fractions is 3/4.But if the terms of the fractions are decreased by 2,the new fractions is 1/3.Find original fraction.

Click here to see answer by 24HoursTutor.com(40) About Me 
Question 149183This question is from textbook
: Hi i need exactly step by step solution in this word problem,and check it.thanks
If the numerator and the denominator of a fraction are increased by 3,the resulting fractions is 3/4.But if the terms of the fractions are decreased by 2,the new fractions is 1/3.Find original fraction.
This question is from textbook
: Hi i need exactly step by step solution in this word problem,and check it.thanks
If the numerator and the denominator of a fraction are increased by 3,the resulting fractions is 3/4.But if the terms of the fractions are decreased by 2,the new fractions is 1/3.Find original fraction.

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Question 149179: Hockey teams receive 2 points for a win and 1 point for a tie. The wild cats once one a championship with 60 points. They won 9 more games than they tied. How many wins and how many ties did the Wildcats have? I thought I set this problem up correctly but it didnt work out right??: Hockey teams receive 2 points for a win and 1 point for a tie. The wild cats once one a championship with 60 points. They won 9 more games than they tied. How many wins and how many ties did the Wildcats have? I thought I set this problem up correctly but it didnt work out right??
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Question 149182This question is from textbook
: Hi i need exactly step by step solution in this word problem,and check it.thanks
The sum of the digits of the two-digits number is 3.The tens digits is one more than the unit digit.Find the numbers.
This question is from textbook
: Hi i need exactly step by step solution in this word problem,and check it.thanks
The sum of the digits of the two-digits number is 3.The tens digits is one more than the unit digit.Find the numbers.

Click here to see answer by josmiceli(1827) About Me 
Question 149182This question is from textbook
: Hi i need exactly step by step solution in this word problem,and check it.thanks
The sum of the digits of the two-digits number is 3.The tens digits is one more than the unit digit.Find the numbers.
This question is from textbook
: Hi i need exactly step by step solution in this word problem,and check it.thanks
The sum of the digits of the two-digits number is 3.The tens digits is one more than the unit digit.Find the numbers.

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Question 149174This question is from textbook
: hi, i need exactly step by step solution in this word problem.thanks

Five times the difference of two numbers is 6 less than twice their sum.Twice the first number added to one.third of the second number is 11.Find the numbers.
This question is from textbook
: hi, i need exactly step by step solution in this word problem.thanks

Five times the difference of two numbers is 6 less than twice their sum.Twice the first number added to one.third of the second number is 11.Find the numbers.

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Question 149086: Write an equation of the Line 1 passing through (3,-4) that is parallel to the Line II 5x-3y-9=0. Does the line I pass through the point (6,7)? Does the line II pass through the point (6,7)?
: Write an equation of the Line 1 passing through (3,-4) that is parallel to the Line II 5x-3y-9=0. Does the line I pass through the point (6,7)? Does the line II pass through the point (6,7)?

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