25. Rollerblading One day, you are rollerblading on a trail while it is windy. You travel along the trail, turn around and come back to your starting point. On your way out on the trail, you are rollerblading against the wind. On your return trip, which is the same distance, you are rollerblading with the wind. You can only travel 3 miles an hour against the wind, which is blowing at a constant speed. You travel 8 miles an hour with the wind. Use the models below to write and solve a system of equations to find the average speed when there is no wind and the speed of the wind. Against the wind: Your speed with no wind - Speed of wind = Your speed With the wind: Your speed with no wind + Speed of wind = Your speed

Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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Number 25 please!
Copyright by McDougal Littell, a division of Houghton Mifflin Company.
2x +y = 5
3y-15 x
2x + 3y 13
22. 6x - 3y = 36
23. -4x + y = -27
24. 9x - 4y = -55
5x = 3y + 30
-y + 6x = 43
3x = -4y - 21
25. Rollerblading One day, you are rollerblading on a trail while it is windy. You travel
along the trail, turn around and come back to your starting point. On your way out
on the trail, you are rollerblading against the wind. On your return trip, which is the
same distance, you are rollerblading with the wind. You can only travel 3 miles an
hour against the wind, which is blowing at a constant speed. You travel 8 miles an
hour with the wind. Use the models below to write and solve a system of equations
to find the average speed when there is no wind and the speed of the wind.
Against the wind: Your speed with no wind - Speed of wind = Your speed
With the wind: Your speed with no wind + Speed of wind = Your speed
26. Car Wash A gas station has a car wash. If you get your gas tank filled, then you are
charged a lower flat fee x in dollars for a car wash plus y dollars per gallon for the
gasoline. Two cars fill up with regular gasoline and both get a car wash. One car uses
8 gallons of gasoline and pays $22.80 for the gas and car wash and the other car uses
6 gallons of gasoline and pays $18.60 for the gas and car wash. Find the fee for the
car wash and the cost of one gallon of regular gasoline.
Transcribed Image Text:Copyright by McDougal Littell, a division of Houghton Mifflin Company. 2x +y = 5 3y-15 x 2x + 3y 13 22. 6x - 3y = 36 23. -4x + y = -27 24. 9x - 4y = -55 5x = 3y + 30 -y + 6x = 43 3x = -4y - 21 25. Rollerblading One day, you are rollerblading on a trail while it is windy. You travel along the trail, turn around and come back to your starting point. On your way out on the trail, you are rollerblading against the wind. On your return trip, which is the same distance, you are rollerblading with the wind. You can only travel 3 miles an hour against the wind, which is blowing at a constant speed. You travel 8 miles an hour with the wind. Use the models below to write and solve a system of equations to find the average speed when there is no wind and the speed of the wind. Against the wind: Your speed with no wind - Speed of wind = Your speed With the wind: Your speed with no wind + Speed of wind = Your speed 26. Car Wash A gas station has a car wash. If you get your gas tank filled, then you are charged a lower flat fee x in dollars for a car wash plus y dollars per gallon for the gasoline. Two cars fill up with regular gasoline and both get a car wash. One car uses 8 gallons of gasoline and pays $22.80 for the gas and car wash and the other car uses 6 gallons of gasoline and pays $18.60 for the gas and car wash. Find the fee for the car wash and the cost of one gallon of regular gasoline.
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