Algebra: Structure And Method, Book 1
(REV)00th Edition
ISBN:9780395977224
Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Chapter3: Solving Equation And Problems
Section3.8: Proof In Algebra
Problem 1ST
Related questions
Question
![For each of the following, set up either a system of equations in two variables or a quadratic equation and solve. (Round to two decimal places if necessary.)
Carpentry The perimeter of a rectangular door is 22 ft. Its length is 2 ft more than twice its width. Find the dimensions of the door.
Sheet Metal Trades The length of a rectangular piece of sheet steel is 2 in. longer than the width. Find the exact dimensions if the area of the sheet is 168 sq in
10. Landscaping The perimeter of a rectangular field is 750 ft. If the length is four times the width, find the dimensions of the field.
4.
8.
12. Painting A painter mixes paint worth $28 per gallon with paint worth $34 per gallon. He wishes to make 15 gal of a mixture worth $32 per gallon. How many gallons of each kind of paint
must be included in the mixture?
16.
18.
20.
Aviation The lift L (in pounds) on a certain type of airplane wing is given by the formula
L = 0.083v²
where v is the speed of the airflow over the wing (in feet per second). What air speed is required to provide a lift of 2500 lb? (Round to the nearest ten feet per second.)
Electronics For a certain temperature-sensitive electronic device, the voltage output V(in millivolts) is given by the formula
V = 3.1T
0.0147²
where T is the temperature (in degrees Celsius). What temperature is needed to produce a voltage of 150 mV?
Automotive Trades The fuel economy Fof a certain hybrid electric car at speeds between 50 mi/hr and 100 mi/hr is given by the formula
F = 0.005v² 1.25v +96
where Fis in miles per gallon and vis the speed in miles per hour. What speed will result in a fuel economy of 39 mi/gal?](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F8cd8c204-d1e8-4e49-9751-601d95aaf93f%2Fee3338f4-2d8b-4a2a-b5e8-72ed7ee88dd8%2F9xm9yz_processed.png&w=3840&q=75)
Transcribed Image Text:For each of the following, set up either a system of equations in two variables or a quadratic equation and solve. (Round to two decimal places if necessary.)
Carpentry The perimeter of a rectangular door is 22 ft. Its length is 2 ft more than twice its width. Find the dimensions of the door.
Sheet Metal Trades The length of a rectangular piece of sheet steel is 2 in. longer than the width. Find the exact dimensions if the area of the sheet is 168 sq in
10. Landscaping The perimeter of a rectangular field is 750 ft. If the length is four times the width, find the dimensions of the field.
4.
8.
12. Painting A painter mixes paint worth $28 per gallon with paint worth $34 per gallon. He wishes to make 15 gal of a mixture worth $32 per gallon. How many gallons of each kind of paint
must be included in the mixture?
16.
18.
20.
Aviation The lift L (in pounds) on a certain type of airplane wing is given by the formula
L = 0.083v²
where v is the speed of the airflow over the wing (in feet per second). What air speed is required to provide a lift of 2500 lb? (Round to the nearest ten feet per second.)
Electronics For a certain temperature-sensitive electronic device, the voltage output V(in millivolts) is given by the formula
V = 3.1T
0.0147²
where T is the temperature (in degrees Celsius). What temperature is needed to produce a voltage of 150 mV?
Automotive Trades The fuel economy Fof a certain hybrid electric car at speeds between 50 mi/hr and 100 mi/hr is given by the formula
F = 0.005v² 1.25v +96
where Fis in miles per gallon and vis the speed in miles per hour. What speed will result in a fuel economy of 39 mi/gal?
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