17. A commercial jetliner with an air speed of 640 mi/hr leaves Chicago and flies due west at the same time that a small single-engine plane with an air speed of 180 mi/hr leaves Chicago and flies due east. Determine the speed of a wind blowing from the west if the jetliner is 1500 mi west of Chicago when the single-engine plane is 550 mi east of Chicago. stoomboot can travel 60 mi down the Mississippi in the same time that it travels 24 mi up the river. If 19 A

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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I need help with 17. Algebra 2 third edition isbn: 978-1-64626-475-9 

less than the original number. What is the original number?
9. The sum of the digits of a two-digit number is 15. If the digits are reversed, the number formed is nine
formed when the digits are reversed is -63. What is the original number?
10. The units digit is eight times the tens digit of a two-digit number. The original number minus the number
B. Exercises
Write and solve a system of equations for each problem.
11. Mr. Johns invested in two businesses. Last year he gained 10% on the first investment and 12% on the
second. If he invested $1000 more in the first business and gained a total of $6040, how much money did
he invest in each business?
12. A man has $43,000 in an IRA mutual fund and $37,000 in a money market account that pays 5% less.
What is the rate of return for each account if his total annual interest income is $47507
13. The sum of the digits of a two-digit number and the number formed when the digits are reversed is 34.
The difference of the original number and the new number is 36. What is the original number?
14. The tens digit is six less than the units digit of a two-digit number. When the digits are reversed, the sum
of the original number and the new number is 132. What is the original number?
15. At noon Shawna left her home headed to Rochester, traveling at an average rate of 38 mi/hr. Her brother
Terrance left 2 hr later, traveling at an average rate of 43 mi/hr, and was 56 mi behind Shawna when she
arrived in Rochester. How far is it from their home to Rochester, and how long did it take for Shawna to
make the drive?
16. On Monday it took Mr. Jones 6 hr 48 min to fly his Cessna
172 from Houston to El Paso. His return trip on Tuesday took
only 4 hr 24 min since his ground speed was 60 mi/hr faster.
Determine his average speed for both trips and the distance
between the two airports.
www.prozcionats.com PH-MBV-
17. A commercial jetliner with an air speed of 640 mi/hr leaves Chicago and flies due west at the same
time that a small single-engine plane with an air speed of 180 mi/hr leaves Chicago and flies due east.
Determine the speed of a wind blowing from the west if the jetliner is 1500 mi west of Chicago when
the single-engine plane is 550 mi east of Chicago.
ON
18. A steamboat can travel 60 mi down the Mississippi in the same time that it travels 24 mi up the river. If
the current flows at 3 mi/hr, determine the speed of the boat in still water.
19. Fiona has fifty nickels and dimes whose total value is $3.40. How many of each kind of coin does she
have?
20. Mr. Knoll purchased a total of twenty-six pieces of lumber to build a small deck. The longer 1 × 6
boards cost $5.97 each, and the shorter 2 X 6 boards cost $4.97. If he spent a total of $149.22 (exc
tax), how many of each type did he buy?
21. A bronze alloy containing 8% zinc is mixed with another alloy containing 12% zinc to get 900 lt
bronze alloy containing 9.5% zinc. How much of each alloy is used?
2. Millville and Johnsburg are 235 mi apart. William leaves Millville and travels toward Johnsbu
same time Mary leaves Johnsburg and heads towards Millville along the same road. If Willia
8 mi/hr faster than Mary and it takes 2 hr for them to meet, how fast is each of them traveli
3. The Bunker Manufacturing Company wants to invest in two accounts. An account that pro
cash flow freedom pays 2.2% annual interest, while the other account pays 7.5% annual in
in the 2.2% account than in the other account and makes $27
Transcribed Image Text:less than the original number. What is the original number? 9. The sum of the digits of a two-digit number is 15. If the digits are reversed, the number formed is nine formed when the digits are reversed is -63. What is the original number? 10. The units digit is eight times the tens digit of a two-digit number. The original number minus the number B. Exercises Write and solve a system of equations for each problem. 11. Mr. Johns invested in two businesses. Last year he gained 10% on the first investment and 12% on the second. If he invested $1000 more in the first business and gained a total of $6040, how much money did he invest in each business? 12. A man has $43,000 in an IRA mutual fund and $37,000 in a money market account that pays 5% less. What is the rate of return for each account if his total annual interest income is $47507 13. The sum of the digits of a two-digit number and the number formed when the digits are reversed is 34. The difference of the original number and the new number is 36. What is the original number? 14. The tens digit is six less than the units digit of a two-digit number. When the digits are reversed, the sum of the original number and the new number is 132. What is the original number? 15. At noon Shawna left her home headed to Rochester, traveling at an average rate of 38 mi/hr. Her brother Terrance left 2 hr later, traveling at an average rate of 43 mi/hr, and was 56 mi behind Shawna when she arrived in Rochester. How far is it from their home to Rochester, and how long did it take for Shawna to make the drive? 16. On Monday it took Mr. Jones 6 hr 48 min to fly his Cessna 172 from Houston to El Paso. His return trip on Tuesday took only 4 hr 24 min since his ground speed was 60 mi/hr faster. Determine his average speed for both trips and the distance between the two airports. www.prozcionats.com PH-MBV- 17. A commercial jetliner with an air speed of 640 mi/hr leaves Chicago and flies due west at the same time that a small single-engine plane with an air speed of 180 mi/hr leaves Chicago and flies due east. Determine the speed of a wind blowing from the west if the jetliner is 1500 mi west of Chicago when the single-engine plane is 550 mi east of Chicago. ON 18. A steamboat can travel 60 mi down the Mississippi in the same time that it travels 24 mi up the river. If the current flows at 3 mi/hr, determine the speed of the boat in still water. 19. Fiona has fifty nickels and dimes whose total value is $3.40. How many of each kind of coin does she have? 20. Mr. Knoll purchased a total of twenty-six pieces of lumber to build a small deck. The longer 1 × 6 boards cost $5.97 each, and the shorter 2 X 6 boards cost $4.97. If he spent a total of $149.22 (exc tax), how many of each type did he buy? 21. A bronze alloy containing 8% zinc is mixed with another alloy containing 12% zinc to get 900 lt bronze alloy containing 9.5% zinc. How much of each alloy is used? 2. Millville and Johnsburg are 235 mi apart. William leaves Millville and travels toward Johnsbu same time Mary leaves Johnsburg and heads towards Millville along the same road. If Willia 8 mi/hr faster than Mary and it takes 2 hr for them to meet, how fast is each of them traveli 3. The Bunker Manufacturing Company wants to invest in two accounts. An account that pro cash flow freedom pays 2.2% annual interest, while the other account pays 7.5% annual in in the 2.2% account than in the other account and makes $27
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