Algebra and Trigonometry: Structure and Method, Book 2
Algebra and Trigonometry: Structure and Method, Book 2
2000th Edition
ISBN: 9780395977255
Author: MCDOUGAL LITTEL
Publisher: McDougal Littell
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Chapter 9.9, Problem 4P
To determine

To calculate:

Value of unknown masses if the known one are 9g,15g,27g .

Expert Solution & Answer
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Answer to Problem 4P

Value of unknown masses if the known one are 9g,15g,27g is 21g .

Explanation of Solution

Given information:

Chemist has three sample of unknown mass and each pair is balance against third sample and one of three known masses.

Calculation:

Let, x,y,z= three unknown masses.

Take two unknown masses and balance it with 3rd unknown plus one of the known masses.

There are 3 such combinations,

  x+y=z+9...(i)x+z=y+15...(ii)y+z=x+27...(iii)

Solve the equation for 1

  z : z=x+y9

Substitute into eq. 2 and 3 ,

  x+(x+y9)=y+152x=24x=12y+(x+y9)=x+272y=6y=18

Now, substitute to find z ,

  z=(12)+(18)9z=21

Thus, Value of unknown masses if the known one are 9g,15g,27g is 21g .

Chapter 9 Solutions

Algebra and Trigonometry: Structure and Method, Book 2

Ch. 9.1 - Prob. 11OECh. 9.1 - Prob. 12OECh. 9.1 - Prob. 13OECh. 9.1 - Prob. 14OECh. 9.1 - Prob. 15OECh. 9.1 - Prob. 1WECh. 9.1 - Prob. 2WECh. 9.1 - Prob. 3WECh. 9.1 - Prob. 4WECh. 9.1 - Prob. 5WECh. 9.1 - Prob. 6WECh. 9.1 - Prob. 7WECh. 9.1 - Prob. 8WECh. 9.1 - Prob. 9WECh. 9.1 - Prob. 10WECh. 9.1 - Prob. 11WECh. 9.1 - Prob. 12WECh. 9.1 - Prob. 13WECh. 9.1 - Prob. 14WECh. 9.1 - Prob. 15WECh. 9.1 - Prob. 16WECh. 9.1 - Prob. 17WECh. 9.1 - Prob. 18WECh. 9.1 - Prob. 19WECh. 9.1 - Prob. 20WECh. 9.1 - Prob. 21WECh. 9.1 - Prob. 22WECh. 9.1 - Prob. 23WECh. 9.1 - Prob. 24WECh. 9.1 - Prob. 25WECh. 9.1 - Prob. 26WECh. 9.1 - Prob. 27WECh. 9.1 - Prob. 28WECh. 9.1 - Prob. 29WECh. 9.1 - Prob. 30WECh. 9.1 - Prob. 31WECh. 9.1 - Prob. 32WECh. 9.1 - Prob. 1PCh. 9.1 - Prob. 2PCh. 9.1 - Prob. 3PCh. 9.1 - Prob. 4PCh. 9.1 - Prob. 5PCh. 9.1 - Prob. 6PCh. 9.1 - Prob. 7PCh. 9.1 - Prob. 8PCh. 9.1 - Prob. 9PCh. 9.1 - Prob. 10PCh. 9.1 - Prob. 11PCh. 9.1 - Prob. 12PCh. 9.1 - Prob. 13PCh. 9.1 - Prob. 14PCh. 9.1 - Prob. 1MRECh. 9.1 - Prob. 2MRECh. 9.1 - Prob. 3MRECh. 9.1 - Prob. 4MRECh. 9.1 - Prob. 5MRECh. 9.1 - Prob. 6MRECh. 9.1 - Prob. 1CECh. 9.1 - Prob. 2CECh. 9.1 - Prob. 3CECh. 9.1 - Prob. 4CECh. 9.2 - Prob. 1OECh. 9.2 - Prob. 2OECh. 9.2 - Prob. 3OECh. 9.2 - Prob. 4OECh. 9.2 - Prob. 5OECh. 9.2 - Prob. 6OECh. 9.2 - Prob. 7OECh. 9.2 - Prob. 8OECh. 9.2 - Prob. 9OECh. 9.2 - Prob. 10OECh. 9.2 - Prob. 11OECh. 9.2 - Prob. 12OECh. 9.2 - Prob. 13OECh. 9.2 - Prob. 14OECh. 9.2 - Prob. 15OECh. 9.2 - Prob. 1WECh. 9.2 - Prob. 2WECh. 9.2 - Prob. 3WECh. 9.2 - Prob. 4WECh. 9.2 - Prob. 5WECh. 9.2 - Prob. 6WECh. 9.2 - Prob. 7WECh. 9.2 - Prob. 8WECh. 9.2 - Prob. 9WECh. 9.2 - Prob. 10WECh. 9.2 - Prob. 11WECh. 9.2 - Prob. 12WECh. 9.2 - Prob. 13WECh. 9.2 - Prob. 14WECh. 9.2 - Prob. 15WECh. 9.2 - Prob. 16WECh. 9.2 - Prob. 17WECh. 9.2 - Prob. 18WECh. 9.2 - Prob. 19WECh. 9.2 - Prob. 20WECh. 9.2 - Prob. 21WECh. 9.2 - Prob. 22WECh. 9.2 - Prob. 23WECh. 9.2 - Prob. 24WECh. 9.2 - Prob. 25WECh. 9.2 - Prob. 26WECh. 9.2 - Prob. 27WECh. 9.2 - Prob. 28WECh. 9.2 - Prob. 29WECh. 9.2 - Prob. 30WECh. 9.2 - Prob. 31WECh. 9.2 - Prob. 32WECh. 9.2 - Prob. 33WECh. 9.2 - Prob. 34WECh. 9.2 - Prob. 35WECh. 9.2 - Prob. 36WECh. 9.2 - Prob. 37WECh. 9.2 - Prob. 38WECh. 9.2 - Prob. 39WECh. 9.2 - Prob. 40WECh. 9.2 - Prob. 41WECh. 9.2 - Prob. 42WECh. 9.2 - Prob. 43WECh. 9.2 - Prob. 44WECh. 9.2 - Prob. 45WECh. 9.2 - Prob. 46WECh. 9.2 - Prob. 47WECh. 9.2 - Prob. 48WECh. 9.2 - Prob. 49WECh. 9.2 - Prob. 50WECh. 9.3 - Prob. 1OECh. 9.3 - Prob. 2OECh. 9.3 - Prob. 3OECh. 9.3 - Prob. 4OECh. 9.3 - Prob. 5OECh. 9.3 - Prob. 6OECh. 9.3 - Prob. 7OECh. 9.3 - Prob. 8OECh. 9.3 - Prob. 9OECh. 9.3 - Prob. 10OECh. 9.3 - Prob. 11OECh. 9.3 - Prob. 12OECh. 9.3 - Prob. 1WECh. 9.3 - Prob. 2WECh. 9.3 - Prob. 3WECh. 9.3 - Prob. 4WECh. 9.3 - Prob. 5WECh. 9.3 - Prob. 6WECh. 9.3 - Prob. 7WECh. 9.3 - Prob. 8WECh. 9.3 - Prob. 9WECh. 9.3 - Prob. 10WECh. 9.3 - Prob. 11WECh. 9.3 - Prob. 12WECh. 9.3 - Prob. 13WECh. 9.3 - Prob. 14WECh. 9.3 - Prob. 15WECh. 9.3 - Prob. 16WECh. 9.3 - Prob. 17WECh. 9.3 - Prob. 18WECh. 9.3 - Prob. 19WECh. 9.3 - Prob. 20WECh. 9.3 - Prob. 21WECh. 9.3 - Prob. 22WECh. 9.3 - Prob. 23WECh. 9.3 - Prob. 24WECh. 9.3 - Prob. 25WECh. 9.3 - Prob. 26WECh. 9.3 - Prob. 27WECh. 9.3 - Prob. 28WECh. 9.3 - Prob. 29WECh. 9.3 - Prob. 30WECh. 9.3 - Prob. 31WECh. 9.3 - Prob. 32WECh. 9.3 - Prob. 33WECh. 9.3 - Prob. 34WECh. 9.3 - Prob. 35WECh. 9.3 - Prob. 36WECh. 9.3 - Prob. 37WECh. 9.3 - Prob. 38WECh. 9.3 - Prob. 1MRECh. 9.3 - Prob. 2MRECh. 9.3 - Prob. 3MRECh. 9.3 - Prob. 4MRECh. 9.3 - Prob. 5MRECh. 9.3 - Prob. 6MRECh. 9.3 - Prob. 1STCh. 9.3 - Prob. 2STCh. 9.3 - Prob. 3STCh. 9.3 - Prob. 4STCh. 9.3 - Prob. 5STCh. 9.3 - Prob. 6STCh. 9.3 - Prob. 7STCh. 9.3 - Prob. 8STCh. 9.4 - Prob. 1OECh. 9.4 - Prob. 2OECh. 9.4 - Prob. 3OECh. 9.4 - Prob. 4OECh. 9.4 - Prob. 5OECh. 9.4 - Prob. 6OECh. 9.4 - Prob. 1WECh. 9.4 - Prob. 2WECh. 9.4 - Prob. 3WECh. 9.4 - Prob. 4WECh. 9.4 - Prob. 5WECh. 9.4 - Prob. 6WECh. 9.4 - Prob. 7WECh. 9.4 - Prob. 8WECh. 9.4 - Prob. 9WECh. 9.4 - Prob. 10WECh. 9.4 - Prob. 11WECh. 9.4 - 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Prob. 15WECh. 9.5 - Prob. 16WECh. 9.5 - Prob. 17WECh. 9.5 - Prob. 18WECh. 9.5 - Prob. 19WECh. 9.5 - Prob. 20WECh. 9.5 - Prob. 21WECh. 9.5 - Prob. 22WECh. 9.5 - Prob. 23WECh. 9.5 - Prob. 24WECh. 9.5 - Prob. 25WECh. 9.5 - Prob. 26WECh. 9.5 - Prob. 27WECh. 9.5 - Prob. 28WECh. 9.5 - Prob. 29WECh. 9.5 - Prob. 30WECh. 9.5 - Prob. 31WECh. 9.5 - Prob. 32WECh. 9.5 - Prob. 33WECh. 9.5 - Prob. 34WECh. 9.5 - Prob. 35WECh. 9.5 - Prob. 1MRECh. 9.5 - Prob. 2MRECh. 9.5 - Prob. 3MRECh. 9.5 - Prob. 4MRECh. 9.5 - Prob. 5MRECh. 9.5 - Prob. 6MRECh. 9.5 - Prob. 7MRECh. 9.5 - Prob. 8MRECh. 9.5 - Prob. 9MRECh. 9.5 - Prob. 10MRECh. 9.6 - Prob. 1OECh. 9.6 - Prob. 2OECh. 9.6 - Prob. 3OECh. 9.6 - Prob. 4OECh. 9.6 - Prob. 5OECh. 9.6 - Prob. 6OECh. 9.6 - Prob. 7OECh. 9.6 - Prob. 8OECh. 9.6 - Prob. 9OECh. 9.6 - Prob. 10OECh. 9.6 - Prob. 11OECh. 9.6 - Prob. 12OECh. 9.6 - Prob. 13OECh. 9.6 - Prob. 14OECh. 9.6 - Prob. 1WECh. 9.6 - Prob. 2WECh. 9.6 - Prob. 3WECh. 9.6 - Prob. 4WECh. 9.6 - Prob. 5WECh. 9.6 - Prob. 6WECh. 9.6 - Prob. 7WECh. 9.6 - Prob. 8WECh. 9.6 - Prob. 9WECh. 9.6 - Prob. 10WECh. 9.6 - Prob. 11WECh. 9.6 - Prob. 12WECh. 9.6 - Prob. 13WECh. 9.6 - Prob. 14WECh. 9.6 - Prob. 15WECh. 9.6 - Prob. 16WECh. 9.6 - Prob. 17WECh. 9.6 - Prob. 18WECh. 9.6 - Prob. 19WECh. 9.6 - Prob. 20WECh. 9.6 - Prob. 21WECh. 9.6 - Prob. 1STCh. 9.6 - Prob. 2STCh. 9.6 - Prob. 3STCh. 9.6 - Prob. 4STCh. 9.6 - Prob. 5STCh. 9.6 - Prob. 6STCh. 9.7 - Prob. 1OECh. 9.7 - Prob. 2OECh. 9.7 - Prob. 3OECh. 9.7 - Prob. 4OECh. 9.7 - Prob. 5OECh. 9.7 - Prob. 6OECh. 9.7 - Prob. 7OECh. 9.7 - Prob. 8OECh. 9.7 - Prob. 9OECh. 9.7 - Prob. 10OECh. 9.7 - Prob. 11OECh. 9.7 - Prob. 12OECh. 9.7 - Prob. 1WECh. 9.7 - Prob. 2WECh. 9.7 - Prob. 3WECh. 9.7 - Prob. 4WECh. 9.7 - Prob. 5WECh. 9.7 - Prob. 6WECh. 9.7 - Prob. 7WECh. 9.7 - Prob. 8WECh. 9.7 - Prob. 9WECh. 9.7 - Prob. 10WECh. 9.7 - Prob. 11WECh. 9.7 - Prob. 12WECh. 9.7 - Prob. 13WECh. 9.7 - Prob. 14WECh. 9.7 - Prob. 15WECh. 9.7 - Prob. 16WECh. 9.7 - Prob. 17WECh. 9.7 - Prob. 18WECh. 9.7 - Prob. 19WECh. 9.7 - Prob. 20WECh. 9.7 - Prob. 1MRECh. 9.7 - Prob. 2MRECh. 9.7 - Prob. 3MRECh. 9.7 - Prob. 4MRECh. 9.7 - Prob. 5MRECh. 9.7 - Prob. 6MRECh. 9.7 - Prob. 7MRECh. 9.8 - Prob. 1OECh. 9.8 - Prob. 2OECh. 9.8 - Prob. 3OECh. 9.8 - Prob. 1WECh. 9.8 - Prob. 2WECh. 9.8 - Prob. 3WECh. 9.8 - Prob. 4WECh. 9.8 - Prob. 5WECh. 9.8 - Prob. 6WECh. 9.8 - Prob. 7WECh. 9.8 - Prob. 8WECh. 9.8 - Prob. 9WECh. 9.8 - Prob. 10WECh. 9.8 - Prob. 11WECh. 9.8 - Prob. 12WECh. 9.8 - Prob. 13WECh. 9.8 - Prob. 14WECh. 9.8 - Prob. 15WECh. 9.8 - Prob. 16WECh. 9.8 - Prob. 17WECh. 9.8 - Prob. 18WECh. 9.8 - Prob. 19WECh. 9.8 - Prob. 20WECh. 9.8 - Prob. 21WECh. 9.8 - Prob. 22WECh. 9.8 - Prob. 23WECh. 9.8 - Prob. 24WECh. 9.8 - Prob. 25WECh. 9.8 - Prob. 26WECh. 9.8 - Prob. 1PCh. 9.8 - Prob. 2PCh. 9.8 - Prob. 3PCh. 9.8 - Prob. 4PCh. 9.8 - Prob. 5PCh. 9.8 - Prob. 6PCh. 9.8 - Prob. 7PCh. 9.8 - Prob. 8PCh. 9.8 - Prob. 9PCh. 9.8 - Prob. 10PCh. 9.8 - Prob. 11PCh. 9.8 - Prob. 12PCh. 9.8 - Prob. 13PCh. 9.8 - Prob. 14PCh. 9.9 - Prob. 1OECh. 9.9 - Prob. 2OECh. 9.9 - Prob. 3OECh. 9.9 - Prob. 4OECh. 9.9 - Prob. 5OECh. 9.9 - Prob. 6OECh. 9.9 - Prob. 7OECh. 9.9 - Prob. 8OECh. 9.9 - Prob. 9OECh. 9.9 - Prob. 10OECh. 9.9 - Prob. 11OECh. 9.9 - Prob. 12OECh. 9.9 - Prob. 1WECh. 9.9 - Prob. 2WECh. 9.9 - Prob. 3WECh. 9.9 - Prob. 4WECh. 9.9 - Prob. 5WECh. 9.9 - Prob. 6WECh. 9.9 - Prob. 7WECh. 9.9 - Prob. 8WECh. 9.9 - Prob. 9WECh. 9.9 - Prob. 10WECh. 9.9 - Prob. 11WECh. 9.9 - Prob. 12WECh. 9.9 - Prob. 13WECh. 9.9 - Prob. 14WECh. 9.9 - Prob. 15WECh. 9.9 - Prob. 16WECh. 9.9 - Prob. 17WECh. 9.9 - Prob. 18WECh. 9.9 - Prob. 19WECh. 9.9 - Prob. 20WECh. 9.9 - Prob. 21WECh. 9.9 - Prob. 22WECh. 9.9 - Prob. 23WECh. 9.9 - Prob. 24WECh. 9.9 - Prob. 25WECh. 9.9 - Prob. 1PCh. 9.9 - Prob. 2PCh. 9.9 - Prob. 3PCh. 9.9 - Prob. 4PCh. 9.9 - Prob. 5PCh. 9.9 - Prob. 6PCh. 9.9 - Prob. 7PCh. 9.9 - Prob. 8PCh. 9.9 - Prob. 9PCh. 9.9 - Prob. 10PCh. 9.9 - Prob. 11PCh. 9.9 - Prob. 12PCh. 9.9 - Prob. 1MRECh. 9.9 - Prob. 2MRECh. 9.9 - Prob. 3MRECh. 9.9 - Prob. 4MRECh. 9.9 - 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