Concept explainers
(a)
The equation to model thissituation.
(a)
Answer to Problem 56PFA
Explanation of Solution
Given:
The ratio of an integer to 4 is the same as the ratio of 9 to that integer.
Concept Used:
Rules of Addition/ Subtraction:
- Two numbers with similar sign always get added and the resulting number will carry the similar sign.
- Two numbers with opposite signs always get subtracted and the resulting number will carry the sign of larger number.
Rules of Multiplication/ Division:
- The product/quotient of two similar sign numbers is always positive.
- The product/quotient of two numbers with opposite signs is always negative.
Calculation:
Let the integer be x. Then, as per the statement the ratio ofx to 4 is the same as the ratio of 9 to x.
Thus, the equation to model this situation is
(b)
The possible value of x.
(b)
Answer to Problem 56PFA
Explanation of Solution
Given:
The ratio of an integer to 4 is the same as the ratio of 9 to that integer.
Concept Used:
Rules of Addition/ Subtraction:
- Two numbers with similar sign always get added and the resulting number will carry the similar sign.
- Two numbers with opposite signs always get subtracted and the resulting number will carry the sign of larger number.
Rules of Multiplication/ Division:
- The product/quotient of two similar sign numbers is always positive.
- The product/quotient of two numbers with opposite signs is always negative.
Calculation:
In order to find the possible values of x is
Thus, the possible values of xis
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Algebra 1, Homework Practice Workbook (MERRILL ALGEBRA 1)
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