Question #6445770Fill in the Blank
Algebra-1
Question
If and , find the value of . The value of is ________ .
Answer & Analysis
Analysis
Question Analysis
This question tests the student's ability to solve for an unknown variable in a proportion when one of the variables is given. The problem requires the student to use cross-multiplication and basic algebra to find the value of .
This question tests the student's ability to solve for an unknown variable in a proportion when one of the variables is given. The problem requires the student to use cross-multiplication and basic algebra to find the value of .
Key Concept Explanation
Cross-multiplication is a method used to solve proportions by multiplying the numerator of one fraction by the denominator of the other, setting the products equal. This transforms the proportion into a simple equation.
Cross-multiplication is a method used to solve proportions by multiplying the numerator of one fraction by the denominator of the other, setting the products equal. This transforms the proportion into a simple equation.
Step-by-step Solution
1. Set up the proportion with the given value:
2. Cross-multiply:
3. Simplify:
1. Set up the proportion with the given value:
2. Cross-multiply:
3. Simplify:
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