The following statement that expresses a true proportion is :
A . 3 : 5 = 12 : 20
Further explanation
Order of Operations in Mathematics follow this following rule :
- Parentheses
- Exponents
- Multiplication and Division
- Addition and Subtraction
This rule is known as the PEMDAS method.
In working on a mathematical problem, we first calculate operation that is in parentheses, follow by exponentiation, then multiplication or division, and finally addition or subtraction.
Let us tackle the problem !
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Option A:
[tex]\frac{3}{5} = \frac{12}{20}[/tex]
[tex]3 \times 20 = 5 \times 12[/tex]
[tex]60 = 60[/tex] → true proportion
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Option B:
[tex]\frac{2}{3} \ne \frac{3}{2}[/tex]
[tex]2 \times 2 \ne 3 \times 3[/tex]
[tex]4 \ne 9[/tex] → not true proportion
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Option C:
[tex]\frac{14}{6} \ne \frac{28}{18}[/tex]
[tex]14 \times 18 \ne 6 \times 28[/tex]
[tex]252 \ne 168[/tex] → not true proportion
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Option D:
[tex]\frac{42}{7} \ne \frac{6}{2}[/tex]
[tex]42 \times 2 \ne 7 \times 6[/tex]
[tex]84 \ne 42[/tex] → not true proportion
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Learn more
- Infinite Number of Solutions : https://brainly.com/question/5450548
- System of Equations : https://brainly.com/question/1995493
- System of Linear equations : https://brainly.com/question/3291576
Answer details
Grade: High School
Subject: Mathematics
Chapter: Linear Equations
Keywords: Linear , Equations , 1 , Variable , Line , Gradient , Point
