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Proportional quantities are described by equivalent ratios because they maintain a constant relationship between two quantities. For example, if two ratios, such as 1:2 and 2:4, are equivalent, they represent the same relationship, meaning that as one quantity increases, the other does so in a consistent manner. This property allows for scaling up or down while preserving the ratio, demonstrating how proportional relationships function in various contexts, such as cooking, finance, or geometry.
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What is the name of equivalent ratios?
Equivalent ratios are often referred to as "proportional ratios." These are ratios that express the same relationship between two quantities, even though the numbers may differ. For example, the ratios 1:2 and 2:4 are equivalent because they represent the same proportional relationship.
What is two or more ratios having the same value?
Two or more ratios that have the same value are referred to as equivalent ratios. For example, the ratios 1:2 and 2:4 are equivalent because they both simplify to the same fraction, 0.5. Equivalent ratios maintain the same proportional relationship, meaning they represent the same relationship between quantities despite being expressed in different forms.
Are the ratios 3 to 7 and 6 to 14 proportional?
They are equivalent.
What is an equavalent ratio?
An equivalent ratio is a ratio that expresses the same relationship between two quantities, even if the actual numbers differ. For example, the ratios 1:2 and 2:4 are equivalent because they represent the same proportional relationship. You can obtain equivalent ratios by multiplying or dividing both terms of the ratio by the same non-zero number. Equivalent ratios are often used in various applications, including scaling recipes and converting units.
What are the characteristics of equivalent ratios?
Equivalent ratios are ratios that express the same relationship between two quantities, even if they use different numbers. They can be found by multiplying or dividing both terms of a ratio by the same non-zero number. For instance, the ratios 1:2 and 2:4 are equivalent because they both simplify to the same proportion. Additionally, equivalent ratios maintain the same relative size or comparison between the two quantities involved.
What is the name of equivalent ratios?
Equivalent ratios are often referred to as "proportional ratios." These are ratios that express the same relationship between two quantities, even though the numbers may differ. For example, the ratios 1:2 and 2:4 are equivalent because they represent the same proportional relationship.
What are two equivalent ratios called?
They are said to be proportional.
Are the ratios 3 to 7 and 6 to 14 proportional?
They are equivalent.
What is a pair of ratios?
A pair of ratios consists of two proportional relationships that compare two quantities. For example, if the ratio of apples to oranges is 3:2, it can be expressed as the pair of ratios 3:2 and 3/2. These ratios indicate that for every three apples, there are two oranges, maintaining a consistent relationship between the two quantities.
What is an equavalent ratio?
An equivalent ratio is a ratio that expresses the same relationship between two quantities, even if the actual numbers differ. For example, the ratios 1:2 and 2:4 are equivalent because they represent the same proportional relationship. You can obtain equivalent ratios by multiplying or dividing both terms of the ratio by the same non-zero number. Equivalent ratios are often used in various applications, including scaling recipes and converting units.
What are the characteristics of equivalent ratios?
Equivalent ratios are ratios that express the same relationship between two quantities, even if they use different numbers. They can be found by multiplying or dividing both terms of a ratio by the same non-zero number. For instance, the ratios 1:2 and 2:4 are equivalent because they both simplify to the same proportion. Additionally, equivalent ratios maintain the same relative size or comparison between the two quantities involved.
What is compound proportion?
Compound proportion refers to a mathematical relationship between two ratios where multiple quantities are compared. It involves comparing multiple ratios involving more than two quantities in a proportional relationship.
How are equivalent ratios like equivalent fractions?
Equivalent ratios are like equivalent fractions because they represent the same relationship between quantities in different forms. Just like equivalent fractions are different expressions of the same value, equivalent ratios show the same comparison between two quantities using different numerical values.
How do you find proportional relationships?
To find proportional relationships, you can compare the ratios of two quantities to see if they remain constant. This can be done by setting up a ratio (e.g., ( \frac{y_1}{x_1} = \frac{y_2}{x_2} )) for different pairs of values. If the ratios are equal, the relationship is proportional. Additionally, graphing the values will show a straight line through the origin if the relationship is proportional.
How do you determine if the quantities in a pair of ratios are equivalent?
If the cross-product are equal the ratios are equal. Thus, a/b = c/d if (and only if) ad = bc
What a two ratios that have the same value called?
Two ratios that have the same value are called "proportional ratios" or simply "proportions." When two ratios are equal, they can be expressed in the form ( \frac{a}{b} = \frac{c}{d} ), indicating that the relationship between the quantities remains consistent. This concept is fundamental in mathematics, especially in solving problems involving similar figures, scaling, and comparing quantities.
What is true about ratios for proportional relationships that is not true about ratios for other relationships?
For proportional relationships the ratio is a constant.
