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What does it mean if the cross products of two ratios are not equal?
The ratios are not equal.
Determine whether the ratios 9 15 and 6 10 form a proportion Justify your answer?
The fractions are proportional and their cross products are equal
What are the products of the terms on the diagonals when two ratios are compared?
The products of the diagonal terms of two ratios is known as the cross product. This term is more often used in reference to vectors, however.
Is 8 to 9 proportional to 3 to 4?
To determine if two ratios are proportional, we cross multiply and check if the products are equal. In this case, 8 * 4 = 32 and 9 * 3 = 27. Since 32 is not equal to 27, the ratios 8 to 9 and 3 to 4 are not proportional.
What is equality test for fractions?
Two fractions, a/b and c/d are equal if and only if the cross products ad and bc are equal.
What does it mean if the cross products of two ratios are not equal?
The ratios are not equal.
When you cross multiply two equal ratios the what are equal?
The products.
When two or more ratios are equivalent?
When the cross-products of the two ratios are equal.
Determine whether the ratios 9 15 and 6 10 form a proportion Justify your answer?
The fractions are proportional and their cross products are equal
What is a true proportion?
A true proportion is when two ratios are equal to one another. To prove this, you need to find the cross products of the ratios and see if they are equal. An example of a true proportion are the ratios 1/2 and 5/10, if you take the cross product the result is 2 x 5 = 1 x 10, which are equal.
How do you compare ratios-?
To compare ratios, compare the products of the outer terms by the inner terms.
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
An equation that sets two ratios equal to each other?
An equation that sets two ratios equal to each other is called a proportion. In a proportion, the cross products of the ratios are equal. For example, in the proportion ( \frac{a}{b} = \frac{c}{d} ), the cross products are ad and bc, and they are equal. Solving proportions involves finding the missing value in one of the ratios by setting up and solving a simple equation.
What are some characteristics of proportions?
Proportions show a relationship between two equal ratios. They maintain equality when both sides are multiplied or divided by the same number. In a proportion, the cross-products are always equal.
How do mole ratios compare to volume ratios for gaseous reactants and products in a balanced chemical equation?
At constant temperature and pressure the ratios are equal.
How do you know if ratios are equivalent?
Cross-multiply them. Given A/B and C/D, if AD = BC then the two ratios are equal.
How are cross products and unit rates helpful in determining whether two ratios are equivalent?
If two ratios are equivalent then their cross-product must be 1, and their unit rates must be the same.
