0
What else can I help you with?
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
Do the ratios 2 1 and 20 10 form a proportion?
To determine if the ratios ( \frac{2}{1} ) and ( \frac{20}{10} ) form a proportion, we can compare their cross products. The cross products are ( 2 \times 10 = 20 ) and ( 1 \times 20 = 20 ). Since both cross products are equal, the ratios do form a proportion.
What methods is used to determine if 2 ratios form a proportion?
To determine if two ratios form a proportion, you can use cross-multiplication. If the cross-products of the ratios are equal, the ratios are proportional. For example, for the ratios ( \frac{a}{b} ) and ( \frac{c}{d} ), if ( a \times d = b \times c ), then the two ratios form a proportion. Additionally, you can also compare the decimal values of the ratios; if they are equal, they are proportional.
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.
What is two equal ratios joined by and equal sign?
Two equal ratios joined by an equal sign are called a proportion. For example, if you have the ratios ( \frac{a}{b} ) and ( \frac{c}{d} ), they form a proportion when written as ( \frac{a}{b} = \frac{c}{d} ). This indicates that the two ratios are equivalent, meaning that the cross products ( a \cdot d ) and ( b \cdot c ) are equal. Proportions are often used to solve problems involving similar figures or scaling.
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
How do you compare ratios-?
To compare ratios, compare the products of the outer terms by the inner terms.
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.
