Scaling- when you multiply or divide equivalent fractions
4 to 10,2 to
Scaling or using equivalent ratios can help in decision-making by allowing for comparisons between different quantities or situations in a standardized way. For instance, if you need to choose between two different products based on price and quality, you can create a ratio of price to quality for each product. By scaling these ratios, you can easily identify which product offers better value for money. This method ensures that decisions are based on objective data rather than subjective opinions.
For question 1 the answer is the small table because you have to divide the number of tables by the number of pizzas. For answer 2 the answer is no becuse he was scaling down and simplfying the ratios to 9 and 5. The rest I do not know so good luck.
No, but the reverse is true. All rational numbers are ratios but not all ratios are rational. You will often come across π being defined as the RATIO of the circumference of a circle to its diameter (there are other definitions). However, the word "rational" is derived from "ratio".
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.
A comparison of two equal ratios is known as a proportion. It expresses the relationship between two quantities in the same way, indicating that the two ratios are equivalent. For example, if we have the ratios 1:2 and 2:4, we can say that they are proportional because 1/2 equals 2/4. Proportions are often used to solve problems involving scaling or converting between different units.
Ratios equivalent to 8 to 10 can be found by multiplying both terms by the same non-zero number. For example, multiplying by 2 gives 16 to 20, and multiplying by 3 gives 24 to 30. Other equivalent ratios include 4 to 5 and 12 to 15, as these can also be derived by simplifying or scaling the original ratio.
Ratios are important in math because they provide a way to compare quantities and understand their relative sizes. They are fundamental in various applications, such as scaling, proportions, and rates, which are essential in fields like finance, science, and engineering. Ratios help simplify complex relationships and make data analysis more intuitive, allowing for better decision-making and problem-solving.
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.
A scaling tower and scaling ladder are both used to scale walls. A scaling tower is better though
To use ratio tables for comparing ratios, first, create a table that lists the values of each ratio in corresponding rows. For example, if you're comparing the ratios of apples to oranges and bananas to grapes, list the quantities of each in separate columns. By filling in the table with equivalent values (e.g., scaling each ratio to a common denominator), you can easily see which ratio is greater or if they are equivalent. This visual representation helps clarify the relationships between the ratios at a glance.
An equivalent ratio is a pair of ratios that express the same relationship between two quantities. For example, the ratios 2:3 and 4:6 are equivalent because both can be simplified to the same proportion. To create equivalent ratios, you can multiply or divide both terms of a ratio by the same non-zero number. This concept is often used in scaling recipes, comparing quantities, and solving problems involving proportions.