Problem 37
Question
What is a proportion? Give an example with your description.
Step-by-Step Solution
Verified Answer
A proportion refers to a statement that two ratios are equal. For instance, the proportion \(\frac{2}{5} = \frac{x}{10}\) can be solved to find x = 4.
1Step 1: Proportion Definition
A proportion is a name we give to a statement that two ratios are equal. It can be used to solve for a missing value when equivalent fractions are set equal to each other.
2Step 2: Giving an Example
Here's an example of a proportion: \(\frac{2}{5} = \frac{x}{10}\)
3Step 3: Explain the Example
In the example, we have two fractions set equal to each other. This makes a proportion. The value of x can be solved by cross-multiplication such that \(2*10 = 5*x\), leading to x = 4. The proportion therefore helps to solve for unknown values in equivalent fractions.
Other exercises in this chapter
Problem 36
Solve each rational equation. $$\frac{10}{y+2}=3-\frac{5 y}{y+2}$$
View solution Problem 37
add or subtract as indicated. Simplify the result, if possible. $$\frac{6 y^{2}+y}{2 y^{2}-9 y+9}-\frac{2 y+9}{2 y^{2}-9 y+9}-\frac{4 y-3}{2 y^{2}-9 y+9}$$
View solution Problem 37
Factor: \(6 x^{3}-6 x^{2}-120 x\)
View solution Problem 37
Simplify each rational expression. If the rational expression cannot be simplified, so state. $$\frac{x+1}{x^{2}-2 x-3}$$
View solution