Question

tishas mom wants to make a smoothie using this recipe. how many cups of blueberries will she need if he uses 15 bananas? blueberry banana smoothie makes 2 servings ingredients 6 bananas 2 cups of blueberries 1 cup 3 cups 4 cups 5 cups question 15 6.66 pts if the ratio of perimeters is 2:9, then the ratio of areas is? 2:9 5:21 4:81 8:729

Explanation:

First Sub - Question (Smoothie Recipe)

Step1: Find the ratio of blueberries to bananas

The recipe has 6 bananas and 2 cups of blueberries. So the ratio of blueberries to bananas is $\frac{2}{6}=\frac{1}{3}$.

Step2: Calculate blueberries for 15 bananas

Let $x$ be the number of cups of blueberries for 15 bananas. Using the ratio, we have $\frac{x}{15}=\frac{1}{3}$. Cross - multiplying gives $3x = 15$, so $x = 5$.

Step1: Recall the relationship between perimeters and areas of similar figures

For similar figures, if the ratio of their perimeters is $a:b$, the ratio of their areas is $a^{2}:b^{2}$.

Step2: Apply the formula to the given ratio

The ratio of perimeters is $2:9$. So the ratio of areas is $2^{2}:9^{2}=4:81$.

Answer:

5 cups

Second Sub - Question (Ratio of Areas)