Which expression is equivalent to \( 12-7 \) \( \begin{array}{l}\text { (4) } 12 \div 7 \\ \text { Kamaria lives on a ranch with } 4 \text { horses. She feeds the horses a } \\ \text { total of } 10 \text { pounds of oats. Each horse gets the same amount of } \\ \text { oats. How many pounds of oats does each horse get? Use a } \\ \text { visual model and an equation to support your answer. } \\ \text { Which situations can be represented by } \frac{25}{9} 7 \text { Select all that apply. } \\ \text { (A) Platon cuts } 25 \text { yards of paper equally to make } 9 \text { banners. } \\ \text { (B) Selena gives away } 9 \text { stickers from a sheet of } 25 \text { stickers. } \\ \text { (C) Keenan invites } 25 \text { children and } 9 \text { adults to a party. } \\ \text { (D) Mercedes makes } 9 \text { rows with } 25 \text { buttons each. } \\ \text { (E) Felipe makes } 9 \text { equal servings from a } 25 \text {-ounce bagg of peanuts. }\end{array} \) (0)

Let's break down the problem step by step. ### Step 1: Evaluate the expression \( 12 - 7 \) The expression \( 12 - 7 \) simplifies to: \[ 12 - 7 = 5 \] ### Step 2: Analyze the options for equivalent expressions The options provided are: 1. \( 12 \div 7 \) Since \( 12 - 7 = 5 \), we need to check if any of the options represent the same value as \( 5 \). ### Step 3: Check the expression \( 12 \div 7 \) Calculating \( 12 \div 7 \): \[ 12 \div 7 \approx 1.7142857142857142 \] This is not equal to \( 5 \). ### Step 4: Solve the word problem about Kamaria and the horses Kamaria feeds a total of \( 10 \) pounds of oats to \( 4 \) horses. To find out how many pounds of oats each horse gets, we can set up the equation: \[ \text{Oats per horse} = \frac{\text{Total oats}}{\text{Number of horses}} = \frac{10}{4} \] Calculating this gives: \[ \frac{10}{4} = 2.5 \] So, each horse gets \( 2.5 \) pounds of oats. ### Step 5: Analyze the situations represented by \( \frac{25}{9} \) We need to determine which situations can be represented by \( \frac{25}{9} \). - **(A)** Platon cuts \( 25 \) yards of paper equally to make \( 9 \) banners. - This can be represented as \( \frac{25}{9} \) yards per banner. - **(B)** Selena gives away \( 9 \) stickers from a sheet of \( 25 \) stickers. - This does not represent \( \frac{25}{9} \) as it does not involve division of \( 25 \) by \( 9 \). - **(C)** Keenan invites \( 25 \) children and \( 9 \) adults to a party. - This does not represent \( \frac{25}{9} \) as it is not a division situation. - **(D)** Mercedes makes \( 9 \) rows with \( 25 \) buttons each. - This does not represent \( \frac{25}{9} \) as it is not a division situation. - **(E)** Felipe makes \( 9 \) equal servings from a \( 25 \)-ounce bag of peanuts. - This can be represented as \( \frac{25}{9} \) ounces per serving. ### Conclusion The situations that can be represented by \( \frac{25}{9} \) are: - (A) Platon cuts \( 25 \) yards of paper equally to make \( 9 \) banners. - (E) Felipe makes \( 9 \) equal servings from a \( 25 \)-ounce bag of peanuts. Thus, the final answers are: - The expression equivalent to \( 12 - 7 \) is \( 5 \). - The situations represented by \( \frac{25}{9} \) are (A) and (E).