Which of these are aquivarent to $$ 3 \times \div ? $$ Select two eholees. A. $$ \frac{\square}{5} $$ B. $$ \quad \frac{\pi}{8} \times \frac{1}{3} $$ C. $$ 1+2+\frac{4}{6} $$ D. $$ \frac{4}{8}+\frac{4}{8}+\frac{1}{8} $$ E. $$ \frac{12}{6} $$ What is the missing unit fraction that makes the following equation true? $$ \frac{7}{s}=6 x $$ $$ \qquad $$ A. $$ \frac{1}{5} $$ B. $$ \frac{1}{a} $$ C. $$ \frac{6}{8} $$ D. $$ \frac{13}{8} $$ Cali is making soup. She uses $$ \frac{5}{7} $$ cup of chicken broth and $$ \frac{1}{7} $$ cup of beef broth per serving. How many cups of broth will she need for all 4 servings? What is the missing factor for the equation below? $$ \qquad $$ $$ x \frac{1}{9}=\frac{5}{9} $$ What is the product of $$ 6 \times \frac{4}{5} $$ ? Use the information given to answer the questions 11-12. Justin runs $$ \frac{3}{4} $$ of a mile. Remy runs 3 times longer than Justin. Part A: Draw a fraction model that represents the amount of time Rudy reads?

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UpStudy AI · Accepted Answer

Let's break down each part of your problem step by step.

### Part 1: Identify Equivalents to $$ 3 \times \div $$

We need to find two expressions that are equivalent to $$ 3 \times \div $$. However, it seems there might be a typo in the expression $$ 3 \times \div $$. Assuming it means $$ 3 $$ (as a whole number), we will evaluate each option to see which ones equal $$ 3 $$.

1. **A.** $$ \frac{\square}{5} $$  
   To equal $$ 3 $$, we set up the equation:  
   $$
   \frac{\square}{5} = 3 \implies \square = 3 \times 5 = 15
   $$
   So, $$ A $$ can be $$ 15/5 = 3 $$.

2. **B.** $$ \frac{\pi}{8} \times \frac{1}{3} $$  
   This evaluates to:  
   $$
   \frac{\pi}{8} \times \frac{1}{3} = \frac{\pi}{24}
   $$
   This is not equal to $$ 3 $$.

3. **C.** $$ 1 + 2 + \frac{4}{6} $$  
   Simplifying:  
   $$
   1 + 2 + \frac{4}{6} = 3 + \frac{2}{3} = 3.67 \text{ (not equal to 3)}
   $$

4. **D.** $$ \frac{4}{8} + \frac{4}{8} + \frac{1}{8} $$  
   Simplifying:  
   $$
   \frac{4}{8} + \frac{4}{8} + \frac{1}{8} = \frac{9}{8} \text{ (not equal to 3)}
   $$

5. **E.** $$ \frac{12}{6} $$  
   Simplifying:  
   $$
   \frac{12}{6} = 2 \text{ (not equal to 3)}
   $$

Thus, the only equivalent expression is **A**. However, since we need two, we can conclude that there might be a misunderstanding in the question.

### Part 2: Find the Missing Unit Fraction

We need to solve the equation:  
$$
\frac{7}{s} = 6x
$$
To find $$ s $$, we can rearrange the equation:  
$$
s = \frac{7}{6x}
$$
The missing unit fraction is $$ \frac{1}{6} $$ when $$ x = 1 $$. Thus, the answer is **B. $$ \frac{1}{a} $$** where $$ a = 6 $$.

### Part 3: Total Cups of Broth for 4 Servings

Cali uses $$ \frac{5}{7} $$ cup of chicken broth and $$ \frac{1}{7} $$ cup of beef broth per serving. The total broth per serving is:  
$$
\frac{5}{7} + \frac{1}{7} = \frac{6}{7}
$$
For 4 servings:  
$$
4 \times \frac{6}{7} = \frac{24}{7} \text{ cups}
$$

### Part 4: Missing Factor in the Equation

We need to find $$ x $$ in the equation:  
$$
x \frac{1}{9} = \frac{5}{9}
$$
To find $$ x $$, we can multiply both sides by $$ 9 $$:  
$$
x = 5
$$

### Part 5: Product of $$ 6 \times \frac{4}{5} $$

Calculating the product:  
$$
6 \times \frac{4}{5} = \frac{24}{5} = 4.8
$$

### Part 6: Fraction Model for Rudy's Reading Time

Since the question about Rudy's reading time is incomplete, I will assume you meant to ask about Remy's running time. If Remy runs 3 times longer than Justin, who runs $$ \frac{3}{4} $$ of a mile, then:  
$$
\text{Remy's distance} = 3 \times \frac{3}{4} = \frac{9}{4} \text{ miles}
$$

If you need a fraction model, you can represent $$ \frac{9}{4} $$ as a bar divided into 4 equal parts, with 9 parts shaded.

### Summary of Answers:
1. **A** (and possibly another if clarified).
2. **B** (missing unit fraction).
3. **$$\frac{24}{7}$$** cups of broth.
4. **5** (missing factor).
5. **$$\frac{24}{5}$$** or **4.8**.
6. **Fraction model** for Remy's running distance.
**Part 1:** A. $$ \frac{15}{5} = 3 $$ **Part 2:** B. $$ \frac{1}{6} $$ **Part 3:** Cali needs $$ \frac{24}{7} $$ cups of broth for 4 servings. **Part 4:** The missing factor is 5. **Part 5:** The product is $$ \frac{24}{5} $$ or 4.8. **Part 6:** Remy runs $$ \frac{9}{4} $$ miles.

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