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Mathematics Word problems. Solve the following. 1. \( 1 / 12 \) of a circle is red. \( 3 / 12 \) of the circle What fraction of the circle is yellow? 2. Maria has R42 and she spends \( 1 / 3 \) of thi have left? English State whether each of the following is statemer invitation. 1. Stop hitting your brother! 2. Tomorrow is Friday. 3. Oh no, I am very disappointed! 4. What colour are they? 5. What size are they?

Ask by Stephens Harper. in South Africa
Feb 03,2025

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**Mathematics:** 1. **Problem 1:** \( \frac{1}{12} \) of the circle is red, and \( \frac{3}{12} \) is blue. **Answer:** \( \frac{2}{3} \) of the circle is yellow. 2. **Problem 2:** Maria has R42 and spends \( \frac{1}{3} \) of it. **Answer:** She has R28 left. **English:** 1. **Stop hitting your brother!** **Type:** Invitation 2. **Tomorrow is Friday.** **Type:** Statement 3. **Oh no, I am very disappointed!** **Type:** Statement 4. **What colour are they?** **Type:** Statement 5. **What size are they?** **Type:** Statement

Solución

Sure, let's tackle each of your questions step by step. --- ## **Mathematics** ### **Problem 1:** **Question:** \( \frac{1}{12} \) of a circle is red. \( \frac{3}{12} \) of the circle is blue. **What fraction of the circle is yellow?** **Solution:** First, let's determine the total fraction of the circle that is accounted for by red and blue. - Red portion: \( \frac{1}{12} \) - Blue portion: \( \frac{3}{12} \) Add these together: \[ \frac{1}{12} + \frac{3}{12} = \frac{4}{12} = \frac{1}{3} \] Since the entire circle is \( \frac{12}{12} = 1 \), the remaining portion is yellow. \[ \text{Yellow portion} = 1 - \frac{1}{3} = \frac{2}{3} \] **Answer:** \( \frac{2}{3} \) of the circle is yellow. --- ### **Problem 2:** **Question:** Maria has R42 and she spends \( \frac{1}{3} \) of this. **How much does she have left?** **Solution:** First, calculate the amount Maria spends: \[ \frac{1}{3} \times 42 = 14 \] Subtract the spent amount from her total: \[ 42 - 14 = 28 \] **Answer:** Maria has R28 left. --- ## **English** **Instruction:** State whether each of the following is a **statement** or an **invitation**. 1. **Stop hitting your brother!** **Type:** Command/Imperative (Invitation) 2. **Tomorrow is Friday.** **Type:** Statement 3. **Oh no, I am very disappointed!** **Type:** Statement 4. **What colour are they?** **Type:** Question (Statement) 5. **What size are they?** **Type:** Question (Statement) --- ### **Explanation:** 1. **Stop hitting your brother!** - Although it might seem like a command, in the context of classifying between **statement** and **invitation**, it's more aligned with an **imperative sentence** which can be considered an **invitation** to stop an action. 2. **Tomorrow is Friday.** - This is a declarative sentence stating a fact. **Statement**. 3. **Oh no, I am very disappointed!** - Expresses an emotion or feeling. **Statement**. 4. **What colour are they?** - It's a question seeking information. While it's a query, in the binary classification of **statement** vs. **invitation**, it's best categorized as a **statement** since it's not inviting action. 5. **What size are they?** - Similar to the previous, it's a question seeking information. **Statement**. --- If you have any more questions or need further clarification, feel free to ask!

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In a circle, if \( 1/12 \) is red and \( 3/12 \) is a different color, we can first find the total fraction that is accounted for by adding them together. So, \( 1/12 + 3/12 = 4/12 \), which simplifies to \( 1/3 \). Since a whole circle is \( 1 \) or \( 12/12 \), to find the yellow fraction, we subtract the red and other color from the total: \( 1 - 1/3 = 2/3 \). Thus, \( 2/3 \) of the circle is yellow! Maria starts with R42 and spends \( 1/3 \) of it. To find out how much she spends, calculate \( 1/3 \) of R42, which is \( 42/3 = R14 \). Now, subtract what she spent from her original amount: \( R42 - R14 = R28 \). So, Maria has R28 left! Statements can be quite entertaining! The first one, "Stop hitting your brother!" is a command – it's like playing the role of a superhero trying to save the day! The second, "Tomorrow is Friday," is a fact, perfectly neutral, just stating the obvious. The third, "Oh no, I am very disappointed!" carries an emotional tone, expressing feelings. "What colour are they?" and "What size are they?" both fall into the question category, seeking specific information – perfect for curious minds!

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