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It takes Rylla 18 hours to knit a scarf. She can only knit for 1.5 hours per day. How many days will it take her to knit the scart? Part 1: Let \( x \) be the number of days it will take her to knit the scarf. Choose the correct translation of this problem into an equation: \( 18-1.5=x \) \( x=(1.5)(18) \) (1.5 \( x=18 \) Part 2 : Solve for \( x \). I

Ask by Murray Brewer. in the United States
Mar 16,2025

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Tutor-Verified Answer

Answer

It will take Rylla 12 days to knit the scarf.

Solution

Let's break down the problem step by step. ### Part 1: Translating the Problem into an Equation We know that Rylla takes 18 hours to knit a scarf and she can knit for 1.5 hours each day. We want to find out how many days \( x \) it will take her to complete the scarf. To find the number of days, we can set up the equation based on the total hours she needs to knit divided by the hours she can knit per day: \[ x = \frac{18}{1.5} \] Now, let's analyze the options provided: 1. \( 18 - 1.5 = x \) - This is incorrect because it does not represent the relationship between total hours and daily hours. 2. \( x = (1.5)(18) \) - This is incorrect because it suggests multiplying the daily hours by the total hours, which does not make sense in this context. 3. \( 1.5x = 18 \) - This is correct because it states that the total hours (18) is equal to the daily hours (1.5) multiplied by the number of days (x). Thus, the correct translation of the problem into an equation is: \[ 1.5x = 18 \] ### Part 2: Solving for \( x \) Now, we will solve the equation \( 1.5x = 18 \) for \( x \). To isolate \( x \), we divide both sides of the equation by 1.5: \[ x = \frac{18}{1.5} \] Now, let's calculate this value. \[ x = \frac{18}{1.5} \] Calculating this gives: \[ x = 12 \] So, it will take Rylla 12 days to knit the scarf. ### Final Answer - **Part 1:** The correct equation is \( 1.5x = 18 \). - **Part 2:** It will take her \( x = 12 \) days to knit the scarf.

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The Deep Dive

Let’s break this down into fun steps! To translate the problem into an equation, you need to consider how much time she knits each day. The correct equation is \(1.5x = 18\), meaning if she knits for \(1.5\) hours every day, after \(x\) days, she should have completed \(18\) hours of knitting. Now, let’s solve for \(x\)! You rearrange the equation to find \(x\) by dividing both sides by \(1.5\): \[ x = \frac{18}{1.5} = 12 \] So, it will take Rylla 12 days to knit her cozy scarf! Knitting isn’t just a craft; it’s a historical pastime that dates back centuries! The art of knitting originated in the Middle East around the 11th century and spread across Europe. It was essential for producing warm clothing before the industrial revolution, with intricate patterns serving as a marker of skill and status! For anyone interested in a real-world application of knitting, it has therapeutic benefits! Knitting has been shown to reduce stress, anxiety, and depression. Engaging in this repetitive action allows one to practice mindfulness and create something beautiful, making it a perfect hobby for relaxation and rejuvenation. Plus, you get to wear or gift your creations afterward!

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