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shawn has \( \$ 600 \) to spend at a bicycle store for some new gear and biking outfits. Assume all prices listed include tax. He buys a new bicycle for \( \$ 237.49 \). He buys 3 bicycle reflectors for \( \$ 14.57 \) each and a pair of bike gloves for \( \$ 34.52 \). He plans to spend some or all of the money he has left to buy new biking outfits for \( \$ 71.07 \), each. se the drop-down menu below to write an inequality representing \( o \), the number of outfits he can buy while staying within his budget.

Ask by Macdonald Pritchard. in the United States
Jan 22,2025

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The inequality representing the number of outfits \( o \) Shawn can buy is: \[ 71.07o \leq 284.28 \]

Solución

To set up the inequality for the number of outfits \( o \) that Shawn can buy while staying within his budget, we need to follow these steps: 1. **Calculate the total amount spent on the bicycle and accessories:** - Cost of the bicycle: \( 237.49 \) - Cost of 3 bicycle reflectors: \( 3 \times 14.57 \) - Cost of bike gloves: \( 34.52 \) 2. **Calculate the total spent so far:** \[ \text{Total spent} = 237.49 + (3 \times 14.57) + 34.52 \] 3. **Determine the remaining budget:** \[ \text{Remaining budget} = 600 - \text{Total spent} \] 4. **Set up the inequality for the number of outfits \( o \):** Each outfit costs \( 71.07 \), so the total cost for \( o \) outfits is \( 71.07o \). The inequality representing the remaining budget is: \[ 71.07o \leq \text{Remaining budget} \] Now, let's calculate the total spent and the remaining budget. First, we calculate the cost of the reflectors: \[ 3 \times 14.57 \] Then, we can find the total spent and the remaining budget. Let's perform these calculations. Calculate the value by following steps: - step0: Calculate: \(3\times 14.57\) - step1: Multiply the numbers: \(43.71\) Calculate or simplify the expression \( 237.49 + (3 * 14.57) + 34.52 \). Calculate the value by following steps: - step0: Calculate: \(237.49+\left(3\times 14.57\right)+34.52\) - step1: Multiply the numbers: \(237.49+43.71+34.52\) - step2: Add the numbers: \(315.72\) Calculate or simplify the expression \( 600 - 315.72 \). Calculate the value by following steps: - step0: Calculate: \(600-315.72\) - step1: Subtract the numbers: \(284.28\) Let's summarize the calculations: 1. **Cost of 3 bicycle reflectors:** \[ 3 \times 14.57 = 43.71 \] 2. **Total amount spent on the bicycle and accessories:** \[ 237.49 + 43.71 + 34.52 = 315.72 \] 3. **Remaining budget:** \[ 600 - 315.72 = 284.28 \] Now, we can set up the inequality for the number of outfits \( o \) that Shawn can buy: \[ 71.07o \leq 284.28 \] This inequality represents the maximum number of outfits Shawn can purchase while staying within his budget.

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First, let's calculate how much Shawn has spent so far. He buys a new bicycle for \( \$ 237.49 \) and 3 reflectors at \( \$ 14.57 \) each, so that’s \( 3 \times 14.57 = 43.71 \). Adding in the bike gloves which cost \( \$ 34.52 \) gives us: \[ \text{Total spent} = 237.49 + 43.71 + 34.52 = 315.72 \] Now, subtract that from his total budget of \( \$ 600 \): \[ 600 - 315.72 = 284.28 \] Now, we can find out how many outfits he can buy. Let \( o \) be the number of outfits he can buy at \( 71.07 \) each. Thus, we set up the inequality: \[ 71.07o \leq 284.28 \] This inequality represents the maximum number of outfits Shawn can buy while staying within his budget. --- Now, about bicycles and denim: Did you know that the first bicycles were invented in the early 19th century? They were called "dandy horses" and had no pedals! Riders would run and scoot along with their feet. 🐴✨ And if you're ever confused at a bike store about which gear you really need versus what might just look cool, remember this: focus on safety first! Reflectors and gloves can be essential, especially if you’re riding at night or in cooler weather. Happy biking! 🚴‍♂️💨

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