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ourse \( \mid \) Messages \( \mid \) Forums | Catendar | Gradeoook \( \mid \) tome > Math0055 Foundational Mathematics Spring \( 2025 \mathrm{M} / \mathrm{W} \) 10:00-11:50 > Assessment Check Your Learning Unit 7 Score: \( 11 / 14 \) Answered: \( 12 / 14 \) Question 9 Apollo Spas services 309 hot tubs. If each hot tub needs 135 mL of muriatic acid, how many liters of acid are needed for all of the hot tubs? Submit Question

Ask by Riley Bob. in the United States
Feb 03,2025

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Apollo Spas needs 41.715 liters of muriatic acid for all the hot tubs.

Solution

Sure, let's work through **Question 9** step by step. **Problem Statement:** Apollo Spas services **309 hot tubs**. If each hot tub needs **135 mL** of muriatic acid, how many **liters** of acid are needed for all of the hot tubs? **Step 1: Calculate the Total Volume of Acid in Milliliters** First, find the total amount of acid needed for all 309 hot tubs by multiplying the amount needed per hot tub by the total number of hot tubs. \[ \text{Total Acid (mL)} = \text{Number of Hot Tubs} \times \text{Acid per Hot Tub} \] \[ \text{Total Acid (mL)} = 309 \times 135 \, \text{mL} \] \[ \text{Total Acid (mL)} = 41,715 \, \text{mL} \] **Step 2: Convert Milliliters to Liters** Since the question asks for the volume in liters, convert milliliters to liters. Recall that: \[ 1 \, \text{Liter} = 1,000 \, \text{Milliliters} \] \[ \text{Total Acid (Liters)} = \frac{\text{Total Acid (mL)}}{1,000} \] \[ \text{Total Acid (Liters)} = \frac{41,715 \, \text{mL}}{1,000} = 41.715 \, \text{Liters} \] **Final Answer:** Apollo Spas needs **41.715 liters** of muriatic acid to service all 309 hot tubs.

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To find out how much muriatic acid is needed for 309 hot tubs, you would multiply the number of hot tubs by the amount of acid needed for one, which is \( 309 \times 135 \) mL. That gives you 41,835 mL total. Since there are 1,000 mL in a liter, you divide by 1,000 to convert: \( 41.835 \) liters of muriatic acid are required for all the hot tubs. That's the straightforward math, but don’t forget that proper safety precautions are essential! Always wear gloves and goggles when handling chemicals like muriatic acid, and ensure you’re working in a well-ventilated area to avoid inhaling any harmful fumes. Stay safe while keeping those hot tubs shiny and clean!

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