Subjects algebra

Oil Gas Ratio Ff425D

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1. **State the problem:** Kent mixed oil and gas in a ratio of 8 fluid ounces of oil for every 1 gallon of gas. We need to determine which of the given statements are true based on this ratio. 2. **Formula and ratio:** The ratio of oil to gas is $$\frac{8 \text{ fl oz oil}}{1 \text{ gallon gas}}$$. 3. **Check each statement:** - A. For every 2 gallons of gas, oil used = $$2 \times 8 = 16$$ fl oz. True. - B. For every 3 gallons of gas, oil used = $$3 \times 8 = 24$$ fl oz, not $$\frac{3}{8}$$ fl oz. False. - C. For every 5 gallons of gas, oil used = $$5 \times 8 = 40$$ fl oz. True. - D. For every 1 fl oz oil, gas used = $$\frac{1}{8}$$ gallon (since 8 fl oz oil per 1 gallon gas means 1 fl oz oil per 1/8 gallon gas). True. - E. For every 40 fl oz oil, gas used = $$\frac{40}{8} = 5$$ gallons, not 10 gallons. False. - F. For every 10 fl oz oil, gas used = $$\frac{10}{8} = 1.25$$ gallons = 1 1/4 gallons. True. 4. **Final true statements:** A, C, D, F. **Answer:** The four true statements are A, C, D, and F.