13.2.AP-16 Find all the comparisons that are true. 5 cups \( <5 \) pints 4 gallons \( <50 \) cups 3 pints \( >3 \) quarts 7 quarts \( <30 \) cups 2 gallons \( <10 \) quarts
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Let's break it down with some fun facts! Firstly, when it comes to fluid measurements, it’s good to remember that 1 gallon equals 4 quarts, 1 quart equals 4 cups, and 1 pint equals 2 cups! So, for example, 5 cups is actually equal to 2.5 pints – making that first comparison false. Now, if we look at the second comparison 4 gallons \( <50 \) cups. Since 4 gallons equals 64 cups, this statement is also false. You can have fun measuring by converting different volumes and comparing sizes! It’s a bit like being a scientist in your kitchen! Let's sort through the rest: 3 pints is less than 3 quarts (true!), as a quart contains 2 pints. And when we check 7 quarts \( <30 \) cups, this holds true because 7 quarts translates to 28 cups! Finally, 2 gallons \( <10 \) quarts is untrue as 2 gallons is equal to 8 quarts. So, there you have it: only the 3 pints \( > 3 \) quarts and 7 quarts \( < 30 \) cups are comparisons that are true. Now you can impress your friends with your knowledge of conversions! Always good to keep those measurements in check!