Midterm Review Part 2-Calculator (Regular)

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What is an equivalent ratio?

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An equivalent ratio is a ratio that expresses the same relationship between two quantities, even if the numbers are different. For example, 5:8 and 15:24 are equivalent ratios.

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How do you find an equivalent ratio using multiplication?

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To find an equivalent ratio using multiplication, multiply both terms of the ratio by the same non-zero number. For example, for the ratio 5:8, multiplying both by 3 gives 15:24.

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What is the formula to calculate a tip?

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To calculate a tip, multiply the total bill amount by the tip percentage (in decimal form). For example, for a $6.68 bill and a 23% tip, the tip is $6.68 x 0.23 = $1.54.

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How do you calculate the final price including sales tax?

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To calculate the final price including sales tax, multiply the original price by the sales tax rate (in decimal form) and add it to the original price. For example, for a $990 TV with 9% tax, the final price is $990 + ($990 x 0.09) = $1,079.10.

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What is the formula to find the speed of an object?

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The formula to find speed is: Speed = Distance / Time. For example, if a car travels 420 miles in 8 hours, its speed is 420 miles / 8 hours = 52.5 miles per hour.

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How do you determine how far an object will travel at a constant speed?

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To determine how far an object will travel at a constant speed, multiply the speed by the time. For example, if a car travels at 52.5 miles per hour for 12 hours, it will travel 52.5 x 12 = 630 miles.

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What is a percentage?

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A percentage is a way of expressing a number as a fraction of 100. It is often used to describe how much of something there is compared to the whole.

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How do you convert a percentage to a decimal?

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To convert a percentage to a decimal, divide the percentage by 100. For example, 23% as a decimal is 23 / 100 = 0.23.

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What is the relationship between ratios and fractions?

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Ratios can be expressed as fractions. For example, the ratio 5:8 can be written as the fraction 5/8.

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What is the importance of understanding equivalent ratios?

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Understanding equivalent ratios is important for solving problems involving proportions, scaling, and comparing quantities.