Chapter 2: Q13. (page 66)
Identify the property that the statement illustrates.
Short Answer
The statementrepresents the Commutative property of Multiplication.
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Chapter 2: Q13. (page 66)
Identify the property that the statement illustrates.
The statementrepresents the Commutative property of Multiplication.
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Perform the indicated operation.
Challenge The problem below is a variation of one that appears in the ancient Chinese text Nine Chapters on the Mathematical Art. (In the problem, a tou is a Chinese unit of measure.)
A goat, a horse, and a cow mistakenly enter a farmer’s wheat field and eat some stalks of wheat. The horse eats twice as many stalks as the goat, and the cow eats twice as many stalks as the horse. The farmer demands 5 tou of wheat from the owners of the animals to replace what was eaten. How much wheat should be replaced by the goat’s owner? by the horse’s owner? by the cow’s owner?
a. Let x be the amount of wheat (in tou) that should be replaced by the goat’s owner. What is an expression in terms of x for the amount that should be replaced by the horse’s owner? by the cow’s owner?
b. Write and solve an equation to find x. To the nearest tenth of a tou, how much wheat should be replaced by each animal’s owner?
Use the distributive property to evaluate the expression.
What is the coefficient of y in the expression
Astronomy Cepheid stars appear to pulsate because they expand and contract in size. In its contracted phase, the Cepheid star Zeta Geminorum is 51 million miles across. This is 5 million miles less than the star’s distance across in its expanded phase. Find the distance across Zeta Geminorum in its expanded phase.
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