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Problem 90

In Exercises \(89-92,\) express each sentence as a single numerical expression. Then use the order of operations to simplify the expression. Cube \(-5 .\) Subtract this exponential expression from \(-100 .\)

Problem 91

Determine whether each statement 鈥渕akes sense鈥 or 鈥渄oes not make sense鈥 and explain your reasoning. I did not use the distributive property to simplify \(3(2 x+5 x)\)

Problem 91

Write each English phrase as an algebraic expression. Then simplify the expression. Let x represent the number. The difference between 6 times a number and \(-5\) times the number.

Problem 91

Determine whether the given number is a solution of the equation. $$\frac{7}{2} x=28 ; 8$$

Problem 91

Determine whether natural numbers, whole numbers, integers, rational numbers, or all real numbers are appropriate for each situation. Values of \(d\) given by the formula \(d=\sqrt{1.5 h},\) where \(d\) is the distance, in miles, that you can see to the horizon from a height of \(h\) feet

Problem 91

Simplify each algebraic expression. $$-3(-2 x+4)$$

Problem 91

Writing about mathematics will help you to learn mathematics. For all writing exercises in this book, use complete sentences to respond to the questions. Some writing exercises can be answered in a sentence; others require a paragraph or two. You can decide how much you need to write as long as your writing clearly and directly answers the question in the exercise. Standard references such as a dictionary and a thesaurus should be helpful. Explain how to evaluate \(2+5 x\) for \(x=3\)

Problem 91

In Exercises \(89-92,\) express each sentence as a single numerical expression. Then use the order of operations to simplify the expression. Subtract 10 from \(7 .\) Multiply this difference by \(2 .\) Square this product.

Problem 92

Determine whether the given number is a solution of the equation. $$\frac{5}{3} x=30 ; 18$$

Problem 92

Determine whether each statement 鈥渕akes sense鈥 or 鈥渄oes not make sense鈥 and explain your reasoning. The commutative, associative, and distributive properties remind me of the rules of a game.

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