Problem 74
Evaluate each of the following expressions, if possible. $$18-10[9-5(4-1)]$$
Problem 76
In Exercises \(73-84\), evaluate the given expression. $$7-3(5-1)$$
Problem 78
Factor the given number into its prime factors. If the number is prime, say so. $$165$$
Problem 80
Evaluate the given expression. Remember to follow the order of operations. $$48 \div(12 \div 4)$$
Problem 82
Evaluate the given expression. Remember to follow the order of operations. $$32+16 \div 8-6$$
Problem 84
In Exercises \(75-86,\) solve the problem by writing a sum of signed numbers and adding. A music recording company begins a month with an inventory of \(16,430\) compact discs (CDs). Suppose that we represent CDs that are shipped as negative numbers and those received as positive numbers. The company records the following transactions during the month: \(-1,800,-465,73,92,128,-166,\) and \(-2,750 .\) What is the company's inventory at the end of the month?
Problem 85
Evaluate the given expression. Remember to follow the order of operations. $$\frac{18-4 \cdot 2}{13-4 \cdot 2}$$
Problem 86
On a certain day the maximum temperature was \(12^{\circ} \mathrm{C},\) and the minimum temperature was \(-5^{\circ} \mathrm{C} .\) By how many degrees did the temperature vary on this day?
Problem 88
A helicopter is hovering at an altitude of 600 ft above sea level directly above a submarine that is submerged at a depth of 128 ft below sea level. What is the distance between the helicopter and the submarine?
Problem 89
Evaluate the given expression. Remember to follow the order of operations. $$\frac{5 \cdot 2+3 \cdot 4+6 \cdot 3}{4 \cdot 5+2 \cdot 6+4 \cdot 2}$$