Chapter 1

If 108 tons of rail is needed for 1 mi of track, how many tons will be required for \(476 \mathrm{mi},\) and what will be its cost at \(\$ 925\) a ton?

Determine the number of significant digits in each approximate number. $$5000.0$$

Evaluate each expression. Retain the proper number of significant digits in your answer. Powers by Calculator. $$(1.35)^{5}$$

A batch of concrete is made by mixing \(267 \mathrm{kg}\) of stone, \(125 \mathrm{kg}\) of sand, \(75.5 \mathrm{kg}\) of cement, and \(25.25 \mathrm{kg}\) of water. Find the total weight of the mixture.

Combined Operations with Exact Numbers. Perform each computation by calculator. $$\sqrt[4]{\frac{1136}{71}}$$

Find: $$33.3 \% \text { of } 662 \mathrm{kg}$$

Convert each number from scientific notation to decimal notation. $$9 \times 10^{4}$$

Reciprocals Find the reciprocal of each number, retaining the proper number of digits in your answer. $$4.992$$

Three barges carry 26.0 tons of gravel each, and a fourth carries 35.0 tons. What is the value, to the nearest dollar, of the whole shipment, at \(\$ 12.75\) per ton?

Determine the number of significant digits in each approximate number. $$0.9972$$

Evaluate each expression. Retain the proper number of significant digits in your answer. Powers by Calculator. $$(2.26)^{6}$$

Three resistors, having values of 27.3 ohms \((\Omega), 4.0155 \Omega,\) and \(9.75 \Omega,\) are wired in series. What is the total resistance? (See Eq. 1062 which says that the total series resistance is the sum of the individual resistances.)

Combined Operations with Exact Numbers. Perform each computation by calculator. $$\sqrt{961}+\sqrt{121}$$

Find: \(12.5 \%\) of 72.0 gal.

Convert each number from scientific notation to decimal notation. $$9.05 \times 10^{4}$$

Convert between the given customary and metric units. 2.55 horsepower to kilowatts.

Reciprocals Find the reciprocal of each number, retaining the proper number of digits in your answer. $$-6.93$$

What will be the cost of installing a telephone line \(274 \mathrm{km}\) long, at \(\$ 5723\) per kilometer?

Determine the number of significant digits in each approximate number. $$1.0000$$

Evaluate each expression. Retain the proper number of significant digits in your answer. Powers by Calculator. $$(1.94)^{7}$$

Convert each number from scientific notation to decimal notation. $$3.667 \times 10^{-3}$$

Combined Operations with Exact Numbers. Perform each computation by calculator. $$\sqrt[4]{625}+\sqrt{961}-\sqrt[3]{216}$$

Find: \(35.0 \%\) of 343 liters.

Convert between the given customary and metric units. \(4.66 \mathrm{U.S.}\) gallons to liters.

A stretch of roadway \(1858.54 \mathrm{m}\) long is to be divided into 5 equal sections. Find the length of each section.

The current to a projection lamp is measured at 4.7 A when the line voltage is \(115.45 \mathrm{V} .\) Using (power \(=\) voltage \(\times\) current), find the power dissipated in the lamp.

Evaluate each expression. Retain the proper number of significant digits in your answer. Negative Base. $$(-3)^{3}$$

Determine the number of decimal places in each approximate number. $$39.5$$

Convert each number to engineering notation. $$34,382$$

Combined Operations with Exact Numbers. Perform each computation by calculator. $$\sqrt[4]{256} \times \sqrt{49}$$

Find: $$50.8 \% \text { of } \$ 245$$

At what rate must a person walk to \(80 \quad 24.5 \quad \mathrm{km}\) in \(12.75 \mathrm{h} ?\) (rate \(=\text { distance } \div \text { time })\)

A gear in a certain machine rotates at the speed of 1808 rev/min. How many lytions will it make in 9.500 min?

Evaluate each expression. Retain the proper number of significant digits in your answer. Negative Base. $$(-2)^{3}$$

Determine the number of decimal places in each approximate number. $$9.55$$

Convert each number to engineering notation. $$3.58 \times 10^{2}$$

Combined Operations with Approximate Numbers Perform each computation, keeping the proper number of digits in your answer. $$(7.37)(3.28)+(8.36)(2.64)$$

A resistance, now \(7250 \Omega\), is to be increased by \(15.0 \% .\) How much resistance should be added?

Convert between the given customary and metric units. 3.94 yards to meters.

If three masons can build \(245 \mathrm{ft}\) of wall in 4.50 days, how many feet of wall can one mason build in a day? Assume that each mason works at the same rate, and that the same length of wall is built each day.

How much will 1000 washers weigh if each weighs 2.375 g?

Determine the number of decimal places in each approximate number. $$5.882$$

Evaluate each expression. Retain the proper number of significant digits in your answer. Negative Base. $$(-4)^{3}$$

Convert each number to engineering notation. $$26,940$$

Combined Operations with Approximate Numbers Perform each computation, keeping the proper number of digits in your answer. $$(522)(9.53)-(586)(4.70)+(847)(7.59)$$

Convert between the given customary and metric units. 834 cubic centimeters to gallons.

If 867 shares of stock are valued at \(\$ 84,099,\) what is the value of each share?

One inch equals exactly \(2.54 \mathrm{cm} .\) Convert 385.84 in. to centimeters.

Determine the number of decimal places in each approximate number. $$193$$

Evaluate each expression. Retain the proper number of significant digits in your answer. Negative Base. $$(-3)^{1}$$