Exam 1: Basic Concepts

Five pieces of sheet metal have been cut to form a container. The five pieces are of sizes $25 \times 15$ , $15 \times 19$ , $25 \times 19$ , $25 \times 19$ and $15 \times 19$ (all in inches). What is the total area of all five pieces?

Air flows through a metal duct at 2,880 cubic feet per minute (CFM). Find this airflow in cubic feet per second.

What must be filled in the blank to make the statement true? 60 ft = _____yd

Tell whether the number below is prime. $13$

The septic tank that exists on the property is $6$ ft $\times 3$ ft $\times 3$ ft deep. How many gallons of water will this tank hold? (Water weights 62.4 lb/ $\mathrm { ft } ^ { 3 }$ ,  and 1 gal of water weights 8.34 lb).

Change the common fraction to a decimal. $\frac { 55 } { 16 }$

Test the divisibility of the first number by the second number. $46$ ; $2$

Simplify the fraction. $\frac { 22 } { 33 }$

The total resistance in a series circuit is equal to the sum of the resistances in the circuit. Find the total resistance in the series circuit.

Change the decimal to a percent. 4.89

Find the monthly payment for the loan. Finance $450,000 for an apartment complex with a 8.5% 30-year loan

Change the common fraction to a decimal. $\frac { 4 } { 25 }$

To replace some damaged ductwork, $16$  linear feet of $8 \mathrm { in } \times 17 \mathrm { in } .$ duct is needed. The cost is $ $11$ per four linear feet. What is the cost of replacement?

Find the volume of the rectangular solid.

Change the percent to a mixed number in lowest terms. 405%

Find the prime factorization of the number below (use the divisibility tests where helpful). $72$

Perform the indicated operation. $51.7 - 1.39 - 4.8 + 84.6$

To give $840$ mg of quinine sulfate from $140$ -mg tablets, how many tablets would you use?

Find the power rounded to three significant digits. $0.071 ^ { 3 }$

Add.  $364$   $261$   $187$   $692$