The handwritten signs indicate that a piece of pie costs $.10\cancel{c}$ and a cup of coffee costs $.5\cancel{c}$. Assuming these are the actual prices, how many pieces of pie can you get for $\$ 1.00$?

Identify each number as rational or irrational. (a) $\sqrt{10}$ (b) $\sqrt{16}$ ($\text{}$c) $0.01$ (d) $0 . \overline{01}$ (e) $0.0101101110 \ldots$ (f) $\pi$

Use a calculator to find a rational decimal approximation for $\sqrt{15.1}$. Give as many places as your calculator shows.

The handwritten signs indicate that a piece of pie costs $.10\cancel{c}$ and a cup of coffee costs $.5\cancel{c}$. Assuming these are the actual prices, how much will $20$ pieces of pie and $10$ cups of coffee cost?

Use a calculator to find a rational decimal approximation for $\sqrt{44}$. Give as many places as your calculator shows.

The approximate speed of an automobile in miles per hour $(\text{MPH})$ can be found in terms of the engine's revolutions per minute $(\text{rpm})$, the tire diameter in inches, and the overall gear ratio by the formula

$$\text { MPH }=\frac{\text { rpm } \times \text { tire diameter }}{\text { gear ratio } \times 336}.$$

If a certain automobile has an rpm of $5600$, a tire diameter of $26$ inches, and a gear ratio of $3.12$, what is its approximate speed $(\text{MPH})$?

Perform the indicated operations, using the order of operations as necessary.

$$12-(-3)-(-5)$$

Convert each decimal into a quotient of integers, reduced to lowest terms. (a) $0.72$ (b) $0 . \overline{58}$

The handwritten signs indicate that a piece of pie costs $.10\cancel{c}$ and a cup of coffee costs $.5\cancel{c}$. Assuming these are the actual prices, how much will $10$ pieces of pie and $10$ cups of coffee cost?

Convert each rational number into a repeating or terminating decimal. Use a calculator if your instructor so allows. (a) $\frac{9}{20}$ (b) $\frac{5}{12}$

Use a calculator to find a rational decimal approximation for $\sqrt{39}$. Give as many places as your calculator shows.

The Blood Alcohol Concentration (BAC) of a person who has been drinking is given by the formula

$$\begin{aligned} \text { BAC }=& \frac{\text { (ounces } \times \text { percent alcohol } \times 0.075)}{\text { body weight in } \mathrm{lb}}-(\text { hours of drinking } \times 0.015). \end{aligned}$$

Suppose a policeman stops a $190$-pound man who, in two hours, has ingested four $12$-ounce beers, each having a $3.2$ percent alcohol content. The formula would then read

$$\text { BAC }=\frac{[(4 \times 12) \times 3.2 \times 0.075]}{190}-(2 \times 0.015).$$

(a) Find this BAC. (b) Find the BAC for a $135$-pound woman who, in three hours, has drunk three $12$-ounce beers, each having a $4.0$ percent alcohol content.

(a) Find the sum.

$$\begin{array}{r} 0.010110111011110 \ldots \\ +0.252552555255552 \ldots \\ \hline \end{array}$$

(b) Based on the result of part (a), we can conclude that the sum of two $\underline{\qquad\qquad}$ numbers may be a(n) $\underline{\qquad\qquad}$ number.

Perform the indicated operations, using the order of operations as necessary.

$$-9+16+5$$