Gwynedd's piggy bank contains 57 quarters, 24 dimes, 35 nickels, and 60 pennies. Gwynedd turns her piggy bank over and one coin falls out. What is the probability that the coin will be worth more than 5 cents?

What is the probability that the coin is a quarter or worth more than 5 cents?

Verify that $3 g h \sqrt{275 g^7 h^9}$ can be simplified to $15 g^4 h^5 \sqrt{11 g h}$.

A manufacturing company is making screws that have a width of 4 millimeters. Each screw must be made so that the actual width is $\pm 0.03$ millimeters of the desired width. Write a compound inequality to represent this situation.

A tsunami is a big ocean wave that can be caused by underwater volcanic eruptions, earthquakes, or hurricanes. The equation $S=\sqrt{g \cdot d}$ models the speed of a tsunami, where g is the acceleration due to gravity, which is 9.8 meters/second$^2$, and where d is the depth of the ocean in meters.

Suppose a tsunami begins in the ocean at a depth of 2000 meters. What is the speed of the tsunami?

A tsunami is a big ocean wave that can be caused by underwater volcanic eruptions, earthquakes, or hurricanes. The equation $S=\sqrt{g \cdot d}$ models the speed of a tsunami, where g is the acceleration due to gravity, which is 9.8 meters/second$^2$, and where d is the depth of the ocean in meters.

Suppose a tsunami begins in the ocean at a depth of 1000 meters. What is the speed of the tsunami?

Physicians can estimate the body surface area of an adult (in square meters) using the formula $x=\sqrt{\frac{H W}{3125}}$ called BSA, where H is height in inches and W is weight is pounds. Find the BSA of a person who is $\sqrt{5184}$ inches tall and weighs $\sqrt{32,400}$ pounds. Round to the nearest whole number.

The heat index displays apparent air temperatures in relation to the actual air temperature. The table shows the apparent air temperature for different humidity lévels given that the actual air temperature is $85 ^ { \circ } .$

$$\begin{matrix} \text{Humidity Level (percent)} & \text{10} & \text{20} & \text{30} & \text{40} & \text{50} & \text{60} & \text{70} & \text{80} & \text{90} & \text{100}\\ \text{Apparent Air Temperature F} & \text{80} & \text{82} & \text{84} & \text{86} & \text{88} & \text{90} & \text{93} & \text{97} & \text{102} & \text{108}\\ \end{matrix}$$

a. Use the data to make a scatter plot. b. Do the data values show a positive correlation, a negative correlation, or no correlation?

Physicians can estimate the body surface area of an adult (in square meters) using the formula $x = \sqrt { \frac { H W } { 3125 } }$ called BSA, where H is height in inches and W is weight is pounds. Find the BSA of a person who is $\sqrt { 5184 }$ inches tall and weighs $\sqrt { 32,400 }$ pounds. Round to the nearest whole number.

The sum of Kaleigh and Dwayne's ages is 30. Three times Kaleigh's age minus twice Dwayne's age equals 5. How old is César if he is five years younger than Kaleigh?

In 1947, Mount Locke, Texas, had 23.5 inches of snow-its greatest yearly snowfall. The greatest monthly snowfall recorded was 20.5 inches, which occurred in January, 1958. Since the record wasn't broken in 1958, how many more inches of snow could Mount Locke, Texas, have had that year?

A new exercise facility recently opened up. Its initial promotional rate for new members, represented by y = $20 +$6x, includes a monthly fee plus an additional amount for x services.

How many services do new members receive before paying the same amount as a regular fee of $32?

A new exercise facility recently opened up. Its initial promotional rate for new members, represented by y = $20 +$6x, includes a monthly fee plus an additional amount for x services.

Classify the system of equations for the promotional and regular facility rates.

A window guard is designed to be placed directly into windows that are 27 inches wide. The guard can be compressed or expanded with a tension spring to fit windows that are three inches narrower or wider than the standard width. Write and solve an absolute-value equation for the maximum and minimum width of windows in which the guard is designed to fit.

Find two radical expressions that when multiplied together equal a perfect square.