Chapter 5

Given a \(=-2.21, c=3.3\), and \(d=0.5\), evaluate and simplify the following expression. $$ \frac{a-c}{d^{2}} $$

In Napa Valley, one acre of good land can produce about \(3.5\) tons of quality grapes. At an average price of \(\$ 3,414\) per ton for premium cabernet, how much money could you generate on one acre of cabernet farming? Associated Press-Times-Standard 03/11/10 Grape moth threatens Napa Valley growing method.

Given \(\mathrm{a}=2.8, \mathrm{c}=-14.68\), and \(\mathrm{d}=0.5\), evaluate and simplify the following expression. $$ \frac{a-c}{d^{2}} $$

Using the 2008 Ohio Farm Custom Rates, the average cost for spreading dry bulk fertilizer is about \(\$ 4.50\) per acrè. What is the c?st to fertilizè 50 acrees?

Given \(\mathrm{a}=-5.8, \mathrm{~b}=10.37, \mathrm{c}=4.8\), and \(\mathrm{d}=5.64\), evaluate and simplify the following expression: $$ \frac{a-b}{c-d} $$

Huge corporate agribarns house 1000 pigs each. a) If each pig weighs approximately 100 pounds, how many pounds of pig is in each warehouse? b) At an average \(\$ 1.29\) per pound, what is the total cash value for a corporate agribarn? Associated Press-TimesStandard 12/29/09 Pressure rises to stop antibiotics in agriculture.

Given \(a=-10.79, b=3.94, c=-3.2\), and \(d=-8.11\), evaluate and simplify the following expression: $$ \frac{a-b}{c-d} $$

A dozen centuries-old shipwrecks were found in the Baltic Sea by a gas company building an underwater pipeline between Russia and Germany. The 12 wrecks were found in a 30-mile-long and \(1.2\) -mile-wide corridor at a depth of 430 feet. Model the corridor with a rectangle and find the approximate area of the region where the ships were found. Associated Press-Times-Standard 03/10/10 Centuries-old shipwrecks found in Baltic Sea.

Given \(\mathrm{a}=-1.5, \mathrm{~b}=4.7, \mathrm{c}=18.8\), and \(\mathrm{d}=-11.75\), evaluate and simplify the following expression. $$ \frac{a b-c}{d} $$

The diameter of the "workhorse fleet" of radio telescopes, like the one in Goldstone, California, is 230 feet. What is the circumference of the radio telescope dish to the nearest tenth? Associated Press-Times-Standard 03/09/2010 NASA will repair deep space antenna in California desert.

Given \(\mathrm{a}=9.3, \mathrm{~b}=6.6, \mathrm{c}=14.27\), and \(\mathrm{d}=0.2\), evaluate and simplify the following expression. $$ \frac{a b-c}{d} $$

There are about 180 biodiesel plants operating in about 40 states. Of the states that have them, what is the average number of biodiesel plants per state? Associated Press-Times-Standard 01/02/10 Fledgling biofuel industry ends year on a dour note.

A fungus called ”white-nose syndrome” has killed an estimated 500,000 bats throughout the country. This means about 2,400,000 pounds of bugs aren’t eaten over the year, says Forest Service biologist Becky Ewing. How many pounds of insects does an average bat eat annually? Associated Press-Times-Standard 5/2/09

In the U.S. Patent and Trademark Office, 6000 examiners have a backlog of 770,000 new, unexamined applications for patents. How many applications is that for each examiner to catch up on? Round your answer to the nearest tenth. Associated Press-Times-Standard 5/5/09

The large health insurer Wellpoint, Inc., owner of Anthem Blue Cross, earned $536 million in the last three months of 2009. What was the average earnings per month for the insurer over that period? Round to the nearest million. Associated Press-Times-Standard 02/09/10 HHS secretary asks Anthem Blue Cross to justify rate hike.

The Pentagon has spent $100 million over a six-month period responding to and repairing damage from cyber-attacks and other computer network problems. What’s the average amount of money spent per month over that time? Round your answer to the nearest hundredth of a million. Associated Press-Times-Standard 4/19/09

The average California cow can produce 2,305 gallons of milk annually. How much milk can a cow produce each day? Round your answer to the nearest hundredth of a gallon. www.moomilk.com/faq.htm

To promote her business, Theresa mails several packages via Media Mail. One package weighing 2 lbs. costs \(2.77, another package weighing 3 lbs. costs \)3.16, and the third package weighing 5 lbs. costs $3.94 to mail. What was the average cost per pound to mail the packages? Round your result to the nearest penny. www.usps.com/prices/media-mailprices.htm