1 Foundations 2 Solving Linear Equations 3 Graphs And Functions 4 Systems Of Linear Equations 5 Polynomials And Polynomial Functions 6 Factoring 7 Rational Expressions And Functions 8 Roots And Radicals 9 Quadratic Equations And Functions 10 Exponential And Logarithmic Functions 11 Conics 12 Sequences, Series And Binomial Theorem Chapter7: Rational Expressions And Functions
7.1 Multiply And Divide Rational Expressions 7.2 Add And Subtract Rational Expressions 7.3 Simplify Complex Rational Expressions 7.4 Solve Rational Equations 7.5 Solve Applications With Rational Equations 7.6 Solve Rational Inequalities Chapter Questions Section7.5: Solve Applications With Rational Equations
Problem 7.85TI: Solve the proportion: yy+55=38 . Problem 7.86TI: Solve the proportion: zz84=15 . Problem 7.87TI: Pediatricians prescribe 5 milliliters (ml) of acetaminophen for every 25 pounds of a child’s weight.... Problem 7.88TI: For every 1 kilogram (kg) of a child’s weight, pediatricians prescribe 15 milligrams (mg) of a fever... Problem 7.89TI: Find the actual distance from Seattle to Portland. Problem 7.90TI: Find the actual distance from Portland to Boise. Problem 7.91TI: A telephone pole casts a shadow that is 50 feet long. Nearby, an 8 foot tall traffic sign casts a... Problem 7.92TI: A pine tree casts a shadow of 80 feet next to a 30 foot tall building which casts a 40 feet shadow.... Problem 7.93TI: Link can ride his bike 20 miles into a 3 mph headwind in the same amount of time he can ride 30... Problem 7.94TI: Danica can sail her boat 5 miles into a 7 mph headwind in the same amount of time she can sail 12... Problem 7.95TI: Dennis went cross-country skiing for 6 hours on Saturday. He skied 20 mile uphill and then 20 miles... Problem 7.96TI: Joon drove 4 hours to his home, driving 208 miles on the interstate and 40 miles on country roads.... Problem 7.97TI: Kayla rode her bike 75 miles home from college one weekend and then rode the bus back to college. It... Problem 7.98TI: Victoria jogs 12 miles to the park along a flat trail and then returns by jogging on an 20 mile... Problem 7.99TI: One gardener can mow a golf course in 4 hours, while another gardener can mow the same golf course... Problem 7.100TI: Daria can weed the garden in 7 hours, while her mother can do it in 3. How long will it take the two... Problem 7.101TI: Alice can paint a room in 6 hours. If Kristina helps her it takes them 4 hours to paint the room.... Problem 7.102TI: Tracy can lay a slab of concrete in 3 hours, with Jordan’s help they can do it in 2 hours. If Jordan... Problem 7.103TI: The number of calories, c, burned varies directly with the amount of time, t, spent exercising.... Problem 7.104TI: The distance a moving body travels, d, varies directly with time, t, it moves. A train travels 100... Problem 7.105TI: The number of hours it takes for ice to melt varies inversely with the air temperature. Suppose a... Problem 7.106TI: Xander’s new business found that the daily demand for its product was inversely proportional to the... Problem 253E: In the following exercises, solve each proportion. 253. x56=78 Problem 254E: In the following exercises, solve each proportion. 254. 5672=y9 Problem 255E: In the following exercises, solve each proportion. 255. 98154=7p Problem 256E: In the following exercises, solve each proportion. 256. 72156=6q Problem 257E: In the following exercises, solve each proportion. 257. aa+12=47 Problem 258E: In the following exercises, solve each proportion. 258. bb16=119 Problem 259E: In the following exercises, solve each proportion. 259. m+9025=m+3015 Problem 260E: In the following exercises, solve each proportion. 260. n+104=40n6 Problem 261E: In the following exercises, solve each proportion. 261. 2p+48=p+186 Problem 262E: In the following exercises, solve each proportion. 262. q22=2q718 Problem 263E: In the following exercises, solve. 263. Kevin wants to keep his heart rate at 160 beats per minute... Problem 264E: In the following exercises, solve. 264. Jesse’s car gets 30 miles per gallon of gas. (a) If Las... Problem 265E: In the following exercises, solve. 265. Pediatricians prescribe 5 milliliters (ml) of acetaminophen... Problem 266E: In the following exercises, solve. 266. A veterinarian prescribed Sunny, a 65-pound dog, an... Problem 267E: In the following exercises, solve. 267. A new energy drink advertises 106 calories for 8 ounces. How... Problem 268E: In the following exercises, solve. 268. One 12-ounce can of soda has 150 calories. If Josiah drinks... Problem 269E: In the following exercises, solve. 269. Kyra is traveling to Canada and will change $250 US dollars... Problem 270E: In the following exercises, solve. 270. Maurice is traveling to Mexico and needs to exchange $450... Problem 271E: In the following exercises, solve. 271. Ronald needs a morning breakfast drink that will give him at... Problem 272E: In the following exercises, solve. 272. Sonya drinks a 32-ounce energy drink containing 80 calories... Problem 273E: In the following exercises, solve. 273. Phil wants to fertilize his lawn. Each bag of fertilizer... Problem 274E: In the following exercises, solve. 274. An oatmeal cookie recipe calls for 12 cup of butter to make... Problem 275E: In the following exercises, the triangles are similar. Find the length of the indicated side. 275.... Problem 276E: In the following exercises, the triangles are similar. Find the length of the indicated side. 276.... Problem 277E: In the following exercises, use the map shown. On the map, New York City, Chicago, and Memphis form... Problem 278E: In the following exercises, use the map shown. On the map, New York City, Chicago, and Memphis form... Problem 279E: In the following exercises, use the map shown. On the map, Atlanta, Miami, and New Orleans form a... Problem 280E: In the following exercises, use the map shown. On the map, Atlanta, Miami, and New Orleans form a... Problem 281E: In the following exercises, answer each question. 281. A 2-foot-tall dog casts a 3-foot shadow at... Problem 282E: In the following exercises, answer each question. 282. Larry and Tom were standing next to each... Problem 283E: In the following exercises, answer each question. 283. The tower portion of a windmill is 212 feet... Problem 284E: In the following exercises, answer each question. 284. The height of the Statue of Liberty is 305... Problem 285E: In the following exercises, solve the application problem provided. 285. Mary takes a sightseeing... Problem 286E: In the following exercises, solve the application problem provided. 286. A private jet can fly 1,210... Problem 287E: In the following exercises, solve the application problem provided. 287. A boat travels 140 miles... Problem 288E: In the following exercises, solve the application problem provided. 288. Darrin can skateboard 2... Problem 289E: In the following exercises, solve the application problem provided. 289. Jane spent 2 hours... Problem 290E: In the following exercises, solve the application problem provided. 290. Laney wanted to lose some... Problem 291E: In the following exercises, solve the application problem provided. 291. Byron wanted to try out... Problem 292E: In the following exercises, solve the application problem provided. 292. Nancy took a 3-hour drive.... Problem 293E: In the following exercises, solve the application problem provided. 293. Chester rode his bike... Problem 294E: In the following exercises, solve the application problem provided. 294. Matthew jogged to his... Problem 295E: In the following exercises, solve the application problem provided. 295. Hudson travels 1080 miles... Problem 296E: In the following exercises, solve the application problem provided. 296. Nathan walked on an asphalt... Problem 297E: In the following exercises, solve the application problem provided. 297. John can fly his airplane... Problem 298E: In the following exercises, solve the application problem provided. 298. Jim’s speedboat can travel... Problem 299E: In the following exercises, solve the application problem provided. 299. Hazel needs to get to her... Problem 300E: In the following exercises, solve the application problem provided. 300. Stu trained for 3 hours... Problem 301E: In the following exercises, solve the application problem provided. 301. When driving the 9-hour... Problem 302E: In the following exercises, solve the application problem provided. 302. Two sisters like to compete... Problem 303E: In the following exercises, solve the application problem provided. 303. Dana enjoys taking her dog... Problem 304E: In the following exercises, solve the application problem provided. 304. Ken and Joe leave their... Problem 305E: Mike, an experienced bricklayer, can build a wall in 3 hours, while his son, who is learning, can do... Problem 306E: It takes Sam 4 hours to rake the front lawn while his brother, Dave, can rake the lawn in 2 hours.... Problem 307E: Mia can clean her apartment in 6 hours while her roommate can clean the apartment in 5 hours. If... Problem 308E: Brian can lay a slab of concrete in 6 hours, while Greg can do it in 4 hours. If Brian and Greg work... Problem 309E: Josephine can correct her students test papers in 5 hours, but if her teacher’s assistant helps, it... Problem 310E: Washing his dad’s car alone, eight year old Levi takes 2.5 hours. If his dad helps him, then it... Problem 311E: At the end of the day Dodie can clean her hair salon in 15 minutes. Ann, who works with her, can... Problem 312E: Ronald can shovel the driveway in 4 hours, but if his brother Donald helps it would take 2 hours.... Problem 313E: In the following exercises, solve. 313. If y varies directly as x and y=14 , when x=3 . find the... Problem 314E: In the following exercises, solve. 314. If a varies directly as b and a=16 , when b=4 . find the... Problem 315E: In the following exercises, solve. 315. If p varies directly as q and p=9.6 , when q=3 . find the... Problem 316E: In the following exercises, solve. 316. If v varies directly as w and v=8 , when w=12 . find the... Problem 317E: In the following exercises, solve. 317. The price, P, that Eric pays for gas varies directly with... Problem 318E: In the following exercises, solve. 318. Joseph is traveling on a road trip. The distance, d, he... Problem 319E: In the following exercises, solve. 319. The mass of a liquid varies directly with its volume. A... Problem 320E: In the following exercises, solve. 320. The length that a spring stretches varies directly with a... Problem 321E: In the following exercises, solve. 321. The maximum load a beam will support varies directly with... Problem 322E: In the following exercises, solve. 322. The area of a circle varies directly as the square of the... Problem 323E: In the following exercises, solve. 323. If y varies inversely with x and y=5 when x=4 , find the... Problem 324E: In the following exercises, solve. 324. If p varies inversely with q and p=2 when q=1 , find the... Problem 325E: In the following exercises, solve. 325. If v varies inversely with w and v=6 when w=12 , find the... Problem 326E: In the following exercises, solve. 326. If a varies inversely with b and a=12 when b=13 , find the... Problem 327E: In the following exercises, write an inverse variation equation to solve the following problems.... Problem 328E: In the following exercises, write an inverse variation equation to solve the following problems.... Problem 329E: In the following exercises, write an inverse variation equation to solve the following problems.... Problem 330E: In the following exercises, write an inverse variation equation to solve the following problems.... Problem 331E: In the following exercises, write an inverse variation equation to solve the following problems.... Problem 332E: In the following exercises, write an inverse variation equation to solve the following problems.... Problem 333E: In the following exercises, write an inverse variation equation to solve the following problems.... Problem 334E: In the following exercises, write an inverse variation equation to solve the following problems.... Problem 335E: Marisol solves the proportion 144a=94 by ‘cross multiplying,’ so her first step looks like 4144=9a .... Problem 336E: Paula and Yuki are roommates. It takes Paula 3 hours to clean their apartment. It takes Yuki 4 hours... Problem 337E: In your own words, explain the difference between direct variation and inverse variation. Problem 338E: Make up an example from your life experience of inverse variation. Problem 7.92TI: A pine tree casts a shadow of 80 feet next to a 30 foot tall building which casts a 40 feet shadow....
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Concept explainers
A 6-foot-tall woman is standing 21 ft from a statue. She must look up at an angle of 45° to see the top of the statue. How tall is the statue?
3ft
27 ft
21 ft
18 ft
Figure in plane geometry formed by two rays or lines that share a common endpoint, called the vertex. The angle is measured in degrees using a protractor. The different types of angles are acute, obtuse, right, straight, and reflex.
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