Beginning Algebra, 11th Edition

35.A baseball diamond is a square with a
side of 90 ft. The pitcher’s mound is
located 60.5 ft from home plate, as
shown in the figure. Find the measures
of the angles marked in the figure.
(Hint:Recall that the sum of the meas-
ures of the angles of any triangle is
180°.)

2.6 Give a ratio for each word phrase, writing fractions in lowest terms.

36.60 cm to 40 cm 37.5 days to 2 weeks 38.90 in. to 10 ft

Solve each equation.

Solve each problem.

41.The tax on a $24.00 item is $2.04. How much tax would be paid on a $36.00 item?

42.The distance between two cities on a road map is 32 cm. The two cities are actually
150 km apart. The distance on the map between two other cities is 80 cm. How far apart
are these cities?

43.In the 2008 Olympics in Beijing, China, Japanese athletes earned 25 medals. Two of every
5 medals were bronze. How many bronze medals did Japan earn? (Source: World Almanac
and Book of Facts.)

44.Find the best buy. Give the unit price to the nearest thousandth for
that size. (Source:Cub Foods.)

5 +x

3

=

2 - x

6

p

21

=

5

30

CHAPTER 2 Review Exercises 169

90 ft

Home plate

Pitcher's

mound

60.5 ft

45 °

(3x + 2.8)°

(x + 12.2)°

CEREAL

Size Price

15 oz $2.69

20 oz $3.29

25.5 oz $3.49

45.What is 8% of 75?

46.What percent of 12 is 21?

47.36% of what number is 900?

2.7 Solve each problem.

48.A nurse must mix 15 L of a 10% solution of a drug with some 60% solution to obtain a
20% mixture. How many liters of the 60% solution will be needed?

49.Robert Kay invested $10,000, from which he earns an annual income of $550 per year.
He invested part of the $10,000 at 5% annual interest and the remainder in bonds paying
6% interest. How much did he invest at each rate?

50.In 1846, the vessel Yorkshiretraveled from Liverpool to New York, a distance of 3150 mi,
in 384 hr. What was the Yorkshire’saverage rate? Round your answer to the nearest tenth.

51.Janet Hartnett drove from Louisville to Dallas, a distance of 819 mi, averaging 63 mph.
What was her driving time?

52.Two planes leave St. Louis at the same time. One flies north at 350 mph and the other
flies south at 420 mph. In how many hours will they be 1925 mi apart?

2.8 Write each inequality in interval notation, and graph it.

53.xÚ- 4 54.x 67 55.- 5 ...x 66