Solution manual of ch signed nubmer and powers of 10

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ISBN-13: 978-130510553-9 ISBN-10: 1-30510553-2

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Chapter 1: Basic Concepts

1.16: Applications Involving Percent: Business and Personal Finance 52

Chapter 2: Signed Numbers and Powers of 10

2.3: Multiplication and Division of Signed Numbers 65

Chapter 3: The Metric System

4.2: Precision and Greatest Possible Error 93

Chapter 5: Polynomials: An Introduction to Algebra

Chapter 7: Ratio and Proportion

Chapter 8: Graphing Linear Equations

9.2: Solving Pairs of Linear Equations by Addition 242 9.3: Solving Pairs of Linear Equations by Substitution 252 9.4: Applications Involving Pairs of Linear Equations 259

Chapter 10: Factoring Algebraic Expressions

10.2: Finding the Product of Two Binomials Mentally 279

Chapter 11: Quadratic Equations

11.3: Applications Involving Quadratic Equations 300

Chapter 13: Right Triangle Trigonometry

13.5: Applications Involving Trigonometric Ratios 379

14.2: Period and Phase Shift 388

Chapter 15: Basic Statistics

15.6: Other Average Measurements and Percentiles 427

Chapter 16: Binary and Hexadecimal Numbers

16.8: Addition and Subtraction of Hexadecimal Numbers 438

Appendices

Chapter 1: Basic Concepts

Section 1.1: Review of Basic Operations

209 in 75 in 134 in

134 in 2 67 in from either corner

One additional daylily is required at the end

of the planting so 35 1+ =36 daylilies are needed in total

58. 7 75 3 1575 × × = lb

44

E I R

24

E I R

69

8 ft 3 10 in 2 1 ft 2 in

96 in 3 10 in 2 14 in

96 in 30 in 28 in

60 gal 5 gal/drum 12 drums

Order size 12 drums 8 drums

b Each beef loin has two end cuts, so

2 12× =24 end cuts are available

75. 2 90 3 4 2 4× + × + × =180 12 8+ + =200items

76

Number of tables 10 12

22Tables per server 22 6

3 r 4Servers needed 4

8 3 4 2

8 3 2

8 62

8 6 4 8

14 4 8

56 864

8

( ) ( )

123 3 8 9 17

123 3 17 17

123 51 1789

16 4 7 8 3

16 4 15 3

16 60 373

18 17 12 9 7 16 4 2

35 21 112 6

735 67263

9 7 5 13

16 5 13

80 1393

5 21 12 3

105 4109

3 8 6 7 13 3 14

3 14 7 16 14

42 112 14

42 834

6 4 5 15 9 6

6 20 24 6

120 4124

228 4 7 6 8 6 2

228 4 13 8 4

228 52 32144

38 9 8 4 3 5 2

38 9 12 3 3

38 108 9137

3 68 674

8 21 21 7

8 1 70

+ ⋅

= + ⋅

= +

=

37

( )2 3 2

+ ⋅

⋅+

=

⋅+

6

2 2 2 2 2 2

Area of outer rectangle: 9 cm 12 cm 108 cmArea of inner rectangle: 6 cm 4 cm 24 cmTotal area: 84 cm

Area of outer rectangle: 8 in 8 in 64 inArea of inner rectangle: 5 in 5 in 25 inTotal area: 39 in

Area of left rectangle: 8 in 3 in 24 inArea of middle rectangle: 2 in 6 in 12 in

Area of right rectangle: 3 in 4 in 12 in

Area of upper rectangle: 2 in 6 in 12 inArea of middle rectangle: 6 in 2 in 12 inArea of lower rectangle: 2 in 6 in 12 inTotal area: 36 in

Area of upper rectangle: 3 in 6 in 24 inArea of lower rectangle: 7 in 4 in 28 inTotal area: 52 in

Area of outer rectangle: 30 cm 30 cm 900 cmArea of squares: 4 5 cm 5 cm 800 cmTotal area: 800 cm

48 in 36 in 1728 in

108

4 in 4 in 16 in

14 You must arrange the tiles so the 2 ft edges are along the 26 ft side, so there will be 26 ft 13

2 ft = tiles in that direction There will be 24 ft 6

4 ft = tiles along the other edge of the ceiling, so there will be a total of

13 6× =78 tiles

15

2 2 2

Area of ceiling: 12 ft 16 ft 192 ftArea of left/right walls: 2 8 ft 12 ft 192 ftArea of front/back walls: 2 8 ft 16 ft 256 ftTotal area:

needed

16 Since the area of a sheet of drywall is 4 ft 8 ft× =32 ft2 2 2

12,800 ft ÷32 ft =400 pieces of drywall will be needed

Area of upper rectangle: 24 ft 85 ft 2040 ftArea of lower rectangle: 19 ft 16 ft 304 ftTotal area: 2344 ftValue 2344 ft $110/ft $257,840

Area of upper rectangle: 28 ft 75 ft 2100 ftArea of lower left rectangle: 16 ft 26 ft 416 ftArea of lower right rectangle: 12 ft 24 ft 288 ftTotal area:

Volume of upper box: 6 cm 4 cm 5 cm 120 cmVolume of lower box: 6 cm 20 cm 5 cm 600 cmTotal Volume: 720 cm

Volume of left box: 3 cm 3 cm 18 cm 162 cmVolume of right box: 6 cm 15 cm 3 cm 270 cmTotal Volume: 432 cm

Volume of left box: 5 in 6 in 40 in 1200 inVolume of middle box: 25 in 6 in 10 in 1500 inVolume of right box: 5 in 6 in 40 in 1200 inTotal Volume:

24

3 3 3

Volume of left box: 8 ft 8 ft 20 ft 1280 ftVolume of middle box: 32 ft 8 ft 8 ft 2048 ftVolume of right box: 8 ft 20 ft 15 ft 2400 ftTotal Volume: 5728

37 The height of the cardboard sheet would be

16 in 9 in.+ =25 in and the width would

be 4 9 in 1 in.× + =37 in

38 The volume of the box is

3

16 in 9 in 9 in 1296 in× × = so

1296 in −450 in =846 in of peanuts are required

42

2 2 2

14, 40024600

V P R

E I R I

=

=

=

10

( )( )372 186696

36 cm 20 cm2

54 ft 30 ft2

188 m 220 m2

2

2

7 ft 9 ft

4 ft2

16 ft

4 ft2

120 cm

30 cm2

1200 m

250 m2

E I Z I

47 in0.785 2.98 in

6.742 in

V l cd l

Area of left rectangle: 55 ft 120 ft 6600 ftArea of middle rectangle: 160 ft 60 ft 9600 ftArea of right rectangle: 260 ft 60 ft 21, 600 ftTotal area:

2 2

31,800 ftArea in tsf 31,800 ft 1000 31.8 tsf

b 96 is divisible by 4

4 a 1 7+ + =2 10 is not divisible by 3, so

172 is not divisible by 3

b 172 is divisible by 4

5 a 7 8+ =15 is divisible by 3, so 78 is divisible

by 3

b 78 is not divisible by 4

6 a 6 7 5+ + =18 is divisible by 3, so 675 is divisible by 3

19 1367 is odd, so it is not divisible by 2

20 1205 is odd, so it is not divisible by 2

6 2 5 4 2

6 2 20 2

6 2 18

6 2342

Area of left rectangle: 24 in 11 in 264 inArea of middle rectangle: 15 in 11 in 165 inArea of right rectangle: 10 in 7 in 70 inTotal area:

E I R I

40 152300

18 821 does not end in 0 or 5, so it is not

× +

42 3 (6 4) 3 276

× +

43 1 (2 8) 1 172

× +

44 2 (5 3) 2 175

× +

45 7 (1 16) 7 231

528

45 45

26

49 171

3 8 107

There will be three 41

2 ft pieces and one

14

51 There will be 3 2 6 1 12+ + + = cuts.

Total lengths of the pieces:

3 in.

128585 in

643 in

2252202

61

1

12 8 ft 102 ft2

1

12 6 ft 78 ft2

22124222421

22124222421

80 lb 40 lb2

7 oz2

22

in

3 in

22

in

3 in

=+

=+

=+

43White flowers 300 225 flowers

3 lb88

12 32 pies3

Section 1.9: The U.S System of Weights and Measures

1 3 ft 12 in. 7 in 43 in

1 fl oz3

4. seven and one-tenth

5. one and four hundred twenty-one

hundred-thousandths

6. one thousand forty-two and seven thousandths

7. six and ninety-two thousandths

8. eight and one thousand four hundred sixty-one

50. 10.25 ft 15.4 ft 14.1 ft+ + =39.75 ft

56

3.45 cm1.87 cm4.87 cm2.69 cm8.32 cm4.56 cm25.76 cm

62

21.5 42.6 62.3 19.8 32.2 178.4

ΩΩΩΩΩΩ

63

15.7

40 25.5 0.6

1200

115 1396.8

ΩΩΩΩΩΩΩ

64

3.2 V5.1 V0.45 V0.03 V0.8 V0.007 V

2 V11.587 V

65. 1.625 in 1.093 in.− =0.532 in

66

13.47 cm 6.74 cm 4.89 cm1.84 cm

1.23 cm 1.79 cm3.02 cm

69. 4.125 in 0.007 in.− =4.118 in.

70. 0.2573 in 0.2476 in.− =0.0097 in

71. 11.20 billion−6.11 billion=5.09 billion

77

2.5 lb 2.5 lb

12 oz 16 oz/lb 0.75 lb1.5 oz 16 oz/lb 0.9375 lb

15. 17, 200 ; 17,160 ; 17,159 ; 17,159.2 ; 17,159.17 ; 17,159.167

16. 0 ; 10 ; 8 ; 8.2 ; 8.17 ; 8.172

17. 1, 543, 700 ; 1, 543, 680 ; 1, 543, 679 ; N/A;

N/A; N/A

18. 41,900 ; 41,890 ; 41,892 ; 41,892.2 ; 41,892.16 ; 41,892.157

2 3

2 2 2 2 2

+

23

3.6 ft1.2 ft

29

7

8106.5 in

80 threads/in

n p

51 The cost of one head of cattle is

550 lb $1.45/lb× $797.50= The revenue of one head of cattle is

(550 lb 500 lb+ )×$1.20/lb $1260.00= The expected profit is $150, so the cost of the

58 1.5 V 60.25 A= Ω

59 115 V 136.90.84 A = Ω

64 1.25 mg 5 tablets0.25 mg =

10, 240 ft

8228 bu1.2445 ft /bu =

$2870 $172.20+ =$3042.20 so his new annual salary is

12 $3042.20× =$36,506.40

13 a

10%; $5.49 $3.28 $7.22 $2.12 $18.11

$18.11 0.10 $18.11 $16.3020%; $12.57 $22.12 $17.88 $52.57

$52.57 0.20 $52.57 $42.0630%; $38.42 $40.12 $35.18 $113.72

$113.72 0.30 $113.72 $79.60Total; $16.30 $42.06

P B R B

P R B R

P B R B

$1600

P B R B

P R B R

15

P R B

P R B R

P R B R

P R B R

=

=

27

0.3 qt4.5 qt0.067 6.7%

P R B R

P R B R

2400 ft 1920 ft

2400 ft

480 ft

2400 ft0.20 20%

P R B

31

20 ft0.03666.7 ft666.7 ft 100 ft 766.7 ft

P B R B

1 acre

440 lbActive ingredients: 440 lb 0.80 352 lbInert ingredients: 440 lb 352 lb 88 lb

2

Seeded area 18, 400 ft 0.60

11, 040 ft

2 lbSeed required 11, 040 ft

P R B R

41

25 ml

1000 ml0.025 2.5%

P R B R

change

original value

6500 ftPercent increase 100%

28, 000 ft23.2%

P R B R

P R B R

original value

152 135Percent increase 100%

1350.126 12.6%

105, 000 tons

P B R B

$16.65

P B R B

$103.57

=5($73.95 0.25 $73.95)

$277.31

=8($43.90 0.25 $43.90)

$263.40

=2($124.60 0.20 $124.60)

$199.36

=5($18.80 0.15 $18.80)

loan period

$2000 $300payment

360

360

$150, 0000.065 /12

30 12 3601

0.065 0.0651

P i n

8

( ) ( )

180

180

$75, 0000.0625 /12

15 12 1801

P i n

20 20

Price 275 acres $4100/acre

$1,127, 500

$1,127, 500 0.75 $845, 6250.0675

201

P i n

60

60

$45, 500 $4500 0.80 $32, 8000.0725 /12

5 12 601

P i n

36

36

$24, 0000.0075 /12

3 12 361

n n

P i n

11 (continued)

( ) ( )

36

36

$24, 000 $1500 $22, 5000.085 /12

3 12 361

n n

P i n

36

36

$19, 5000.0175 /12

3 12 361

n n

P i n

36

36

$19, 500 $2500 $17, 0000.065 /12

3 12 361

0.065 0.0651

n n

P i n

13

( ) ( ) ( )( )

4 4

$220, 500 $4500 $9500 $8000 $198, 5000.08

41

P i n

5 5

Dealer price $150, 500 1 0.035 0.0095 $157,197.25

$157,197.25 $7500 $10, 000 $139, 697.250.0725

51

P i n

21

( ) ( )

36 36

$37,500 $37, 500 0.10 $37, 500 0.06

$36, 0000.042 /12 0.0035

3 12 361

12 18.5 in 2.75 in.÷ =6 r 2 Six cables could be

cut and there would be 2 in remaining

P B R B

P R B R

3 9,178, 000

4 226 r 240

5

( ) ( )

12 3 5 2

12 3 3

12 93

6 4 8 2 3

10 8 2 3

80 2 3

40 343

Area of upper rectangle: 12 cm 5 cm 60 cmArea of lower rectangle: 10 cm 28 cm 280 cmTotal area: 340 cm

Volume of left box: 10 cm 1 cm 1 cm 10 cmVolume of middle box: 10 cm 1 cm 1 cm 10 cmVolume of right box: 10 cm 1 cm 1 cm 10 cmTotal Volume:

50 329

518910

30, 000103000

Fs P t P

× +

21 7 (3 16) 7 553

17 6

3115

3 1

8 6116

37 %25

6

10.833

1

83 %33

84

8.75 875%

225

2.4 240%

32000

0.0015 0.15%

59

$32, 000

$84, 00038.1%

P R B R

13 64 1332

42.3%

P R B

R

=

=

Height 20 in 2 5 in 30 in.

Length 4 10 in 1 in 41 in

Area of upper rectangle: 10 m 40 m 400 mArea of middle rectangle: 10 m 15 m 150 mArea of lower rectangle: 10 m 20 m 200 mTotal area: 750 m

Volume of outer box: 10 in 12 in 20 in 2400 inVolume of missing corner: 3 in 4 in 20 in 240 inTotal Volume: 2160 in

d t r t

P B R B

P R B R

42 0.0552

43 6.73