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Test bank for basic college mathematics through applications 5th edition by akst

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In total, what is thesmallest number of bonds and growth stocks combined that this fund could have?. 126 127 In a three-point shooting contest, a basketball player attempted 20 shots and

Trang 1

MULTIPLE CHOICE Choose the one alternative that best completes the statement or answers the question Find all the factors of the number.

5)

6) 63

A) 1, 3, 5, 7, 9, 11, 21, 63 B) 1, 2, 3, 7, 9, 21, 36, 63C) 3, 5, 7, 9, 11, 21, 63 D) 1, 3, 7, 9, 21, 63

6)

7) 66

A) 1, 2, 3, 9, 11, 22, 33, 66 B) 1, 2, 3, 6, 11, 22, 33, 66C) 1, 2, 3, 4, 11, 16, 22, 33, 66 D) 1, 3, 11, 22, 33, 66

7)

8) 70

A) 1, 2, 5, 7, 10, 14, 35, 70 B) 1, 3, 5, 7, 9, 15, 20, 35, 70C) 1, 2, 3, 5, 7, 9, 15, 35, 70 D) 1, 2, 5, 7, 35, 70

8)

9) 72

A) 1, 2, 3, 4, 6, 8, 9, 12, 24, 36, 72 B) 1, 2, 3, 4, 6, 9, 12, 14, 18, 24, 36, 72C) 1, 2, 3, 4, 5, 6, 7, 8, 9, 12, 18, 24, 36, 72 D) 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72

9)

10) 84

A) 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84 B) 1, 2, 3, 4, 6, 7, 12, 14, 21, 42, 84C) 1, 2, 3, 4, 7, 14, 21, 28, 42, 84 D) 1, 2, 3, 4, 5, 6, 7, 8, 9, 12, 14, 21, 28, 42, 84

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Solve the problem.

38) The government holds a presidential election in every year that is a multiple of 4 Was there an

election in 1920? Explain

A) Yes, there was an election in 1920, because 1920 is a multiple of 4

B) No, there was not an election in 1920, because 1920 is not a multiple of 4

38)

39) The government holds a presidential election in every year that is a multiple of 4 Was there an

election in 1937? Explain

A) Yes, there was an election in 1937, because 1937 is a multiple of 4

B) No, there was not an election in 1937, because 1937 is not a multiple of 4

39)

40) What are the dimensions of the smallest square that you can make using 21-in by 28-in

rectangular tiles?

40)

Trang 4

41) A choreographer of a musical wants to hire enough dancers so that he can arrange them in groups

of exactly 3, 4, and 6 with no dancers left out What is the least number of dancers he can hire?

41)

42) The manager at a local pizza place wants to cut and package pepperoni slices Each medium

pizza has 5 slices of pepperoni and each large pizza takes 8 slices of pepperoni What is thesmallest number of slices in each package so there will be none left when making any combination

of large or medium pizzas

42)

43) A mutual fund is made up of growth stocks and bonds, and the manager has determined that for

every 9 growth stocks it has in this fund that it must also have 4 bonds In total, what is thesmallest number of bonds and growth stocks combined that this fund could have?

43)

44) A record producer decided to have a special promotion at a local concert Every sixth person

through the gate was to receive a free compact disc If you were person number 600 through thegate, would you get a free CD? Explain

A) No, because 600 is not a multiple of six B) Yes, because 600 is a multiple of six

46)

Trang 5

50)

Trang 6

54)

Trang 7

Draw a diagram to represent the number.

Trang 8

C)

D)

58)

Trang 11

76) 141

4A) 57

77)

78) 92

5A) 47

78)

79) 65

7A) 42

79)

80) 129

10A) 21

80)

81) 3 17

100A) 317

81)

82) 1412

19A) 278

168

82)

Trang 12

Write the improper fraction as a mixed or whole number.

83) 35

3A) 112

83)

84) 25

4A) 61

84)

85) 11

5A) 31

85)

86) 11

6A) 15

86)

87) 41

8A) 51

89)

90) 188

5A) 5

90)

91) 1609

12A) 12

91)

Trang 13

92) 2282

14A) 163

93)

94) 1

7 = 21

94)

95) 4

9 = 45

95)

96) 2

3 = 30

96)

97) 8

12 = 108

97)

98) 11

7 = 14

98)

99) 10

9 = 72A) 324

8

38

100)

101) 10

11 = 55

2

101)

Trang 14

Simplify the fraction.

102) 90

10A) 18

9

19

102)

103) 12

14A) 6

103)

104) 39

52A) 39

104)

105) 100

160A) 20

105)

106) 132

209A) 132

108)

109) 4 41

123A) 41

Trang 15

Between the pair of numbers, insert the appropriate sign: <, =, or >.

111) 4

7

37

Trang 16

123) 5

7, 6, 9A) 5

Solve Write your answer in simplest form.

125) A baseball team has played 9 games so far this season The team won 7 games What fraction of

its games has the team won?

125)

126) A baseball team has played 8 games so far this season The team won 7 games What fraction of

its games has the team lost?

126)

127) In a three-point shooting contest, a basketball player attempted 20 shots and made 11 of them

What fraction of his shots did the player make?

127)

128) In a three-point shooting contest, a basketball player attempted 20 shots and made 15 of them

What fraction of his shots did the player miss?

130) At an advertising agency that employs 217 people, 76 employees receive 2 weeks of paid vacation

each year What fraction of the agency's employees receives 2 weeks of paid vacation?

130)

Trang 17

131) You have three bolts that are 5

4 Which card has a higher probability of being drawn, a diamond or a facecard? Explain

A) A diamond, because 1

4 is greater than

12

52.B) A face card, because 12

64 points today Does the broker sell the stock? Explain.

134)

135) 15

86 + 1086A) 24

135)

136) 4

14 + 4

14 + 314A) 48

136)

137) 18

74 + 12

74 + 1574A) 30

137)

Trang 18

138) 1

10 + 910

138)

139) 1

9 + 59A) 1

139)

140) 2

3 + 19A) 22

140)

141) 3

4 + 320A) 1

141)

142) 7

6 + 118A) 4

142)

143) 2

3 + 112A) 9

143)

144) 2

3 + 16A) 1

144)

145) 3

10 mi + 9

100 miA) 3

Trang 19

147) 6

8 + 7

10 + 418A) 301

147)

148) 11

22 + 4

33 + 1644A) 65

148)

149) 1

2 + 9

8 + 14A) 15

15

118

149)

Add and simplify Write the answer as a mixed number as needed.

150) 67

9 + 129A) 21

5

59

151)

152) 55

9 + 459A) 101

152)

153) 43

8 + 558A) 105

3

37

154)

155) 71

4 + 723A) 711

155)

Trang 20

156) 11

2 + 97

8 + 12A) 107

156)

157) 121

4 + 538A) 185

157)

158) 22

3 + 359A) 511

158)

159) 53

4 + 71720A) 1232

3

35

159)

160) 45

6 + 258A) 670

Trang 21

165) 5

8 - 48A) 1

165)

166) 8

21 - 621A) 1

166)

167) 8

25 - 525A) 1

167)

168) 31

44 - 2144A) 1435

168)

169) 25

42 - 742A) 2

169)

170) 7

8 - 38A) 5

170)

171) 28

13 - 513A) 1

171)

172) 46

92 mi - 40

92 miA) 3

Trang 22

Subtract and simplify.

174) 8

9 - 46A) 4

174)

175) 1

7 - 111A) 1

175)

176) 5

7 - 12A) 3

176)

177) 4

5 - 320A) 13

177)

178) 9

22 - 625A) 3

178)

179) 7

9 - 112A) 2

179)

180) 8

15 - 120A) 7

180)

181) 7

12 - 116A) 1

181)

Subtract and simplify Write the answer as a mixed number as needed.

182) 102

5 - 145A) 82

182)

Trang 23

183) 202

5 - 45A) 203

183)

184) 154

9 - 989A) 55

184)

185) 88

7 sec - 44

7 secA) 44

187)

188) 15 - 2

9A) 157

189)

190) 20 - 2

7A) 195

5

57

190)

191) 61

2 - 5A) 11

12

191)

Trang 24

192) 1115

16 - 4A) 7

3

1516

192)

193) 123

13 - 12A) 3

193)

194) 910

13 lb - 1 lbA) 810

17

1721

197)

198) 177

25 - 9720

198)

199) 382

3 - 251316

199)

200) 132

15 - 729A) 541

41

4345

200)

Trang 25

201) 155

16 - 638A) 913

3

35

203)

204) 132

3 yd - 15

6 ydA) 125

206)

207) 9 4

13 - 2 1

13 + 2 113A) 9 2

207)

208) 101

3 - 51

8 + 415A) 9 3

208)

209) 91

5 + 75

6 - 6 320A) 101

209)

Trang 26

210) 195

7 - 21

5 - 1 314A) 18 3

210)

211) 131

3 - 1

7 - 214A) 1137

211)

212) 191

8 - 11

4 - 12A) 183

212)

213) 2

5 - 1

16 + 35A) - 11

12

216) June wants to work for 111

2 hours at her part-time job this week She has already worked 23

4hours How many more hours does she need to work?

217) Peter must practice the piano 101

4 hours per week He has already practiced 2

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219) Brian was training to run a marathon During the three-day period before the race he decided that

he would train for a total of 12 hours If he trained for 24

5 hours on the first day and 2

3

10 hours onthe second day, how many hours would he need to train on the third day?

220) Amy decided to bake bread and a cake For the bread she needed 31

2 cups of flour For the cakeshe needed 12

3 cups of flour She had only 3

b = 558A) 21

221)

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222) Find the length of the section represented by x in the figure.

a = 234

b = 111112A) 1111

222)

Multiply Write the answer as an improper fraction as needed.

223) 3

4 ∙ 13A) 4

223)

224) 4

7 × 45A) 16

224)

225) 2

92

225)

226) 11

12 × 47A) 11

226)

227) 3

5 ∙ 615A) 6

227)

Trang 29

228) 13

5

1514A) 195

228)

229) 42

30

56A) 210

232)

Multiply Write the answer as a mixed number as needed.

233) 21

6 ∙ 37A) 11

233)

234) 14

5 ∙ 49A) 44

234)

235) 1

9 ∙ 514A) 7

235)

236) 2

3 ∙ 214A) 1 5

236)

Trang 30

237) 6

7 4

13A) 420

237)

238) 91

3 ∙ 314

114

238)

239) 74

5 × 56A) 61

239)

240) 3

20 2

59A) 3

240)

241) 51

9 ∙ 14A) 5

241)

242) 11

6 ∙ 38A) 7

244)

245) 22

5 × 313

245)

Trang 31

246) 45

8 ∙ 512A) 25 7

5

38

246)

247) 3 × 5 7

15A) 152

248)

249) 3 × 34

7 × 35A) 63

249)

250) 11

33

251)

Divide Write the answer as a mixed number as needed.

252) 1

4 ÷ 23A) 1

252)

253) 8

17 ÷ 415A) 32

253)

254) 1

17 ÷ 311A) 11

254)

Trang 32

255) 1

3 ÷ 78A) 7

255)

256) 2

9 ÷ 72A) 12

256)

257) 2

3 ÷ 19A) 1

258)

259) 3

4 ÷ 7A) 4

259)

260) 4

5 ÷ 9A) 4

261)

262) 5 ÷ 1

3A) 12

3

115

263)

Trang 33

264) 4 ÷ 3

8A) 1

264)

265) 41

8 ÷ 38

267)

268) 91

2 ÷ 5A) 1 9

268)

269) 2

3 ÷ 516A) 4

269)

270) 51

8 ÷ 412A) 1 6

272)

Trang 34

273) 35

6 ÷ 3 34A) 1 2

273)

274) 54

9 ÷ 115A) 430

275)

276) 1

7 ÷ 5

7 ∙ 110

198

276)

277) 11

12 - 1

2 ∙ 115A) 1

277)

278) 3

8 × 21

4 + 12A) 5

278)

279) 12

5 × 2 ÷ 38A) 11

279)

280) 3 × 21

9 × 25A) 2 8

280)

281) 2

3 + 1 2 - 3

7A) 1 5

281)

Trang 35

282) 2

3

2+ 51

2 ÷ 315A) 237

282)

283) 11

2 ÷ 15

2 + 1 - 342

283)

284) 11

2 ÷ 13

2 + 1 - 142

284)

Solve Write the answer as a mixed number as needed.

285) Joe has traveled 5

6 of his total trip He has traveled 570 miles so far How many more miles does hehave to travel?

285)

286) A statistician has readings that take 2

3 minute each to read and record How many readings can becompleted in 30 minutes?

286)

287) A bag of chips is 24 ounces A serving size is 3

4 ounce How many servings are in the bag of chips?

288) A piece of cable which is 2

3 m long is to be cut into pieces

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290) Fahrenheit temperatures can be obtained from Celsius (centigrade) by multiplying by 14

5 andadding 32° What Fahrenheit temperature corresponds to a Celsius temperature of 21°?

291) A statistician has readings that take 11

3 minutes each to read and record How many readings can

be completed in 108 minutes?

291)

292) The floor of a rectangular room is to be tiled with 1

3 foot square tiles along a 12

293) Stock in a company is selling for $83

8 per share If someone purchases $5427 worth of stock in thiscompany, how many shares did they get?

Provide an appropriate response.

295) List all the factors of 44

297)

Trang 37

298) Write 5 as an improper fraction.

303)

304) 55

6 + 578A) 1082

304)

Subtract and simplify Write the answer as a mixed number as needed.

305) 17 - 96

7A) 71

305)

306) 136

7 - 313A) 101

306)

Trang 38

307) 1

62

307)

308) 12

3 × 445

310)

Solve Write the answer as a mixed number as needed.

311) Deirdre led a tour of a Spanish city for a group of foreign tourists Of the 88 people in the group, 11

could speak Spanish What fraction of the group could not speak Spanish?

311)

312) A car traveled 159 miles on 85

6 gallons of gas How many miles per gallon did it get?

313) A recipe calls for 11

3 cups of water How much water would be needed for half the recipe?

314) Tia pays her babysitter $8 per hour The babysitter worked for 21

2 hours on Friday and 2

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