12.4.6: Chapter 6
- Page ID
- 119027
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\(\newcommand{\avec}{\mathbf a}\) \(\newcommand{\bvec}{\mathbf b}\) \(\newcommand{\cvec}{\mathbf c}\) \(\newcommand{\dvec}{\mathbf d}\) \(\newcommand{\dtil}{\widetilde{\mathbf d}}\) \(\newcommand{\evec}{\mathbf e}\) \(\newcommand{\fvec}{\mathbf f}\) \(\newcommand{\nvec}{\mathbf n}\) \(\newcommand{\pvec}{\mathbf p}\) \(\newcommand{\qvec}{\mathbf q}\) \(\newcommand{\svec}{\mathbf s}\) \(\newcommand{\tvec}{\mathbf t}\) \(\newcommand{\uvec}{\mathbf u}\) \(\newcommand{\vvec}{\mathbf v}\) \(\newcommand{\wvec}{\mathbf w}\) \(\newcommand{\xvec}{\mathbf x}\) \(\newcommand{\yvec}{\mathbf y}\) \(\newcommand{\zvec}{\mathbf z}\) \(\newcommand{\rvec}{\mathbf r}\) \(\newcommand{\mvec}{\mathbf m}\) \(\newcommand{\zerovec}{\mathbf 0}\) \(\newcommand{\onevec}{\mathbf 1}\) \(\newcommand{\real}{\mathbb R}\) \(\newcommand{\twovec}[2]{\left[\begin{array}{r}#1 \\ #2 \end{array}\right]}\) \(\newcommand{\ctwovec}[2]{\left[\begin{array}{c}#1 \\ #2 \end{array}\right]}\) \(\newcommand{\threevec}[3]{\left[\begin{array}{r}#1 \\ #2 \\ #3 \end{array}\right]}\) \(\newcommand{\cthreevec}[3]{\left[\begin{array}{c}#1 \\ #2 \\ #3 \end{array}\right]}\) \(\newcommand{\fourvec}[4]{\left[\begin{array}{r}#1 \\ #2 \\ #3 \\ #4 \end{array}\right]}\) \(\newcommand{\cfourvec}[4]{\left[\begin{array}{c}#1 \\ #2 \\ #3 \\ #4 \end{array}\right]}\) \(\newcommand{\fivevec}[5]{\left[\begin{array}{r}#1 \\ #2 \\ #3 \\ #4 \\ #5 \\ \end{array}\right]}\) \(\newcommand{\cfivevec}[5]{\left[\begin{array}{c}#1 \\ #2 \\ #3 \\ #4 \\ #5 \\ \end{array}\right]}\) \(\newcommand{\mattwo}[4]{\left[\begin{array}{rr}#1 \amp #2 \\ #3 \amp #4 \\ \end{array}\right]}\) \(\newcommand{\laspan}[1]{\text{Span}\{#1\}}\) \(\newcommand{\bcal}{\cal B}\) \(\newcommand{\ccal}{\cal C}\) \(\newcommand{\scal}{\cal S}\) \(\newcommand{\wcal}{\cal W}\) \(\newcommand{\ecal}{\cal E}\) \(\newcommand{\coords}[2]{\left\{#1\right\}_{#2}}\) \(\newcommand{\gray}[1]{\color{gray}{#1}}\) \(\newcommand{\lgray}[1]{\color{lightgray}{#1}}\) \(\newcommand{\rank}{\operatorname{rank}}\) \(\newcommand{\row}{\text{Row}}\) \(\newcommand{\col}{\text{Col}}\) \(\renewcommand{\row}{\text{Row}}\) \(\newcommand{\nul}{\text{Nul}}\) \(\newcommand{\var}{\text{Var}}\) \(\newcommand{\corr}{\text{corr}}\) \(\newcommand{\len}[1]{\left|#1\right|}\) \(\newcommand{\bbar}{\overline{\bvec}}\) \(\newcommand{\bhat}{\widehat{\bvec}}\) \(\newcommand{\bperp}{\bvec^\perp}\) \(\newcommand{\xhat}{\widehat{\xvec}}\) \(\newcommand{\vhat}{\widehat{\vvec}}\) \(\newcommand{\uhat}{\widehat{\uvec}}\) \(\newcommand{\what}{\widehat{\wvec}}\) \(\newcommand{\Sighat}{\widehat{\Sigma}}\) \(\newcommand{\lt}{<}\) \(\newcommand{\gt}{>}\) \(\newcommand{\amp}{&}\) \(\definecolor{fillinmathshade}{gray}{0.9}\)Be Prepared
Try It
- ⓐ
- ⓑ
- ⓐ
- ⓑ
- ⓐ
- ⓑ
- ⓐ
- ⓑ
- ⓐ 0.09
- ⓑ 0.87
- ⓐ 0.03
- ⓑ 0.91
- ⓐ 1.15
- ⓑ 0.235
- ⓐ 1.23
- ⓑ 0.168
- ⓐ
- ⓑ
- ⓐ
- ⓑ
- ⓐ
- ⓑ
- ⓐ
- ⓑ
- ⓐ 1%
- ⓑ 17%
- ⓐ 4%
- ⓑ 41%
- ⓐ 175%
- ⓑ 8.25%
- ⓐ 225%
- ⓑ 9.25%
- ⓐ 62.5%
- ⓑ 275%
- ⓒ 340%
- ⓐ 87.5%
- ⓑ 225%
- ⓒ 160%
42.9%
57.1%
36
33
117
126
68
64
$26
$36
75%
80%
125%
175%
$14.67
$2.16
24.1 grams
2,375 mg
26%
37%
8.8%
50%
6.3%
10%
- ⓐ $45.25
- ⓑ $769.25
- ⓐ $20.50
- ⓑ $270.50
9%
7.5%
$273
$394.20
4%
5.5%
$450
$82
- ⓐ $11.60
- ⓑ $17.40
- ⓐ $256.75
- ⓑ $138.25
- ⓐ $184.80
- ⓑ 33%
- ⓐ $60
- ⓑ 15%
- ⓐ $600
- ⓑ $1,800
- ⓐ $2,975
- ⓑ $11,475
$160
$56
$2,750
$3,560
4.5%
6.5%
$142.50
$7,020
6%
4%
$11,450
$9,600
$57.00
$143.50
- ⓐ
- ⓑ
- ⓒ
- ⓐ
- ⓑ
- ⓒ
- ⓐ no
- ⓑ yes
- ⓐ no
- ⓑ no
77
104
65
24
−7
−9
12 ml
180 mg
300
5 pieces
590 Euros
56,460 yen
Section 6.1 Exercises
- ⓐ
- ⓑ
- ⓐ
- ⓑ
0.05
0.01
0.63
0.4
1.15
1.5
0.214
0.078
- ⓐ
- ⓑ
- ⓐ
- ⓑ
- ⓐ
- ⓑ
- ⓐ
- ⓑ
1%
18%
135%
300%
0.9%
8.75%
150%
225.4%
25%
37.5%
175%
680%
42.9%
25%
35%
Fraction | Decimal | Percent |
---|---|---|
- ⓐ
- ⓑ
80%; 0.8
The Szetos sold their home for five times what they paid 30 years ago.
Section 6.2 Exercises
54
26.88
162.5
18,000
112
108
$35
$940
30%
36%
150%
175%
$11.88
$259.80
24.2 grams
2,407 mg
45%
25%
13.2%
125%
72.7%
2.5%
11%
5.5%
21.2%
The original number should be greater than 44.80% is less than 100%, so when 80% is converted to a decimal and multiplied to the base in the percent equation, the resulting amount of 44 is less. 44 is only the larger number in cases where the percent is greater than 100%.
Alex should have packed half as many shorts and twice as many shirts.
Section 6.3 Exercises
- ⓐ $4.20
- ⓑ $$88.20
- ⓐ $9.68
- ⓑ $138.68
- ⓐ $17.13
- ⓑ $267.13
- ⓐ $61.45
- ⓑ $1,260.45
6.5%
6.85%
$20.25
$975
$859.25
3%
16%
15.5%
$139
$81
$125
- ⓐ $26.97
- ⓑ $17.98
- ⓐ $128.37
- ⓑ $260.63
- ⓐ $332.48
- ⓑ $617.47
- ⓐ $576
- ⓑ 30%
- ⓐ $53.25
- ⓑ 15%
- ⓐ $370
- ⓑ 43.5%
- ⓐ $7.20
- ⓑ $23.20
- ⓐ $0.20
- ⓑ $0.80
- ⓐ $258.75
- ⓑ $373.75
- ⓐ $131.25
- ⓑ $126.25
- ⓒ 25% off first, then $20 off
- ⓐ Priam is correct. The original price is 100%. Since the discount rate was 40%, the sale price was 60% of the original price.
- ⓑ Yes.
Section 6.4 Exercises
$180
$14,000
6.3%
$90
$579.96
$14,167
$3,280
$860
$24,679.91
4%
5.5%
$116
$4,836
3%
3.75%
$35,000
$3,345
$332.10
$195.00
Answers will vary.
Answers will vary.
Section 6.5 Exercises
yes
no
no
yes
x = 49
z = 7
a = 9
p = −11
a = 7
c = 2
j = 0.6
m = 4
9 ml
114 beats/minute. Carol has not met her target heart rate.
159 cal
$252.50
0.8 Euros
48 quarters
19 gallons, $58.71
12.8 hours
4 bags
He must add 20 oz of water to obtain a final solution of 32 oz.
Answers will vary.
Review Exercises
0.06
1.28
- ⓐ
- ⓑ
- ⓐ
- ⓑ
4%
282%
0.3%
75%
362.5%
40%
161
240
25
68%
$16.70
28.4%
4%
- ⓐ $45
- ⓑ $795
7.25%
$11,400
15%
$45
- ⓐ $25.47
- ⓑ $59.43
- ⓐ $13
- ⓑ 26%
- ⓐ $0.48
- ⓑ $1.28
$450
$4400
$900
2.5%
yes
no
20
4
12 ml
340 calories
13 gallons
Practice Test
25%
40
11.9%
4%
$70
6.25%
−52