1. No category

Name
Practice
10-4
What is a Proportion?
state whether or not each pair of ratios forms a proportion.
6 7 12
1. 12
14
3 , 2
2. 20 - 10
3.
20 , 25
12 ^ 15
13 , 24
11 ^ 20
6.
^ 1 15
20
, 3
10 - 2 -
9.
l i 7 16
21 = 28
4.
27 7 36
6
8
5.
7.
10 7 45
4
20
8.
3 7 4
10. 24
7^1
32
11.
12 7 4
20 ^ 7 -
12.
6 7 4
13. T15F ^
12
14.
15 , 20
18 • 24
15.
16.
25 7 15
35
21
17.
19.
2 t s p , 6 tsp
7 gal
21 gal
20.
23.
22.2Llb ,
$21 -
14 lb
$18
15
_10
16
#1
9 = 22
IZ
7 10
12 =^ 7
18.
32 , 40
36 =^ 45 —
12 cm , 15 g
20 g - 25 cm
21.
$14 , $84
3 hr = 18 hr -
15 sec , 10 in.
21 sec ^ 15 in.
24.
6 f t 1,
7ft
13 gal = 14 gal
9-14
For Exercises 25-30, choose the proportion that is written correctly.
5 men
4 women
25. a.
20 men
25 women
26. a.
$25
27 acres ^
$15
' 45 acres
27. a.
12 pies
6 cakes
4 cakes ~ 18 pies
6 gal ^ 2 min
28. a. 15 gal
5 min
CO
I
03
@
b .
b .
b .
b .
29. a.
25 chairs _ 10 tables
5 tables
2 chairs
b .
30. a.
36 lb _ 18 lb
28 ft
14 ft
b .
. 25 women
4 men
4 men
c.
20 men
5 women
5 women
20 men
25 women
45 acres _ 27 acres
~
$15
$25
$25
$27
15 acres ' 45 acres
c.
4 cakes _ 6 cakes
12 pies
18 pies
12 pies __ 6 pies
c. 4 cakes ~" 18 cakes
5 min
15 gal
6 gal
c. 2 min
25 chairs
5 tables
6 gal
2 min
2 tables
10 chairs
18 lb _ 28 lb
14 ft ~ 36 ft
5 gal
15 min
25 chairs ^ 10 chairs
c. 5 tables
2 tables
36 ft _ 18 1b
28 lb " 14 ft
31. During the butterfly stroke competitions at the 1972 Summer
Olympic Games, Mayumi Aoki swam 100 meters in 64 seconds,
and Karen Moe swam 200 meters in 136 seconds. Do these
rates form a proportion?
32. At Deliah's Hardware, you can buy 5 feet of PVC pipe for $1.10,
or 8 feet for $1.76. Are these prices proportional?
Use with pages 530-533.
117
Name
Practice
10-5
Solving Proportions
Using Cross Products
Solve each proportion.
1.
12
a
16
20
2 ^ =
8
20
a =
15
6.
u =
9=
6
5•
7 /ZI_12
30
29 ^ = ^
16
p
z
10
25
q
19.
_
27
6
j
8
5
g
3.5
30.
10
24 ~ 16
34.
_^
15 _
Z
20 " 4
=
31.
1.6
1.4
45 _ 27
u
12
u =
35 g^ -- 2^
35.
P =
38. In 1967, a minimum wage worker would receive $84
for 60 hours of work. How much would the worker
receive for 75 hours of work?
Use with pages 534-537.
n
n =
37. Measurement If 5 pints of water weigh 80 oz,
find the weight of 12 pints of water.
118
17= —
_
28. A _ P
36 ~ 9
P =
5 =
t=
15
12
r
y=
27.
3_2
20 _ 4
d ~ 5
d=
b =
26.
12
15
5 ~ c
16
23
23. 2^ -- 4^
P =
33.
2
20
2
15 ~ 6
10 ^ 8
m 4
m=
30 _ i
3 " 2
/=
z = ^
z =
16
2
c =
15.
18.
40
y
21
k=
f=
25.
8.
12.
28 ~ 7
=
18
8
y =
10. _s
28
s =
/ 7 =
45
X
X=
8 ~ 16
14
13
21.
4.
a =
36 " 45
17 ^
30 _ 20
a ~ 18
a=
t =
- u
6
^- 5 = 3
9.
3.
32.
10 _
45
_
2
X
X=
ofi 3 _ 12
7 - a
a =
Name
Practice
10-6
Solving Proportions
Using Unit Rates
Find the unit rate for each.
books
1. 312shelves
2.
14 tsp
7 gal
3.
108 pages
9 hours
4.
6 gal
2 min
5.
30.48 cm
12 in.
6.
40 mice
8 rats
7.
28 cats
4 dogs -
8.
$315
35 hr
9.
10 CDs
5 tapes
10.
90 cars
15 trucks
11.
14 cups
42 sec
12.
18 boys
18 girls
13.
576 pt
72 gal
14.
120 mi
3 hr
15.
35 carrots
10 potatoes
16.
36 cups
18 bowls
17.
68 men
17 women
18.
375 ft^
25 people
-
21.
7 hits
2 innings
6 innings
24.
15 meals
3 days
5 days
—
—
Solve each proportion using unit rates.
19.
20 moose
iiu m o o s e
8ft2
lu rnoustJ
23.
$15
9 lb
26.
15°
2lTr " 3 h r
27.
45 in. _
5 1b ~ 2 lb
29.
12 lb
4 sec
1 sec
30.
$6
2 hr
35 mi _
10 L ~
32.
4 in
21 oz
6 in^
33.
27 min _ _
24 ft
8ft
22.
4ft
12 sec
25.
5 drops
50 gal
28.
31.
6 sec
30 gal
8 L
31b
4 hr
16 gal
2 hr
3 hr
34. In 1909, French workmen removed a white stork's nest
weighing 660 kilograms from the top of a cathedral. The
nest also weighed 1452 pounds. Using these measurements,
find the number of pounds in a kilogram.
35. History The Northrop XB-35 aircraft used in World War II
had a wingspan of 172 feet. Melba's model of this
aircraft has a wingspan of 2 1 ^ inches. How many feet
does one inch of the model represent?
119
Name
Practice
10-7
Similar Figures
Find the missing side lengths.
'\.A =
B=
9 in.
2. >\
C
12 in.
3
8 =
. 22.5 cm
q
14 cm
12 in.
ti_d
•
B
d
B =
3.A =
B
C =
v17.5cm
10.5 cm
S =
4. /!\
C =
4m
J
TT
3m
1
r
B
4m
1
r
4m
6. >\
B =
5.A =
4 in.
2| i n . / — I n .
4 in.
4m
7|in.>
/
B =
2.5 cm
6.5 cm,
B
'B
14ft
5 cm
B
6 cm
6 cm
7. On the map, 1 inch equals 850 actual miles.
a. What are the actual distances between the cities?
New York to New Orleans
New Orleans to Miami
Miami to New York
Miami
b. Is the triangle shown on the map similar to the life-size
triangle? Explain.
8. The lengths of the sides of a triangle are 45 cm, 55 cm,
and 70 cm. The shortest side of a similar triangle has
length 27 cm. What are the lengths of the other two
sides of the similar triangle?
120
Name
Practice
Section 10B Review
Find the unit rate for each ratio.
1.
45 kg
15 m
4.
108 cows
6 acres
5.
48 lemons
$8
3.
105 mi
3 hr
-
20 windows
4 doors
6.
100 cars
25 min
Solve each proportion.
7.
15
3
10
8.
4 dogs ^
9 cats
18 cats
9.
18
18 rings
$20
$30
21
12
18
25 gal
5 min
13. In 1996, a chocolate chip cookie with an area of 5240
• square feet was made by Cookie Time of New Zealand.
It contained about 5600 pounds of chocolate. This
equals how many pounds of chocolate per square
foot of cookie?
14. If Chester can type 75 words in 100 seconds, how many
words could he type in 5 minutes?
In each pair of similar figures, find the missing side lengths.
•\5.A =
B=
C=
16. >A=
B=
4 min
Practice
Practin
10-5
10-4
Solving Proportions
Using Cross Products
What is a Proportion?
state wlwmer or not aach pair of ratkjs forms a proportion.
3 20 , 2 5
^- 12 * 15
12 * 14 _Na_
Solve each proportion.
, 10 , 45
2.18 ' 20
a 20
„ 3 , 15
*-4 ^ 2 0 -
J5_
Jto_
N0_
12.
9
14. 15
^ i ,j i 2j
Yes . i 7 . f i i f
"•f^^A^-YfeL 2 0 . ^ . ^
20
„
2 4 . ^ i ^ _ M
k-
'-is^^isls
=
32. Al Deliah's Hardware, you can buy 5 feet of PVC pips for $1.10.
or 8 feet for $1.76. Are these poces proportional?
UM .Mil p«gM 530-533.
117
4
,=
1
2,6
3 6
64
15 6
^
=•4 cakes 18 cakes
6aal _ Sgal
^ 5mm Ogal
"•1513-2^
^* 2 rnln " 15 min
5 gal 5 min
_
25 chairs lOlabte
25 chairs . 2 tabto Q . 25 chairs 10 chairs
™5 tables
2 chairs
5 tables
10 chairs ' & 5 tables ' 2 tables
18Jb ^28!b
„^36lb
16 lb
i _ 18_!b
b 14ft
«KS2i«--74¥
°-14fl
36 ft
31. Duringttiebutterfty stroke competitkjns st the 1972 Summer
Olympic Games. Mayumi Aoki swam 100 meters in 64 seconds,
and Kven Moe swam 200 meters in 136 seconds. Do these
rates form a proportion?
10
d-
'6-M
20
1?
tf.
25
14
y-
3
n =
10
8 P
'•36-9
.J6_
„
14 28
»-T6'T
30 24
-J-.^
16
JI5_
32
10.2
- 45 »
-2Q_
3 12
• 7 " T
"•20-4
2JL_
_2fl_
37. «
ant If 5 pints of water weigh 80 oz.
I M the weight of 12 pints of water
38. In 1967. a minimum wage worker would receive $84
for 60 hours of work. How much wouW the worker
receive for 75 hcxirs of worft?
118
UnMhK
$105
0 534-637.
Name .
Practice
Practlct
10-7
10-6
Solving Proportions
Using Unit Rates
Similar Figures
Find the missing side lengths.
Find the un^ rate lor each.
1. A -iSJiL B - 11jn.c-IfiJn, 2. A-Mm B .lA5_cm
2tsp
IZbooks
'• Jshehrea
9hSni
8.^iS^
4 U!t
*• 2 min
4
C =
15 3 2 - /
^5- 3 2
2
2
20-10
20 t
"•T"2
For Exercises 25-30. choose Vn« pioportion that is written correctty.
25_, 2Qn»n , Smen / T ^ 20 men _ 4men
4 men ^ 25wgmw
25 women 4 women '0*25 women 5 women ^' 5 women
20 men
» - ^ = 4 5 ^
s40
2 3
*~6
16.^
28 7
NO a i . | l j . ^ J f S s .
2 ^ 1 f . - ^ J i S L 23.|f^.^itoL
8.f = f
JUL
16.A
• 36 45
22 -
15. , 2 ^ 7
No
20
_2L_
ffi- 12
• 8 16
6.3
11. 12
j o,i y4
l a ^ i ^
30.:
I
7 28 gats
'• 4dog8
'J'^
^ ^ J ^
n
A
B
3. A - 3 m a . am c- 3 m
• Stapee
10.5 a
*.A- 12Jn. e Hx-r^titi.
c =12jn.
~7s
Till/
c
576 pt
apt
Tgil
120 mi
3hr
W
2 dHlS
- M - 17.^
7 women
Solve each proportk>n using unit rates.
5 £ t20
.^_
14 cows „ 2
25pt
IS. moose 10 moose
lOf? en
_4Jt_
esse
3 drops
50 gal • 3 0 gal
31.^='
4ineii
15.
375 ft'
• 25 people
3i carrots
Ijotato
2.5 om
1 person
7 hits
21 hits
• 2 ^nings 6 innings
15 meals
3 days
32gal^ i6gai
2hr
B
35, HIalory The ftorthiop XB-35 aircraft used in World War II
had a wingspan of 172 feet, Melba's model of this
aircraft has a wingspan of 21^ inches. How many feet
does one inch of the model repreeent?
a
14K
7. On the map, 1 inch equals B50 actual miles.
a. Whal are the actual distances between the cities?
New York to New Orleans
-=1174 mi
New Orleans to Miami
27jnin^9rnLn
33.
^ 4in^
24 ft
34, In 1909, French vrorkmen removed a white stork's nest
weighing 660 kilograms from the top of a cathedral. The
nest also weighed 1452 pounds. Using these measurements,
find tfw number of pounds In a kitogram.
Miami to New York
8 ft
2.21b
b. (s the tnangle shown on the map similar to ttie life-size
triangle? Explain.
Possible answer: No; Earth's surface is curved.
8. The lengths of ttie sides of a triangle are 45 cm. 55 cm.
and 70 cm. The shortest side of a similar triangle has
length 27 cm. What are the lengths of the other two
sides of the similar triangle?
_8JL
UW with f » g « 538-542.
176
8. A =7.8 cmfl= 3jsn c .7j2jiin
119
120
U»wittipaoo«W3-M6.
33 cm; 42 cm
Name .
Praiaiia
Praelln
10-8
Section 10B Review
What is a Percent?
Rnd ths unH nts for each ratio.
Give ttte p e n ^ ol each figurB that Is Shaded.
,.^_Jt_
40%
1.
Solve each proportion.
, 15__3.
50 10
. _3__ J _
.
13. In 1996, a chocolate chip cooMs with an area of S24C
square feel was maile by Coolile Time of New i^ealand.
It contakwd about 5600 pounds of chocolate. This
21
65%
About 1.07 Ib/t
WOrOS
In each pair of similar figures, fmd the ndssmg side lengths.
J—y
49%
37.5%
14. n Chaster can typo 75 words hlOO seconds, how many
words could he type In 5 mlniios?
i s v i . 3 5 l n . B = 2 1 inrf:-35in. t c A -
75%
90%
14_21
^ ' ^ ' ^ ^ y - - ^ ' ^ ^ ' ^ ' ^ ^
50%
74%
2.
13.6cin
B - 6.4cm
The circle graph shows the educational attainment
of Americans over 25 years oM h 1994. Use the
graph for Exercises 10-12.
10. What percent of the populatkin has compleled
less than 4 years of high school?
19%
4 years of high school or more?
81%
m.
4cm
8
11. Which category Includes the highest
percent of Americans over 25?
17. An Instant pasta dinner package contains a packe* o(
ptaln pasta phis a flavor packet welghtng ^ pound. If
the entire package weighs pound, what Is the weight
of the plain pasta? /Lesson 6-^
18. MUdred always has $200 of her monthly salary
transfened automatlcaily to a savings account.
The equation y « x - 200 gives the amount crt
her paycheck, where x Is her att«<-tax income.
Graph this equatton. ^Lesson 9-7i
4 yrs h.5. but < 4 yrs college
What Is the percent?
.
|
i
{
f
59%
12. Which two categories combined amount for 41% of
Americans over 257
< 4 yre h.s., > 4 yrs cotlefle
13. Geography 22% of the land In vwnam Is araUe
(sultabis for farming). What petcant Is not arablB?
UMwith paresis.
121
122
78%
Un«iSip.eM55(^4S3.
Practica
10-9
Estimating PercentS
Converting Percents to Fractions
and Decimals
Estimate what peroent of eachflgurob shaded.
im,
2.
"40%
3.
==60%
Convert to a fractkxi In lowest terms.
1. 80%
5.
--40%
5.
"40%
«.
-=60%
32%
S. 65%
5
A
M
2. 25%
6.
30%
10. 185%
i
''50%
8.
"50%
1 7 . i _ 7 0 % _ IB
=-80%
9.
21.0.41
41% 22
2 5 . ^ _ 4 ! % . «.4i
29.0.67
Estimate the percent.
L_
^
° 7 5 % 17.
B. 118% .
11. 63% _
12. 28% _
104% .
U. 18% _
15.
74%
19.
3%
75%
i . 50%
74% 24. 0.92 92%
2 7 . § 155%
30. 4.10 410% 31. 0.8
80%
10%
• 10 32. 0.137 13.7%
" 90%
percent:
IS. 73 out of 80 " 90% 14. 47 out of 77 = 60% 15. 93 out of 190 " 50%
"80%
7. 45% _
Ghn the shaded part of each figure as a percent, traction, and
1(r.13outof66 .^20% 11.31outot118 S . S % 1 2 . 18outof 21
16.
67%
4. 98% _
3. 78% _
^
13. 275% . ^
14. 84%
Convert to a percent
7.
10-10
TS&
1 8 . ^ "10% 1 9 . ^ "30%
21.:^ "7g%a.jl
"90%
23.§
40% 31.
I
55%
-'60%
24. In 1989, the EarthOnins Bakery In Fort Payne, Alabama,
set a world racom by baking a cake weighing 128,000 tb.
The cake Included 16,000 lb of Icing. About what percent
of the cake was Icing?
About 10%
25. Patents are Issued to Inventors to prevent others from
stealing their Ideas. In 1965,37,000 out of 63,000
patents were Issued to U.S. corporatkiis. About what
pereant Is this?
About 60%
Uw«rth|MeMSS*.557.
123
37. m 1993, about ^ of American children Ihrad wllh lelathns
other than their parents. Convert this value to a percent.
2%
38. in 1950, i of the Amsifcan populatlan was at least
65 years old. What percent Is this?
8%
124
UMirfaip.0M55S-G«Z.
177