Measurement Changing Customary Units Worksheet - Chapter 6 Ratios And Proportions Page 5
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1
2
3
4
5
61
_
2
1
_
4
28. No; 2 + 2 +
1
_
4
+
1
_
3
+ 4 = 8
7
_
12
c
punch and a 2-qt
pitcher holds 2 qt
·
2 pt
_
1 qt
·
2 c
_
1 pt
= 2 · 2
· 2 c or 8 c. Since
8 c < 8
7
_
12
c, the
pitcher will not
hold all of the
punch.
28. No; 2 + 2 +
1
_
4
+
1
_
3
+ 4 = 8
7
_
12
c
punch and a 2-qt
pitcher holds 2 qt
·
2 pt
_
1 qt
·
2 c
_
1 pt
= 2 · 2
· 2 c or 8 c. Since
8 c < 8
7
_
12
c, the
pitcher will not
hold all of the
punch.
29. No; 15 in. +
4
1
_
2
in. + 6
3
_
4
in. =
26
1
_
4
in. and 26
1
_
4
÷
12 = 2
3
_
16
. So, it
snowed a total of
2
3
_
16
ft or about 2 ft,
not 2
1
_
2
ft.
29. No; 15 in. +
4
1
_
2
in. + 6
3
_
4
in. =
26
1
_
4
in. and 26
1
_
4
÷
12 = 2
3
_
16
. So, it
snowed a total of
2
3
_
16
ft or about 2 ft,
not 2
1
_
2
ft.
about 8
1
_
2
mi
about 8
1
_
2
mi
3 gal; Sample answer: the graph increases by 1 gallon for every 4 quarts.
3 gal; Sample answer: the graph increases by 1 gallon for every 4 quarts.
38. Sample answer:
Annabelle is
making brownies.
The recipe calls for
2 cups of sour
cream. She has
2 pints of sour
cream. Does she
have enough sour
cream to make the
brownies?
38. Sample answer:
Annabelle is
making brownies.
The recipe calls for
2 cups of sour
cream. She has
2 pints of sour
cream. Does she
have enough sour
cream to make the
brownies?
See margin.
See margin.
PUNCH
Will a 2-quart pitcher
28.
hold the entire recipe of citrus
punch given at the right? Explain
your reasoning.
WEATHER
On Monday, it snowed
29.
a total of 15 inches. On Tuesday
and Wednesday, it snowed an
_
_
1
3
additional 4
inches and 6
inches,
2
4
respectively. A weather forecaster says that over the last three days,
_
1
it snowed about 2
feet. Is this a valid claim? Justify your answer.
2
MEASUREMENT
Complete the following statements.
_
1
If 16 c = 1 gal, then 1
gal =
c 20
30.
4
If 1,760 yd = 1 mi, then 880 yd =
mi
31.
If 36 in. = 1 yd, then 2.3 yd =
in. 82.8
32.
ESTIMATION
Cristos is a member of the swim team and trains by swimming
33.
an average of 3,000 yards a day. About how many miles would he swim by
training at this rate for 5 days, to the nearest half-mile?
y
MEASUREMENT
For Exercises
3
34–37, use the graph at the right.
2
What does an ordered pair
34.
from this graph represent? See margin.
1
Find the slope of the line.
35.
x
0
2
4
6
8
10
Use the graph to find the See margin.
36.
Capacity in Quarts
capacity in quarts of a 2.5-gallon container. Explain your reasoning.
EXTRA
Use the graph to predict the capacity in gallons of a 12-quart container.
37.
See pages 682, 709.
Explain your reasoning.
H.O.T.
Problems
OPEN ENDED
Write a problem about a real-world situation in which you
38.
would need to convert pints to cups.
REASONING
Replace each
with <, >, or = to make a true sentence.
Justify your answers. 39–41. See margin for justification.
_
_
1
3
16 in.
1
ft <
8
gal
32 qt >
2.7 T
86,400 oz =
39.
40.
41.
2
4
CHALLENGE
To whiten fabrics, a certain Web site recommends that you soak
42.
_
3
them in a mixture of
cup vinegar, 2 quarts water, and some salt. Does a
4
mixture that contains 1.5 ounces vinegar and 16 ounces water have the
same vinegar-to-water ratio as the recommended mixture? Explain.
MATH
Use multiplication by unit ratios of equivalent
43.
measures to convert 5 square feet to square inches. Justify your
answer. See margin.
302
Chapter 6 Ratios and Proportions
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