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Math Problems
Algebra 1
Convert rates and measurements: customary units
Convert.
\newline
80
80
80
fluid ounces
=
=
=
_
_
_
_
\_\_\_\_
____
cups
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Convert.
\newline
98
98
98
cups
=
=
=
_
_
_
_
_
\_\_\_\_\_
_____
fluid ounces
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Convert.
\newline
96
96
96
fluid ounces
=
=
=
_
_
_
_
\_\_\_\_
____
quarts
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The inclination (tilt) of an amusement park ride is accelerating at a rate of
2160
degrees
min
2
2160 \frac{\text { degrees }}{\min ^{2}}
2160
m
i
n
2
degrees
.
\newline
What is the ride's acceleration rate in
degrees
s
2
\frac{\text { degrees }}{\mathrm{s}^{2}}
s
2
degrees
?
\newline
□
\square
□
degrees
s
2
\frac{\text { degrees }}{\mathrm{s}^{2}}
s
2
degrees
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Bulan rows on a crew team. Her team rows their boat at a split (rate) of
2
m
i
n
500
m
\frac{2 \mathrm{~min}}{500 \mathrm{~m}}
500
m
2
min
.
\newline
What is Bulan's team's rowing rate in
m
min
\frac{\mathrm{m}}{\min }
m
i
n
m
?
\newline
□
\square
□
m
min
\frac{\mathrm{m}}{\min }
m
i
n
m
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In
2016
2016
2016
, the city of Rio de Janeiro had a population density of
5377
people
k
m
2
5377 \frac{\text { people }}{\mathrm{km}^{2}}
5377
km
2
people
.
\newline
What was the population density of Rio de Janeiro in people per square meter?
\newline
□
\square
□
people
m
2
\frac{\text { people }}{\mathrm{m}^{2}}
m
2
people
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Uche pumps gasoline at a rate of
18
L
min
18 \frac{\mathrm{L}}{\min }
18
m
i
n
L
.
\newline
What is Uche's pumping rate in
m
L
s
\frac{\mathrm{mL}}{\mathrm{s}}
s
mL
?
\newline
□
\square
□
m
L
s
\frac{\mathrm{mL}}{\mathrm{s}}
s
mL
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Mia paints interior walls at a rate of
12
m
2
h
12 \frac{\mathrm{m}^{2}}{\mathrm{~h}}
12
h
m
2
.
\newline
At what rate does Mia paint in
c
m
2
min
\frac{\mathrm{cm}^{2}}{\min }
m
i
n
cm
2
?
\newline
□
\square
□
c
m
2
min
\frac{\mathrm{cm}^{2}}{\min }
m
i
n
cm
2
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A pitcher's arm rotates at a speed of
7
7
7
degrees per millisecond
(
degrees
m
s
)
\left(\frac{\text { degrees }}{\mathrm{ms}}\right)
(
ms
degrees
)
.
\newline
At what speed does the pitcher's arm rotate in
degrees
s
\frac{\text { degrees }}{\mathrm{s}}
s
degrees
?
\newline
degrees
s
\frac{\text { degrees }}{\mathrm{s}}
s
degrees
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The water pressure on Mustafa as he dives is increasing at a rate of
0
0
0
.
992
992
992
atmospheres (atm) per meter
(
m
)
(\mathrm{m})
(
m
)
.
\newline
What is the rate of increase in water pressure in
a
t
m
k
m
\frac{\mathrm{atm}}{\mathrm{km}}
km
atm
?
\newline
□
\square
□
a
t
m
k
m
\frac{\mathrm{atm}}{\mathrm{km}}
km
atm
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A certain food has a gluten ratio of
13
m
g
13 \mathrm{mg}
13
mg
of gluten per
L
\mathrm{L}
L
of the food.
\newline
What is the gluten ratio in micrograms per milliliter
(
μ
g
m
L
)
\left(\frac{\mu \mathrm{g}}{\mathrm{mL}}\right)
(
mL
μ
g
)
?
\newline
□
\square
□
μ
g
m
L
\frac{\mu \mathrm{g}}{\mathrm{mL}}
mL
μ
g
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The inclination (tilt) of an amusement park ride is accelerating at a rate of
2160
degrees
min
2
2160 \frac{\text { degrees }}{\min ^{2}}
2160
m
i
n
2
degrees
.
\newline
What is the ride's acceleration rate in
degrees
s
2
\frac{\text { degrees }}{\mathrm{s}^{2}}
s
2
degrees
?
\newline
degrees
s
2
\frac{\text { degrees }}{\mathrm{s}^{2}}
s
2
degrees
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Lúcia is using energy at a rate of
420
420
420
kilocalories (
k
c
a
l
\mathrm{kcal}
kcal
) per hour (h) ice skating.
\newline
At what rate is Lúcia using energy in calories per minute
(
c
a
l
m
i
n
)
\left(\frac{\mathrm{cal}}{\mathrm{min}}\right)
(
min
cal
)
?
\newline
□
\square
□
cal
min
\frac{\text { cal }}{\min }
m
i
n
cal
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Charlotte is running at a rate of
9
km
h
\frac{9\,\text{km}}{\text{h}}
h
9
km
. What is Charlotte's speed in
m
s
\frac{\text{m}}{\text{s}}
s
m
?
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Riya is applying mulch to her garden. She applies it at a rate of
250
,
000
cm
3
250,000\text{cm}^{3}
250
,
000
cm
3
of mulch for every
m
2
\text{m}^{2}
m
2
of garden space.
\newline
At what rate is Riya applying mulch in
(
m
3
m
2
)
\left(\frac{\text{m}^{3}}{\text{m}^{2}}\right)
(
m
2
m
3
)
?
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A sheet of glass has a density of
2.5
g
cm
3
\frac{2.5\,\text{g}}{\text{cm}^3}
cm
3
2.5
g
.
\newline
What is the density of the glass in
kg
m
3
\frac{\text{kg}}{\text{m}^3}
m
3
kg
?
\newline
□
\square
□
kg
m
3
\frac{\text{kg}}{\text{m}^3}
m
3
kg
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A sound wave travels through iron at a rate of
5120
m
s
\frac{5120\,\text{m}}{\text{s}}
s
5120
m
.
\newline
At what rate does the sound wave travel in
km
h
\frac{\text{km}}{\text{h}}
h
km
?
\newline
□
\square
□
km
h
\frac{\text{km}}{\text{h}}
h
km
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Lily's car has a fuel efficiency of
8
liters
8 \text{ liters}
8
liters
per
100
kilometers
100 \text{ kilometers}
100
kilometers
.
\newline
What is the fuel efficiency of Lily's car in
kilometers
\text{kilometers}
kilometers
per
liter
\text{liter}
liter
?
\newline
km
L
\frac{\text{km}}{\text{L}}
L
km
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An electrolyte solution has an average current density of
1
A
dm
2
1\,\frac{\text{A}}{\text{dm}^2}
1
dm
2
A
.
\newline
What is the current density of the solution in
A
m
2
\frac{\text{A}}{\text{m}^2}
m
2
A
?
\newline
□
\square
□
A
m
2
\frac{\text{A}}{\text{m}^2}
m
2
A
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Convert.
\newline
66
66
66
cups
=
=
=
_
_
_
_
_
\_\_\_\_\_
_____
fluid ounces
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