Resources

Resources

Convert between customary and metric systems

How many ounces are there in

8\,\text{grams}

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1\,\text{g} \approx 0.035\,\text{oz}

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Round your answer to the nearest tenth.

7

3

blue balls in the box.

5

balls are randomly drawn from the box. What is the probability of the event \

10

feet is the same as how many meters?

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1

\approx 0.305

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Round your answer to the nearest tenth.

2

kilometers is how many miles?

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1

\approx 0.6

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Round your answer to the nearest tenth.

5

milliliters is how many teaspoons?

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1

\approx 0.2

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Round your answer to the nearest tenth.

How many gallons are there in

3

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1 \, \text{L} \approx 0.26 \, \text{gal}

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Round your answer to the nearest tenth.

2

liters is the same as how many gallons?

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1 \text{ L} \approx 0.26 \text{ gal}

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Round your answer to the nearest tenth.

8

pounds is the same as how many kilograms?

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1

\approx 0.454

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Round your answer to the nearest tenth.

4

kilograms is the same as how many pounds?

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1

\approx 2.2

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Round your answer to the nearest tenth.

Find the approximate radius of a circle with a circumference of

198

centimeters. Use

3

14

\pi

. Round to the nearest hundredth.

18

. A detergent bottle holds

700

milliliters. Find the capacity in liters.

Find the Area of the figure below, composed of a square and four semicircles. Rounded to the tenths place

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\newline

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\square

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BONUS: Find the volume of the shaded region. Round your answer to the nearest hundredth.

21

. It is recommended that

7.8 \mathrm{~mL}

of Grow-It-Right plant food be mixed with

2 \mathrm{~L}

of water for feeding houseplants. How much plant food should be mixed with

1 \mathrm{gal}

of water to maintain the same concentration? (

1 \mathrm{gal} \approx 3.8 \mathrm{~L}

.) Express the answer in milliliters.

What is the volume of a hemisphere with a radius of

26.7 \mathrm{~m}

, rounded to the nearest tenth of a cubic meter?

If the final product is equal to

0.072\,\text{ml/g}

6

4\,\text{g}

each, how many ml of water is needed per Jat?

1

16

minutes how long would it take you to get to

2400

A recipe calls for

460 \mathrm{~mL}

of milk. One cup is equivalent to

236.6 \mathrm{~mL}

. How many cups of milk does the recipe call for? Round your answer to the nearest hundredth.

2

2

hundred less than the smallest number you can make using all of the following digits?

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\begin{tabular}{|c|c|c|c|c|}

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0

3

4

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Given a circle of diameter

21 \mathrm{~cm}

, determine the arc length subtended by a central angle of

1

2

rad. Answer to the nearest tenth.

250 \mathrm{~mL}

of milk for every

325 \mathrm{~g}

of flour, if you make a bigger bacth to

500 \mathrm{~g}

of flour how much milk would you need.

What is the total number of different

10

-letter arrangements that can be formed using the letters in the word SUFFRAGIST?

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What is the total number of different

8

-letter arrangements that can be formed using the letters in the word ZIGGURAT?

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What is the total number of different

6

-letter arrangements that can be formed using the letters in the word QUASAR?

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What is the total number of different

12

-letter arrangements that can be formed using the letters in the word ANNUNCIATION?

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What is the total number of different

11

-letter arrangements that can be formed using the letters in the word GALVANIZING?

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A rectangular garden whose width is

4

meters less than its length has an area of

57

square meters. Find the dimensions of the garden to the nearest tenth of a meter.

Standard movie projectors project

24

still images, known as frames, each second. If a certain movie uses the standard frame rate and has exactly

129600

total frames, then, to the nearest whole minute, how long is the movie?

How many packets of milk having capacity of

250 \mathrm{ml}

can be packed from

10

litre amount of milk.

The area of a parallelogram is

4

, and the lengths of its sides are

2

8

2

. Determine, to the nearest tenth of a degree, the measure of the obtuse angle of the parallelogram.

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The area of a triangle is

4

. Two of the side lengths are

7

5

1

6

and the included angle is obtuse. Find the measure of the included angle, to the nearest tenth of a degree.

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The area of a parallelogram is

3094

, and the lengths of its sides are

73

52

. Determine, to the nearest tenth of a degree, the measure of the obtuse angle of the parallelogram.

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Specific gravity is the ratio, as a decimal, of the density of a substance to the density of water. Density is the ratio of the mass to the volume. The mass of

760

gallons of fuel is

2325

kilograms. A single gallon of water has a mass of about

3.8

kg. To the nearest tenth, what is the specific gravity of jet fuel?

The areas of two mathematically similar shapes are in the ratio

49:81

. The length of the smaller shape is

24.5\,\text{cm}

. Work out the length of the larger shape.

A graphing calculator is recommended.

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A grain silo consists of a cylindrical main section and a hemispherical roof. If the total volume of the silo (including the part inside the roof section) is

13,000 \mathrm{ft}^{3}

and the cylindrical part is

30 \mathrm{ft}

tall, what is the radius of the silo, correct to the nearest tenth of a foot?

If the volume of a right circular cylinder with a radius of

4

feet and a height of

30

a\pi

cubic feet, what is the value of

a

A mold culture covering

125 \mathrm{~cm}^{2}

shrinks to two-fifths of the previous day's size each day. How big is mold culture after five days?

2

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1 \mathrm{pts}

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Find the angle measure. Round to the nearest tenth.

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\tan x=1.16

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\mathrm{x}=

\newline

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(Enter your answer as a number with one decimal place.)

If the volume of a right circular cylinder with a radius of

4

feet and a height of

30

a\pi

cubic feet, what is the value of

a

\Delta IJK

i = 3.9

j = 3.5

k=2.3

inches. Find the measure of

\angle I

10

th of a degree.

What is the volume of a hemisphere with a radius of

55.8

\mathrm{in}

, rounded to the nearest tenth of a cubic inch?

\newline

\text{in}

^{3}

What is the volume of a sphere with a diameter of

6

7

\text{in}

, rounded to the nearest tenth of a cubic inch?

\newline

\text{in}

^{3}

Find the volume of a right circular cone that has a height of

14

\text{in}

and a base with a radius of

9

1

\text{in}

. Round your answer to the nearest tenth of a cubic inch.

\newline

\text{in}

^{3}

In a lab experiment,

40

bacteria are placed in a petri dish. The conditions are such that the number of bacteria is able to double every

28

hours. How many bacteria would there be after

10

hours, to the nearest whole number?

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In a lab experiment,

30

bacteria are placed in a petri dish. The conditions are such that the number of bacteria is able to double every

7

hours. How many bacteria would there be after

16

hours, to the nearest whole number?

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In a lab experiment,

6300

bacteria are placed in a petri dish. The conditions are such that the number of bacteria is able to double every

8

hours. How many bacteria would there be after

19

hours, to the nearest whole number?

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In a lab experiment,

10

bacteria are placed in a petri dish. The conditions are such that the number of bacteria is able to double every

13

hours. How many bacteria would there be after

19

hours, to the nearest whole number?

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In a lab experiment,

70

bacteria are placed in a petri dish. The conditions are such that the number of bacteria is able to double every

15

hours. How many bacteria would there be after

29

hours, to the nearest whole number?

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In a lab experiment,

400

bacteria are placed in a petri dish. The conditions are such that the number of bacteria is able to double every

28

hours. How many bacteria would there be after

30

hours, to the nearest whole number?

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In a lab experiment,

30

bacteria are placed in a petri dish. The conditions are such that the number of bacteria is able to double every

14

hours. How many bacteria would there be after

4

hours, to the nearest whole number?

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