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This module is from Fundamentals of Mathematics by Denny Burzynski and Wade Ellis, Jr. This module is an exercise supplement for the chapter "Ratios and Rates" and contains many exercise problems. Odd problems are accompanied by solutions.

Exercise supplement

Ratios and rates ( [link] )

Compare 250 watts to 100 watts by subtraction.

250 watts are 150 watts more than 100 watts

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Compare 126 and 48 by subtraction.

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Compare 98 radishes to 41 radishes by division.

98 radishes are 2.39 times as many radishes as 41 radishes

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Compare 144 to 9 by division.

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Compare 100 tents to 5 tents by division.

100 tents are 20 times as many tents as 5 tents

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Compare 28 feet to 7 feet by division.

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Comparison, by division, of two pure numbers or two like denominate numbers is called a .

ratio

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A comparison, by division, of two unlike denominate numbers is called a .

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For problems 9-12, express each ratio or rate as a fraction.

8 millimeters to 5 milliliters

8 ml 5 ml

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106 tablets to 52 tablets

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For problems 13-16, write each ratio in the form " a to b ".

1   diskette 8   diskettes

1 diskette to 8 diskettes

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For problems 17-21, write each ratio or rate using words.

9 16 = 18 32

9 is to 16 as 18 is to 32

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8   items 4   dollars = 2   items 1   dollar

8 items are to 4 dollars as 2 items are to 1 dollar

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150 milligrams of niacin is to 2 tablets as 300 milligrams of niacin is to 4 tablets.

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20 people is to 4 seats as 5 people is to 1 seat.

20 4 = 5 1
20 people are to 4 seats as 5 people are to 1 seat

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Proportions ( [link] )

For problems 22-27, determine the missing number in each proportion.

15   bats 16   balls = x   bats 128   balls

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36   rooms 29   fans = 504   rooms x   fans

406

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Applications of proportions ( [link] )

On a map, 3 inches represents 20 miles. How many miles does 27 inches represent?

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A salt solution is composed of 8 parts of salt to 5 parts of water. How many parts of salt are there in a solution that contains 50 parts of water?

80

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A model is built to 4 15 scale. If a particular part of the model measures 8 inches in length, how long is the actual structure?

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The ratio of ammonia to air in a container is 3 40 How many milliliters of air should be in a container that contains 8 milliliters of ammonia?

320 3 or 106 2 3

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A 4-foot girl casts a 9-foot shadow at a particular time of the day. How tall is a pole that casts a 144-foot shadow at the same time of the day?

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The odds that a particular event will occur are 11 to 2. If this event occurs 55 times, how many times would you predict it does not occur?

10

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Every 1 3 4 teaspoon of a multiple vitamin, in granular form, contains 0.85 the minimum daily requirement of vitamin A. How many teaspoons of this vitamin are required to supply 2.25 the minimum daily requirement?

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Percent and fractions of one percent ( [link] , [link] )

For problems 35-39, convert each decimal to a percent.

For problems 40-48, convert each percent to a decimal.

5 3 11 % to a three-place decimal

0.053

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9 13 % to a three-place decimal

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82 25 29 % to a four-place decimal

0.8286

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18 1 7 % to a four-place decimal

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For problems 49-55, convert each fraction or mixed number to a percent.

For problems 56-64, convert each percent to a fraction or mixed number.

Applications of percents ( [link] )

For problems 65-72, find each solution.

29.4 is what percent of 105?

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3 21 50 is 547.2% of what number?

0.625 or 5 8

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0.09378 is what percent of 52.1?

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What is 680% of 1.41?

9.588

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A kitchen knife is on sale for 15% off the marked price. If the marked price is $ 39.50, what is the sale price?

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On an 80 question geology exam, a student gets 68 correct. What percent is correct?

85

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A salesperson makes a commission of 18% of her monthly sales total. She also receives a monthly salary of $1,600.00. If, in a particular month, she sells $4,000.00 worth of merchandise, how much will she make that month?

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Questions & Answers

if three forces F1.f2 .f3 act at a point on a Cartesian plane in the daigram .....so if the question says write down the x and y components ..... I really don't understand
Syamthanda Reply
hey , can you please explain oxidation reaction & redox ?
Boitumelo Reply
hey , can you please explain oxidation reaction and redox ?
Boitumelo
for grade 12 or grade 11?
Sibulele
the value of V1 and V2
Tumelo Reply
advantages of electrons in a circuit
Rethabile Reply
we're do you find electromagnetism past papers
Ntombifuthi
what a normal force
Tholulwazi Reply
it is the force or component of the force that the surface exert on an object incontact with it and which acts perpendicular to the surface
Sihle
what is physics?
Petrus Reply
what is the half reaction of Potassium and chlorine
Anna Reply
how to calculate coefficient of static friction
Lisa Reply
how to calculate static friction
Lisa
How to calculate a current
Tumelo
how to calculate the magnitude of horizontal component of the applied force
Mogano
How to calculate force
Monambi
a structure of a thermocouple used to measure inner temperature
Anna Reply
a fixed gas of a mass is held at standard pressure temperature of 15 degrees Celsius .Calculate the temperature of the gas in Celsius if the pressure is changed to 2×10 to the power 4
Amahle Reply
How is energy being used in bonding?
Raymond Reply
what is acceleration
Syamthanda Reply
a rate of change in velocity of an object whith respect to time
Khuthadzo
how can we find the moment of torque of a circular object
Kidist
Acceleration is a rate of change in velocity.
Justice
t =r×f
Khuthadzo
how to calculate tension by substitution
Precious Reply
hi
Shongi
hi
Leago
use fnet method. how many obects are being calculated ?
Khuthadzo
khuthadzo hii
Hulisani
how to calculate acceleration and tension force
Lungile Reply
you use Fnet equals ma , newtoms second law formula
Masego
please help me with vectors in two dimensions
Mulaudzi Reply
how to calculate normal force
Mulaudzi
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Source:  OpenStax, Fundamentals of mathematics. OpenStax CNX. Aug 18, 2010 Download for free at http://cnx.org/content/col10615/1.4
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