# 7.8 Exercise supplement

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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.

## Ratios and rates ( [link] )

Compare 250 watts to 100 watts by subtraction.

250 watts are 150 watts more than 100 watts

Compare 126 and 48 by subtraction.

Compare 98 radishes to 41 radishes by division.

98 radishes are 2.39 times as many radishes as 41 radishes

Compare 144 to 9 by division.

Compare 100 tents to 5 tents by division.

100 tents are 20 times as many tents as 5 tents

Compare 28 feet to 7 feet by division.

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

ratio

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

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

15 to 5

$\frac{3}{1}$

72 to 12

8 millimeters to 5 milliliters

$\frac{8\text{ml}}{5\text{ml}}$

106 tablets to 52 tablets

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

$\frac{9}{16}$

9 to 16

$\frac{5}{11}$

1 diskette to 8 diskettes

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

$\frac{9}{16}=\frac{18}{32}$

9 is to 16 as 18 is to 32

$\frac{1}{4}=\frac{12}{48}$

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

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

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

$\frac{20}{4}=\frac{5}{1}$
20 people are to 4 seats as 5 people are to 1 seat

## Proportions ( [link] )

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

$\frac{x}{3}=\frac{24}{9}$

$\frac{15}{7}=\frac{60}{x}$

28

$\frac{1}{1}=\frac{x}{44}$

$\frac{3}{x}=\frac{15}{50}$

10

406

## Applications of proportions ( [link] )

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

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

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

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

$\frac{320}{3}$ or 106 $\frac{2}{3}$

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?

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

Every 1 $\frac{3}{4}$ 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?

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

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

0.16

16%

0.818

5.3536

535.36%

0.50

3

300%

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

62%

1.58%

0.0158

9.15%

0.06%

0.0006

0.003%

$5\frac{3}{11}$ % to a three-place decimal

0.053

$\frac{9}{13}$ % to a three-place decimal

82 $\frac{25}{29}$ % to a four-place decimal

0.8286

$18\frac{1}{7}$ % to a four-place decimal

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

$\frac{3}{5}$

60%

$\frac{2}{10}$

$\frac{5}{16}$

31.25%

$\frac{35}{8}$

$\frac{105}{16}$

656.25%

45 $\frac{1}{11}$

6 $\frac{278}{9}$

$3688.\stackrel{_}{8}%$

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

95%

12%

$\frac{3}{25}$

83%

38.125%

$\frac{61}{160}$

$61.\stackrel{_}{2}%$

$\frac{5}{8}%$

$\frac{1}{160}$

$6\frac{9}{20}%$

$15\frac{3}{22}$ %

$\frac{2977}{19800}$

$106\frac{19}{45}%$

## Applications of percents ( [link] )

For problems 65-72, find each solution.

What is 16% of 40?

6.4

29.4 is what percent of 105?

$3\frac{21}{50}$ is 547.2% of what number?

0.625 or $\frac{5}{8}$

0.09378 is what percent of 52.1?

What is 680% of 1.41?

9.588

A kitchen knife is on sale for 15% off the marked price. If the marked price is $39.50, what is the sale price? On an 80 question geology exam, a student gets 68 correct. What percent is correct? 85 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?

#### Questions & Answers

where we get a research paper on Nano chemistry....?
Maira Reply
what are the products of Nano chemistry?
Maira Reply
There are lots of products of nano chemistry... Like nano coatings.....carbon fiber.. And lots of others..
learn
Even nanotechnology is pretty much all about chemistry... Its the chemistry on quantum or atomic level
learn
Google
da
no nanotechnology is also a part of physics and maths it requires angle formulas and some pressure regarding concepts
Bhagvanji
Preparation and Applications of Nanomaterial for Drug Delivery
Hafiz Reply
revolt
da
Application of nanotechnology in medicine
what is variations in raman spectra for nanomaterials
Jyoti Reply
I only see partial conversation and what's the question here!
Crow Reply
what about nanotechnology for water purification
RAW Reply
please someone correct me if I'm wrong but I think one can use nanoparticles, specially silver nanoparticles for water treatment.
Damian
yes that's correct
Professor
I think
Professor
Nasa has use it in the 60's, copper as water purification in the moon travel.
Alexandre
nanocopper obvius
Alexandre
what is the stm
Brian Reply
is there industrial application of fullrenes. What is the method to prepare fullrene on large scale.?
Rafiq
industrial application...? mmm I think on the medical side as drug carrier, but you should go deeper on your research, I may be wrong
Damian
How we are making nano material?
LITNING Reply
what is a peer
LITNING Reply
What is meant by 'nano scale'?
LITNING Reply
What is STMs full form?
LITNING
scanning tunneling microscope
Sahil
how nano science is used for hydrophobicity
Santosh
Do u think that Graphene and Fullrene fiber can be used to make Air Plane body structure the lightest and strongest. Rafiq
Rafiq
what is differents between GO and RGO?
Mahi
what is simplest way to understand the applications of nano robots used to detect the cancer affected cell of human body.? How this robot is carried to required site of body cell.? what will be the carrier material and how can be detected that correct delivery of drug is done Rafiq
Rafiq
if virus is killing to make ARTIFICIAL DNA OF GRAPHENE FOR KILLED THE VIRUS .THIS IS OUR ASSUMPTION
Anam
analytical skills graphene is prepared to kill any type viruses .
Anam
Any one who tell me about Preparation and application of Nanomaterial for drug Delivery
Hafiz
what is Nano technology ?
Bob Reply
write examples of Nano molecule?
Bob
The nanotechnology is as new science, to scale nanometric
brayan
nanotechnology is the study, desing, synthesis, manipulation and application of materials and functional systems through control of matter at nanoscale
Damian
Is there any normative that regulates the use of silver nanoparticles?
Damian Reply
what king of growth are you checking .?
Renato
What fields keep nano created devices from performing or assimulating ? Magnetic fields ? Are do they assimilate ?
Stoney Reply
why we need to study biomolecules, molecular biology in nanotechnology?
Adin Reply
?
Kyle
yes I'm doing my masters in nanotechnology, we are being studying all these domains as well..
Adin
why?
Adin
what school?
Kyle
biomolecules are e building blocks of every organics and inorganic materials.
Joe
how did you get the value of 2000N.What calculations are needed to arrive at it
Smarajit Reply
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Tanis Reply

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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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