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 Contemporary math applications
 Exam 2
 Ratio and proportions
 Ratios and rates: summary of
This module is from Fundamentals of Mathematics by Denny Burzynski and Wade Ellis, Jr. This module reviews the key concepts from the chapter "Ratios and Rates."
Summary of key concepts
Denominate numbers (
[link] )
Numbers that appear along with units are
denominate numbers . The amounts 6 dollars and 4 pints are examples of denominate numbers.
Like and unlike denominate numbers (
[link] )
Like denominate numbers are denominate numbers with like units. If the units are not the same, the numbers are
unlike denominate numbers .
Pure numbers (
[link] )
Numbers appearing without a unit are
pure numbers .
Comparing numbers by subtraction and division (
[link] )
Comparison of two numbers by subtraction indicates how much more one number is than another. Comparison by division indicates how many times larger or smaller one number is than another.
Comparing pure or like denominate numbers by subtraction (
[link] )
Numbers can be compared by subtraction if and only if they are pure numbers or like denominate numbers.
Ratio rate (
[link] )
A comparison, by division, of two like denominate numbers is a
ratio . A comparison, by division, of two unlike denominate numbers is a
rate .
Proportion (
[link] )
A
proportion is a statement that two ratios or rates are equal.
$\frac{3\text{people}}{\text{2 jobs}}=\frac{6\text{people}}{\text{4 jobs}}$ is a proportion.
Solving a proportion (
[link] )
To
solve a proportion that contains three known numbers and a letter that represents an unknown quantity, perform the cross multiplication, then divide the product of the two numbers by the number that multiplies the letter.
Proportions involving rates (
[link] )
When writing a proportion involving rates it is very important to write it so that the same type of units appears on the same side of either the equal sign or the fraction bar.
$\frac{\text{unit type 1}}{\text{unit type 2}}=\frac{\text{unit type 1}}{\text{unit type 2}}\text{or}\frac{\text{unit type 1}}{\text{unit type 1}}=\frac{\text{unit type 2}}{\text{unit type 2}}$
Fivestep method for solving proportions (
[link] )
 By careful reading, determine what the unknown quantity is and represent it with some letter. There will be only one unknown in a problem.
 Identify the three specified numbers.
 Determine which comparisons are to be made and set up the proportion.
 Solve the proportion.
 Interpret and write a conclusion.
When solving applied problems, ALWAYS begin by determining the unknown quantity and representing it with a letter.
Percents (
[link] )
A ratio in which one number is compared to 100 is a
percent . Percent means "for each hundred."
Conversion of fractions, decimals, and percents (
[link] )
It is possible to convert decimals to percents, fractions to percents, percents to decimals, and percents to fractions.
Applications of percents:
The three basic types of percent problems involve a
base , a
percentage , and a
percent .
The
base is the number used for comparison.
Percentage (
[link] )
The
percentage is the number being compared to the base.
By its definition,
percent means
part of .
Solving problems (
[link] )
$\text{Percentage}=(\text{percent})\times (\text{base})$
$\text{Percent}=\frac{\text{percentage}}{\text{base}}$
$\text{Base}=\frac{\text{percentage}}{\text{percent}}$
Questions & Answers
how can chip be made from sand
is this allso about nanoscale material
Almas
Hello, if I study Physics teacher in bachelor, can I study Nanotechnology in master?
where is the latest information on a no technology how can I find it
William
where we get a research paper on Nano chemistry....?
nanopartical of organic/inorganic / physical chemistry , pdf / thesis / review
Ali
what are the products of Nano chemistry?
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
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
Application of nanotechnology in medicine
has a lot of application modern world
Kamaluddeen
what is variations in raman spectra for nanomaterials
ya I also want to know the raman spectra
Bhagvanji
I only see partial conversation and what's the question here!
what about nanotechnology for water purification
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
Nasa has use it in the 60's, copper as water purification in the moon travel.
Alexandre
nanocopper obvius
Alexandre
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?
What is meant by 'nano scale'?
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 ?
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
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Source:
OpenStax, Contemporary math applications. OpenStax CNX. Dec 15, 2014 Download for free at http://legacy.cnx.org/content/col11559/1.6
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