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- Fundamentals of mathematics
- Algebraic expressions and
- Applications ii: solving problems
Consecutive integers have the property that if
Consecutive odd or even integers have the property that if
The sum of three consecutive odd integers is equal to one less than twice the first odd integer. Find the three integers.
-
- Translate the words to mathematical symbols and construct an equation. Read phrases.
-
- Check this result.
The sum of the three integers is
One less than twice the first integer is
. Since these two results are equal, the solution checks.
- The three odd integers are -7, -5, -3.
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Practice set a
The sum of three consecutive even integers is six more than four times the middle integer. Find the integers.
- Let
smallest integer.
= next integer.
= largest integer.
- Check:
- The integers are
,
, and
.
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Geometry problems
Sample set b
The perimeter (length around) of a rectangle is 20 meters. If the length is 4 meters longer than the width, find the length and width of the rectangle.
- Let
the width of the rectangle. Then,
the length of the rectangle.
- We can draw a picture.
The length around the rectangle is
-
- Check:
- The length of the rectangle is 7 meters.
The width of the rectangle is 3 meters.
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Practice set b
The perimeter of a triangle is 16 inches. The second leg is 2 inches longer than the first leg, and the third leg is 5 inches longer than the first leg. Find the length of each leg.
- Let
length of the first leg.
= length of the second leg.
= length of the third leg.
- We can draw a picture.
- Check:
- The lengths of the legs are
,
, and
.
3 inches, 5 inches, and 8 inches
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Exercises
For the following 17 problems, find each solution using the five-step method.
Questions & Answers
evolutionary history and relationship of an organism or group of organisms
AI-Robot
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AI-Robot
HOW CAN MAN ORGAN FUNCTION
the diagram of the digestive system
allimentary cannel
Ogenrwot
They formed in two ways first when one sperm and one egg are splited by mitosis or two sperm and two eggs join together
Oluwatobi
Genetics is the study of heredity
Misack
how does twins formed?
Misack
discuss biological phenomenon and provide pieces of evidence to show that it was responsible for the formation of eukaryotic organelles
the study of living organisms and their interactions with one another and their environment.
Wine
discuss the biological phenomenon and provide pieces of evidence to show that it was responsible for the formation of eukaryotic organelles in an essay form
list any five characteristics of the blood cells
Shaker
lack electricity and its more savely than electronic microscope because its naturally by using of light
advantage of electronic microscope is easily and clearly while disadvantage is dangerous because its electronic. advantage of light microscope is savely and naturally by sun while disadvantage is not easily,means its not sharp and not clear
Abdullahi
cell theory state that every organisms composed of one or more cell,cell is the basic unit of life
Abdullahi
is like gone fail us
DENG
cells is the basic structure and functions of all living things
Ramadan
is organisms that are similar into groups called tara
Yamosa
in what situation (s) would be the use of a scanning electron microscope be ideal and why?
A scanning electron microscope (SEM) is ideal for situations requiring high-resolution imaging of surfaces. It is commonly used in materials science, biology, and geology to examine the topography and composition of samples at a nanoscale level. SEM is particularly useful for studying fine details,
Hilary
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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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