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Practice set e

It takes person A 4 hours less than person B to complete a certain task. Working together, both can complete the task in 8 3 hours. How long does it take each person to complete the task working alone?

Step 1:

Step 2:





Step 3:





Step 4:



Step 5:

Person A, 4 hr to complete the task; person B, 8 hr complete the task.

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Sample set f

The width of a rectangle is 1 3 its length. Find the dimensions (length and width) if the perimeter is 16 cm.

Step 1:  Let x = length. Then, x 3 = width.

Step 2:  Make a sketch of the rectangle.
A rectangle with the length as
The perimeter of a figure is the total length around the figure.
x + x 3 + x + x 3 = 16 2 x + 2 x 3 = 16 Step 3: 2 x + 2 x 3 = 16. The LCD is 3 . 3 · 2 x + 3 · 2 x 3 = 3 · 16 6 x + 2 x = 48 8 x = 48 x = 6 Check this potential solution . Step 4: 6 + 6 3 + 6 + 6 3 = 16 Is this correct? 6 + 2 + 6 + 2 = 16 Is this correct? 16 = 16 Yes, this is correct. Since  x = 6 , x 3 = 6 3 = 2 Step 5 : The length = 6 cm and the width = 2 cm .

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Practice set f

The width of a rectangle is 1 12 its length. Find the dimensions (length and width) if the perimeter is 78 feet.

Step 1:



Step 2:




Step 3:




Step 4:



Step 5:

length = 36 ft, width = 3 ft.

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Exercises

For the following problems, solve using the five-step method.

When the same number is added to both the numerator and denominator of the fraction 3 7 , the result is 2 3 . What is the number?

The number added is 5.

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When the same number is added to both the numerator and denominator of the fraction 5 8 , the result is 3 4 . What is the number?

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When the same number is added to both the numerator and denominator of the fraction 3 8 , the result is 1 6 . What is the number?

The number added is 2.

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When the same number is added to both the numerator and denominator of the fraction 7 9 , the result is 2 3 . What is the number?

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When the same number is subtracted from both the numerator and denominator of 1 10 , the result is 2 3 . What is the number?

The number subtracted is 17.

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When the same number is subtracted from both the numerator and denominator of 3 4 , the result is 5 6 . What is the number?

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One third of a number added to the reciprocal of number yields 13 6 . What is the number?

x = 1 2 , 6

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Four fifths of a number added to the reciprocal of number yields 81 10 . What is the number?

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One half of a number added to twice the reciprocal of the number yields 2. What is the number?

2

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One fourth of a number added to four times the reciprocal of the number yields 10 3 . What is the number?

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One inlet pipe can fill a tank in 8 hours. Another inlet pipe can fill the tank in 5 hours. How long does it take both pipes working together to fill the tank?

3 1 13  hours

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One pipe can drain a pool in 12 hours. Another pipe can drain the pool in 15 hours. How long does it take both pipes working together to drain the pool?

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A faucet can fill a bathroom sink in 1 minute. The drain can empty the sink in 2 minutes. If both the faucet and drain are open, how long will it take to fill the sink?

two minutes

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A faucet can fill a bathtub in 6 1 2 minutes. The drain can empty the tub in 8 1 3 minutes. If both the faucet and drain are open, how long will it take to fill the bathtub?

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An inlet pipe can fill a tank in 5 hours. An outlet pipe can empty the tank in 4 hours. If both pipes are open, can the tank be filled? Explain.

No. x = 20 hours.

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Questions & Answers

the diagram of the digestive system
Assiatu Reply
allimentary cannel
Ogenrwot
How does twins formed
William Reply
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
what is genetics
Josephine Reply
Genetics is the study of heredity
Misack
how does twins formed?
Misack
What is manual
Hassan Reply
discuss biological phenomenon and provide pieces of evidence to show that it was responsible for the formation of eukaryotic organelles
Joseph Reply
what is biology
Yousuf Reply
the study of living organisms and their interactions with one another and their environments
AI-Robot
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
Joseph Reply
what is the blood cells
Shaker Reply
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
Abdullahi Reply
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
What is classification
ISCONT Reply
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?
Kenna Reply
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
cell is the building block of life.
Condoleezza Reply
what is cell divisoin?
Aron Reply
Diversity of living thing
ISCONT
what is cell division
Aron Reply
Cell division is the process by which a single cell divides into two or more daughter cells. It is a fundamental process in all living organisms and is essential for growth, development, and reproduction. Cell division can occur through either mitosis or meiosis.
AI-Robot
What is life?
Allison Reply
life is defined as any system capable of performing functions such as eating, metabolizing,excreting,breathing,moving,Growing,reproducing,and responding to external stimuli.
Mohamed
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Source:  OpenStax, Elementary algebra. OpenStax CNX. May 08, 2009 Download for free at http://cnx.org/content/col10614/1.3
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