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Translate the word phrase into an algebraic expression:

427 miles per h hours

x students to 3 teachers

y dollars for 18 hours

Solution

427 miles per h hours
Write as a rate. 427 miles h hours
x students to 3 teachers
Write as a rate. x students 3 teachers
y dollars for 18 hours
Write as a rate. $ y 18 hours
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Translate the word phrase into an algebraic expression.

689 miles per h hours y parents to 22 students d dollars for 9 minutes

  1. 689 mi/ h hours
  2. y parents/22 students
  3. $ d /9 min

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Translate the word phrase into an algebraic expression.

m miles per 9 hours x students to 8 buses y dollars for 40 hours

  1. m mi/9 h
  2. x students/8 buses
  3. $ y /40 h

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Practice makes perfect

Write a Ratio as a Fraction

In the following exercises, write each ratio as a fraction.

28 ounces to 84 ounces

1 3

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246 milligrams to 45 milligrams

82 15

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304 milligrams to 48 milligrams

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total cholesterol of 175 to HDL cholesterol of 45

35 9

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total cholesterol of 215 to HDL cholesterol of 55

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Write a Rate as a Fraction

In the following exercises, write each rate as a fraction.

140 calories per 12 ounces

35 calories 3 ounces

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180 calories per 16 ounces

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8.2 pounds per 3 square inches

41 lbs 15 sq. in .

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9.5 pounds per 4 square inches

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488 miles in 7 hours

488 miles 7 hours

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$595 for 40 hours

$119 8 hours

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$798 for 40 hours

Find Unit Rates In the following exercises, find the unit rate. Round to two decimal places, if necessary.

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140 calories per 12 ounces

11.67 calories/ounce

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180 calories per 16 ounces

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8.2 pounds per 3 square inches

2.73 lbs./sq. in.

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9.5 pounds per 4 square inches

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488 miles in 7 hours

69.71 mph

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$595 for 40 hours

$14.88/hour

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576 miles on 18 gallons of gas

32 mpg

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435 miles on 15 gallons of gas

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43 pounds in 16 weeks

2.69 lbs./week

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46 beats in 0.5 minute

92 beats/minute

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The bindery at a printing plant assembles 96,000 magazines in 12 hours. How many magazines are assembled in one hour?

8,000

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The pressroom at a printing plant prints 540,000 sections in 12 hours. How many sections are printed per hour?

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Find Unit Price

In the following exercises, find the unit price. Round to the nearest cent.

Soap bars at 8 for $8.69

$1.09/bar

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Soap bars at 4 for $3.39

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Women’s sports socks at 6 pairs for $7.99

$1.33/pair

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Men’s dress socks at 3 pairs for $8.49

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Snack packs of cookies at 12 for $5.79

$0.48/pack

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Granola bars at 5 for $3.69

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CD-RW discs at 25 for $14.99

$0.60/disc

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The grocery store has a special on macaroni and cheese. The price is $3.87 for 3 boxes. How much does each box cost?

$1.29/box

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The pet store has a special on cat food. The price is $4.32 for 12 cans. How much does each can cost?

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In the following exercises, find each unit price and then identify the better buy. Round to three decimal places.

Questions & Answers

what is microbiology
Agebe Reply
What is a cell
Odelana Reply
what is cell
Mohammed
how does Neisseria cause meningitis
Nyibol Reply
what is microbiologist
Muhammad Reply
what is errata
Muhammad
is the branch of biology that deals with the study of microorganisms.
Ntefuni Reply
What is microbiology
Mercy Reply
studies of microbes
Louisiaste
when we takee the specimen which lumbar,spin,
Ziyad Reply
How bacteria create energy to survive?
Muhamad Reply
Bacteria doesn't produce energy they are dependent upon their substrate in case of lack of nutrients they are able to make spores which helps them to sustain in harsh environments
_Adnan
But not all bacteria make spores, l mean Eukaryotic cells have Mitochondria which acts as powerhouse for them, since bacteria don't have it, what is the substitution for it?
Muhamad
they make spores
Louisiaste
what is sporadic nd endemic, epidemic
Aminu Reply
the significance of food webs for disease transmission
Abreham
food webs brings about an infection as an individual depends on number of diseased foods or carriers dully.
Mark
explain assimilatory nitrate reduction
Esinniobiwa Reply
Assimilatory nitrate reduction is a process that occurs in some microorganisms, such as bacteria and archaea, in which nitrate (NO3-) is reduced to nitrite (NO2-), and then further reduced to ammonia (NH3).
Elkana
This process is called assimilatory nitrate reduction because the nitrogen that is produced is incorporated in the cells of microorganisms where it can be used in the synthesis of amino acids and other nitrogen products
Elkana
Examples of thermophilic organisms
Shu Reply
Give Examples of thermophilic organisms
Shu
advantages of normal Flora to the host
Micheal Reply
Prevent foreign microbes to the host
Abubakar
they provide healthier benefits to their hosts
ayesha
They are friends to host only when Host immune system is strong and become enemies when the host immune system is weakened . very bad relationship!
Mark
what is cell
faisal Reply
cell is the smallest unit of life
Fauziya
cell is the smallest unit of life
Akanni
ok
Innocent
cell is the structural and functional unit of life
Hasan
is the fundamental units of Life
Musa
what are emergency diseases
Micheal Reply
There are nothing like emergency disease but there are some common medical emergency which can occur simultaneously like Bleeding,heart attack,Breathing difficulties,severe pain heart stock.Hope you will get my point .Have a nice day ❣️
_Adnan
define infection ,prevention and control
Innocent
I think infection prevention and control is the avoidance of all things we do that gives out break of infections and promotion of health practices that promote life
Lubega
Heyy Lubega hussein where are u from?
_Adnan
en français
Adama
which site have a normal flora
ESTHER Reply
Many sites of the body have it Skin Nasal cavity Oral cavity Gastro intestinal tract
Safaa
skin
Asiina
skin,Oral,Nasal,GIt
Sadik
How can Commensal can Bacteria change into pathogen?
Sadik
How can Commensal Bacteria change into pathogen?
Sadik
all
Tesfaye
by fussion
Asiina
what are the advantages of normal Flora to the host
Micheal
what are the ways of control and prevention of nosocomial infection in the hospital
Micheal
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Source:  OpenStax, Prealgebra. OpenStax CNX. Jul 15, 2016 Download for free at http://legacy.cnx.org/content/col11756/1.9
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