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This module is from Fundamentals of Mathematics by Denny Burzynski and Wade Ellis, Jr. This module is a proficiency exam to the chapter "Ratios and Rates." Each problem is accompanied with a reference link pointing back to the module that discusses the type of problem demonstrated in the question. The problems in this exam are accompanied by solutions.

Proficiency exam

( [link] ) Compare 4 cassette tapes to 7 dollars.

4 cassette tapes 7 dollars size 12{ { {"4 cassette tapes"} over {"7 dollars"} } } {}

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( [link] ) What do we call a comparison, by division, of two unlike denominate numbers?

Rate

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For problems 3 and 4, express each ratio or rate as a fraction.

( [link] ) 11 to 9

11 9 size 12{ { {"11"} over {9} } } {}

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( [link] ) 5 televisions to 2 radios

5 televisions 2 radios size 12{ { {"5 televisions"} over {"2 radios"} } } {}

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For problems 5 and 6, write each ratio or rate in the form " a to b ."

( [link] ) 8 maps 3 people size 12{ { {"8 maps"} over {"3 people"} } } {}

8 maps to 3 people

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( [link] ) 2 psychologists 75 people size 12{ { {"2 psychologists"} over {"75 people"} } } {}

two psychologists to seventy-five people

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For problems 7-9, solve each proportion.

( [link] ) 8 x = 48 90 size 12{ { {8} over {x} } = { {"48"} over {"90"} } } {}

15

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( [link] ) x 7 = 4 28 size 12{ { {x} over {7} } = { {4} over {"28"} } } {}

1

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( [link] ) 3 computers 8 students = 24   computers x   students size 12{ { {"3 computers"} over {"8 students"} } = { {"24"`"computers"} over {x" students"} } } {}

64

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( [link] ) On a map, 4 inches represents 50 miles. How many miles does 3 inches represent?

37 1 2 size 12{"37" { {1} over {2} } } {}

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( [link] ) An acid solution is composed of 6 milliliters of acid to 10 milliliters of water. How many milliliters of acid are there in an acid solution that is composed of 3 milliliters of water?

1.8

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( [link] ) The odds that a particular event will occur are 9 to 7. If the event occurs 27 times, how many times would you predict it will it not occur?

21

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For problems 13 and 14, convert each decimal to a percent.

( [link] ) 3. 7 _

377 7 9 size 12{"377" { {7} over {9} } %} {} %

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For problems 15 and 16, convert each percent to a decimal.

For problems 17-19, convert each fraction to a percent.

( [link] ) 42 5 size 12{ { {"42"} over {5} } } {}

840%

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( [link] ) 1 8 size 12{ { {1} over {8} } } {}

12.5%

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( [link] ) 800 80 size 12{ { {"800"} over {"80"} } } {}

1,000%

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For problems 20 and 21, convert each percent to a fraction.

( [link] ) 15%

3 20 size 12{ { {3} over {"20"} } } {}

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( [link] ) 4 27 size 12{ { {4} over {"27"} } } {} %

4 2, 700 or 1 675 size 12{ { {4} over {2,"700"} } " or " { {1} over {"675"} } } {}

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For problems 22-25, find each indicated quantity.

( [link] ) What is 18% of 26?

4.68

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( [link] ) 0.618 is what percent of 0.3?

206

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( [link] ) 0.1 is 1.1% of what number?

9 . 09 ¯ size 12{9 "." {overline {"09"}} } {}

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( [link] ) A salesperson makes a monthly salary of $1,000.00. He also gets a commission of 12% of his total monthly sales. If, in a particular month, he sells $5,500.00 worth of merchandise, what is his income that month?

$1,660

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Questions & Answers

Ayele, K., 2003. Introductory Economics, 3rd ed., Addis Ababa.
Widad Reply
can you send the book attached ?
Ariel
?
Ariel
What is economics
Widad Reply
the study of how humans make choices under conditions of scarcity
AI-Robot
U(x,y) = (x×y)1/2 find mu of x for y
Desalegn Reply
U(x,y) = (x×y)1/2 find mu of x for y
Desalegn
what is ecnomics
Jan Reply
this is the study of how the society manages it's scarce resources
Belonwu
what is macroeconomic
John Reply
macroeconomic is the branch of economics which studies actions, scale, activities and behaviour of the aggregate economy as a whole.
husaini
etc
husaini
difference between firm and industry
husaini Reply
what's the difference between a firm and an industry
Abdul
firm is the unit which transform inputs to output where as industry contain combination of firms with similar production 😅😅
Abdulraufu
Suppose the demand function that a firm faces shifted from Qd  120 3P to Qd  90  3P and the supply function has shifted from QS  20  2P to QS 10  2P . a) Find the effect of this change on price and quantity. b) Which of the changes in demand and supply is higher?
Toofiq Reply
explain standard reason why economic is a science
innocent Reply
factors influencing supply
Petrus Reply
what is economic.
Milan Reply
scares means__________________ends resources. unlimited
Jan
economics is a science that studies human behaviour as a relationship b/w ends and scares means which have alternative uses
Jan
calculate the profit maximizing for demand and supply
Zarshad Reply
Why qualify 28 supplies
Milan
what are explicit costs
Nomsa Reply
out-of-pocket costs for a firm, for example, payments for wages and salaries, rent, or materials
AI-Robot
concepts of supply in microeconomics
David Reply
economic overview notes
Amahle Reply
identify a demand and a supply curve
Salome Reply
i don't know
Parul
there's a difference
Aryan
Demand curve shows that how supply and others conditions affect on demand of a particular thing and what percent demand increase whith increase of supply of goods
Israr
Hi Sir please how do u calculate Cross elastic demand and income elastic demand?
Abari
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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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