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1. –/0.34 pointsAufExc4 9.3.019.
   During 1 year, approximately 1,980,000 oz of gold went into the manufacturing of electronic
   equipment in a certain country. This is 11% of all the gold mined in that country in that year. How
   many ounces of gold were mined in that country that year?
   oz
   [email protected]
   (sign out)
   MATH 115, section B04, Summer 1 2019
   __Week 6: Practice HW 6: 8.3, 9.1-9.4
   (Homework)
   Fauzia Obi
   MATH 115, section B04, Summer 1
   2019
   Andrea Smith
   Liberty University
   Current Score
   QUESTION
   POINTS
   TOTAL
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2. –/0.34 pointsAufExc4 8.3.027.
   We can form a symmetry group by using rotations of a square rather than a triangle. Start with a
   square with corners labeled 1 through 4, placed in a reference square.
   The current position of the inner square is labeled I. We can rotate the inner square clockwise 90° to
   give an element of the group, R . Similarly, we can rotate the square 180° or 270° to obtain the
   elements R and R . In addition, we can rotate the square about any of the lines of symmetry
   shown below.
   The operation “followed by,” is denoted by Δ. The following exercise refers to this symmetry group of
   the square.
   Find
3. –/0.34 pointsAufExc4 9.1.035.MI.
   Solve the equation.
   x =
   90
   180 270
   R ΔR . h 270
   RhΔR270 =
   3(x − 4) = 3 − (4x − 27)
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4. –/0.34 pointsAufExc4 8.3.047.MI.
   We can form a new permutation group by considering all permutations of the numbers 1 2 3 4. The
   following exercise refers to this group.
   Find the inverse of
5. –/0.34 pointsAufExc4 9.2.020.
   The table below shows the exchange rates per U.S. dollar for four foreign countries on a given date.
   Exchange Rates per U.S. Dollar
   Australian dollar 1.4216
   Danish krone 6.8628
   Indian rupee 67.8697
   Mexican peso 18.4398
   Find the cost, in Mexican pesos, of an order of American computer hardware costing $25,000.
   pesos
6. –/0.34 pointsAufExc4 9.1.063.
   Write an equation as part of solving the problem.
   A cellular phone company charges $52.95 per month for a service plan that includes 6 GB of data. In
   addition to the basic monthly rate, the company charges $6.95 for each additional GB of data over 6 GB.
   A customer on this plan receives a bill for $94.65. How much data did this customer send and receive
   during the month?
   GB
   .
   1 2 3 4

2 4 1 3

1 2 3 4
2 4 1 3
−1 1 2 3 4
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1. –/0.34 pointsAufExc4 9.1.005.
   Solve the equation.
2. –/0.34 pointsAufExc4 9.1.044.MI.
   The pressure on a diver can be calculated using the formula where P is the pressure in
   pounds per square inch and D is the depth in feet.
   Find the depth of a diver when the pressure on the diver is 59 pounds per square inch.
   feet
3. –/0.34 pointsAufExc4 8.3.003.
   Is the set of all odd integers closed with respect to the following?
   (a) multiplication
   Yes
   No
   (b) addition
   Yes
   No
   10.–/0.34 pointsAufExc4 8.3.023.
   This exercise refers to the triangular symmetry group discussed in this section.
   Which element is the inverse of
   7 + b = 26
   b =
   P = 15 + D,
   1
   2
   R ? 240
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   11.–/0.34 pointsAufExc4 8.3.015.
   Determine whether the set forms a group with respect to the given operation. (You may assume the
   operation is associative.) If the set does not form a group, determine which properties fail. (Select all
   that apply.)
   multiplication modulo 6
   The set forms a group.
   The closure property fails.
   The associative property fails.
   The identity property fails.
   The inverse property fails.
   12.–/0.34 pointsAufExc4 9.1.019.
   Solve the equation.
   m =
   {0, 1, 2, 3, 4, 5};
   6m + 3 = 2 − 9m
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   13.–/0.34 pointsAufExc4 8.3.033.MI.
   We can form a symmetry group by using rotations of a square rather than a triangle. Start with a
   square with corners labeled 1 through 4, placed in a reference square.
   The current position of the inner square is labeled I. We can rotate the inner square clockwise 90° to
   give an element of the group, R . Similarly, we can rotate the square 180° or 270° to obtain the
   elements R and R . In addition, we can rotate the square about any of the lines of symmetry
   shown below.
   As before, the operation is “followed by,” denoted by Δ. The following exercise refers to this
   symmetry group of the square.
   Find the inverse of the element R .
   90
   180 270
   270
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   14.–/0.34 pointsAufExc4 8.3.006.
   Determine whether the set forms a group with respect to the given operation. (You may assume the
   operation is associative.) If the set does not form a group, determine which properties fail. (Select all
   that apply.)
   The even integers; multiplication
   The set forms a group.
   The closure property fails.
   The associative property fails.
   The identity property fails.
   The inverse property fails.
   15.–/0.34 pointsAufExc4 9.1.078.
   Solve the formula for the indicated variable.
   h =
   16.–/0.34 pointsAufExc4 9.2.014.MI.
   You have a choice of receiving a wage of $38,000 per year, $2760 per month, $650 per week, or
   $13.70 per hour. Which pay choice would you take? Assume a 40­hour work week and 52 weeks of
   work per year.
   $38,000 per year
   $2760 per month
   $650 per week
   $13.70 per hour
   V = πr h; h (geometry)
   1
   3
   2
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   17.–/0.34 pointsAufExc4 9.2.035.MI.
   Solve. Round to the nearest hundredth.
   18.–/0.34 pointsAufExc4 9.3.015.
   During a recent year, charitable contributions in the United States totaled $376 billion. The graph below
   shows to whom this money was donated. Determine how much money was donated to educational
   organizations. (Round your answer to one decimal place.)
   billion dollars
   Recipients of Charitable Contributions in

the United States

2.2
3.2
b
36
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19.–/0.34 pointsAufExc4 9.3.501.XP.
According to the Committee for the Study of the American Electorate, the voter turnout in the 2004
presidential election was higher in all but four states than it was in the 2000 election. The four states
with lower voter turnout are listed below.
(a) How many Maine voters turned out to vote in the 2004 presidential election?
voters
(b) How many people in Arizona voted in the 2004 election?
people
(c) How many more people voted in the 2000 election than in the 2004 election in the state of
Alaska?
more people
20.–/0.34 pointsAufExc4 9.3.005.
Complete the table of equivalent fractions, decimals, and percents.
Fraction Decimal Percent
60%
21.–/0.34 pointsAufExc4 9.2.040.
The dosage of a cold medication is 2 mg for every 80 lb of body weight. How many milligrams of this
medication are required for a person who weighs 180 lb?
mg
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22.–/0.34 pointsAufExc4 9.3.503.XP.MI.
Employee A had an annual salary of $28,000, Employee B had an annual salary of $32,000, and
Employee C had an annual salary of $38,000 before each employee was given a 5% raise. Which of
the three employees’ annual salaries is now the highest?
Employee A
Employee B
Employee C
23.–/0.34 pointsAufExc4 9.2.010.
Each of the Space Shuttle’s solid rocket motors burns 680,400 kilograms of propellant in 2.5 minutes.
How much propellant does each motor burn in 2 minutes?
kg
24.–/0.34 pointsAufExc4 8.3.052.
Consider the set of elements with the operation ∇ as given in the table below.
∇ a b c d
a d a b c
b a b c d
c b c d a
d c d a b
For example, to compute c∇d, find c in the left column and align it with d in the top row. The result is
a.
Find a∇a.
a∇a =
{a, b, c, d}
19/06/2019 __Week 6: Practice HW 6: 8.3, 9.1-9.4
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25.–/0.34 pointsAufExc4 9.4.037.
The path of water from a hose on a fire tugboat can be approximated by the equation
where y is the height, in feet, of the water above the ocean when the
water is x feet from the tugboat. When the water from the hose is 7 feet above the ocean, at what
distance from the tugboat is it? Round answer to nearest hundredth.
ft
26.–/0.34 pointsAufExc4 9.4.001.
First try to solve the equation by factoring. If you are unable to solve the equation by factoring, solve
the equation by using the quadratic formula. (Enter your answers as a comma­separated list. If the
solution is not a real number, enter NOT REAL.)
27.–/0.34 pointsAufExc4 9.3.007.
Complete the table of equivalent fractions, decimals, and percents.
Fraction Decimal Percent
0.7 %
28.–/0.34 pointsAufExc4 8.3.039.
This exercise refers to the group of permutations of the numbers 1 2 3 discussed in this section.
Find
y = −0.005x + 1.2x + 15,
2
r − 3r = 18
2
r =
C Δ A.
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29.–/0.34 pointsAufExc4 9.4.007.MI.
First try to solve the equation by factoring. If you are unable to solve the equation by factoring, solve
the equation by using the quadratic formula. For equations with solutions that are irrational numbers,
give exact solutions and approximate solutions to the nearest thousandth. (Enter your answers as a
comma­separated list. If the solution is not a real number, enter NOT REAL.)
z =
7z − 14z = 0
2
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30.–/0.34 pointsAufExc4 8.3.058.
Consider the set of elements with the operation ∇ as given in the table below.
∇ a b c d
a d a b c
b a b c d
c b c d a
d c d a b
For example, to compute c∇d, find c in the left column and align it with d in the top row. The result is
a.
Identify the inverse of each element.
a
b
c
d
31.–/0.34 pointsAufExc4 9.1.041.
Solve the equation.
x =
{a, b, c, d}
(x − 8) = (2x + 4)
3
8
1
8
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32.–/0.34 pointsAufExc4 9.2.027.
Solve. Round to the nearest hundredth.
y =
33.–/0.34 pointsAufExc4 9.3.011.MI.
Complete the table of equivalent fractions, decimals, and percents.
Fraction Decimal Percent
15.625%
34.–/0.34 pointsAufExc4 9.3.028.MI.
During the last 50 years, the consumption of eggs in the United States has decreased by 17%. Fifty
years ago, the average consumption was 309 eggs per person per year. What is the average
consumption of eggs today? (Round your answer to the nearest whole number.)
eggs per person per year
35.–/0.34 pointsAufExc4 9.4.021.MI.
First try to solve the equation by factoring. If you are unable to solve the equation by factoring, solve
the equation by using the quadratic formula. For equations with solutions that are irrational numbers,
give exact solutions and approximate solutions to the nearest thousandth. (Enter your answers as a
comma­separated list. If the solution is not a real number, enter NOT REAL.)

y =

3
y
4
3
42y − 2 = 5y
2
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36.–/0.34 pointsAufExc4 9.2.023.
Dean Baker, co­director at the Center for Economic and Policy Research in Washington, D.C., suggests
that the buy­versus­rent question can be answered using the price­to­rent ratio. Find two houses of
similar size and quality in comparable neighborhoods, one for sale and the other for rent. Divide the
price of the house for sale by the total cost of the rental for 1 year. If the quotient is higher than 20,
renting might be the better option. If the quotient is below 15, buying might be the better option.
A house in Orlando, Florida, is priced at $155,000. The rent on a comparable house is $950 per month.
Find the price­to­rent ratio. (Round your answer to one decimal place.)
Does the ratio suggest that you buy or rent a home in Orlando?
buy
rent
37.–/0.34 pointsAufExc4 9.2.501.XP.MI.
Amanda Chicopee bought a new car and drove 7,000 miles in the first four months. At the same rate,
how many miles will Amanda drive in 3 years?
miles
38.–/0.38 pointsAufExc4 9.4.042.
A model rocket is launched with an initial velocity of 300 ft per second. The height h, in feet, of the
rocket t seconds after the launch is given by How many seconds after the launch
will the rocket be 400 ft above the ground? Round to the nearest hundredth of a second. (Enter your
answers as a comma­separated list.)
sec
h = −16t + 300t.
2
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39.–/0.34 pointsAufExc4 9.4.017.
First try to solve the equation by factoring. If you are unable to solve the equation by factoring, solve
the equation by using the quadratic formula. (Enter your answers as a comma­separated list. If the
solution is not a real number, enter NOT REAL.)
x =
40.–/0.34 pointsAufExc4 8.3.019.MI.
Refer to the triangular symmetry group discussed in this section.
Find
41.–/0.34 pointsAufExc4 9.2.006.
Write the expression as a unit rate.
54 meters in 4 seconds
meters per second
42.–/0.34 pointsAufExc4 9.4.028.
The area A, in square meters, of a rectangle with a perimeter of 100 meters is given by the equation
where w is the width of the rectangle in meters. What is the width of a rectangle if its
area is 400 m ?
m
7x − 10 = 2x
2
R ΔR .
t 120
A = 50w − w ,
2
2
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43.–/0.34 pointsAufExc4 9.1.059.
Write an equation as part of solving the problem.
A university employs a total of 640 teaching assistants and research assistants. There are three times
as many teaching assistants as research assistants. Find the number of research assistants employed
by the university.
research assistants
44.–/0.34 pointsAufExc4 9.1.083.
Solve the equation for y.
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2x + 3y = 9
y =