Math

7/20/23, 2:07 PM Week 2: Assignment – MyLab Homework-Natalie Banks
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Student: Natalie Banks
Date: 07/20/23
Instructor: Keva Yarbrough
Course: College Math-Summer 2023 (2)
Assignment: Week 2: Assignment – MyLab
Homework
Determine whether the statement is true or false. If the statement is false, make the necessary change(s) to produce a true statement.
The equation − 6x + 2 = 0 is equivalent to − 6x = 2.
Choose the correct answer below.
A. The statement is false. The equation − 6x + 2 = 0 is equivalent to 6x = − 2.
B. The statement is true.
C. The statement is false. The equation − 6x + 2 = 0 is equivalent to − 6x = − 2.
D. The statement is false. The equation − 6x + 2 = 0 is equivalent to 6x = 2.
Solve the following equation. Be sure to check your proposed solution by substituting it for the variable in the given equation.
3x = − 12
Select the correct choice below and, if necessary, fill in the answer box to complete your choice.
A. The solution set is . (Type an integer or a simplified fraction.)
B. The solution set is {x x is a real number}.
C. The solution set is ∅.
Solve the following equation. Be sure to check your proposed solution by substituting it for the variable in the given equation.
4x − 17 = − 77
Select the correct choice below and, if necessary, fill in the answer box to complete your choice.
A. The solution set is . (Type an integer or a simplified fraction.)
B. The solution set is {x x is a real number}.
C. The solution set is ∅.
Solve the equation. Be sure to check your proposed solution by substituting it for the variable in the original equation.
9(4x − 8) = 44
Select the correct choice below and, if necessary, fill in the answer box to complete your choice.
A. The solution set is . (Type an integer or a simplified fraction.)
B. The solution set is {x x is a real number}.
C. The solution set is ∅.
Solve the linear equation.
4x + 1 = 2x + 29
Select the correct choice below and, if necessary, fill in the answer box to complete your choice.
A. The solution set is . (Type an integer or a simplified fraction.)
B. The solution set is {x x is a real number}.
C. The solution set is ∅.
7/20/23, 2:07 PM Week 2: Assignment – MyLab Homework-Natalie Banks
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Solve the equation.
12(y + 2) = 2(5y + 6)
Select the correct choice below and, if necessary, fill in the answer box to complete your choice.
A. The solution set is . (Type an integer or a simplified fraction.)
B. The solution set is {y | y is a real number}.
C. The solution set is ∅.
Solve and check the equation.
− 2 = 19
7x
2
Select the correct choice below and, if necessary, fill in the answer box to complete your answer.
A. The solution set is . (Type an integer or a simplified fraction.)
B. The solution set is {x x is a real number}.
C. The solution set is ∅.
Solve the proportion.
=
12
x
6
2
The solution set is .
(Type an integer or a simplified fraction.)
Solve.
=
5r + 60
20
4r − 24
4
The solution set is { }.
(Type an integer or a simplified fraction.)
The mathematical model describes a weight, W, in
pounds, that lies within the healthy weight range for a person
whose height is H inches over 5 feet. Use the formula to find a
healthy weight for a person whose height is ‘ “. (Hint:
because this person’s height is inches over 5 feet.) How many
pounds is this healthy weight end of the range
shown by the bar graph?
− 3H = 53
W
2
5 10 H = 10
10
below the upper
5′ 4″ 5′ 6″ 5′ 8″ 5′ 10″ 6′ 0″ 6’ 2″
0
40
80
120
160
200
240
Weight (pounds)
Lower end of range
Upper end of range
111
146
118
155
125
164
132
174
140
184
148
195
Height
According to the model, a healthy weight of a person 5’10” tall is pounds.
This healthy weight is pounds below.
Healthy Weight Ranges for Men and Women, Ages 19 to 34
7/20/23, 2:07 PM Week 2: Assignment – MyLab Homework-Natalie Banks
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The volume of blood in a person’s body is proportional to body weight. A person who weighs pounds has approximately quarts of
blood. Estimate the number of quarts of blood in a person who weighs pounds.
140 4
160
Complete the proportion, where the ratios have volumes of blood in the numerators and body weights in the denominators.
x
=
(Do not simplify.)
There are approximately quarts of blood in a person who weighs 160 pounds.
(Round to two decimal places as needed.)
When four times a number is decreased by 6, the result is 26. What is the number?
The number is .
The bar graph shows the average number of
years a group of people devoted to their
most time-consuming activities. According to
the graph, a person from this group will
devote years to and
. The number of years will
exceed the number of years by
. Over a lifetime, how many years will be
spent on each of these activities?
35 sleeping doing
chores sleeping
doing chores
21 Sleep Work TV Chores Food Games Mall
0
5
10
15
20
25
30
35
Avg Number of Years
years will be spent on sleeping and years will be spent on doing chores.
Despite booming new car sales with their cha-ching
sounds, the average age of vehicles on roads is not
going down. The bar graph shows the average price of
new cars in Country A and the average age of cars on
roads for two selected years. In , the average price
of a new car was $37,600. For the period shown, newcar prices increased by approximately $ per year.
If this trend continues, how many years after will
the price of a new car average $ ? In which year
will this occur?
2014
1250
2014
42,600
$28,000
$30,000
$32,000
$34,000
$36,000
$38,000
$40,000
9.8
10.1
10.4
10.7
11.0
11.3
11.6
37,600
30,100 10.1
11.3
How many years after 2014 will the average price of new cars average $42,600?
years after 2014
In which year will the average price of new cars average $42,600?
You are choosing between two plans at a discount warehouse. Plan A offers an annual membership fee of $ and you pay % of the
manufacturer’s recommended list price. Plan B offers an annual membership fee of $ and you pay % of the manufacturer’s
recommended list price. How many dollars of merchandise would you have to purchase in a year to pay the same amount under both
plans? What will be the cost for each plan?
110 70
20 90
You have to purchase $ of merchandise in a year to pay the same amount under both plans.
The cost for each plan will be $ .
Solve V = Lwh for w.
w =
How an Average Life Expectancy of 80 Years Is Spent
7/20/23, 2:07 PM Week 2: Assignment – MyLab Homework-Natalie Banks
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1: http://mediaplayer.pearsoncmg.com/assets/Y_hrsvhpFOwwar_zfNIF5bTsid_KPGJt
2: Median Starting Salaries for U.S. College Graduates
Watch the video and then solve the problem given below.
Click here to watch the video.1
Use the figure to find the difference in median starting salaries for graduates in the communications and computer science fields.
Click the icon to view the median starting salaries for graduates. 2
$
Graph the set of real numbers on a number line.
{x|x > − 1}
Choose the correct graph below.
A.
-10 -8 -6 -4 -2 0 2 4 6 8 10
-1
B.
-10 -8 -6 -4 -2 0 2 4 6 8 10
-1
C.
-10 -8 -6 -4 -2 0 2 4 6 8 10
-1
D.
-10 -8 -6 -4 -2 0 2 4 6 8 10
-1
E. None of the above
7/20/23, 2:07 PM Week 2: Assignment – MyLab Homework-Natalie Banks
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Solve the inequality 3x − 2 > 10 and select the graph of the solutions.
What is the solution?
x| (Type an inequality.)
Choose the correct graph below.
A.
-10 -8 -6 -4 -2 0 2 4 6 8 10
4
B.
-10 -8 -6 -4 -2 0 2 4 6 8 10
4
C.
-10 -8 -6 -4 -2 0 2 4 6 8 10
4
D.
-10 -8 -6 -4 -2 0 2 4 6 8 10
4
E. None of the above
Solve the inequality − 4x < 16 and select the graph of the solutions.
What is the solution?
x| (Type an inequality.)
Choose the correct graph below.
A.
-60 -50 -40 -30 -20 -10 0 10 20 30 40 50 60
-4
B.
-60 -50 -40 -30 -20 -10 0 10 20 30 40 50 60
-4
C.
-60 -50 -40 -30 -20 -10 0 10 20 30 40 50 60
-4
D.
-60 -50 -40 -30 -20 -10 0 10 20 30 40 50 60
-4
E. None of the above
Solve the following inequality and graph the solution set on a number line.
7x − 9 < 6x + 8
What is the solution?
x | (Type an inequality.)
Choose the correct graph below.
A.
-20 -15 -10 -5 0 5 10 15 20
B.
-20 -15 -10 -5 0 5 10 15 20
C.
-20 -15 -10 -5 0 5 10 15 20
D.
-20 0 20
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On two examinations, you have grades of and . There is an
optional final examination, which counts as one grade. You decide
to take the final in order to get a course grade of A, meaning a final
average of at least 90.
83 93
a. What must you get on the final to earn an A in the course?
b. By taking the final, if you do poorly, you might risk the B that you
have in the course based on the first two exam grades. If your final
average is less than 80, you will lose your B in the course.
Describe the grades on the final that will cause this to happen.
a. You must get at least a .
b. You will lose your grade if you get less than a .
A car can be rented for $ per week plus $ per mile. How many miles can be driven if you have at most $ to spend for weekly
transportation?
75 0.20 340
You can drive at most miles a week.
3: https://mediaplayer.pearsoncmg.com/assets/bztm7e_0604_obj_01?clip=2
According to the example in the video , which of the following is the correct graph of ?
3 {x | − 3 ≤ x < − 1}
Choose the correct answer.
A.
B.
C.
D.
4: http://mediaplayer.pearsoncmg.com/assets/1sha8U63gD57DmYEoTQGCCOgj02V606P
Watch the video and then solve the problem given below.
Click here to watch the video.4
Solve.
3 ≤ 2x + 3 ≤ 13
Solve the inequality. Select the correct answer below, and if necessary fill in the answer box to complete your choice.
A. The solution set is .
(Type a compound inequality.)
B. There is no solution.