pLEASE show your workHomework 10

July 19, 2016

MATH 106-C01 – Quantitative Reasoning

Due date: July 20, 2016, at 10:30am

Exercise 1. Do problems 16, 18, 20, 24 and 26 from p301-302 of the textbook. Show your

work.

Exercise 2. Do problems 8,10, 12,14, 16, 18, 20 and 24 from p337 of the textbook. Show

your work.

Exercise 3. Do problem 36 from p338 of the textbook.

Exercise 4. Do problems 38, 68, 70, 72 and 76 from p338 of the textbook. Show your work.

Exercise 5. Do problems 78, 80 and 82 from p338 of the textbook. Show your work.

1

II 33

338 W CHAPTER 7 The Basic Concepts of Algebra

36. Explain in your own words how to raise a power to a

4.0 billion

15 years

power,

Convert each number from standard notation to scientific

notation.

69. 230

70. 46,500

37. Which one of the following is correct?

3 3

3-1

4-1

A.

B.

4

4-1

3

71. 0.02

72. 0.0051

(

(6)

3-1

3

3-1

3-1

C.

–

D.

Convert each number from scientific notation to standard

notation.

4

4-1

4-1

73. 6.5 X 103

74. 2.317 x 105

75. 1.52 x 10-2

76. 1.63 X 10-4

38. Which one of the following is incorrect?

A. (3r)-2 = 3-27-2

B. 3r-2 = (3r)-2

1

C. (3r) -2 =

D. (3r)-2

(3r)2

9

+2

Use scientific notation to perform each of the following com-

putations. Leave the answers in scientific notation.

0.002 X 3900

Use the product, quotient, and power rules to simplify each

expression. Write answers with only positive exponents.

Assume that all variables represent nonzero real numbers.

77.

0.009 X 600

78.

0.02

0.000013

0.0004 X 56,000

0.018 X 20,000

+12

79.

80.

39. r12.rº

40.

0.000112

300 X 0.0004

x4

840,000 X 0.03

28 X 0.0045

517

312

42.

81.

82.

0.00021 X 600

140 X 1500

313

516

3-4

43.

3-2

44.

2-4

2-3

In Exercises 83-86, write the boldface numbers in scientific

notation.

reciprocal of x (x + 0)

-1

A. r-1

1

B.

X

C.

– (0)

D. – x

X

68. Which one of the following is not in scientific notation?

B. 14 x 10-6

A. 6.02 X 1023

C. 1.4 x 10-5

D. 3.8 X 103

Associative property; product rule, mutta

43.

3-2

(1.9992 x 101) x 11

9-1

= 1.9992 x 1012

45.

9

The 2005 expenditure was about $1,999,200,000,000 (almost $2 trillion).

47. 157-12

49. (3x)2

18. -4-1

7.5 EXERCISES

51. a-3a26

17. -7-2

2-3

t>

20.

.

53.

Match the exponential expressions in Exercises 1-6 with their

equivalent expressions in choices A-F below. Choices may be

used once, more than once, or not at all.

3-2

r-4

19.

.

2.

(-4)-3

31-2

-3

3,-

2

1.

2.

5-1

22.

.

55.

3

5

r-27

3. (-3)

()

21.

4-2

(1)

(

3)2

2

5-2

4.

.

5.

6.

-2

57. 762

5

3

-3

24.

-(

15

23.

3

9

25

59. (z3)

5

A.

23

B.

C.

9

9

25

4)-2

61. -3

25.

26. 3-1 + 2-1

9

D.

5

E. none of these

F. all of these

25

63. (30

27. 4-1 + 5-1

28. 80

Evaluate each exponential expression.

65. (x

7. 54

8, 103

29. 12°

30. (-23)º

67. W

9. (-2)

10, (-5)

re

31. (-4)º

32. -2°

11. -23

12. -32

33. 30 – 40

A

34. -80 – 70

13. -(-3)^

14. -(-5)

we

68.

35. In order to raise a fraction to a negative power,

change the fraction to its

exponent to the

15. 7-2

16. 4-1

and change

of the original expon

7.2 EXERCISES

11. the product of 6 less than a number and 4 more than the

Decide whether each of the following translates into an

expression or an equation.

number

1. the product of a number and 6

12. the quotient of a number and 9

2. 39% of a number

13. the ratio of 25 and a nonzero number

3. Z of a number is 36.

4. 9 is 5 more than a number.

14. of a number

15. Write a few sentences describing the six steps for prob-

lem solving

5. the ratio of a number and 24

6. 48 divided by a number is 12.

(16, Which is not a valid translation of “30% of a number”?

3х

A. 0.30x B. 0.3x C.

D. 0.30

10

7. Rework Example 6, letting the variable represent the

number of quarters. Is the answer to the problem the

same?

8. Explain why 19 – x is not a correct translation of

“19 less than a number.”

Unknown Numbers Let x represent the number, write an

equation for the sentence, and then solve.

17. If 2 is added to five times a number, the result is equal to

5 more than four times the number. Find the number.

Translate each verbal phrase into a mathematical expression.

Use x to represent the unknown number,

18. If four times a number is added to 8, the result is three

times the number added to 5. Find the number.

9. a number decreased by 12

10. 7 more than a number

19. If 2 is subtracted from a number and this difference is

tripled, the result is 6 more than the number. Find the

number.

ations | 30

CHAPTER 7 The Basic Concepts of Algebra

302 III CHAPTER 7

20. If 3 is added to a number and this sum is doubled, the

26. MLB Record In the 2008 Major League Baseball season,

the Tampa Bay Rays won 33 fewer than twice as many

games as they lost. They played 162 regular season

games. How many wins and losses did the team have?

(Source: www.mlb.com)

result is 2 more than the number. Find the number.

21. The sum of three times a number and 7 more than the

number is the same as the difference between -11 and

twice the number. What is the number?

22. If 4 is added to twice a number and this sum is multi-

plied by 2, the result is the same as if the number is

multiplied by 3 and 4 is added to the product. What is

the number?

27. U.S. Senate During the 111th Congress (beginning in

2009), the U.S. Senate had a total of 98 Democrats and

Republicans. There were 18 fewer Republicans than

Democrats. How many Democrats and Republicans

were there in the Senate? (Source: World Almanac and

Book of Facts.)

bike

28. U.S. House of Representatives The total number of

Democrats and Republicans in the U.S. House of

Representatives during the 111th Congress was 435.

There were 31 more Democrats than Republicans. How

many members of each party were there? (Source:

World Almanac and Book of Facts.)

Use the methods of Examples 1 and 2 or your own method

to solve each problem.

23. Concert Revenues Bon Jovi and Bruce Springsteen had

the two top-grossing North American concert tours for

2008, together generating $415.3 million in ticket sales.

If Bruce Springsteen took in $6.1 million less than

Bon Jovi, how much did each tour generate? (Source:

www.billboard.com)

ce by bus

29. Submarine Sandwich Nagaraj Nanjappa has a party-

length sandwich that is 59 inches long and is to be cut

into three pieces. The middle piece will be 5 inches

the shortest piece, and the shortest piec

niece. Ho

II 33

338 W CHAPTER 7 The Basic Concepts of Algebra

36. Explain in your own words how to raise a power to a

4.0 billion

15 years

power,

Convert each number from standard notation to scientific

notation.

69. 230

70. 46,500

37. Which one of the following is correct?

3 3

3-1

4-1

A.

B.

4

4-1

3

71. 0.02

72. 0.0051

(

(6)

3-1

3-1

3-1

C.

–

3

4-1

D.

Convert each number from scientific notation to standard

notation.

4

4-1

73. 6.5 X 103

74. 2.317 x 105

75. 1.52 x 10-2

76. 1.63 X 10-4

38. Which one of the following is incorrect?

A. (3r)-2 = 3-27-2

B. 3r-2 = (3r)-2

1

C. (3r) -2 =

D. (3r)-2

(3r)2

9

+2

Use scientific notation to perform each of the following com-

putations. Leave the answers in scientific notation.

Use the product, quotient, and power rules to simplify each

expression. Write answers with only positive exponents.

Assume that all variables represent nonzero real numbers.

77.

0.002 X 3900

0.000013

0.009 X 600

78.

0.02

0.0004 X 56,000

+12

80.

0.018 X 20,000

300 X 0.0004

39. r12.rº

79.

40.

0.000112

x4

28 X 0.0045

517

42.

312

313

81.

82.

840,000 X 0.03

0.00021 X 600

140 X 1500

516

3-4

43.

3-2

44.

2-4

2-3

In Exercises 83-86, write the boldface numbers in scientific

notation.

reciprocal of x (x + 0)

-1

A. r-1

1

B.

X

C.

– (0)

D. – x

X

A. 6.02 X 1023

C. 1.4 x 10-5

68. Which one of the following is not in scientific notation?

B. 14 x 10-6

D. 3.8 X 103

Associative property; product rule, mutta

43.

3-2

(1.9992 x 101) x 11

9-1

= 1.9992 x 1012

45.

9

The 2005 expenditure was about $1,999,200,000,000 (almost $2 trillion).

47. 157-12

49. (3x)2

18. -4-1

7.5 EXERCISES

51. a-3a26

17. -7-2

2-3

t>

20.

.

53.

Match the exponential expressions in Exercises 1-6 with their

equivalent expressions in choices A-F below. Choices may be

used once, more than once, or not at all.

3-2

r-4

19.

.

2.

(-4)-3

31-2

-3

3,-

2

1.

2.

5-1

22.

.

55.

3

5

r-27

3. (-3)

()

21.

4-2

(1)

(

3)2

2

5-2

4.

.

5.

6.

-2

57. 762

5

3

-3

24.

-(

15

23.

3

9

25

59. (z3)

5

A.

23

B.

C.

9

9

25

4)-2

61. -3

25.

26. 3-1 + 2-1

9

D.

5

E. none of these

F. all of these

25

63. (30

27. 4-1 + 5-1

28. 80

Evaluate each exponential expression.

65. (x

7. 54

8, 103

29. 12°

30. (-23)º

67. W

9. (-2)

10, (-5)

re

31. (-4)º

32. -2°

11. -23

12. -32

33. 30 – 40

A

34. -80 – 70

13. -(-3)^

14. -(-5)

we

68.

35. In order to raise a fraction to a negative power,

change the fraction to its

exponent to the

15. 7-2

16. 4-1

and change

of the original expon

7.2 EXERCISES

11. the product of 6 less than a number and 4 more than the

Decide whether each of the following translates into an

expression or an equation.

number

1. the product of a number and 6

12. the quotient of a number and 9

2. 39% of a number

13. the ratio of 25 and a nonzero number

3. Z of a number is 36.

4. 9 is 5 more than a number.

14. of a number

15. Write a few sentences describing the six steps for prob-

lem solving

5. the ratio of a number and 24

6. 48 divided by a number is 12.

(16, Which is not a valid translation of “30% of a number”?

3х

A. 0.30x B. 0.3x C.

D. 0.30

10

7. Rework Example 6, letting the variable represent the

number of quarters. Is the answer to the problem the

same?

8. Explain why 19 – x is not a correct translation of

“19 less than a number.”

Unknown Numbers Let x represent the number, write an

equation for the sentence, and then solve.

17. If 2 is added to five times a number, the result is equal to

5 more than four times the number. Find the number.

Translate each verbal phrase into a mathematical expression.

Use x to represent the unknown number,

18. If four times a number is added to 8, the result is three

times the number added to 5. Find the number.

9. a number decreased by 12

10. 7 more than a number

19. If 2 is subtracted from a number and this difference is

tripled, the result is 6 more than the number. Find the

number.

Purchase answer to see full

attachment

#### Why Choose Us

- 100% non-plagiarized Papers
- 24/7 /365 Service Available
- Affordable Prices
- Any Paper, Urgency, and Subject
- Will complete your papers in 6 hours
- On-time Delivery
- Money-back and Privacy guarantees
- Unlimited Amendments upon request
- Satisfaction guarantee

#### How it Works

- Click on the “Place Order” tab at the top menu or “Order Now” icon at the bottom and a new page will appear with an order form to be filled.
- Fill in your paper’s requirements in the "
**PAPER DETAILS**" section. - Fill in your paper’s academic level, deadline, and the required number of pages from the drop-down menus.
- Click “
**CREATE ACCOUNT & SIGN IN**” to enter your registration details and get an account with us for record-keeping and then, click on “PROCEED TO CHECKOUT” at the bottom of the page. - From there, the payment sections will show, follow the guided payment process and your order will be available for our writing team to work on it.