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Sergeeva-Olga [200]
3 years ago
15

The average yearly rainfall in Lakeview is 21.55 inches. What is the total amount of rainfall in inches in Lakeview in 5.75 year

s?
A-123.9125 inches
B-1,239.125 inches
C-12.39125 inches
D-27.3 inches
Mathematics
1 answer:
motikmotik3 years ago
7 0

Answer:

1. ANS: C

To round to the nearest integer, look at the digit in the tenths place. If it is greater than or equal to 5, round to

the next integer. If it is less than 5, keep the same integer.

53.8 + 13.8 ≈ 54 + 14 = 68

Feedback

A Perform the correct operation.

B To round to the nearest integer, look at the digit in the tenths place. If it is greater than

or equal to 5, round to the next integer. If it is less than 5, keep the same integer.

C Correct!

D Perform the correct operation.

PTS: 1 DIF: Basic REF: Page 150

OBJ: 3-1.1 Estimating Sums and Differences of Decimals NAT: 8.1.2.b

TOP: 3-1 Estimate with Decimals KEY: decimal | difference | estimate | sum

2. ANS: A

Round each number to the nearest nonzero integer or to a number that is easy to multiply.

–25.46 • 18.73 ≈ –25 • 20 = –500

Feedback

A Correct!

B Multiply, not add.

C Round each number to the nearest nonzero integer or to a number that is easy to

multiply, and then multiply.

D Check the signs.

PTS: 1 DIF: Average REF: Page 151

OBJ: 3-1.2 Estimating Products and Quotients of Decimals NAT: 8.1.2.b

TOP: 3-1 Estimate with Decimals KEY: decimal | estimate | product | quotient

3. ANS: D

Round the numbers so that they divide without leaving a remainder.

40.7 ÷ (–4.4) ≈ 40 ÷ (–5) = –8

Feedback

A Round the numbers so that they divide without leaving a remainder, and then divide.

B Check the signs.

C Perform the correct operation.

D Correct!

PTS: 1 DIF: Average REF: Page 151

OBJ: 3-1.2 Estimating Products and Quotients of Decimals NAT: 8.1.2.b

TOP: 3-1 Estimate with Decimals KEY: decimal | estimate | product | quotient

ID: A

2

4. ANS: A

An estimate can help you decide whether Maria’s calculation is reasonable.

To estimate, round each number to the nearest whole number. Then, add.

The estimate 93 + 89 + 97 + 93 + 86 = 458 is equivalent to Maria’s calculation, so 458 is a reasonable

answer.

Feedback

A Correct!

B To estimate, round each number to the nearest whole number.

PTS: 1 DIF: Average REF: Page 151 OBJ: 3-1.3 Application

NAT: 8.1.3.g TOP: 3-1 Estimate with Decimals KEY: decimal | estimate | quotient | sum

5. ANS: D

Line up the decimal points, and then add.

31.9

+ 6.9

38.8

Feedback

A Check your calculations.

B Line up the decimal points, and then add.

C Place the decimal point in the correct location.

D Correct!

PTS: 1 DIF: Basic REF: Page 154 OBJ: 3-2.1 Adding Decimals

NAT: 8.1.3.a TOP: 3-2 Adding and Subtracting Decimals

KEY: addition | decimal

6. ANS: D

Line up the decimal points, and then subtract. If necessary, use zeros as placeholders and/or regroup.

91.4

− 87.7

3.7

Feedback

A Check your calculations.

B Line up the decimal points, and then subtract.

C Perform the correct operation.

D Correct!

PTS: 1 DIF: Average REF: Page 155 OBJ: 3-2.2 Subtracting Decimals

NAT: 8.1.3.a TOP: 3-2 Adding and Subtracting Decimals

KEY: decimal | subtraction  

ID: A

3

7. ANS: D

Line up the decimal points, and then subtract. If necessary, regroup.

433.4

− 347.9

85.5

Mr. Romito drove 85.5 miles more miles on the first day than on the second day.

Feedback

A Line up the decimal points, and then subtract.

B Place the decimal point in the correct location.

C Check your calculations.

D Correct!

PTS: 1 DIF: Average REF: Page 155 OBJ: 3-2.3 Application

NAT: 8.1.3.g TOP: 3-2 Adding and Subtracting Decimals

KEY: addition | decimal | subtraction

8. ANS: B

Line up the decimal points, and then add.

14.91

+ 3.34

18.25

The corned beef and the cabbage cost $18.25.

Feedback

A Check your calculations.

B Correct!

C Line up the decimal points, and then add.

D Place the decimal point in the correct location.

PTS: 1 DIF: Average REF: Page 155 OBJ: 3-2.3 Application

NAT: 8.1.3.g TOP: 3-2 Adding and Subtracting Decimals

KEY: addition | decimal | subtraction

ID: A

4

9. ANS: A

Multiply the numbers. The product should have the same number of decimal places as the sum of the decimal

places in the factors.

Feedback

A Correct!

B Place the decimal point in the correct location.

C First, multiply the numbers. Then, place the decimal point in the correct location.

D First, multiply the numbers. Then, place the decimal point in the correct location.

PTS: 1 DIF: Basic REF: Page 160

OBJ: 3-3.1 Multiplying Integers by Decimals NAT: 8.1.3.a

TOP: 3-3 Multiplying Decimals KEY: decimal | integers | multiplication

10. ANS: A

Multiply the numbers. The product should have the same number of decimal places as the sum of the decimal

places in the factors.

Feedback

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At a sport clubhouse the coach wants to rope off a rectangular area that is adjacent to the building. He uses the length of the
Furkat [3]

Answer:

w < 8 meters ( w must be greater than 0 because length cannot be 0)

Step-by-step explanation:

One side with building is 23 meters, the other opposite side also will be 23 meters (with rope).

Let width (remaining 2 sides) be "w", he has AT MOST 39 meters of rope, so we can write:

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Simplifying:

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5 0
4 years ago
Write an irrational number that can be added to the irrational number the square root of 15 to get a rational sum of 2
aniked [119]

Answer:

Step-by-step explanation:

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7 0
3 years ago
Solve the following systems of equations 2a+4b+c=5 ; a-4b=-6 ; 2b+c=7.
SOVA2 [1]

Answer:

a = -2

b = 1

c = 5

Step-by-step explanation:

Given:

2a + 4b + c = 5 ............(1)

a - 4b = - 6

or

a = 4b - 6 .............(2)

2b + c = 7

or

c = 7 - 2b   ...........(3)

substituting 2 and 3 in  1, we get

2(4b - 6 ) + 4b + (7 - 2b) = 5

or

8b - 12 + 4b + 7 - 2b = 5

or

10b - 5 = 5

or

b = 1

substituting b in 2, we get

a = 4(1) - 6

or

a = -2

substituting b in 3, we get

c = 7 - 2(1)

or

c = 5

thus,

a = -2

b = 1

c = 5

8 0
3 years ago
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