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Sergeeva-Olga [200]
2 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:
motikmotik2 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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Can someone Help with this question
inn [45]

Answer:

B 12

Step-by-step explanation:

  • manuel ate 1/3X
  • His brother ate 1/4X
  • leftover is 5
  • total is X

manuel+brother+leftover=X

x/3+x/4+5=x

7x+60/12=x

  • cross multiply

7x+60=12x

  • collect like terms

60=12x-7x

60=5x

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x=60/5

x= 12

5 0
3 years ago
What is nine plus ten? If you get it right I’ll give you brainliest
Finger [1]

Answer:

19

Step-by-step explanation:

ok is this just a joke?

nine plus ten

9 + 10 = 19

7 0
3 years ago
Jack and Walter work in a store's gift-wrapping department. Jack can wrap 28 boxes in 2 hours, while Walter takes 3 hours to wra
Delvig [45]
<span>Together they wrap 14+12 = 26 boxes per hour. 
t hours × 26 boxes/hour = 65 boxes 

C</span><span>
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7 0
3 years ago
Read 2 more answers
John walks 3 miles in 5 hours<br>for his exercise routine. Find<br>the Unit rate​
Brilliant_brown [7]

John walks 0.6 miles in 1 hour.

Step-by-step explanation:

Distance walked by John = 3 miles

Time period = 5 hours

5 hours = 3 miles

Unit rate is the ratio of two measurements, in which one measurement is one, therefore,

1 hour = \frac{3}{5}\ miles

1\ hour=0.6\ miles

John walks 0.6 miles in 1 hour.

Keywords: ratio, distance

Learn more about distances at:

  • brainly.com/question/3456442
  • brainly.com/question/3503862

#LearnwithBrainly

3 0
3 years ago
How do you solve these equations? I don't want you to answer all of them, just tell me how to solve each type of equation on the
miss Akunina [59]

Answer:

8. Identify the common denominator; express each fraction using that denominator; combine the numerators of those rewritten fractions and express the result over the common denominator. Factor out any common factors from numerator and denominator in your result. (It's exactly the same set of instructions that apply for completely numerical fractions.)

9. As with numerical fractions, multiply the numerator by the inverse of the denominator; cancel common factors from numerator and denominator.

10. The method often recommended is to multiply the equation by a common denominator to eliminate the fractions. Then solve in the usual way. Check all answers. If one of the answers makes your multiplier (common denominator) be zero, it is extraneous. (10a cannot have extraneous solutions; 10b might)

Step-by-step explanation:

For a couple of these, it is helpful to remember that (a-b) = -(b-a).

<h3>8d.</h3>

\dfrac{5}{x+2}+\dfrac{25-x}{x^2-3x-10}=\dfrac{5(x-5)}{(x+2)(x-5)}+\dfrac{25-x}{(x+2)(x-5)}\\\\=\dfrac{5x-25+25-x}{(x+2)(x-5)}=\dfrac{4x}{x^2-3x-10}

___

<h3>9b.</h3>

\displaystyle\frac{\left(\frac{x}{x-2}\right)}{\left(\frac{2x}{2-x}\right)}=\frac{x}{x-2}\cdot\frac{-(x-2)}{2x}=\frac{-x(x-2)}{2x(x-2)}=-\frac{1}{2}

___

<h3>10b.</h3>

\dfrac{3}{x-1}+\dfrac{6}{x^2-3x+2}=2\\\\\dfrac{3(x-2)}{(x-1)(x-2)}+\dfrac{6}{(x-1)(x-2)}=\dfrac{2(x-1)(x-2)}{(x-1)(x-2)}\\\\3x-6+6=2(x^2-3x+2) \qquad\text{multiply by the denominator}\\\\2x^2-9x+4=0 \qquad\text{subtract 3x}\\\\(2x-1)(x-4)=0 \qquad\text{factor; x=1/2, x=4}

Neither solution makes any denominator be zero, so both are good solutions.

8 0
3 years ago
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