Estimate the difference between 412.02 and 513.87 to the nearest whole number

Answers

Answer 1
Answer:

The nearest whole number difference between 412.02 and 513.87 is 102.


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Solve the inequality. |3x + 6| < 12A. –6 > x > 2

B. –2 < x < 2

C. –6 < x < 2

D. –21 < x < 3

Answers

The solution to the inequality |3x + 6| < 12 is -6 < x < 2, which corresponds to option C.

To solve the inequality |3x + 6| < 12, we can break it down into two separate inequalities:

3x + 6 < 12

-(3x + 6) < 12

Solving the first inequality:

3x + 6 < 12

Subtracting 6 from both sides:

3x < 6

Dividing both sides by 3 (since 3 is positive, we don't need to change the direction of the inequality):

x < 2

Solving the second inequality:

-(3x + 6) < 12

Distributing the negative sign:

-3x - 6 < 12

Adding 6 to both sides:

-3x < 18

Dividing both sides by -3 (since -3 is negative, we need to change the direction of the inequality):

x > -6

Combining the solutions from both inequalities, we have:

-6 < x < 2

Therefore, the correct option is C. -6 < x < 2.

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Hello,

Answer C

if 3x+6>0 then |3x+6|=3x+6
==> 3x+6<12==>3x<9==>x<2
else
|3x+6|=-3x-6
-3x-6<12==>-3x<18==>x>-6

-6<x<2


What is the value of the expression?
25 – 4 + (40 ÷ 20)5

Answers

25 - 4 + (40 ÷ 20)5 = 31

What is the 9th term in the addition pattern with formula 7n – 3? A.13

B.42

C.60

D.76

Answers

replace n with 9 :
7 × 9 - 3 = 60
the answer is C.60

What is the fraction for 2.3125? Improper fraction form

Answers

The fraction equivalent of 2.3125 in improperfraction form is 165/80.

We have,

To convert the decimal 2.3125 into an improper fraction, follow these steps:

- Identify the whole number part:

In this case, the whole number part is 2.

- Determine the fractional part:

The fractional part is the decimal part of the number. In this case, the decimal part is 0.3125.

- Convert the decimal part to a fraction:

To convert the decimal 0.3125 to a fraction, count the number of decimal places, which is four.

Then, write the decimal part over a denominator of 10 raised to the power of the number of decimal places.

0.3125 = 3125/10,000

- Combine the whole number part and the fractional part:

Add the whole number part to the fraction obtained in step 3.

= 2 + 3125/10,000

- Simplify the fraction if possible:

In this case, the fraction 3125/10,000 can be simplified by dividing both the numerator and denominator by 125, which is the greatest common divisor.

= 2 + 3125/10,000

= 2 + (3125 ÷ 125) / (10,000 ÷ 125)

= 2 + 25/80

- Convert the mixed number to an improper fraction:

Multiply the whole number part by the denominator of the fraction and add the numerator.

Place the result over the denominator.

= 2 + 25/80

= (2 x 80 + 25) / 80

= 165/80

Thus,

The fraction equivalent of 2.3125 in improperfraction form is 165/80.

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Answer: The answer is 2(5)/(16).

Step-by-step explanation: Step 1. Let's rewrite the decimal number as a fraction with 1 in the denominator: (2.3125)/(1).

Step 2. Multiply to remove 4 decimal places. Here, you multiply top and the bottom by 10⁴=10000: (2.3125)/(1)*(10000)/(10000)=(23125)/(10000).

Step 3. You find the Greatest Common Factor of 23125 and 10000, or if it exists, and reduce the fraction by dividing both numerator and denominator by the GCF=625: Numerator: 23125÷625=37

Denominator: 10000÷625=16.

Last but not least is step 4. Simplify the improper fraction: 2(5)/(16). Now in conclusion: 2.3125=2(5)/(16). I hoped this step-by-step explanation will be helpful! Can you give me brainliest? I will be appreciated! :D

2 trifles cost £7
how much do 6 trifles cost

Answers

Answer:

£21

Step-by-step explanation:

Use ratios! Amount of trifle: Amount of money

2:7

*3 *3

6:21

£21

Answer:

23

Step-by-step explanation:

multiply the cost by 3

What is square root of 76 approximated to the nearest tenth?

Is it 8?

Answers

approximately 8.7178, 8.7 to the nearest tenth