The nearest whole number difference between 412.02 and 513.87 is 102.
B. –2 < x < 2
C. –6 < x < 2
D. –21 < x < 3
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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25 – 4 + (40 ÷ 20)5
B.42
C.60
D.76
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 .
Step-by-step explanation: Step 1. Let's rewrite the decimal number as a fraction with 1 in the denominator: .
Step 2. Multiply to remove 4 decimal places. Here, you multiply top and the bottom by 10⁴=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: . Now in conclusion: 2.3125=. I hoped this step-by-step explanation will be helpful! Can you give me brainliest? I will be appreciated! :D
how much do 6 trifles cost
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
Is it 8?