Percentages, Fractions, and Decimal Values

Approximately 5-10% of people in the U.S. stay married to the same person for 50 years or more. This figure can vary based on factors such as age, socioeconomic status, and cultural background. Long-term marriages have become less common in recent decades due to shifts in societal norms and increased rates of divorce.

Yes, 20 is a terminating decimal because it can be expressed as 20.0, which has a finite number of digits after the decimal point. A terminating decimal has a decimal representation that ends after a certain number of digits, and since 20 can be written with zeroes following the decimal, it qualifies as a terminating decimal.

The number 9.0 in decimal form is simply 9.0. It represents the whole number nine with an added decimal point and a zero, indicating that there are no fractional components. In essence, it is equivalent to the integer 9, but expressed in a decimal format.

To find 4 hundredths less than 8.776, you need to subtract 0.04 from it. This calculation gives you 8.776 - 0.04 = 8.736. Therefore, 4 hundredths less than 8.776 is 8.736.

To subtract nine tenths and one fifth with a common denominator, first find the common denominator, which is 10. Convert one fifth to tenths: one fifth equals two tenths. Then, subtract: nine tenths minus two tenths equals seven tenths. So, nine tenths minus one fifth is seven tenths.

To express the improper fraction ( \frac{4683}{29} ) as a mixed number, first, divide 4683 by 29. Doing the division gives you 161 with a remainder of 14. Therefore, the mixed number is ( 161 \frac{14}{29} ).

No, firewalls are not 100 percent safe. While they provide a significant layer of protection by controlling incoming and outgoing network traffic, they cannot prevent all types of cyber threats. Attackers can still bypass firewalls through various methods, such as exploiting vulnerabilities in software or through social engineering tactics. Therefore, firewalls should be part of a broader security strategy that includes other measures like antivirus software, regular updates, and user education.

If an infant with tetralogy of Fallot experiences cyanosis with an oxygen saturation of 88 percent and nonlabored breathing, it's important to assess the situation closely. While the oxygen saturation is relatively low, the absence of labored breathing suggests that the infant may be stable. Administer supplemental oxygen to improve saturation levels and monitor closely for any changes in condition. If cyanosis persists or the infant shows signs of distress, further evaluation and potential intervention, such as contacting a healthcare provider or preparing for possible intervention, may be necessary.

The concept of percentages dates back to ancient civilizations, with early uses seen in Babylonian and Roman societies for trade and taxation. The term "percent" derives from the Latin "per centum," meaning "by the hundred," and became more widely adopted in Europe during the Renaissance. The mathematical formalization of percentages as a way to express ratios and comparisons gained traction with the development of arithmetic. Today, percentages are integral in various fields, including finance, statistics, and everyday calculations.

121 over 2 can be simplified by dividing 121 by 2. This gives you 60.5 or in fraction form, it can also be expressed as 60 and 1/2. Thus, 121/2 simplifies to 60.5 or 60 1/2.

The ratio 32 can be expressed as a fraction, such as 32:1 or 32/1. Since it is already a single number, it cannot be simplified further. Therefore, the simplified form of the ratio is simply 32:1 or just 32.

To calculate 5 minus 16 tenths, first convert 16 tenths to its decimal form, which is 1.6. Then, subtract this from 5:

5 - 1.6 = 3.4.

Thus, 5 minus 16 tenths equals 3.4.

To simplify the fraction 105 over 280, you can divide both the numerator and the denominator by their greatest common divisor (GCD). The GCD of 105 and 280 is 35. Dividing both by 35 results in 3 over 8, so 105 over 280 simplified is 3/8.

Machines cannot achieve 100 percent efficiency due to inherent physical limitations, primarily dictated by the laws of thermodynamics. The first law states energy cannot be created or destroyed, while the second law introduces the concept of entropy, indicating that energy conversions always result in some energy being lost as waste heat. Additionally, friction, material imperfections, and other real-world factors contribute to energy losses in any system. Consequently, some energy is always lost in the form of heat or other inefficiencies, preventing perfect efficiency.

Yes, a negative whole number is smaller than a negative decimal. For example, -3 (a negative whole number) is less than -0.5 (a negative decimal) because it is further left on the number line. The more negative a number is, the smaller its value. Thus, -3 is less than -0.5.

To round 12.998 to the tenths place, first look at the digit in the hundredths place, which is 9. Since 9 is greater than 5, you round the tenths place (which is 9) up by 1. Therefore, 12.998 rounded to the tenths place is 13.0.

To find 40 decreased by 70 percent, first calculate 70 percent of 40, which is 28 (0.70 × 40 = 28). Then, subtract this value from 40: 40 - 28 = 12. Therefore, 40 decreased by 70 percent equals 12.

The scale factor of 125 percent can be expressed as a decimal by dividing 125 by 100, which equals 1.25. This means that when scaling an object or quantity by 125 percent, you are increasing it by 25 percent more than its original size, resulting in a total of 1.25 times the original amount.

Two tenths of 1.3 kg is calculated by multiplying 1.3 kg by 0.2. This equals 0.26 kg. Therefore, two tenths of 1.3 kg is 0.26 kg.

One and five twelfths can be converted to a decimal by first expressing it as a mixed number: (1 + \frac{5}{12}). The fraction (\frac{5}{12}) is approximately (0.4167) when calculated. Therefore, adding this to 1 gives (1 + 0.4167 = 1.4167). Thus, one and five twelfths as a decimal is approximately (1.4167).

To find what percent 125 is of 2640, you can use the formula: (125 / 2640) × 100. This calculation gives you approximately 4.73%. Therefore, 125 is about 4.73% of 2640.

To determine if 75 percent is bigger than 0.66, we first convert 75 percent to a decimal, which is 0.75. Since 0.75 is greater than 0.66, we can conclude that 75 percent is indeed bigger than 0.66.

One third of 18,500 dollars is calculated by dividing 18,500 by 3. This equals approximately 6,166.67 dollars.

Repeating the phrase "I have a dream" serves to emphasize the speaker's vision and aspirations, creating a rhythmic and persuasive impact. This repetition reinforces the emotional weight of the message, making it more memorable and resonant with the audience. It also helps to unify the themes of hope and equality, making the speech more powerful and inspiring. Overall, it creates a sense of urgency and commitment to the ideals being presented.

In the number 1846, the digit that represents the tens place is 4. This is because the tens place is the second digit from the right, which in this case is the 4 in 1846. Therefore, the tens place value is 40.