Percentages, Fractions, and Decimal Values

To write 1.4 percent as a decimal, you divide it by 100, resulting in 0.014. In fraction form, it can be expressed as 14/1000, which simplifies to 7/500. Additionally, in terms of a whole number, you would write it as 1.4.

To simplify the fraction 40 over 72, you need to find the greatest common divisor (GCD) of the numerator (40) and the denominator (72). The GCD is 8. Dividing both the numerator and the denominator by 8 gives you 5 over 9. Therefore, 40 over 72 simplified is 5/9.

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To calculate 60 percent off of $69.99, first determine 60 percent of the price by multiplying 69.99 by 0.60, which equals approximately $41.99. Then, subtract that amount from the original price: $69.99 - $41.99 equals approximately $27.00. Therefore, 60 percent off of $69.99 results in a final price of about $27.00.

Ninety-eight percent can be expressed as a fraction by writing it as 98/100, which simplifies to 49/50. In decimal form, 98 percent is equivalent to 0.98. Both expressions represent the same value, indicating that 98 percent of a whole is equal to 0.98 of that whole.

1.6625 rounded to the hundredths place is 1.66. This is because the third decimal place (2) is less than 5, so we do not round up the second decimal place. Therefore, in terms of cents, it would be 166.25 cents.

To find what is 2 and 3 tenths less than 8.686, first convert 2 and 3 tenths into decimal form, which is 2.3. Then, subtract 2.3 from 8.686:

8.686 - 2.3 = 6.386.

Therefore, 2 and 3 tenths less than 8.686 is 6.386.

Percentages are commonly used in everyday life for various purposes, such as calculating discounts while shopping, determining tips in restaurants, or understanding interest rates on loans and savings accounts. They help in comparing values, such as assessing data in statistics or evaluating performance metrics. Additionally, percentages are essential in budgeting, allowing individuals to allocate portions of their income effectively. Overall, they provide a clear way to express ratios and make informed financial decisions.

The number of drinks required to reach a 0.20% blood alcohol concentration (BAC) can vary significantly based on factors such as body weight, gender, metabolism, and the type and amount of alcohol consumed. On average, a person might reach this level after consuming around 10-12 standard drinks in a short period. However, it's important to note that individual responses to alcohol can differ widely, and reaching this BAC can lead to severe impairment and increased risk of alcohol poisoning. Always drink responsibly and know your limits.

When you divide a decimal, the arrow points to the left, indicating that the value decreases. Conversely, when you multiply a decimal, the arrow points to the right, indicating that the value increases. This reflects the general behavior of decimal numbers in relation to their magnitude when subjected to these operations.

To calculate 0.5 percent of 300,000, you can multiply 300,000 by 0.005 (which is 0.5 percent expressed as a decimal). This gives you 300,000 × 0.005 = 1,500. Therefore, 0.5 percent of 300,000 is 1,500.

To write a ratio as a decimal, divide the first number of the ratio by the second number. For example, if the ratio is 3:4, you would calculate 3 ÷ 4, which equals 0.75. This decimal representation can also help in comparing ratios or converting them into percentages if needed.

The place value that is 100 times bigger than the tens place is the hundreds place. In a number, the tens place represents values like 20 or 30, while the hundreds place represents values like 200 or 300. Therefore, each digit in the hundreds place is 100 times larger than the corresponding digit in the tens place.

When converting from megameters to meters, the decimal moves three places to the right. This is because one megameter is equal to one million meters (1 MM = 1,000,000 m). Therefore, to convert megameters to meters, you multiply by 1,000,000.

Strikeout percentage is calculated by dividing the number of strikeouts by the total number of plate appearances, then multiplying the result by 100 to express it as a percentage. The formula is:

[ \text{Strikeout Percentage} = \left( \frac{\text{Strikeouts}}{\text{Plate Appearances}} \right) \times 100 ]

This statistic helps assess a player's ability to make contact with the ball during their at-bats.

To evaluate ( (152 , \text{mN})^2 ), we first convert millinewtons to newtons: ( 152 , \text{mN} = 0.152 , \text{N} ). Squaring this gives ( (0.152 , \text{N})^2 = 0.023104 , \text{N}^2 ). Rounding to three significant figures, the result is ( 0.0231 , \text{N}^2 ).

An IP address can also be referred to as a "binary" format, as it is fundamentally represented in binary code. Additionally, it may be expressed in hexadecimal notation, especially in contexts like networking and programming. In some cases, IP addresses can also be represented as "CIDR notation," which combines the IP address with a suffix indicating the subnet mask.

The tens place is the second digit to the left of the decimal point in a whole number. For example, in the number 345, the digit 4 is in the tens place, representing 40. In a number like 76.5, the tens place remains 7, as it is still the second digit to the left of the decimal.

To convert 0.5419 to a fraction, recognize that it can be expressed as 5419/10000 since it has four decimal places. This fraction can be simplified by finding the greatest common divisor (GCD) of 5419 and 10000, which is 1, indicating that the fraction is already in its simplest form. Thus, 0.5419 as a fraction is 5419/10000.

To show 0.25 on a grid, you can create a 10x10 grid where each square represents 0.01. Since 0.25 is equivalent to 25 hundredths, you would shade 25 of the 100 squares. As a fraction, 0.25 can be expressed as 25/100, which simplifies to 1/4 when divided by the greatest common divisor, 25.

There are 73 tenths in 7.3. This is because the digit in the tenths place is 3, and the whole number part, 7, accounts for 70 tenths. Adding these together gives 70 + 3 = 73 tenths.

37 over 7 as a mixed number in simplest form = 52/7

20 over 3 as a mixed number in simplest form = 62/3

15 over 6 as a mixed number in simplest form = 21/2