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What does proportion mean in math?

A common example of proportions involves calculating percentages. A football analyst who wants to know how many games a team must win in a season to have an 75 percent win rate uses the following proportion: x/16 = 75/100. To find the answer, multiply across the proportion to remove the fractions and reach a simple algebraic equation: 100x = 1200, or x = 12. This shows that a team must win 12 of 16 games to reach a 75 percent win rate.

How tall is 172 cm translated into feet and inches?

To convert 62.72 inches to feet and inches requires dividing 62.72 inches by 12 inches per foot. Inches and feet are basic units of length in the U.S. System of Customary Units, derived from the British System of Imperial Units. This system is used primarily in the United States. Centimeters and meters are units in the more widely-used International System of Units, also called the metric system.

What are some examples of inclined planes?

An incline plane is often used in real life applications to make moving heavy or delicate objects easier. When moving an object up a plane, it requires a consistent force to keep it moving. This force, however, is much lower than having to lift the object all at once. When moving down an inclined plane, like a slide, the object will fall slower than if simply dropped, which is safer.

How many zeros are there in one billion?

When trying to get a feel for a number this large, it is helpful to put it in everyday terms. For example, to save $1 billion, a thrifty saver would have to deposit $100 in the bank each day for over 27,000 years. If a person wanted to count to one billion and could spit out numbers at the rate of three per second, it would still take over 95 years to finish.

How do you calculate your yearly income?

Consider earnings from all sourcesEarnings include wages, salaries, tips, dividends and interest. In most cases, donations or gifts received are not considered income. The frequency of income may not be consistent. For instance, salary may come in the form of a monthly pay check, whereas dividends may not be paid until the end of the quarter. Document income from all sources with information relating to amount and payment date.Sum all earnings items over a particular periodA period can be any time frame, whether it is a day, week, month, quarter or year. This period should be reflective of the..

What are the factors of 121?

A factor is a whole number that divides into another number completely without leaving any remainder. Numbers with just two factors, 1 and itself, are called prime numbers, while those having more than two factors are called composite numbers. The number 121 can be written in these ways: 121 = 1 X 121 or 121 = 11 X 11. Some composite numbers have many factors. For example, the factors of 12 are 1, 2, 3, 4, 6 and 12.

How is calculus used in medicine?

Bunker Hill Community College also states that the importance of regulating dosage is a priority and must be strictly monitored because dissolving rates for each drug are different. A drug that dissolves too quickly or too slowly could either cause toxicity or have no effect. In medicine, it is important to observe the drug's therapeutic dosage and the range which is accepted for being safe and effective. It is desirable to have a drug that provides a long-term release as opposed to an immediate release. An immediate release of a drug is observed as having sharp peaks and drops in blood c..

What is an orthogonal matrix?

All orthogonal matrices have inverses. The preferred method to find the inverse of an orthogonal matrix is to compute its transpose, as computing a transpose simplifies an equation that would otherwise compute the general inverse of a matrix. The set of n x n orthogonal matrices forms an orthogonal group, which is usually denoted O(n).

What is the lowest common multiple of 14 and 4?

To find the common multiple for two numbers, a person should first list the multiples of each number. For 14, this would be 14, 28, 42, 56, etc. For 4, this would be 4, 8, 12, 16, 20, 24, 26, 28, 32, 36, 40, etc. The person then needs to find the common values, which are the "same" values. From here, the least common multiple is chosen. For 14 and 4, the smallest number that they share together is 28. Therefore, the answer is 28.A second example would be finding the least common multiple for 3 and 5. When listing the multiples for 3 and 5, a person will find that the least common multiple or t..

How do you teach fourth-grade students how to estimate quotients?

For example, if asked to estimate the quotient of 181 divided by five, students can round off 181 to 200. Given that 100 divided by five equals 20, the quotient of 200 divided by five would be twice as much, or 40. Hence, 181 divided by five is approximately 40.\nSince multiplication is the inverse of division, learners might also think of related multiplication problems. Students assigned the task of estimating the quotient of 45 divided by six might ask what number multiplied by six has a product close to 45. Since six times eight equals 48, it follows that 45 divided by six is approximately..

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