Is 9/3 a whole number

Karina bought a townhouse for $199,900. She has a 30 year mortgage with a fixed rate of 5.5%. Karina's monthly payments are $998

rosijanka [135]

If Karina bought a townhouse for $199,900 and she has a 30 year mortgage with a fixed rate of 5.5% with monthly payments of $998.08, the percent of the purchase price that was her down payment was 12%.Thank you for posting your question here at brainly. I hope the answer will help you. Feel free to ask more questions here.

3 0

4 years ago

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EASY 100 POINTS WILL MARK BRAINIEST!!!!!

sesenic [268]

Answer:

Perimeter is 38.8 units and approximately 39 units

Step-by-step explanation:

Trust me :)

4 0

3 years ago

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In this task, you will perform multiplication on rational and irrational numbers and determine whether the sets are closed under

velikii [3]

Answer:

The set of rational numbers is closed under multiplication.

The set of irrational numbers is not closed under multiplication.

Although are only few instances where the set of irrational numbers may show closure, but it must be noted that closure property would not extend to the entire set of irrational numbers.

The Product of two rational numbers will be rational.

Step-by-step explanation:

The set of rational numbers contains the set of numbers that can be written as a fraction or ratio between two integers - integer values in the nominator and denominator (denominator ≠ 0).

The set of integers - denoted by Z - can be termed as rational numbers as integer, for instance, 3 can be written as the ration 3/1.

Therefore, when we multiply two rationals, it basically means we are just multiplying two such fractions which will yield another fraction of the same form as integers are closed under multiplication.

Part A) Determining multiplication on rational numbers

Let a/b and c/d be rational numbers where a, b, c and d are integers and (b, d ≠ 0).

For example, a = 2, b = 3, c = 4, and d = 5 a, b, c and d are integers

Lets multiple 2/3 × 4/5 to check what the multiplication of two rational number can bring.

So,

2/3 × 4/5 = (2)(4) / (3)(5) = 8/15

As 8 and 15 are the integers, and can be written in a ratio 8/15 in the nominator and denominator which make it a rational number. Hence, the set of rational numbers is closed under multiplication.

Determining multiplication on irrational numbers

The set of irrational numbers contains the set of numbers that can not be written as a fraction or ratio between two integers.

The product of two irrational numbers will be sometimes irrational.

There will be certain cases sometimes where the product of two irrational numbers will yield irrational number. But, it must be noted that few irrational numbers may multiply to yield a rational number.

For example,

√5 × √2 = √10 which is termed as irrational

√8 × √2 = √16 = 4 which is termed as rational

So, there are only few instances that may show closure, but it must be noted that closure property would not extend to the entire set of irrational numbers.

So, we can safely say that the set of irrational numbers is not closed under multiplication.

Part B) Is the Product of two rational numbers irrational or rational?

Let a/b and c/d be rational numbers where a, b, c and d are integers and (b, d ≠ 0).

Lets multiple a/b × c/d to check if the product of two rational numbers can be rational or irrational.

So,

a/b × c/d = ac / bd where b, d ≠ 0

As ac and bd are also integers, so the sets are closed under multiplication.

So, ac/bd is a ratio having integers in the nominator and denominator which make it a rational number. Hence, the Product of two rational numbers will be rational.

Proving closure property

Let x and y are rational numbers such that

x = a/b and y = c/d where b, d ≠ 0 and a, b, c and d are integers

x × y = a/b × c/d

xy = ac / bd

As ac and bd are also integers, so the sets are closed under multiplication.

So, ac/bd is a ratio having integers in the nominator and denominator which make it a rational number. Hence, the product of two rational numbers will be rational.

For example,

x = a/b = 6/7

y = c/d = 8/9

xy = a/b × c/d

xy = ac / bd = (6)(8) / (9)(7)

xy = 48/63

As 48 and 63 are the integers, and can be written in a ratio 48/63 in the nominator and denominator which make it a rational number. Hence, the set of rational numbers is closed under multiplication.

Keywords: closure property, rational number, irrational number

Learn more about closure property and rational number from brainly.com/question/7667707

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4 0

3 years ago

I need help for B it’s due tomorrow :(((

zmey [24]

Answer:

Percent Proportion

A percent proportion is an equation where a percentage (%) of the whole is equal to the part of the whole or we can say it is an equation where a percent is equal to an equivalent ratio.

What is Percent Proportion?

When the ratio of part to whole is equal to the ratio of a percent to 100, shows a percent equal to an equivalent ratio, we call it a percent proportion. A percentage is a fraction expressed with 100 as the denominator. When two ratios are equal, they are said to be in proportion. Proportions are denoted by using the symbols "=" or "::". For example, 1/5 :: 20/ 100, and the given proportion is read as "1 is to 5 equals to 20 is to 100".

Percentage in the Form of a Fraction Shows Proportion

Following are the given examples that show how the percentage is converted into fractions and shows the proportion.

25% means 25 parts out of 100 and 25/100 = 1/4 of the total parts (whole). So, the given proportion is read as "25 is to 100 equals to 1 is to 4".

40% means 40 parts out of 100 and 40/100 = 2/5 of the total parts (whole). So, the given proportion is read as "40 is to 100 equals to 2 is to 5".

75% means 75 parts out of 100 and 75/100 = 3/4 of the total parts (whole). So, the given proportion is read as "75 is to 100 equals to 3 is to 4".

Percent Proportion Formula

The percent proportion formula helps in solving problems. It is expressed in form of PART/WHOLE = PERCENT/100, where,

PERCENT is the number with a percent sign.

PART is the number with the word IS.

WHOLE is the number with the word OF.

For example, 30 is what percent of 60? Here IS and OF are used in question where IS is PART and OF is WHOLE. Now with the help of formula, Part/Whole = Percent/100 ⇒ 30 / 60 = Percent /100 ⇒ Percent = (30 / 60) × 100 = 50%

Taking another example, What number is 10 % of 50?

Part/Whole = Percent/100 ⇒ Part/50 = 10/100 ⇒ Part = 5. Therefore, 10% of 50 is 5.

Percent proportion