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Ksivusya [100]
3 years ago
12

I am giving brainlist to quickest and the correct answer

Mathematics
1 answer:
Andrei [34K]3 years ago
4 0

Answer:

<h2>83</h2><h2 /><h2>Division</h2>

Division is one of the four basic operations of arithmetic, the ways that numbers are combined to make new numbers. The other operations are addition, subtraction, and multiplication (which can be viewed as the inverse of division). The division sign ÷, a symbol consisting of a short horizontal line with a dot above and another dot below, is often used to indicate mathematical division. This usage, though widespread in anglophone countries, is neither universal nor recommended: the ISO 80000-2 standard for mathematical notation recommends only the solidus / or fraction bar for division, or the colon for ratios; it says that this symbol "should not be used" for division.

At an elementary level the division of two natural numbers is – among other possible interpretations – the process of calculating the number of times one number is contained within another one. This number of times is not always an integer (a number that can be obtained using the other arithmetic operations on the natural numbers), which led to two different concepts.

The division with remainder or Euclidean division of two natural numbers provides a quotient, which is the number of times the second one is contained in the first one, and a remainder, which is the part of the first number that remains, when in the course of computing the quotient, no further full chunk of the size of the second number can be allocated.

For a modification of this division to yield only one single result, the natural numbers must be extended to rational numbers (the numbers that can be obtained by using arithmetic on natural numbers) or real numbers. In these enlarged number systems, division is the inverse operation to multiplication, that is a = c / b means a × b = c, as long as b is not zero. If b = 0, then this is a division by zero, which is not defined.[a]:246

Both forms of division appear in various algebraic structures, different ways of defining mathematical structure. Those in which a Euclidean division (with remainder) is defined are called Euclidean domains and include polynomial rings in one indeterminate (which define multiplication and addition over single-variabled formulas). Those in which a division (with a single result) by all nonzero elements is defined are called fields and division rings. In a ring the elements by which division is always possible are called the units (for example, 1 and –1 in the ring of integers). Another generalization of division to algebraic structures is the quotient group, in which the result of 'division' is a group rather than a number.

<h2>Simple Division</h2>

The simplest way of viewing division is in terms of quotition and partition: from the quotition perspective, 20 / 5 means the number of 5s that must be added to get 20. In terms of partition, 20 / 5 means the size of each of 5 parts into which a set of size 20 is divided. For example, 20 apples divide into five groups of four apples, meaning that twenty divided by five is equal to four. This is denoted as 20 / 5 = 4, or  20  /  5

= 4. What is being divided is called the dividend, which is divided by the divisor, and the result is called the quotient. In the example, 20 is the dividend, 5 is the divisor, and 4 is the quotient.

Unlike the other basic operations, when dividing natural numbers there is sometimes a remainder that will not go evenly into the dividend; for example, 10 / 3 leaves a remainder of 1, as 10 is not a multiple of 3. Sometimes this remainder is added to the quotient as a fractional part, so 10 / 3 is equal to 3 +  1  /  3

or 3.33..., but in the context of integer division, where numbers have no fractional part, the remainder is kept separately (exceptionally, discarded or rounded). When the remainder is kept as a fraction, it leads to a rational number. The set of all rational numbers is created by extending the integers with all possible results of divisions of integers.

Unlike multiplication and addition, division is not commutative, meaning that a / b is not always equal to b / a. Division is also not, in general, associative, meaning that when dividing multiple times, the order of division can change the result. For example, (20 / 5) / 2 = 2, but 20 / (5 / 2) = 8 (where the use of parentheses indicates that the operations inside parentheses are performed before the operations outside parentheses).

(~ ̄▽ ̄)~Hope this helps!

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a farmer wants to fence in three sides of a rectangular field shown below with 960 feet of fencing. The other side of the rectan
Alika [10]

9514 1404 393

Answer:

  240 ft by 480 ft

Step-by-step explanation:

Area is maximized when the long side is half the total length of the fence. That makes the short side (out from the river) be half the length of the long side.

The fenced field dimensions are 240 feet by 480 feet.

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You can let x represent the length of the long side. Then the length of the short side is half the remaining fence: (960 -x)/2.

The total area is the product of these dimensions:

  A = x(960 -x)/2

We note that this is the equation of a parabola with zeros at x=0 and x=960. The maximum will be found on the line of symmetry, halfway between the zeros. That is at x = (0 +960)/2 = 480.

The area is maximized for a long-side dimension of 480 feet. The short sides are 240 feet.

3 0
3 years ago
URGENT HELP PLEASE
sammy [17]

Answer:

slope1 : 7,  slope 2 = 3     solution: (2,5)

Step-by-step explanation:

I simplify some steps

pair 1:    x1   0     2

            y1   -9     5 ........ -9, y1 intercept

pair 2:   x2   0    2

             y2  -1    5   ........ -1, y2 interept

2 pairs meet at (2,5)

y=7x-9 ......A

y=3x-1  ......B

A-B    0=4x-8

4x=8

x=2

y=5

slope 1=( y2-y1) / (x2-x1) = (5- -9)/(2-0) = 14/2 =7

slope 2 = (5 - -1) / (2 - 0) = 6/2 = 3

8 0
3 years ago
Josie is training for a race. The ratio ofthe number of minutes she runs to thenumber of miles she runs is 24 to 3.She plans to
Tpy6a [65]

Answer:

 80 minutes

Step-by-step explanation:

The ratio can be simplified and rewritten:

 minutes : miles = 24 : 3 = 8 : 1 = 80 : 10

It will take Josie 80 minutes to run 10 miles at her 8 minutes/mile pace.

5 0
3 years ago
Simplify -12+8+5+(-9)​
Zinaida [17]
FIRST Remove parentheses.
−12+8+5-9

Simplify -12+8 to -4

-4 + 5 — 9

Simplify
−4 + 5 −4+5 to 1
1 — 9

Simplify

-8 is your answer
3 0
3 years ago
Read 2 more answers
Which is closest to the value of w in the triangle below?
mr Goodwill [35]

Answer: B. 2.5 in

Step-by-step explanation:

From the given right angle triangle,

the hypotenuse of the right angle triangle is the unknown side.

With m∠32 as the reference angle,

the adjacent side of the right angle triangle is 4 in

the opposite side of the right angle triangle is w

To determine w, we would apply

the tangent trigonometric ratio which is expressed as

Tan θ = opposite side/adjacent side. Therefore,

Tan 32 = w/4

w = 4tan32 = 4 × 0.625

w = 2.5 in

8 0
3 years ago
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