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3 years ago

Explain Rational, Irrational, Real and Whole Numbers, and Integers and give examples of each.

Mathematics

1 answer:

Rama09 [41]3 years ago

8 0

I'm sorry for been so late.

Rational Numebers: a rational number is any number that can be expressed as the quotient or fraction p/q of two integers, a numerator p and a non-zero denominator q. For example: 1，2，3,-1，-2，-3

Irrational Numbers: an irrational number is a real number that cannot be expressed as a ratio of integers. For example: 1/3, 1/7 , 1/9

Real Numbers: a real number is a value that represents a quantity along a continuous line. For example: all rational and irrational numbers.

Whole Numbers: A member of the set of positive integers and zero. A positive integer. An integer. For example: 142， 20， 1

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Which expression is equivalent to 6/12 divided by 2/3

Ivanshal [37]

Answer: B

Step-by-step explanation:keep changing flip

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3 years ago

Please helppppp pls it's in the screenshot

sergey [27]

Answer:

4. 11/6, 121/36

5. 5/8, 25/64

6. 4/7, 16/49

7. 14/9, 196/81

Step-by-step explanation:

The ratio of perimeters is the same as the ratio of corresponding legs:

perimeter ratio = red leg/blue leg

The area ratio is the square of that:

area ratio = (perimeter ratio)²

perimeter ratio = 11/6

area ratio = (11/6)² = 121/36

perimeter ratio = 5/8

area ratio = (5/8)² = 25/64

perimeter ratio = 4/7

area ratio = (4/7)² = 16/49

perimeter ratio = 14/9

area ratio = (14/9)² = 196/81

3 0

2 years ago

No dia da festança, bianca comprou dos pasteis por $5,20, duas maçãs do amor por $ 3,40 e dois refrigerantes por $7,60. Quanto b

atroni [7]

Responder:

$ 16,2

Explicação passo a passo:

No dia da festa, Bianca comprou os pastéis por US $ 5,20, duas maçãs do amor por US $ 3,40 e dois refrigerantes por US $ 7,60. Quanto bianca você gastou?

O valor gasto por Bianca é a soma de todos os itens que ela comprou:

Pastelaria = $ 5,20

Maçãs do amor = $ 3,40

Refrigerantes = $ 7,60

A soma da soma dá o valor gasto de Bianca:

Doces + Maçãs do Amor + Refrigerante

$ (5,20 + 3,40 + 7,60)

= $ 16,2

5 0

3 years ago

Write the equation of each line using the given information.

Marat540 [252]

A. The equation of the line is y = -0.2 x + 1.9

B. The equation of the line is y = 4 x + 3

C. The equation of the line is y = -8

D. The equation of the line is y = 2 x + 4

Step-by-step explanation:

The slope-intercept form of the equation of a line is y = m x + b, where

m is the slope of the line and b is the y-intercept

The formula of the slope of a line which passes through points $(x_{1},y_{1})$ and $(x_{2},y_{2})$ is $m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}$
The slope of a horizontal line whose equation y = b is zero
The y-intercept means the line intersect the y-axis at point (0 , b)

∵ The line passes through points (2 , 1.5) and (-5 , 36.5)

∴ $x_{1}$ = 2 and $x_{2}$ = -5

∴ $y_{1}$ = 1.5 and $y_{2}$ = 36.5

∵ $m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}$

∴ $m=\frac{-5-2}{36.5-1.5}=\frac{-7}{35}=\frac{-1}{5}$

∴ m = -0.2

∵ y = m x + b

∵ m = -0.2

∴ y = -0.2 x + b

- To find b substitute x and y in the equation by the coordinates of

one of the two given points

∵ x = 2 and y = 1.5

∴ 1.5 = -0.2(2) + b

∴ 1.5 = - 0.4 + b

- Add 0.4 to both sides

∴ 1.9 = b

∴ y = -0.2 x + 1.9

The equation of the line is y = -0.2 x + 1.9

∵ m = 4

∵ y = m x + b

∴ y = 4 x + b

∵ Point (3 , 15) lies on the line

- To find b substitute x and y in the equation by the coordinates

of the given point

∵ x = 3 and y = 15

∴ 15 = 4(3) + b

∴ 15 = 12 + b

- Subtract 12 from both sides

∴ 3 = b

∴ y = 4 x + 3

The equation of the line is y = 4 x + 3

∵ The line has the same slope of line y = 1

- The line whose equation y = 1 is a horizontal line

∵ The slope of the line y = 1 is zero because it is a horizontal line

∴ m = zero

∵ y = m x + b

∴ The equation of the line is y = (0)x + b

∴ y = b

∵ The line passes through point (3 , -8)

- In the horizontal line the y-coordinates of all point lie on the line

are equal

∴ The line intersect the y-axis at point (0 , -8)

∴ b = -8

∴ y = -8

The equation of the line is y = -8

∵ m = 2

∵ y-intercept is at point (0 , 4)

∴ b = 4

∵ y = m x + b

∴ y = 2 x + 4

The equation of the line is y = 2 x + 4

Learn more:

You can learn more about the linear equations in brainly.com/question/4326955

#LearnwithBrainly

6 0

3 years ago

Evaluate the following expression.<br><br> (-3)-2

pentagon [3]

-5 here the answer is really good give me more like that

4 0

3 years ago