1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
zubka84 [21]
3 years ago
5

I have a problem, it says, identify the set of numbers that best describes each situation. The situation is, the amount of money

in a bank account. we are working with, real, rational, irrational, integers, and whole numbers. Is it irrational or rational? ​
Mathematics
1 answer:
Natasha_Volkova [10]3 years ago
3 0

Answer:

Rational

Step-by-step explanation:

We first have to define what these numbers mean:

Real numbers are all the numbers on the number line, they are not imaginary numbers that cannot be quantified on the number line.

Rational numbers are numbers that have either terminating decimals or recurring decimal, for example 5.3 (terminating decimal) or 1.333...(recurring decimal). I did not use the traditional definition of "a/b where a and b are integers and b ≠ 0" because it poses some problems. For instance 22/7 fulfills this condition but it is not a rational number! So it is best defined the way I just defined it.

An irrational number is a number that does not have terminating and recurring decimal, like 3.565215805.....

Integers are real numbers that are whole numbers.

Looking at the situation, which is the money in a bank account. The value will be a number that is rational because it is always an exact amount and this implies that it will always be a terminating decimal. Note that 45.00 is also a terminating decimal.

You might be interested in
PLEASE HELP!<br> Question in picture below!
qaws [65]

Answer:

x = 13/8

Step-by-step explanation:

sqrt(8x-4) +8 = 11

Subtract 8 from each side

sqrt(8x-4) +8-8 = 11-8

sqrt(8x-4) =3

Square each side

(sqrt(8x-4))^2 =3^2

8x-4 = 9

Add 4 to each side

8x-4+4 = 9+4

8x = 13

Divide by 8

8x/8 = 13/8

x = 13/8

6 0
3 years ago
The height of a triangle is 5 inches less than twice the base of the triangle. Which equation ents this relationship if x repres
Vika [28.1K]
Let height = h
Let base = x

h = 2x - 5
4 0
2 years ago
<img src="https://tex.z-dn.net/?f=211%3D6%283%2B8x%29%2B1" id="TexFormula1" title="211=6(3+8x)+1" alt="211=6(3+8x)+1" align="abs
harkovskaia [24]
X=4
211=18+48x+1
211=19+48x
5 0
3 years ago
Read 2 more answers
Name the marked angle in 2 different ways.
Ganezh [65]

Answer:

Right angle, and angle IJK

Step-by-step explanation:

4 0
2 years ago
Read 2 more answers
Determine whether the lines given in each box are parallel, perpendicular, or neither
andrey2020 [161]

Answer/Step-by-sep explanation:

To determine whether the lines given in each box are parallel, perpendicular, or neither, take the following simple steps:

1. Ensure the equations for both lines being compared are in the slope-intercept form, y = mx + b. Where m is the slope.

2. If both lines have the same slope value, m, then both lines are parallel.

3. If the slope of one line is the negative reciprocal of the other, then both lines are perpendicular. That is, x = -1/x.

4. If the slope of both lines are not the same, nor the negative reciprocal of each other, then they are neither parallel nor perpendicular.

1. y = 3x - 7 and y = 3x + 1.

Both have the same slope value of 3. Therefore, they are parallel.

2. ⬜ y = -\frac{2}{5}x + 3 and y = \frac{2}{5}x + 8

The slope of both lines are not the same, nor is the slope of one the negative reciprocal of the other. The slope of one is -⅖ and the slope of the other is ⅖. Therefore, they are neither parallel nor perpendicular.⬜

3. y = -\frac{1}{4}x and y = 4x - 5

The slope of the first line, ¼, is the negative reciprocal of the slope of the second line, 4.

Therefore, they are perdendicular.

4. 2x + 7y = 28 and 7x - 2y = 4.

Rewrite both equations in the slope-intercept form, y = mx + b.

2x + 7y = 28

7y = -2x + 28

y = -2x/7 + 28/7

y = -²/7 + 4

And

7x - 2y = 4

-2y = -7x + 4

y = -7x/-2 + 4/-2

y = ⁷/2x - 2

The slope of the first line, -²/7, is the negative reciprocal of the slope of the second line, ⁷/2.

Therefore, they are perdendicular.

5.⬜ y = -5x + 1 and x - 5y = 30.

Rewrite the second line equation in the slope-intercept form.

x - 5y = 30

-5y = -x + 30

y = -2x/-5 + 30/-5

y = ⅖x - 6

The slope of both lines are not the same, nor is the slope of one the negative reciprocal of the other. The slope of one is -5 and the slope of the other is ⅖. therefore, they are neither parallel nor perpendicular.⬜

6.⬜ 3x + 2y = 8 and 2x + 3y = -12.

Rewrite both line equations in the slope-intercept form.

3x + 2y = 8

2y = -3x + 8

y = -3x/2 + 8/2

y = -³/2x + 4

And

2x + 3y = -12

3y = -2x -12

y = -2x/3 - 12/3

y = -⅔x - 4

The slope of both lines are not the same, nor is the slope of one the negative reciprocal of the other. The slope of one is -³/2 and the slope of the other is -⅔ therefore, they are neither parallel nor perpendicular.⬜

7. y = -4x - 1 and 8x + 2y = 14.

Rewrite the equation of the second line in the slope-intercept form.

8x + 2y = 14

2y = -8x + 14

y = -8x/2 + 14/2

y = -4x + 7

Both have the same slope value of -4. Therefore, they are parallel.

8.⬜ x + y = 7 and x - y = 9.

Rewrite the equation of both lines in the slope-intercept form.

x + y = 7

y = -x + 7

And

x - y = 9

-y = -x + 9

y = -x/-1 + 9/-1

y = x - 9

The slope of both lines are not the same, nor is the slope of one the negative reciprocal of the other. The slope of one is -1, and the slope of the other is 1, therefore, they are neither parallel nor perpendicular.⬜

9. y = ⅓x + 9 And x - 3y = 3

Rewrite the equation of the second line.

x - 3y = 3

-3y = -x + 3

y = -x/-3 + 3/-3

y = ⅓x - 1

Both have the same slope value of ⅓. Therefore, they are parallel.

10.⬜ 4x + 9y = 18 and y = 4x + 9

Rewrite the equation of the first line.

4x + 9y = 18

9y = -4x + 18

y = -4x/9 + 18/9

y = -⁴/9x + 2

The slope of both lines are not the same, nor is the slope of one the negative reciprocal of the other. The slope of one is -⁴/9, and the slope of the other is 4, therefore, they are neither parallel nor perpendicular.⬜

11.⬜ 5x - 10y = 20 and y = -2x + 6

Rewrite the equation of the first line.

5x - 10y = 20

-10y = -5x + 20

y = -5x/-10 + 20/-10

y = ²/5x - 2

The slope of both lines are not the same, nor is the slope of one the negative reciprocal of the other. The slope of one is ⅖, and the slope of the other is -2, therefore, they are neither parallel nor perpendicular.⬜

12. -9x + 12y = 24 and y = ¾x - 5

Rewrite the equation of the first line.

-9x + 12y = 24

12y = 9x + 24

y = 9x/12 + 24/12

y = ¾x + 2

Both have the same slope value of ¾. Therefore, they are parallel.

5 0
3 years ago
Other questions:
  • Zeros of a polynomial function that cannot be shown on the coordinate plane are called ___ zeros.
    6·2 answers
  • What is 825x92. (just practice for 25 points)
    12·2 answers
  • PLZ HELP
    12·2 answers
  • Please Help Quick!!!
    10·1 answer
  • can you assume that any fraction is in simplest form if either the numerator or denominator is a prime number?
    7·2 answers
  • 1 1/4 X 5 3/4 = _________________
    12·2 answers
  • Beverly is painting a mural on a 1-square-meter section of a wall. She has completed a rectangular part of the mural that's is 5
    8·2 answers
  • Enter the correct answer in the box.
    5·2 answers
  • a linear function contains the following points. what are the slope and y-intercept of this function?
    14·1 answer
  • Evaluate the expression. simplify your answer. 2/3 x 1/4 / 4/5
    11·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!