Evaluate |15 - 23

Add using the number line. −1.2+2.9 Select the location on the number line to plot the point. -2.52.5-2-1.5-1-0.500.511.52.

Thepotemich [5.8K]

Answer: The number gotten from the number line is 1.7,

Kindly find an attached diagram to indicate the number line.

Step-by-step explanation:

DEFINITION: The number line is a straight line with numbers found at equal intervals and it can extend to negative and positive infinity respectively. The number line provides a means of abstraction for Real Numbers and can be used for adding and subtracting.

Kindly find the attached the diagram showing the number line. Refer to the diagram to understand how the answer was derived.

STEP 1: Draw a straight line to denote the number line and attach two arrows at the extremes of the line (looking in opposite directions) to indicate the continuation of numbers extending to infinity and negative infinity respectively.

STEP 2: Find a point to denote as Zero (0) as the midpoint to start the calibration, then take equal intervals of distance to denote number points (as is shown in the drawn attachment).

Denote the intervals -2.5, -2.0, -1.5, -1.0, -0.5, 0, 0.5, 1, 1.5. 2. 2.5. 3.0

STEP 3: Draw small intervals of -0.1 and 0.1 for both the positive and negative sides of the number line.

STEP 4: Now, choose either -1.2 or 2.9,

IF -1.2 is chosen count two -0.1 intervals left of -1.0 and mark a circle indicating -1.2, then count right 29 intervals (denoting 2.9) to find the answer which is 1.7.

IF 2.9 is chosen count four 0.1 intervals right of 2.5 and mark a circle indicating 2.9, then count left 12 intervals (denoting -1.2) to find the answer which is 1.7.

7 0

3 years ago

How many ways can David pick four of the first twelve positive integers such that no two of the numbers he picks are consecutive

vekshin1

Answer:

70 times

Step-by-step explanation:

5 consecutive even integers: 2n, 2n+2, 2n+4, 2n+6, 2n+8 for any integer n The sum of the two smallest of five consecutive even integers is 50 less than the sum of the other three integers: 2n + 2n+2 = 2n+4 + 2n+6 + 2n+8 - 504n + 2 = 6n -3234 = 2nn = 17 The smallest integer in our sequence is 2n = 2*17 = 34 Check:2n + 2n+2 = 2n+4 + 2n+6 + 2n+8 - 5034 + 36 = 38 + 40 + 42 - 5070 = 120 - 5070 = 70

6 0

3 years ago

PLEASE NEED HELP PROPOTION AND PERCENTS !!!WILL GIVE BEST RATE

vlabodo [156]

Answer:

80

Step-by-step explanation:

40 is 100

32 is x

100*32/40=80

3 0

3 years ago

Read 2 more answers

Is 3.734795.... a rational or irrational number? and why

Marina CMI [18]

Answer:

Let's look at what makes a number rational or irrational ...

Rational Numbers

A Rational Number can be written as a Ratio of two integers (ie a simple fraction).

Example: 1.5 is rational, because it can be written as the ratio 3/2

Example: 7 is rational, because it can be written as the ratio 7/1

Example 0.333... (3 repeating) is also rational, because it can be written as the ratio 1/3

Irrational Numbers

But some numbers cannot be written as a ratio of two integers ...

...they are called Irrational Numbers.

Example: π (Pi) is a famous irrational number.

Pi

π = 3.1415926535897932384626433832795... (and more)

We cannot write down a simple fraction that equals Pi.

The popular approximation of 22/7 = 3.1428571428571... is close but not accurate.

Another clue is that the decimal goes on forever without repeating.

Cannot Be Written as a Fraction

It is irrational because it cannot be written as a ratio (or fraction),

not because it is crazy!

So we can tell if it is Rational or Irrational by trying to write the number as a simple fraction.

Example: 9.5 can be written as a simple fraction like this:

9.5 =

19

2

So it is a rational number (and so is not irrational)

Here are some more examples:

Number As a Fraction Rational or

Irrational?

1.75

7

4

Rational

.001

1

1000

Rational

√2

(square root of 2) ? Irrational !

Square Root of 2

Let's look at the square root of 2 more closely.

square root 2 When we draw a square of size "1",

what is the distance across the diagonal?

The answer is the square root of 2, which is 1.4142135623730950...(etc)

But it is not a number like 3, or five-thirds, or anything like that ...

... in fact we cannot write the square root of 2 using a ratio of two numbers

... I explain why on the Is It Irrational? page,

... and so we know it is an irrational number

Famous Irrational Numbers

Pi

Pi is a famous irrational number. People have calculated Pi to over a quadrillion decimal places and still there is no pattern. The first few digits look like this:

3.1415926535897932384626433832795 (and more ...)

e (eulers number)

The number e (Euler's Number) is another famous irrational number. People have also calculated e to lots of decimal places without any pattern showing. The first few digits look like this:

2.7182818284590452353602874713527 (and more ...)

phi

The Golden Ratio is an irrational number. The first few digits look like this:

1.61803398874989484820... (and more ...)

radical symbol

Many square roots, cube roots, etc are also irrational numbers. Examples:

√3 1.7320508075688772935274463415059 (etc)

√99 9.9498743710661995473447982100121 (etc)

But √4 = 2 (rational), and √9 = 3 (rational) ...

... so not all roots are irrational.

pls, branliest :)

7 0

3 years ago

The prism is completely filled with 1750 cubes that have edge length of 1/5 ft. What is the volume of the prism? Enter your answ

IgorC [24]

Answer:

14 ft³

Step-by-step explanation:

First, find the volume of a single cube: V = s³, where s = side length

V = s³; s = 1/5

V = (1/5)³

V = 0.008 ft³

**Note: (1/5)³ is equal to 1/125 as a fraction. I put it down in decimal form because it's easier for me to work with decimals.**

Now, to find the volume of the prism (which is completely filled with cubes), multiply the volume of one cube by the total number of cubes: 1750.

(1750)(0.008)

14 ft³

The volume of the prism is 14 ft³.

Hope this helps!

8 0

2 years ago

Evaluate |15 - 23 | =