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
aev [14]
2 years ago
15

List five rational numbers between -4/5 and -2/3 . Please tell by step by step explaintion ​

Mathematics
1 answer:
attashe74 [19]2 years ago
7 0

9514 1404 393

Answer:

  -0.67, -0.68, -0.69, -0.70, -0.71

Step-by-step explanation:

There are an infinite number of ways to do this.

Perhaps the simplest is to do it in decimal.

 -4/5 = -0.8

  -2/3 = -0.666... (repeating 6)

Any negative decimal number between these values will do. For example, ...

  -0.67, -0.68, -0.69, -0.70, -0.71

__

If you want to choose fractions that are evenly spaced between the given values, you can find their difference, then divide that difference into 6 parts (1 more than the number of numbers you need).

  -2/3 -(-4/5) = 4/5 -2/3 = (12 -10)/(5·3) = 2/15 . . . . length of interval

  1/6 of this difference is ...

     (1/6)(2/15) = 2/90 = 1/45

The interval end point nearest 0 is ...

  -2/3 = -30/45

so the 5 intermediate values will be that value with -1/45 repeatedly added:

  -31/45, -32/45, -33/45 = -11/15, -34/45, -35/45 = -7/9

_____

<em>Additional comment</em>

The fractions we came up with could be referred to as "5 arithmetic means between -2/3 and -4/5." There is nothing in the problem statement suggesting the values need to be evenly spaced.

When doing this in decimal, you can obtain a new value simply by adding more digits to the decimal fraction:

  -0.68, -0.685, -0.6853, -0.68531, -0.799

You might be interested in
What are the first three terms of the sequence modeled by the recursive function an=1/2an-1 when a1=1?
loris [4]

Answer:

Option A is correct that is 1,\frac{1}{2},\frac{1}{4}

Step-by-step explanation:

We have been given a formula a_n=\frac{1}{2}\cdot a_n-1

a_1=1

We will put values of n in a_n=\frac{1}{2}\cdot a_n-1

when n=2 we get

a_2=\frac{1}{2}\cdot a_2-1

\Rightarrow a_2=\frac{1}{2}\cdot a_1

\Rightarrow a_2=\frac{1}{2}\cdot 1

\Rightarrow a_2=\frac{1}{2}

when n=3

a_3=\frac{1}{2}\cdot a_2

\Rightarrow a_3=\frac{1}{2}\cdot \frac{1}{2}

\Rightarrow a_3=\frac{1}{4}

Therefore, Option A is correct that is 1,\frac{1}{2},\frac{1}{4}

6 0
3 years ago
Read 2 more answers
Sinxcosy = 1/2 (sin(x+y)+cos (x-y))
sasho [114]
<span>(1/2) [SIN(X-Y)-SIN(X+Y)]= COS(X)SIN(Y)</span>
8 0
3 years ago
The Polygons are similar. Find the value of x. ​
ollegr [7]

Answer:

13

Step-by-step explanation:

8/2=16/4

=4

x-3=2.5*4

x=10+3

x=13

8 0
3 years ago
Read 2 more answers
HELP ON AREA PLZZZZ HELP
Oksana_A [137]

Answer:

70cm

Step-by-step explanation:

Area of triangle:              (5.8x4)/2=11.6

Area of big rectangle:     8x5.8=46.4

Area of small rectangle:  2.4x5=12

12+46.4+11.6=70

7 0
3 years ago
Read 2 more answers
What is the name of the triangle in which none of the sides have the same length?
VikaD [51]
When a triangle has two congruent sides it is called an isosceles triangle. The angles opposite to the two sides of the same length are congruent. A triangle without any congruent sides or angles is called a scalene triangle. When two triangles are congruent it means that they have the same size and shape.                                                                                                                                  please make me brainliest
6 0
3 years ago
Other questions:
  • Line q contains the points, (1, 5) and (1, 8). What is the relationship between the slope of line q and the slope of the x-axis?
    6·2 answers
  • Which graph shows a dilation of the triangle with a scale factor of 3
    9·2 answers
  • Determine the maximum number of zeros of the polynomial function -8x^4-x^2+2 a. 1 c. 3 b. 4 d. 2 Please select the best answer f
    11·1 answer
  • Can someone help me with this answer please
    10·1 answer
  • A square has the perimter of 36 cm what is the area
    13·2 answers
  • Someone please help me
    7·1 answer
  • Correct answer gets BRAINLIEST!
    12·2 answers
  • Trying to finish this test at 3:30 am plz help
    12·1 answer
  • Need help with this confusing
    11·2 answers
  • The aspect ratio of the television screen is 16:9 and it is 63cm High. What is its width?
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!