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

Answers

Answer 1

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

_____

Additional comment

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


Related Questions

Which of the following is the correct expansion of (x + 3)(x + 4)?

Answers

Answer:

(x + 3)(x + 4)

x(x+4)+3(x+4)

[tex] {x}^{2} + 4x + 3x + 12[/tex]

[tex] {x}^{2} + 7x + 12[/tex]

Answer:

It's x2 + 7x + 12 by added the two X at the start then added 3 + 4 to get 7 then 3×4 to get 12

1. Solve 4x – 5 > 2x + 17.
There’s a line _ under the greater sign

Answers

Answer:

X is grater than or equal to 6

Step-by-step explanation:

4x -5 > 2x + 17

+5 > 2x - 5

4x > 2x + 12

--

4

Factor x3 – 7x + 6 completely given that (x - 2) is a factor.

Answers

Find one factor

[tex](x-2)(x^{2} +2x-3)[/tex]

Find one factor

[tex](x-2)(x-1)(x+3)[/tex]

[tex]solution:(x-2)(x-1)(x+3)[/tex]

Helpp i have 12 minutes

Answers

Answer:

the answer is 924.8 round it up and you get 925

Step-by-step explanation:

Briarwood middle school chess club has 40 members 14 of the members are in seventh grade what percent of the members of the chess club in seventh grade

Answers

Answer:

i got you

Step-by-step explanation:

40% because it is

please help.... fast​

Answers

Answer:

Napakadali lang sagutin nyan pre basic mangiba naman dapat Ang sagot ay SAS hopefully all

Solve: sin(11pi/2 +x)= -1/2 for [pi, 2pi]

Answers

Step-by-step explanation:

Step-by-step explanation: Given the expression sin(11pi/2 +x) =-1/2. Take the arcsin of both sides. sin⁻¹[sin(11pi/2 +x)]

I keep getting D wrong

Answers

Answer:

The amount is $18548.38 and the interest is $2548.38

Steps for solution:

First you want to use the formula A=P(1+[tex]\frac{r}{n}[/tex])^n*t. A= total amount, P= principle or amount of money deposited, r= annual interest rate, n= number of times compounded per year. and t= time in years. In the problem we have P= $16000, r= 3%, n= 1 and t= 5 years. The first picture is the formula used to find the total amount. After we use the formula A=P+I, since A=18548.38 and P=16000. The second picture represents the interest after 5 years.

Consider and define which type of slope the line has.

Answers

Answer:

think of the numbers as the grid. zero being the middle and each square being 1 2 3 4 5 6 etc to the right of 0 are your positive, -1 -2 -3 etc move to the left of that line, your other access from zero goes up to positive one positive 2 positive 3 etc, from zero down you would be negative one negative 2 negative 3 etc

Answer:

1) (-7, 8) and (-7, 0) - Undefined Slope.

2) (3, 5) and (-1, 2) - Positive Slope.

3) (2, 4) and (5, 1) - Negative Slope.

4) (6, -3) and (4, -3) - Zero Slope.

1) In the coordinates (-7, 8) and (-7, 0), we can see that the first number in both coordinates (the x point) is -7. If the x values are the same, that means that the line does not change at all horizontally/on the x-axis. The only solution to a line that passes through these points would be a vertical line. Vertical lines always have an undefined slope. To test, use the slope formula with the coordinates. y2 is the y in the second coordinate, y1 is the y from the first coordinate, x1 is the x from the first coordinate, and x2 is the x from the second coordinate.

[tex]\frac{y2 - y1}{x2 - x1} = slope[/tex]        

[tex]\frac{0 - 8}{-7 - (-7)} = slope[/tex]   0 - 8 = -8 and -7 - (-7) = -7 + 7 or 0. Any number divided by 0 is undefined.

2) In the coordinates (3, 5) and (-1, 2) there isn't any obvious abnormality in the coordinates that may cause undefined or 0. We can use the slope formula to find if it has a positive or negative slope.

[tex]\frac{y2 - y1}{x2 - x1} = slope[/tex]        

[tex]\frac{2 - 5}{-1 - 3} = slope[/tex]   2 - 5 = -3 and -1 - 3 = -4.  [tex]\frac{-3}{-4}[/tex]  simplifies to 3/4, so the slope is positive.

3) (2, 4) and (5, 1) also don't have any repeating numbers in the coordinates so we can find the slope using the formula.

[tex]\frac{y2 - y1}{x2 - x1} = slope[/tex]        

[tex]\frac{1 - 4 }{5-2} = slope[/tex]   1 - 4 = -3 and 5 - 2 = 3   [tex]\frac{-3}{3}[/tex] = -1, so the slope is negative.

4) (6, -3) and (4, -3) have the same y values in them, -3. If the y value stays constant then that means the line does not move along the y-axis. This means that it must be a straight line through 1 point on the y-axis. It is a horizontal line. The slope of a horizontal line is always 0 because is straight. You can check using the slope formula.

[tex]\frac{y2 - y1}{x2 - x1} = slope[/tex]        

[tex]\frac{-3 - (-3) }{4 - 6} = slope[/tex]   -3 - (-3) = -3 + 3 = 0 and 4 - 6 = -2. [tex]\frac{0}{2}[/tex] = 0. The slope is 0.

Let me know if you have any questions!

please help need this done by tomorrow thank you [PHOTO]​

Answers

Answer:

Step-by-step explanation:

The two angles must add to 180

(4x-2)+(3x+14)=180

7x+12=180

7x=168

x=24

X = 24 is your answer

Write the equation of the line, given the y and x-intercepts. a x-intercept = –68, y-intercept = –34

Answers

Answer:

In slope-intercept form, y = -17/34 - 34

Step-by-step explanation:

For the two points, you have (-68, 0) and (0, -34). To get the slope, you take (y-y) / (x-x). Stay consistent on the order you do those. After I did (-34 - 0) / (0 - 68), simplified it, and got a slope of -17 / 34. You are already given the y-intercept, so you just write the equation from there (y = -17/34 - 34)

A landscape supply business charges $30 to deliver mulch. The cost of the mulch is $23 per cubic yard.
Vrite and solve a linear equation to find the cost of having 8 cubic yards of mulch delivered to a site.

Answers

Answer:

209

Step-by-step explanation:

1 1
11
yly
УУ УУ
Part A
? Question
Create an equation from the model that describes the relationship between the weights on each side of the scale
Enter the correct answer in the box.
0 0 0
OP
α β
sin cos tan sin cos tan!
0
2 Δ Ο
Σ
0
X
A

Answers

9514 1404 393

Answer:

  2y +3 = 4y +2

Step-by-step explanation:

The left side shows 2y +3.

The right side shows 4y +2.

The scale is shown in balance, so we must have ...

  2y +3 = 4y +2 . . . . equation from the model

__

The solution can be found by subtracting 2y+2 from both sides to leave ...

  1 = 2y

Then we can divide both sides by 2 to find what y stands for:

  1/2 = y . . . . solution to the equation

m
+ 4 = 7
Step One:
Step Two:
Step Three:
Step Four:
ma9
m/3+4+4+7+4
m/3-7
m=21
m/3+4-47-4
m/3*3+4=743
m/3-3
ma17
m/3+4-3=7-3
m/3*3=3*3
m/3+7=4
m=3
m/3+8=11
m/314-4=7
m+4=21

Answers

Answer:

see below

Step-by-step explanation:

m/3 + 4 = 7

Subtract 4 from each side

m/3+4-4 = 7-4

m/3 = 3

Multiply each side by 3

m/3*3 = 3*3

m =9

hiiii help??????? Please and thanks

Answers

Answer:

welcome❤ though❤ you can be there in the afternoon and you can be there with me

Let
A
=
{
1
,
2
,
6
}
and B={x
|
x is an odd whole number less than 8},

Answers

Answer:

I think the answer is 1. The problem is unclear though

Find values of x and y.
(x +12)/yº
114

Answers

9514 1404 393

Answer:

  x = 54

  y = 114

Step-by-step explanation:

The angle marked y° corresponds to the one marked 114°. Corresponding angles in this geometry are congruent, so ...

  y = 114

__

The angle marked (x+12)° and the one marked y° form a linear pair, so are supplementary:

  (x +12)° +114° = 180°

  x +126 = 180 . . . . . . . . divide by °, collect terms

  x = 54 . . . . . . . . . . . . subtract 126

Use the y- and x- intercepts to write the equation of the line. y-intercept (0, -6), x-intercept (-2, 0)

Answers

Hi there! :)

We are given 2 points. It means we can use the following formula to find the slope:

m=[tex]\frac{y2-y1}{x2-x1}[/tex]

m=[tex]\frac{0-(-6)}{-2-0\\} \\\frac{0+6}{-2}\\\frac{6}{-2} \\-3[/tex]

So the slope is -3

First, let's write the equation of the line in point-slope form.

y-y1=m(x-x1)

y-(-6)=-3(x-0)

y+6=-3(x+0)

y+6=-3x+0

y=-3x+0-6

y=-3x-6

Hope this helps!

~Just an emotional teen who listens to her favorite song "Try Everything"

[tex]SilentNature[/tex]

Can someone help me on what I could do to do better for my classes cause most on them I got a low grade and I think I might have to go to summer school if I don’t do good, also I have this huge test today and I think I’m gonna fail on it

Answers

Answer:

Dont worry man take a deep breath just try your best and if worse case you do bad and on the test take your time and don’t feel pressured

Step-by-step explanation:

Answer:

nope. you only go to summer school if you flunked about 60% of your core subjects. and/or if you also flunked your PAT'S/SAT'S. don't worry buddy.

According to the graph what is the value of the constant in the equation below


A. 60
B.15
C.72
D.30

Answers

Answer:

60

Step-by-step explanation:

Using the height and width values shown you can calculate the constant:

30 = constant/2

Constant = 30 x 2

Constant = 60

Give an example of a number between 20 and 50 which is a multiple of 3 and also a factor of 84.​

Answers

Answer:

69

Step-by-step explanation:

by eliminating 20 from 84 we get 64 then add the 3 to get 67 and then we know that we always add 2 to our answers and therefore get 69

Plz help I need help

Answers

Answer:

Proportional

Step-by-step explanation:

Cho tam giác ABC có diện tích= 105cm vuông. Trung tuyến AM và BN cắt nhau tại G.
a)Tính diện tích tam giác AMC và diện tích tam giác MnC
b)Tính diện tích tam giác ABG

Answers

Answer:

english pls.

Step-by-step explanation:

showing wrong transalation in transalate

Solve algebraically for x 3600 + 1.02x < 2000 + 1.04 x

Answers

Answer:

x>80000

Step-by-step explanation:

3600+1.02x<2000+1.04x=x>80000

The cost for one ticket to a jazz concert is $7.50. Two tickets cost $15. Write an equation in point-slope form to represent the total cost y for x tickets.

Answers

An equation in the point-slope form to represent the total cost y for x tickets is [tex]y-15 = 2(x-2)\\[/tex]

Let the cost of ticket be C

Let the number of tickets be x

The coordinate for the cost of a ticket will be written as: (x, C)

If the cost for one ticket to a jazz concert is $7.50, this is represented in coordinate form as (1, 7.50)

If two tickets cost $15, his is represented in coordinate form as (2, 15)

Get the slope of the equation

[tex]m =\frac{15-7.5}{2-1}\\m=\frac{7.5}{1}\\m = 7.5\\[/tex]

Get the equation in point-slope form

[tex]y-y_1 = m(x-x_1)\\[/tex]

Substitute the slope and one of the point into the formula:

[tex]y-15 = 2(x-2)\\[/tex]

Hence an equation in the point-slope form to represent the total cost y for x tickets is [tex]y-15 = 2(x-2)\\[/tex]

Learn more here: https://brainly.com/question/13075635

SOMEBODY PLEASE HELP ME!!!!!!!
Solve each system of equations
-3x + 3y =4
-x + y =3​

Answers

The 2 equations have no solution. If both are true, then

-3x + 3y = 4

-x + y = 4/3

Thus, 3 = 4/3, which is obviously wrong. Pls mark me as brainliest!

Which term best describes the geometric figure?

Line
Point
Ray
Segment

Answers

Answer:

point

Step-by-step explanation:

the dot has no connectives or no paths

The best describes the geometric figure is a point. SO option B is correct.

What is a line segment?

A line segment is a part of a line that connects two points which are considered to be its endpoints.

If points A and B are connected by a series of points that extended infinitely in opposite direction then AB is a line.

Therefore, The best describes the geometric figure is a point. SO option B is correct.

Find out more information about line segment here;

brainly.com/question/25727583

#SPJ5

plzzzzzz help meeeee​

Answers

Answer:

Step-by-step explanation:

For A, 7x=21, it is asking, 7 multiplied by what number is 21? We can try to figure it out. Let's start with 0.

7(0)≠21

Then 1.

7(1)≠21

7(2)≠21

7(3)=21

Therefore, for question a, the answer is 3.

For question b, it's asking 6 minus what is 2.

With this one, we can say it is 4, since 6-4=2.

Now moving on to B.

a) 2x+4=16

We need to isolate x in order to find it's value.

So we can begin with subtracting 4 from both sides, getting us:

2x=12

Then, if we divide both terms by 2, we get x.

x=12/2

x=6.

b)

3 x (z/4)=9

Again, we need to isolate z.

So, we multiply both sides by 4, getting us

3z=36

then we divide by 3

z=36/3

z=12

c) 16-x=2

Here we simply subtract 16 from each side, then flip the signs to get positive x.

So, 16-x=2

-x=-14

x=14

d) 4k=20

This is essentially asking, 4 times what number is 20?

So we can divide both sides by 4 and get

k=20/4

k=5

Please help i will give 100 points

Answers

First:

X = 15

Step-by-step explanation:

So the two angles are congruent, or they are the same angle. So you write the equation as 5x + 9 = 84.

5x + 9 = 84

      -9     -9

5x = 75

(divide) 5 from both sides

x = 15

Second:

X = 27

Step-by-step explanation:

For this one I believe the answer is X = 27 because both equations should equal 180 degrees.

So you write the final equation:

(x + 72) + (3x) = 180

     -72                -72

(combine X's):

4x = 108

Divide both sides by 4

X = 27

Third:

X = 40

Step-by-step explanation:

For this one, the angles match again, so you write it s:

4x - 50 = 2x + 30

    +50           +50

4x = 2x +80

-2x  -2x

2x = 80

Divide both sides by 2

X = 40

End

I super hope this helped!

Maybe brainliest? No pressure!

Let me know if this works or you need more help!

solve for t 1/4(4t-9) = 1/8(t+9)

Answers

Answer:

27/7

Step-by-step explanation:

by calculator..

or you can do these steps

1/4(4t-9)=1/8(t+9) "divided l.h.s and r.h.s by ⅛"

2(4t-9)=t+9.

8t-18=t+9

7t=27

t=27/7

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