Write 0.2 repeating as a fraction in simplest form.

Step-by-step explanation:

[tex](2x - 6) \frac{3}{2} = 21 - 4x \\ \\ lcm = 2 \\ 2\times (2x - 6) \frac{3}{2} = (21 \times 2) -( 4x \times 2) \\ \\ 3(2x - 6) = 42 - 8x \\ 6x - 18 = 42 - 8x \\ 6x + 8x = 42 + 18 \\ 14x = 60 \\ x = \frac{30}{7} = 4.286(2.d.p)[/tex]

Answer:

Step-by-step explanation:

x(x² + 2x + 4)-2((x² + 2x + 4)

x³+2x²+4x -2x²-4x-8

x³-8

Step-by-step explanation:

x = 1/4

4x = 4 * 1/4 = 4/4 = 1.

Answer:

[tex]x = 8[/tex]

Step-by-step explanation:

Recall that horizontal lines have a slope of zero, while vertical lines have an undefined slope.

Therefore, the line must be vertical.

And since it is vertical, we will only need to consider the x-coordinate of our point.

The x-coordinate of (8, -3) is 8.

Hence, the equation of the line that passes through (8, -3) with an undefined slope is:

[tex]x = 8[/tex]

Answer: x= 8

Step-by-step explanation:

It is a vertical line that passes through point 8 on the x axis.

Answer: I believe its the one that says "each dog is fed between 1 and 3 pounds of dog food each week"

Step-by-step explanation:

To give each dog an equal amount you'd have to divide 20 by 7.

20 / 7

when you do that is doesn't come out to a whole number

20 / 7 = 2.8571428571

anything higher than 2.8 pounds would go over his limit of 20 pounds

so true statement I think would be the one that says between 1 and 3.

Answer:

mathematics make our brain fast and sharp

Answer:

b

Step-by-step explanation:

Answer:

187.5

Step-by-step explanation:

6% of 3125 ​

=> 6/100 x 3125

=> 18750/100

=> 187.5

Answer:

-8.5 but i am not sure

The rational number between -8 and -9 can be -8.1, -8.2, -8.3, -8.4, -8.5, -8.6, -8.7, -8.8, -8.9,

Given,

-8 and -9

We need to find a rational value between -8 and -9.

A number that can be written in the form p/q and is terminating and recurring.

Example:

2, 1/3, 5/2

Find the rational number between -8 and -9.

In between -8 and -9 we can have the following number:

-8.1, -8.2, -8.3, -8.4, -8.5, -8.6, -8.7, -8.8, -8.9

We see that all these values are rational numbers.

Thus -8.1, -8.2, -8.3, -8.4, -8.5, -8.6, -8.7, -8.8, -8.9 can be an example of rational number between -8 and -9.

Learn more about rational numbers here:

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Answer:

x = 15

Angle ABC = 57°

Step-by-step explanation:

Hi there!

We're given:

⇒ ABD is a straight line

⇒ Angle ABC = 5x-18 degrees

⇒ Angle DBC = 8x+3 degrees

ABD is a straight line, meaning it measures an angle of 180 degrees.

Angles ABC and DBC create line ABD, so therefore, their sum is equal to 180 degrees:

[tex](5x-18)+(8x+3)=180[/tex]

Open the parentheses:

[tex]5x-18+8x+3=180[/tex]

Combine like terms:

[tex]13x-15=180\\13x=195[/tex]

Divide both sides by 13 to isolate x:

[tex]x=15[/tex]

Therefore, x = 15.

To find angle ABC, replace x with 15 in 5x-18:

[tex]5x-18\\=5(15)-18\\=75-18\\=57[/tex]

Therefore, the measure of angle ABC is 57 degrees.

I hope this helps!

Answer:

[tex]( x + 4 )^2 + ( y - 7 )^2 = 36[/tex]

Step-by-step explanation:

Use the circle equation, [tex]( x - h )^2 + ( y - k )^2 = r^2[/tex]

Plug in the center and radius:

[tex]( x + 4 )^2 + ( y - 7 )^2 = 6^2[/tex]

Simplify:

[tex]( x + 4 )^2 + ( y - 7 )^2 = 36[/tex]

So, the equation is [tex]( x + 4 )^2 + ( y - 7 )^2 = 36[/tex]

Answer:

3-a

Step-by-step explanation:

it involves variables like x, y, z

in this case a

Answer:

B

Step-by-step explanation:

For a function to be a function, every x value can only equal a single y value. A has two y values for one x value, and so does C and D. This leaves only B.

Answer:

Step-by-step explanation:

First of all, your formula isn't right. In general, the KE = 1/2 m * v^2

KE = 1/2 m * v^2                         Multiply both sides by 2

2*Ke = m * v^2                           Now divide by v^2

2*Ke/v^2 = m

Answer:

x-3

Step-by-step explanation:

the inverse is x-3

this is the answer

Answer:

Angle x = 90 - 47 = 43 degrees

Angle g = 90 - 43 = 47 degrees

Step-by-step explanation:

Answer: Circumference = 7.85 inches

Concept:

Here, we need to know the idea of circumference.

The circumference is the perimeter of a circle. The perimeter is the curve length around any closed figure.

Circumference = 2πr

r = radius

π = constant

Solve:

Given information

r = (1/2) d = (1/2) (2.5) = 1.25 inches

π = 3.14

Given formula

Circumference = 2πr

Substitute values into the formula

Circumference = 2 · (3.14) · (1.25)

Simplify by multiplication

Circumference = (2.5) · (2.14)

Circumference = [tex]\boxed {7.85 inches}[/tex]

Hope this helps!! :)

Please let me know if you have any questions

Step-by-step explanation:

Using the formulas

C=2πr

d=2r

Solving forC

C=πd=π·2.5≈7.85398in

Answer:

1008 inches

Step-by-step explanation:

Answer:

Concept:

Here, we need to know the idea of the segment addition postulate.

The Segment Addition Postulate states that given 2 points A and C, a third point B lies on the line segment AC if and only if the distances between the points satisfy the equation AB + BC = AC.

If you are still confused, you may tell me or refer to the attachment below for a graphical explanation.

Solve:

Question 22. If AC = 16, what is x?

Given information

AC = 16

AB = x + 7

BC = 2x

Given expression deducted from the segment addition postulate

AB + BC = AC

Substitute values into the expression

x + 7 + 2x = 16

Combine like terms

x + 2x + 7 = 16

3x + 7 = 16

Subtract 7 on both sides

3x + 7 - 7 = 16 - 7

3x = 9

Divide 3 on both sides

3x / 3 = 9 / 3

[tex]\boxed {x=3}[/tex]

Question 23. What is AB?

Given information

x = 3

Given expression deducted from the segment addition postulate

AB = x + 7

Substitute values into the expression

AB = (3) + 7

[tex]\boxed {AB=10}[/tex]

Question 24. What is BD?

Given information

BC = 2x

CD = 3x - 1

x = 3

Given expression deducted from the segment addition postulate

BD = BC + CD

Substitute values into the expression

BD = 2x + 3x - 1

BD = 2(3) + 3(3) - 1

BD = 6 + 9 - 1

BD = 15 - 1

[tex]\boxed {BD=14}[/tex]

Question 25. What is CE?

Given information

CD = 3x - 1

DE = 2x + 3

x = 3

Given expression deducted from the segment addition postulate

CE = CD + DE

Substitute values into the expression

CE = 3x - 1 + 2x + 3

CE = 3(3) - 1 + 2(3) + 3

CE = 9 - 1 + 6 + 3

CE = 8 + 6 + 3

CE = 14 + 3

[tex]\boxed {CE=17}[/tex]

Hope this helps!! :)

Please let me know if you have any questions

Answer:

Answer 7.36r + 0.3

Step-by-step explanation:

0.6 (0.6r + 0.5) + 7r

0.6*0.6r = 0.36r

0.6 * 0.5 = 0.3

0.36r + 0.3 + 7r

7.36r + 0.3

Answer:

A. 256

Step-by-step explanation:

4×4×4×4=256

I hope this helps!

pls ❤ and mark brainliest pls!

answer : 1024

100% correct ;)

Answer:

[tex]12w+24[/tex]

Step-by-step explanation:

[tex]9w−3(−w−8)[/tex]

[tex]9w+(−3)(−w)+(−3)(−8)[/tex]

[tex]9w+3w+24[/tex]

[tex](9w+3w)+(24)[/tex]

[tex]12w+24[/tex]

In the simplest form we can write the expression as - 12(w + 2).

We have the following expression -

9w - 3(- w - 8)

We have to write it in simplest form.

Expanding we get -

Δ = x(x - β) - α(x - β)

Δ = [tex]x^{2}[/tex] - βx - αx + αβ

According to the question, we have -

9w - 3(- w - 8)

Simplifying it, we get -

9w + 3(w + 8)

9w + 3w + 24

12w + 24

12(w + 2)

Hence, in the simplest form we can write the expression as - 12(w + 2).

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Answer: -5 i guess i might b wrong i dont know -5

Step-by-step explanation:

Step-by-step explanation:

[tex]9.62 - 3[/tex]

[tex] = 6.62[/tex]

•♧•♧•♧•♧•♧•♧•

[tex]2.57 + 7.706[/tex]

[tex] = 10.276[/tex]

•◇•◇•◇•◇•◇•◇•

[tex]15 - 6.108[/tex]

[tex] = 9.892[/tex]

Answer:

x = -12  or  x = 16

Step-by-step explanation:

| x - 2 | - 6 =8  

           +6    +6

------------------------

| x - 2 | = 14

---> we get x = -14

---> we get  x = 14

so, x = -12, or, x = 16

Answer:

Step-by-step explanation:

The area of the triangle is

B*h/2

Where B=x+5 and h=x-2 so if we substitute

(x+5)*(x-2)/2 =

(x^2 +3*x -10)/2=

x^2/2 + 3/2 *x -5