Find the variation and an equation of variation where y varies inversely as x and y= 0.4 when x= 0.8

We can simply solve the equations by just dividing by the coefficient value of x. For example, we would divide both sides of the first equation by 8 to make the equation into x = 2/24 = 1/12

8x=2/3 --> x=1/12
1.5=2x --> x=0.75
5x=2/7 --> x= 2/35
1/4x=5 --> x=20
1/5=2/3x --> 3/5=2x --> x=3/10

Explaination :

The given equation,

Lets start solving it..!!

★ Multiplying -6 by (n -2),

[tex] \implies \: \sf{5n \: - 6 \times (n - 2) \: = \: 19} [/tex]

[tex] \implies \: \sf{5n \: - 6n + 12 \: = \: 19} [/tex]

★ Subtracting 5n from 6n,

[tex]\implies \: \sf{ - n + 12 \: = \: 19} [/tex]

★ Transposing 12 from L.H.S. to R.H.S. it would be in negative,

[tex]\implies \: \sf{ - n \: = \: 19 - 12} [/tex]

★ On subtracting 12 from 19 we gets,

[tex] \implies \: \sf{ - n \: = \: 7} [/tex]

★ Now,

[tex] \implies \: \red{\bf{ n \: = \: - 7} }[/tex]

Therefore,

Step-by-step explanation:

z = 180° - 113° = 67°

sum of angles of quadrilateral shape = 360°

y = 360° - ( 67° + 81° + 106° ) = 106°

Hey there!

2 - 4 * 6

= 2 - 24

= -22

Option A.
7 * (5 - 2) + 6

= 7 * 3 + 6

= 21 + 6

= 27

Option A. is incorrect

Option B.
5 + 2 * 7 + 6

= 5 + 14 + 6

= 19 + 6

= 25

Option B. is also incorrect

Option C.
7 * (5 + 2) - 6
= 7 * 7 - 6

= 49 - 6

= 43

Option C. is also incorrect

Option D.

6 - 2 + (7 * 5)

= 6 - 2 + 35

= 4 + 35

= 39

Thus, it seems like NONE of the ABOVE is correct

Good luck on your assignment & enjoy your day!

~Amphitrite1040:)

Answer:

4(−10−9x)

Step-by-step explanation:

its a tringale

Step-by-step explanation:

[tex]~~~~~\dfrac 34n = 9\\\\\\\implies n = \dfrac{9 \times 4} 3\\\\\\\implies n = \dfrac{36}3\\\\\\\implies n = 12[/tex]

Answer:

Step-by-step explanation:

A. False. The probability of drawing a green marble twice is even smaller (It may be true though depending on what the question is asking, if it is asking the chance of drawing a green marble second is the same as the 1st chance, then yes it is True.

B.False

C. False

D.True, 1/3*1/3 (Simplified version of 6/18*6/18) is 1/9

E. False (Although this may be true, again depending on the type of question)

F. False

Answer:

23040 bats

Step-by-step explanation:

Let N(t) be the number of bats at time

We know that exponential function

[tex]y = ab[/tex]

According to question

[tex]N(t) = ab^{2}[/tex]

Where t (in years)

Substitute t=2 and N(2)=180

[tex]180 = ab^{2}[/tex]

Substitute t=5 and N(5)=1440

[tex]1440 = ab^{5}[/tex]

Equation (1) divided by equation (2)

[tex]\frac{180}{1440} = \frac{ab^{2} }{ab^{5}} = \frac{1}{b\frac{5-2}{}}[/tex]

By using the property

Substitute the values of b in equation (1)

Substitute t=9

Hence, after 9 years the expected bats in the colony=23040 bats

Answer:

98304 bacteria

Step-by-step explanation:

3x2^1 = 6

3x2^2 = 12

3x2^3 = 24

3x2^15 = 98304

Answer:

[tex]\frac{-3}{-26}[/tex]

Step-by-step explanation:

[tex]\frac{-x-8}{x^{2}-4x-21}[/tex] is what you are looking for.

So with x = -5, it would look like this

[tex]\frac{-(-5)-8}{-5^{2}-(-5)4-21}[/tex]

Simple math now.

-(-5) is 5

[tex]-5^{2} = -25[/tex]

-5 * -4 = 20.

So it should be [tex]\frac{5-8}{-25+20-21}[/tex]

5-8=-3

-25+20-21 = -26

So the answer is[tex]\frac{-3}{-26}[/tex]

Calculate the area of the room and then subtract the area of the tiled floor.

area of room = 11 3/4 x 5 = 58 3/4

Area of tiled floor = 7 1/2 x 3 1/4 = 24 3/8

area of carpet = 58 3/4 - 24 3/8 = 34 3/8

answer: 34 3/8

Answer:

The distance around the outside of the track is 4183.58m².

Step-by-step explanation:

The area of running track that goes around the field is 9.76m

To proof :

Formula -

(Area of rectangle = length × breadth)

(Area of running track = outside area - inside area)

First case (outside),

length = 73 +2× 9.76

= 92.52m

Breadth = 84.39 m

radius of outside semi circle,

= 46.26m

outside area = area of rectangle + 2 × area of the semi-circle

= 92.52 x 84.39 + 3.14 x 46.26 × 46 × 26

= 7807.76+6719.56

Second case,

radius of the semi-circle,

=36.5m

inside area = area of rectangle + 2x area of the semi-circle

=73x 84.39+ 3.14x 36.5×36.5

= 6160.47 +4183.27

= 10343.74m²

Now,

Area of running track = 14527.32 m²- 10343.74m²

= 4183.58m²

The distance around the outside of track is 4183.58m².

Answer:

486

Step-by-step explanation:

Answer:

30

Step-by-step explanation:

Evaluating an expression when given a value of an unknown means to substitute the unknown value with a certain value given and simplify fully:

27 + (3)  

Simplify by doing simple addition :

27 + 3 = 30

Therefore our answer is 30.

Hope this helped and brainliest please.

Replace the variable x with 3 in the expression.

27 + 3

Remove parentheses.

27 + 3

Add 27 and 3.

30

An equation is formed of two equal expressions. The value of x is the equation ax-b=c is (c+b)/(a).

An equation is formed when two equal expressions are equated together with the help of an equal sign '='.

The solution of x in the given equation can be written as,

[tex]ax - b = c\\\\ax = c+b\\\\x = \dfrac{c+b}{a}[/tex]

Hence, the value of x is the equation ax-b=c is (c+b)/(a).

Learn more about Equation:

https://brainly.com/question/2263981

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Answer:

[tex](x - 2) {}^{2} + (y + 5) {}^{2} = 16[/tex]

Step-by-step explanation:

Equation of circle is:

[tex](x - h) {}^{2} + (y - k) {}^{2} = r {}^{2} \\ [/tex]

Here (h,k) are the coordinates of center and r is radius

(h,k) =(2,-5)

r. = 4

plug in the values of h,k and r

[tex](x - 2) {}^{2} + (y - ( - 5)) {}^{2} = 4 {}^{2} \\ (x - 2) {}^{2} + (y + 5) {}^{2} = 16[/tex]

Answer:

[tex](x-2)^2+(y+5)^2=16[/tex]

Step-by-step explanation:

Equation of a circle

[tex](x-a)^2+(y-b)^2=r^2[/tex]

(where (a, b) is the center and r is the radius)

Given:

Substitute the given values into the equation:

[tex]\implies (x-2)^2+(y-(-5))^2=4^2[/tex]

[tex]\implies (x-2)^2+(y+5)^2=16[/tex]

Answer:

60^1/2 = 60^0.5 = sqrt 60 = 7.75

good luck :))) <3

Answer:

B. 5/12

Explanation:

Total Letters mixed: {S, E, M, I, T, R, O, P, I, C, A, L} = 12 Letters

There are 5 vowels and they are: 'a', 'e', 'i', ' o', and 'u'

In here the vowels are: E, I, O, I, A = 5 vowels here

So,

probability: number of favourable outcomes/total number of outcomes

probability: 5/12

Usando la relación entre la velocidad, la distancia y el tiempo, se encuentra que su velocidad fue de 10 m/min.

Velocidad es distancia dividida por el tiempo, o sea:

[tex]v = \frac{d}{t}[/tex]

En este problema, hay que:

Por eso:

v = 100 m/10 min = 10 m/min.

Su velocidad fue de 10 m/min.

Puede-se aprender más a cerca de la relación entre la velocidad, la distancia y el tiempo en https://brainly.com/question/24558377

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Answer:

-1/2

Step-by-step explanation:

Use the two points shown.

slope = rise/run

Start at teh left point.

Go down 2 units. That is a rise of -2.

Now go right 4 units. That is a run of 4.

slope = rise/run = -2/4 = -1/2

Answer:

Austin drank 2.5 quarts.

Step-by-step explanation:

There are 2 pints in a quart.

To get from pints to quarts, divide by 2

5/2 = 10

2.5 quarts

mark brainliest please!

Answer:

one point and one plane

Step-by-step explanation:

Any two line if they intersects... they will intersects in one point..

And to have an intersection they always need to be on one plan..

Answer:

  97.2 m³

Step-by-step explanation:

The volume of a triangular prism is half the volume of a rectangular prism with the same length, width, and height.

  V = 1/2LWH

  V = 1/2(9 m)(7.2 m)(3 m) = 97.2 m³

_____

Additional comment

The relation we used above comes from the more general formula for the volume of a prism:

  V = Bh

where B is the area of the base.

You know a rectangular base will have an area of ...

  A = bh

and a triangle with the same base and height will have an area of ...

  A = 1/2bh

That is, the base area of a triangle is half that of a rectangle with the same dimensions. When we use this fact in the volume formula, we find the volume of a triangular prism is 1/2 that of a rectangular prism with the same length, width, and height.