If x and y vary inversely and x = -9 when y = -30, what is the constant of variation

Answers

Answer 1

Answer:

270

Step-by-step explanation:

 x = k/y     This is an inverse relationship with k = constant of proportion (or variation)

-9 = k/(-30)

k = -9  *  -30 = 270

Answer 2

Answer:

Constant of variation  = 270.

Step-by-step explanation:

y = k/x

-30 = k / -9

k = -30 * -9

k = 270


Related Questions

Mr castle shares out 32 marbles between emily and zak in the ratio of 3:1. how much marbles does each child get?

Answers

Answer:

Emily=24 marbles Zak=8 marbles

Step-by-step explanation:

sum of ratio= 3+1=4

Emily: Zak= 3:1

no. of marbles for Emily= [tex]\frac{no. of ratio}{sum of ratio}[/tex]×total no. of marbles

                                      = [tex]\frac{3}{4}[/tex]×32

                                      =24 marbles

No. of marbles for Zak= [tex]\frac{1}{4}[/tex]×32

                                    =8 marbles

CAN SOMEONE HELP ME PLS

Answers

Answer:

9.2

Step-by-step explanation:

Find the coordinates and plug em into the equation. (-5,5) (1,-2)

Square root 85 is 9.2.

Answer:

9.2 (if rounded to the nearest tenth)

What are the characteristics of the function f(x) = 2(x-4)5?
O A. It is a reflection and a translation to the right of the parent
function.
O B. Both ends of the graph of the function go up.
I C. The left end of the graph of the function goes down, and the right
end goes up.
O D. It has 4 zeros and at most 5 relative maximums or minimums.
E. It has 5 zeros and at most 4 relative maximums or minimums.
OF. It is a vertical stretch and a translation to the right of the parent
function.

Answers

Answer:

Step-by-step explanation:

Answer: Options F, E, C.

Given : function f(x)=2(x-4)^5.

To find : What are the characteristics of the function .

Solution : We have given that f(x)=2(x - 4)^5.

By the End Point behavior : if the degree is even and leading coefficient is odd of polynomial of function then left end of graph goes down and right goes up.

Since , Option F is correct.

It has degree 5 therefore, function has 5 zeros and atmost 4 maximua or minimum.

Option E is also correct.

By transformation rule it is vertical stretch and shift to right (B )

Therefore, Option F , E , C are characteristics of the function .

How do you solve pythagorean theorem??
Full Explanation
Will Mark Brainlist

Answers

Pythagoras theorem is a formula that helps us determine the missing side of a triangle, with the measure of two sides, given.

The Pythagoras theorem formula is expressed as:

[tex](\small\text{Hypotenuse})^{2} = (\small\text{side}_{1} )^{2} + (\small\text{side}_{2} )^{2}[/tex]

Now, let us take an example to understand the concept better.

Example:

A triangle with longest side given as 15 centimeters. The base of the triangle has a length of 9 centimeters. What is the measure of the height?

Solution:

We are given the following:

Longest side (hypotenuse of the triangle) = 15 cm Base of the triangle (Not the longest side) = 9 cm

When we plug the hypotenuse and the base, in the formula, we get;

⇒ 15² = 9² + (side₂)²

Subtract 9² on both sides of the equation to isolate (side₂)².

⇒ 15² = 9² + (side₂)²⇒ 15² - 9² = 9² + (side₂)² - 9²

We can use the rule [a² - b² = (a - b)(a + b)] to simplify the L.H.S

⇒ (15 - 9)(15 + 9) = (side₂)²⇒ (6)(24) = (side₂)²⇒ 144 = (side₂)²

Now, take square root on both sides of the equation to determine the measure of the missing side (height of triangle).

⇒ √144 = √(side₂)²⇒ 12 = side₂

Therefore, the measure of the height is 12 centimeters.

Learn more about Pythagoras theorem: https://brainly.com/question/343682

What is the value of x?

Enter your answer in the box.

x = ?

Answers

Answer:

x = 26

Step-by-step explanation:

Answer:

26 degrees

Step-by-step explanation:

The small square symbol on the upper left of the line represents a 90-degree angle.

90 - 64 = 26 degrees

What is the slope of the line represented by the equation f(x)=3/2x- 4

Answers

Answer:

3/2

Step-by-step explanation:

it's the slope because it's before x.

Select the graph of the equation below.

y= 3 over 2 x²+4x-2

Answers

Their fore it will be

In a recent survey, 8 people were each asked the number of times they have been on an airplane. Here is a list of the responses.
9, 21, 7, 11, 13, 21, 5, 14
Find the range of the data set.


Answers

Answer: 16

Explanation: Range is the difference between the highest and lowest number.
21 - 5 = 16.

Answer: The range of the data set is: " 16 " .

______

Explanation:
The range is calculated by subtracting the lowest value in the given data set from the highest value in the data set.
______

Given: The data set:   9, 21, 7, 11, 13, 21, 5, 14 ;

Let us organize these numbers from lowest value to highest value:
  " 5, 7, 9, 11, 13, 14, 21, 21 " ;
Note:  This is done by inspection.  Note that all eight (8) values are accounted for.
    So, we subtract the lowest value in our given data set:  "5" ;

from the highest value in our given data set:  "21" ;  to get the "range":

            →  " 21 5 = 16 " ;

______
The range is:
 " 16 " .
______
Hope this is helpful!  Best wishes!

The rectangular room shown 20 feet long, 48 feet wide, and 10 feet tall. Use the Pythagorean Theorem to find the distance from A to C and the distance from A to B. Round to the nearest tenth, if necessary.

(Only really need A to B though)​

Answers

A to B = 52
Using Pythagorean theory
10^2 + 52^2 = c^2 (hypotenuse)
2704 = c^2
52 = c (A to B)

Which transformation is not a rigid motion?
A. Rotating a triangle around the origin.
B. Reflecting a triangle over the yaxis.
C. Translating a triangle down.
D. Dilating a triangle.

Answers

Answer:

B. po

Step-by-step explanation:

reflection a triangle over the yaxis.

Which expression is equivalent to 50E(n(41+3))?
n=1

Answers

Answer:

its D

Step-by-step explanation:

equivalent of 50En-1+n(4n+3))is4{50(50+1)(2×60+1)+3{50(51)_2}

misleading graph. help me how to make brand A popular than brand B

Answers

Answer:

  use a scale that starts at 0

Step-by-step explanation:

The graph is misleading because the vertical scale does not start at zero.

__

To better represent the brand relationship, the vertical axis should start at zero. The amounts differ by less than 1/2%, so the bars on that scale would appear to have virtually identical heights.


John bought 4 pounds of hot dogs for his party.
How many ounces of hot dogs did John buy?

Answers

Answer:

64 Ounces

Step-by-step explanation:

64 Ounces of hot dogs

Answer:

64 oz

Step-by-step explanation:

1 lb = 16 oz

4 × 1 lb = 4 × 16 oz = 64 oz

It’s confusing on how they worded it to me

Answers

You're looking for the equation of the line through the two yellow points, whose coordinates are (4, 0) and (8, 9).

Compute the slope:

(9 - 0) / (8 - 4) = 9/4

Using the point-slope formula, the equation of the line is

y - 0 = 9/4 (x - 4)

or

y = 9x/4 - 9

Make a box and whisker plot of the data. 20,23,28,14,13,24,18,11

Answers

Population size: 8

Median: 19

Minimum: 11

Maximum: 28

First quartile: 13.25

Third quartile: 23.75

Interquartile Range: 10.5

Outliers: none

- Attached image is the box and whisker plot

factor the expression using the gcf 25+50

Answers

Answer:

25(1+2)

Step-by-step explanation:

25 goes into 25 once and 50 twice.

A
B
21
48°
6x-24
D
[?] << <[ ]
11
C

Answers

The shape in the figure is a composite shape with two triangles, and the inequality is 4 < x < 12

How to determine the range of value of x?

In the given figure, the side lengths AB and AD are equivalent.

This means that, we have the following angle relationship:

CAD < CAB

Substitute known values

6x - 24 < 48

Add 24 to both sides

6x < 72

Divide both sides by 6

x < 12

Also, we have the following angle relationship:

CAD > 0

Substitute known values

6x - 24 > 0

Add 24 to both sides

6x < 24

Divide both sides by 6

x < 4

This means that:

x < 4 and x < 12

Combine both inequalities

4 < x < 12

Hence, the inequality is 4 < x < 12

Read more about triangles at:

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NEED HELP ASAP!!! 50 POINTS Match the following items by evaluating the expression for x = -6.
x^-2
x^-1
x^0
x^1
x^2

Answers

Answer:

x^-2 = 1/36

x^-1 = 1/6

x^0 = 1

x^1 = -6

x^2 = 36

#1

(-6)^-21/(-6)²1/36

#2

(-6)^(-1)1/(-6)

#3

x^0(-6)⁰1

#4

(-6)¹(-6)

#5

(-6)²36

An animal shelter had 45 animals adopted over one week. The ratio of dogs to ferrets was 5:1. The ratio of cats to dogs was 9:5.

Select the diagrams that would represent the types of animals adopted.

How many of each type of animals were adopted?

Answers

There are total 15 dogs, 27 cats, and 3 ferrets were adopted if the ratio of dogs to ferrets was 5:1. The ratio of cats to dogs was 9:5.

What is the ratio?

It is described as the comparison of two quantities to determine how many times one obtains the other. The proportion can be expressed as a fraction or as a sign: between two integers.

We have:

An animal shelter had 45 animals adopted over one week. The ratio of dogs to ferrets was 5:1. The ratio of cats to dogs was 9:5.

Combine ratio dogs:ferrets:cats = 5:1:9

Let's suppose the number of ferrets is x then:

5x + x + 9x = 45

15x = 45

x = 3

Ferrets x = 3

Dogs = 5x = 5(3) = 15

Cats = 9x = 9(3) = 27

Thus, there are total 15 dogs, 27 cats, and 3 ferrets were adopted if the ratio of dogs to ferrets was 5:1. The ratio of cats to dogs was 9:5.

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Juan can type 27 words in 9 minutes.
What is his rate in words per minute?
words per minute?

Answers

Answer:

3 words per minute

Step-by-step explanation: First you divide 9 by 9 to get one then you divide 27 by nine to get 3 simple

Answer:

y=3

Step-by-step explanation:

27=y x 9

27/9= y x 9/9

3=y

3words x9minutes =27words in 9 minutes 3 words a minute.

I used y because x would look tacky next to another x

What is the length of the missing leg? if necessary, round to the nearest tenth.

Answers

don't know please clue question not written well

Find the volume for this figure. Use 3.14 for (pie)
A)1,656 mm
B) 1,092 mm
C) 1,250 mm
D) 1,800 mm

Answers

Answer:

the andswer there is D

Step-by-step explanation:

just think of it as a cylinder and a square

put both circular parts together and you have a cylinder with the diameter of 12 and a height of 7 and find the volume of that which is πr²h so π 6² 7

then the volume of your rectangular prism is the length times width times height so 12 by 12 by 7

Thomas found a box that had a volume of 150 in3. He measured the height of the box to be 2 inches and the length was 10 inches more than the width. What is the width of the box?
7 inches
11 inches
15 inches
5 inches

Please Help!

Answers

The width of the box is 5 in if the volume of 150 in3. He measured the height of the box to be 2 inches, and the length was 10 inches more than the width.

What is a cuboid?

It is defined as the six-faced shape, a type of hexahedron in geometry.

It is a three-dimensional shape.

Volume of the box = l×w×h

150 = l×w×h

h = 2 in

l = 10+w

150 = (10+w)(w)(2)

150 = 2w(10+w)

After solving, we get:

w = 5 or w = -15

Width cannot be negative.

w = 5 in

Thus, the width of the box is 5 in if the volume of 150 in3. He measured the height of the box to be 2 inches, and the length was 10 inches more than the width.

Learn more about the cuboid here:

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NEED ASAP PLS HELP ILL MARK BRAINLIEST IF CORRECT
(06.02 MC)

A line is drawn on a scatter plot, as shown below:

Which statement best describes the line?

(A) It can be the line of best fit because it shows a positive linear association between x and y.
(B) It can be the line of best fit because it closely fits the data points.
(C) It cannot be the line of best fit because it does not pass through all the data points.
(D) It cannot be the line of best fit because it shows a negative linear association.

Answers

Answer:

B

Step-by-step explanation:

Which represents the inverse of the function f(x) =4x?

Answers

Let's see

Let y=f(x)

y=4x

Intechange x and y

x=4y

Find y

y=x/4

The inverse is y=x/4

Graphs attached

Answer:

[tex]\sf f^{-1}(x)=\dfrac{x}{4}[/tex]

Step-by-step explanation:

The inverse of a function is the reflection of the function in the line y = x

To find the inverse of a function:

Set the function to y:

⇒ y = 4x

Make x the subject:

[tex]\sf \implies x=\dfrac{y}{4}[/tex]

Change x to [tex]\sf f^{-1}(x)[/tex] and y to x:

[tex]\sf \implies f^{-1}(x)=\dfrac{x}{4}[/tex]

Help me with 2 please and thank you

Answers

Answer:

See below

Step-by-step explanation:

The terms that can be used to best describe the relationship between 60 degree angle and the angle labelled y degree is:

Vertically opposite angles.Equal angles.Angles equating to 60 degree.

Since vertically opposite angles are equal, y° = 60°.

[tex]\rule[225]{225}{2}[/tex]

Answer:

Vertical angles

Step-by-step explanation:

The 60° angle and the angle marked y° are vertical angles. Vertical angles are equal. They are formed by two lines crossing (intersecting lines) I like to think of them like a pair of scissors, opening and closing! The angles get bigger or smaller together. The angle marked x° and the unmarked angle are another pair of vertical angles.

In Lin's drawing, the scale is 5 inches = 8 feet, and the back wall of the lab measures
15 inches. Five computer workstations will be equally spaced along the entire
length of that wall. Each workstation measures 4 feet by 4 feet. How far apart are
the workstations in Lin's drawing? Explain.

Answers

Answer:

1 ft

Step-by-step explanation:

scale: 5 in. = 8 ft

Back wall scale measurement: 15 in.

Back wall real measurement: 15 in. × 8 ft / 5 in. = 24 ft

Each workstation measures 4 ft.

5 workstations measure 5 × 4 ft = 20 ft

24 ft - 20 ft = 4 ft

When you place 5 workstations, the outer two will be at the ends of the 24-ft wall. There will be 4 spaces between the workstations.

4 ft / 4 = 1 ft

Answer: 1 ft

Pls help me with them I will give brainilist

Answers

Answer:

All integers are rational numbers .

Step-by-step explanation:

please mark as branliest

What’s the circumference to this problem?

Answers

Answer:

The formula to get the circumference of a circle is [tex]C=2*\pi * r[/tex].  We can then input the value and we get that [tex]C=2*\pi*4[/tex] and as we solve it more the final answer that we get is [tex]C=25.133[/tex].

Hope this helps!  Let me know if you have any questions

if jane has 3 pars and take 3 pars how many pars would she had left

Answers

Answer:

0 pars

Step-by-step explanation:

3-3=0

...........
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