Find the constant of variation k for the inverse variation. Then write an equation
for the inverse variation.
y=2.5 when x = 9

Answers

Answer 1

Answer:

k = 22.5

xy= 22.5

Step-by-step explanation:


Related Questions

The width of a rectangular room is 60% of its length. The length of the room is 10 feet. What is the area of the room?
The area of the room is blank square feet.

Answers

Answer:

60ft^2

Step-by-step explanation:

60% of 10 is 6 and LxW is 10x6 so the area is 60 feet

Find the quotient.

1. 48÷3=
.

2. In the expression, 96 divided by 8 = a , the quotient a =
.

3. Divide 12 lizards into 6 equal groups. How many lizards are in each group?
There are
lizards in each group.

Answers

Answer:

48÷3=16

Step-by-step explanation:

In the expression, 96 divided by 8 = a , the quotient a =12

. Divide 12 lizards into 6 equal groups. How many lizards are in each group?

There are2

lizards in each group.

Answer:

1.    16

2.   6

3.    2

Step-by-step explanation:

Look at the pic in the corner it’s math

Answers

Answer:

The third one

Step-by-step explanation:

Its because we need to find the number that it has grown.

so we add the number that it grew to the size it was before.

Answer: 1.85 + x = 5.30

Step-by-step explanation: If we know that Ethan planted a tree that was 1.85 meters tall from the start and several years later it's 5.30 meters tall, we know that something must have been added to the 1.85 in order to get 5.30 meters tall. Since we don't know what that value is, we can use x.

X is an example of a variable. A variable is just a letter that represents any number so in this case, it represents how much the tree has grown over a time period of several years.

So we can write this as 1.85 + x = 1.30.

Change these times to the 12-hour clock.
07:10
17:30

Answers

07:10 = 7:10 AM
17:30 = 5:30 PM

Answer:

7:10 am

5:30 pm

What is the area of the triangular part of the flag below

Answers

The answer is 492 hope it helps

SDRTYUK243567Iaqwertyh.

Answers

Answer

B, i think

Step-by-step explanation:

If 50% of an item is 22.00 what is the original price ?

Answers

Answer:

$44

Step-by-step explanation:

Answer:

44

Step-by-step explanation:

6% of it is 27
I need help. Someone please give me a explanation of how to do this.

Answers

Answer:

You take 6% of a number and the resulting number is 27.

To do this you need to change the percent into a fraction.

6% = 6/100

This is the number you need to multiply to the number you need to find, A.

6/100 A = 27

Solve for x

6 A = 27x100

A= 2700/6

A = 450

Check your answer:

6/100 (A) = 27

6/100 (450) = 27

(6x450) /100 = 27

2700 / 100 = 27

27 = 27

Step-by-step explanation:

line q goes through points (-3,3) and (-5,-3). At what point does line q cross the y-axis

Answers

Answer:

(0,12)

Step-by-step explanation:

Answer:

-3

Step-by-step explanation:

Which expression is a cube root of -2?
A. Cubed root of 2 (cos(90°) + isin(90°))
B. Cubed root of 2 (cos(120°) + isin(120°))
C.cubed root of 2 (cos(60°) + isin(60°)).
D. Cubed root of 2 (cos(260°) + isin(260°))

Answers

If you raise a cube root of -2 to the third power, the resulting number will have a congruent argument. We have

-2 = 2(cos 180º + i sin 180º)

Pick a number from the 4 given options, and raise it to the third power using DeMoivre's theorem. For example,

[tex]\left(\sqrt[3]{2}\left(\cos90^\circ+i\sin90^\circ\right)\right)^3=2\left(\cos(3\cdot90^\circ)+i\sin(3\cdot90^\circ)\right)=2(\cos270^\circ+i\sin270^\circ)=-2i[/tex]

so the first option is not a cube root of -2 because the argument 270º is not congruent to 180º. Similarly, the second and fourth options are also not cube roots of -2.

On the other hand,

[tex]\left(\sqrt[3]{2}(\cos60^\circ+i\sin60^\circ)\right)^3=2(\cos180^\circ+i\sin180^\circ)[/tex]

so the third option is a cube root of -2.

Part A: The area of a square is (4a2 − 20a + 25) square units. Determine the length of each side of the square by factoring the area expression completely. Show your work. (5 points) Part B: The area of a rectangle is (9a2 − 16b2) square units. Determine the dimensions of the rectangle by factoring the area expression completely. Show your work. (5 points)

Answers

Answer:

(2a -5)²(3a -4b)(3a +4b)

Step-by-step explanation:

There are a couple of factored forms that are used here:

  (a +b)² = a² +2ab +b² . . . . the sign of "2ab" will match the sign of b

  a² -b² = (a -b)(a +b)

__

Part A:

 Since this trinomial is known to be a perfect square, you can find the binomial(s) by looking at the roots of the first and last terms.

  √(4a²) = 2a

  √25 = 5

The factoring is ...

  4a² -20a +25 = (2a -5)²

__

Part B:

This is the difference of perfect squares, so the terms of the factors can be found as in the previous part.

  √(9a²) = 3a

  √(16b²) = 4b

Using the above factored form, we have ...

  9a² -16b² = (3a -4b)(3a +4b)

The top of the gumball machine on the left is a sphere with a diameter of 20 inches. When the machine is full it can hold 3500 gumballs, leaving 40% of the space in the machine empty. What is the approximate radius of each gumball? Round to the nearest hundredth and use 3.14 for Pi

Answers

Answer:

0.555 in

Step-by-step explanation:

The first thing we must do is calculate the volume of the machine, the volume of a wait is:

v = (4/3) * pi * (r ^ 3)

we know that the diameter is twice the radius, therefore:

r = d / 2 = 20/2

r = 10, replacing:

v = (4/3) * 3.14 * (10 ^ 3)

v = 4186.66 in ^ 3

Now, we know that by leaving 40% of space in the machine there are 3,500 chewing gums, therefore, 60% of that volume is chewing gum.

4186.66 * 0.6 = 2512

to calculate the volume of a chewing gum:

3500 * v = 2512

v = 2512/3500

v = 0.7177 in ^ 2 is the volume of a single chewing gum

if we solve the sphere formula for r, we are left with:

r ^ 3 = v * (3/4) / pi

replacing

r ^ 3 = 0.7177 * (3/4) /3.14

r ^ 3 = 0.1714

r = 0.1714 ^ (1/3)

r = 0.555

the radius of each gum is 0.555 in

Jackson at the collectibles fair. He has exactly $8 and will purchase a collectible from a vendor for $5. What percent of his money will Jackson spend on the purchase?

Answers

Answer:

62.5%

Step-by-step explanation:

Total money with Jackson = $8

Money spent for buying collectible  = $5

__________________________________________________

Percentage of any number A with respect to another number B is calculated by multiplying fraction A/B with 100

Numerically A as percentage of b will be expressed as (A/B)100 %

It means that if there are 100 items instead of B item then what will be the value of A.

______________________________________________________

Percentage of money spent = (Money spent for buying collectible /Total money with Jackson)

Substituting the total money and money spent for buying collectible

we have

Percentage of money spent  = 5/8 * 100 = 0.625*100 = 62.5%

Thus, 62.5% percent of his money will Jackson spend on the purchase of collectible.

What is the distance between the points (2, 1) and (14, 6) on a coordinate
plane?
A. 14 units
B. 13 units
C. 12 units
D. 5 units

Answers

Answer:   13 units

Step-by-step explanation:

If cos omega =
3
5
find tan omega

Answers

Answer:

mmm 30

Step-by-step explanation:

Help asap pleaseee!
A climber is on a hike. After 2 hours, he is at an altitude of 400 feet. After 6 hours, he is at an altitude of 700 feet. What is the average rate of change?

200 ft per hour


105 ft per hour


300 ft per hour


75 ft per hour

Answers

Answer:

75

Step-by-step explanation:

700-400=300

6-2=4

300/4=75

Answer:

75 ft per hour.

Step-by-step explanation:

because

A pair of jeans is on sale for 25% off the original price of $75. What is the
new price?​

Answers

Answer:

$56.25 is the new price

Step-by-step explanation:

75 - 18.75 = 56.25 dollars

Answer:

56.25

Step-by-step explanation:

75*.25=18.75

75-18.75=56.25

PLEASE HELP! The density of atmosphere (measured in kilograms/meter) on a certain planet is found to decrease as altitude increases (as measured from

the planet's surface). What type of relationship exists between the altitude and the atmospheric density, and what would the atmospheric

density be at an altitude of 1.291 kilometers?

Answers

Answer:

The relationship that exist between the altitude and the atmospheric density is an inverse relationship.

[tex]D = \frac{k}{1291} kg/m^3[/tex]

Step-by-step explanation:

since the density of the atmosphere decreases as the altitude increases, the relationship that exist between the altitude and the atmospheric density is an inverse relationship. This can be represented by:

[tex]D = \frac{k}{H}[/tex], where k is the constant, H is the altitude in meters and D is the atmospheric density in kg/m.³

When the altitude is 1.291 km, i.e H = 1.291 km = 1291 m,the atmospheric density D is:

[tex]D = \frac{k}{1291} kg/m^3[/tex]

PLEASE HELP ME!!!!!!!! I CANT GET IT! PLEASE HELP QUICKLY!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

The length of a rectangle is four times its width. The width of this rectangle is 9 inches less than its length. Find the length and the width of the rectangle.

Answers

You answer would be 27, if I did my maths correct.

You get 27 by doing:

9*4=36

36-9=27

Correct me if I am wrong thank you!

Answer:

At first I got 39 but then I redid it and got 27!

HELP ASAP 100 POINTS!!!!


You start with $1000 and every day you will receive the previous day’s total plus an additional $1000 a day for 30 days. How much money will you have after 30 days?




Answers

Answer: After 30 days, you would have $30,000

Step-by-step explanation: The question clearly gives us a progression which is best described as an arithmetic progression, that is, every term (or every day's amount of money) is determined by adding a fixed amount to what you already have from the previous term (or previous day).

In order to determine the amount earned after a given number of days, we will begin by determining a formula that can be suited for calculating all through any given number of days.

The first amount is fixed already, and we shall call that a. So a equals 1000. The amount added to that is 1000, so for day 2, you shall have 1000 plus 1000 which gives you 2000. The amount added we shall call d, so for day one you earned 1000, for day two you earned 1000 plus 1000. For day three you will earn 2000 plus 1000, which gives you 3000.

Having taken day one as a, and each successive 1000 as d, observe the following trend;

Day 1 = a

Day 2 = a + d

Day 3 = a + (3 - 1)d  which gives you a + 2d

Since the first day has been represented by a, the third day shall be less by one common difference which is d. Hence the formula for day n can be expressed as follows;

Day ₙ = a + (n - 1)d

Where n is the number of days, the nth day shall be less by 1 since the term already includes day 1, which is the first term, hence every term shall always be less by 1. In other words, the 30th day (or 30th term) shall be less by 1 shown as follows

Day 30 = 1000 + (30 - 1) 1000

Day 30 = 1000 + (29 x 1000)

Day 30 = 1000 + 29000

Day 30 = 30000

Answer:

You would get 1000 everyday because you would get the previous day, you would have 30,000

Step-by-step explanation:

Select the correct answer.
Which statement describes the situation shown in the graph?

Answers

Answer:

there is no photo??where are the graphs??

The amount of tomato sauce in an 8 oz. can of tomato sauce has a normal distribution with a mean of
8.15 oz. and a standard deviation of 0.07 oz. Which of the following is the 2-score for 7.90 oz.?

Answers

Answer:

The z-score for 7.90 oz. is -3.57

Step-by-step explanation:

Data

mean: 8.15 oz.standard deviation, sd: 0.07 oz.value of interest, x = 7.90 oz.

From definition of z-score:

Z = (x - mean)/sd

Replacing with data:

Z = (7.9 - 8.15)/0.07

Z = -3.57

What value ofj makes this addition sentence true? (Hint: Use properties of addition)
64+ (98 +28) = (j +64) + 98

Answers

J = 28

64+ (98 +28) = (j +64) + 98
64+126 = (j+64)+98
190 = (j+64)+98
-98 -98
92 = j+64
-64 -64
28 = j

1. Which money market account will earn the most interest?
(33 puntos)
$500 principal at 0.5% monthly for 10 years.
$200 principal at 1% monthly for 20 years.
$1,000 principal at 3% monthly for 2 years.
$100 principal at 8% monthly for 1 years.

Answers

The one with $1,000 principal

Write a problem that could be modeled with y = 200(0.9)^x

Answers

Answer:

Step-by-step explanation:

A new TV sells for $200. Every year, the TV loses 10% of the initial value.

Find the area of a right triangle with a base of 38 cm and height of 26 cm.
A) 128 cm2
B) 247 cm2
C) 324 cm2
D) 494 cm2

Answers

Answer:

494cm2

Step-by-step explanation:

Área = (base × height)/2

Área=(38×26)/2=988/2=494cm²

Answer:
D.) 494 cm2

Step by Step:
38x26=988
988/2=494

I have no access at 6 pm

Answers

Answer:

A and E

Step-by-step explanation:

I would plug in N as any number just to see if they are equal. I did 5.

A. 28(5)-35= -105

B. 28(5-35)= -840

C. 28(5-7)= -56

D. 7(4*5-35)= -105

E. 7(4*5-5)=  105

I need help with this please, I’m not sure if I should use the a^2+b^2=c^2

Answers

Answer:

yes, use the Pythagorean theorem

Step-by-step explanation:

it would be 6^2+15^2=c^2

Rewrite using only positive exponents.​

Answers

I’m pretty sure the answer is A

What are m<1 and m<2?

Answers

Answer:

m<2 is 66 and m<1 is 114

Step-by-step explanation:

add the given angles together, that is the outaide angle. then subtract that from 180 and you get angle 2

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