The variables x and y are inversely proportional, and y = 2 when x = 3. What is the value of y when x = 9?

Answers

Answer 1

Answer:

[tex] \huge \purple{ \boxed{ y = \frac{2}{3} }}[/tex]

Step-by-step explanation:

Since, the variables x and y are inversely proportional.

[tex] \therefore \: y \: \: \alpha \: \: \frac{1}{x} \\ \implies \: y = \frac{k}{x} \\ (k = constant) \\ \implies \: xy = k ...(1)\\ plug \: y = 2, \: \: x = 3 \: in \: equation \: (1) \\ we \: find \\ 2 \times 3 = k \\ k = 6 \\ plug \:k = 6 \: in \: equation \: (1) \\ xy = 6 \\ (this \: is \: the \: equation \: of \: variation) \\ when \: x = 9 \: \: y =? \\ \\ 9y = 6 \\ y = \frac{6}{9} \\ \huge \red{ \boxed{ y = \frac{2}{3} }}[/tex]


Related Questions

The distance between P and Q is

Answers

Answer:

5

Step-by-step explanation:

[tex] \sqrt{ {(9 - 6)}^{2} + {(6 - 2)}^{2} } = \\ \sqrt{ {3}^{2} + {4}^{2} } = \\ \sqrt{25} = \\ 5[/tex]


Two dice are tossed. Find the probability of getting the sum of the dice equal to 1.

Answers

Here's the Answer,

the given outcome is an impossible event, because the sum of numbers can't be less than 2 hence, sum equal to 1 isn't possible.

And we know, the probablity of an impossible event is 0.

In a class, 4/5 of the students have mathematical instruments. 1/4 of these students have lost their protractors. What fraction of students in the class has protractors?​

Answers

Answer:

[tex]\frac{11}{20}[/tex]

Step-by-step explanation:

[tex]\frac{4}{5} - \frac{1}{4}[/tex]          Subtract the students who don't have protractors from the students who have mathematical instruments.

[tex]\frac{11}{20}[/tex]

9514 1404 393

Answer:

  3/5

Step-by-step explanation:

We assume that every student with mathematical instruments who hasn't lost their protractor will have a protractor.

If 1/4 of the students with instruments lost their protractor, then the remaining 3/4 of students with instruments still have their protractors. The fraction of the class with protractors is ...

  (3/4)(4/5) = 3/5

3/5 of the students in the class have protractors.

Spencer is riding his bicycle 2 7/10 miles to the park. He rides 1 1/4 miles and stops to take a drink. How much farther does Spencer have to ride to the park? Show your work.

Answers

Convert both mixed numbers to improper fractions since they do not have a similar denominator.

2 7/10 becomes 27/10
1 1/4 becomes 5/4

Now you need to find the least common denominator that 10 and 4 go into which is 20.

Multiply the top and bottom by the number it takes to make the denominator in each fraction 20

27/10 becomes 54/20 because you multiply the 10 and 27 by 2.

5/4 becomes 25/20 because you multiply the 4 and 5 by 5.

Now you can subtract the two fractions:

54/20 - 25/20 = 29/20

29/20 can be reduced to 1 9/10 which is how much farther he must go.

–5x+4

constant
coefficient:
variable:

Answers

Answer:

constant: 4

coefficient:-5

variable:x

Step-by-step explanation:

You can easily search up the definition of each word and figure it out just saying. It's fine if u wanna do this-

$500 is invested at 4.3% annual interest for 18 months.
a. Simple Interest b. Compound Interest

Answers

Answer:

a. $532.25 b. $1247.40

Step-by-step explanation:

a. A=P(1+rt)

500(1+0.043*1.5)

b.A=P(1+r/n)^nt

500(1+0.043/1.5)^18*1.5

(not 100% sure on compound interest though, sorry )

Rent-a-hunk o’ junk charges 29.95 per day

Answers

Answer:

.

Step-by-step explanation:

0.22 divided by 11 If you answer this you will be the BRAINLIEST

Answers

Answer:

0.02

Step-by-step explanation:

i dont know if u want explanation

Find x in each triangle.

Answers

Answer:

9

Step-by-step explanation:

9 squared plus 40 squared= 41 squared

Bill washes his mom's car once every 2 weeks and gets paid $20.00 each time. How much does he earn in 22 weeks?
$264.00
$240.00
$176.00
$220.00
Next
Reset

Answers

Answer:

Bill earns $220.00 in 22 weeks.

Step-by-step explanation:

If he is paid 20 dollars every 2 weeks for a car wash, we need to find out how many he gets for 22 weeks.

20 dollars = 2 weeks, to find 22, multiply both of the values by 11 to get to 22.

11(2 weeks = 20 dollars)

22 weeks = 220.

The amount of money earned in 22 weeks is $220.

Option D is the correct answer.

What is an expression?

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

The amount for each car wash = $20

Number of car wash in two weeks = 1

Now,

Number of car washes in 22 weeks.

= 22 / 2

= 11

Now,

The amount earned in 11 car washes.

= 11 x 20

= $220

Thus,

Amount earned in 22 weeks is $220.

Learn more about expressions here:

https://brainly.com/question/3118662

#SPJ2

Simple questions!!
I dont need a link!
The first questions are the same as the secong so I need help

Answers

Answer:

First Circle

Radius = 6

Diameter = 12

Circumference = 2 × [tex]\pi[/tex] × r = 2 × 3.14 × 6 = 37.68

2nd Circle

Radius = 3

Diameter =  6

Circumference = 2 × [tex]\pi[/tex] × r = 2 × 3.14 × 3 = 18.84

Hope This Helps!

What does A(2,5) become after rotated 360 degrees?
A) (-2,-5)
B) (5,-2)
C) (-5,2)
D) (2,5)

Answers

Answer:

D

Step-by-step explanation:

Its D because when you rotate 360 degrees you end up back where you were

Anyone know this......

Answers

The general equation is given as,

Un+1 = (Un)^3+2

here, n = number of the sequential entries like 0,1,2,3... so on.

so we get here as,

Uo = -3 , so we find U1 and U2

U1 = n+1 = 0+1

so,

===> U1 = (-3)^3 +2

===> U1 = -27 + 2 ==> U1 = -25

now, U2

U2 = n+1 = 1+1

so,

U2 = (-25)^3 + 2

U2 = -15625 + 2 ===> U2 = -15623

hence,

U1 = -25 and U2 = -15623

When a water-cooled nuclear power plant is in operation, oxygen in the water is transmuted to nitrogen-17. After the reactor is shut down, the radiation from the nitrogen-17 decreases in such a way that the rate of change in the radiation level is directly proportional to the radiation level.

Required:
Write a differential equation that expresses the rate of change in the radiation level in terms of the radiation level.

Answers

Answer:

The differential equation is [tex]\frac{dR}{dt} = -kR[/tex]

Step-by-step explanation:

Differential equation for the rate of change in radiation level:

Radiation level is R.

Rate of change indicates that the radiation level R varies in function of time t, which mathematically means that we have:

[tex]\frac{dR}{dt}[/tex]

After the reactor is shut down, the radiation from the nitrogen-17 decreases in such a way that the rate of change in the radiation level is directly proportional to the radiation level.

Rate of change is k. Decreases means that k is negative. Proportional to the radiation level of R means that -k multiplies R. So the differential equation is:

[tex]\frac{dR}{dt} = -kR[/tex]

Salina's age is one-quarter the age of her aunt. If a represents her aunt's age, which expression represents Salina's
age?
4a
a-4
a+4
A over 4

Answers

Answer:

D. A over 4

Step-by-step explanation:

One quarter is equal to [tex]\frac{1}{4}[/tex]. If her aunt is age 'a', than Salina's age is a/4

Hope this helps.

D. A over 4. I hope this is the correct answer

Which of the following is most likely the next step in the series?

Answers

Answer:

Its D

Step-by-step explanation:

Help
Find the experimental probability that 4 of 4
children in a family are boys.
The problem has been simulated by tossing 4
coins (one to represent each child). Let "heads"
represent a boy and "tails" represent a girl. A
sample of 20 coin tosses is shown.
HTHн HTTH TTTT THTT НТНТ
HHTT HHHT THHT HTTH ТОНН
HTTT НТНТ ТОНН ТНТН HTHн
TTHT HTTT НТНТ HHHT HHHH
Experimental Probability = [?]%
Enter

Answers

Answer:

5%

Step-by-step explanation:

I didn't see any more than I HHHH

There are 20 total tosses.

1 was successful

P(4 heads)= 1/20

Experimental Probability = 1/20 * 100 = 0.05 * 100 = 5%

If you see more than one HHHH put the number that you count over 20 and multiply by 100.

Answer:

sorry sorry sorry sorry sorry

Simplify the following expression. 3^2/5 x 3^(-7/5) A. 1/243 B. -14/25 C. 1/3 D. -3

Answers

Answer:

C

Step-by-step explanation:

3^2/5 x 3^-7/5

We know that a^b* a^c = a^(b+c)

3^(2/5 -7/5)

3^ (-5/5) = 3^ -1

We know that a^-b = 1/ a^b

3^-1 = 1 / 3

a fruit ponch can is 1/4 or 35 L ?​

Answers

Answer:

35 L

Step-by-step explanation:

because it cant be 1/4

Find a such that the points A(1, 3), B(7, 8), and C(a, a) are collinear.

Answers

Answer:

a = 13

Step-by-step explanation:

a = 13

look at pic 10 pts will mark brainilest

Answers

Answer:

B

Step-by-step explanation:

PLZ help! Find the surface area and volume. Leave your answers in terms of TT.

Answers

Solution:-

1. Radius (r) of the sphere = 10 units. (Given)

• Surface area of the sphere = 4πr².

Surface area of the sphere = 4 × π × (10)²

Surface area of the sphere = 4 × π × 10 × 10

Surface area of the sphere = 400π units. (Ans)

And,

• Volume of the sphere = 4/3πr³.

Volume of the sphere = 4/3 × π × (10)³

Volume of the sphere = 4/3 × π × 10 × 10 × 10

Volume of the sphere = 4000π/3

Volume of the sphere = 1333.3π cubic units. [approx] (Ans)

__________________________________

2. Diameter of the sphere = 16 units. (Given)

Radius (r) of the sphere = 16/2 = 8 units.

• Surface area of the sphere = 4πr².

Surface area of the sphere = 4 × π × (8)²

Surface area of the sphere = 4 × π × 8 × 8

Surface area of the sphere = 256π units. (Ans)

And,

• Volume of the sphere = 4/3πr³.

Volume of the sphere = 4/3 × π × (8)³

Volume of the sphere = 4/3 × π × 8 × 8 × 8

Volume of the sphere = 2048π/3

Volume of the sphere = 682.6π cubic units. [approx] (Ans)

__________________________________

3. Radius (r) of the sphere = 5 units. (Given)

• Surface area of the sphere = 4πr².

Surface area of the sphere = 4 × π × (5)²

Surface area of the sphere = 4 × π × 5 × 5

Surface area of the sphere = 100π units. (Ans)

And,

• Volume of the sphere = 4/3πr³.

Volume of the sphere = 4/3 × π × (5)³

Volume of the sphere = 4/3 × π × 5 × 5 × 5

Volume of the sphere = 500π/3

Volume of the sphere = 166.6π cubic units. [approx] (Ans)

__________________________________

4. Diameter of the sphere = 18 units. (Given)

Radius (r) of the sphere = 18/2 = 9 units.

• Surface area of the sphere = 4πr².

Surface area of the sphere = 4 × π × (9)²

Surface area of the sphere = 4 × π × 9 × 9

Surface area of the sphere = 324π units. (Ans)

And,

• Volume of the sphere = 4/3πr³.

Volume of the sphere = 4/3 × π × (9)³

Volume of the sphere = 4/3 × π × 9 × 9 × 9

Volume of the sphere = 2916π/3

Volume of the sphere = 972π cubic units. (Ans)

__________________________________

Which triangles are similar to △DEF?

Answers

Answer:

I believe it should be feg

can some help me with the question below I don't know the answer

Answers

Answer:

y=4

Step-by-step explanation:

in a 45-45-90 triangle sides a and b are equal and the hypotenuse is [tex]a\sqrt{2}[/tex]

so in this case y is a leg, so it is 4

in case there is a part two where they ask what x is, it would be [tex]4\sqrt{2}[/tex]

It’s only one question plz help (DON’T GUESS NO LINKS) please I will do anything there is a part two I’m struggling and this is the last assignment that will bring my grade up!!

Answers

Answer:

For question 1 it's B

For question 2 it's C

Step-by-step explanation:

For question 1, you have to apply the "Triangle Inequality Theorem"

A+B > C

B+C > A

A+C > B

Let's say that A=22, B=17, C= 14

22+17 > 14       True

17+14 > 22       True

22+14 > 17       True

Therefore, the answer is B

For question 2, you apply the rule of the sum of the triangles which is 180°

70+70+? = 180

140+? = 180

? = 40

Therefore, it's C

1)
Volume=
Help hhvddhhdbdbdhdjdjddbbdbdbdbdbdbdbdbdbdbdbdbdbdbdb please

Answers

Answer:

there have to be a number

Step-by-step explanation:

A company is going to make an oil container in the shape of a cylinder. As shown below, the container will have a height of 6m and a diameter of 6m. The container will be made from steel (including its top and bottom). If the steel costs $27 for each square meter, how much will the steel cost in total? If necessary, refer to the list of geometry formulas. For your calculations, do not round any intermediate steps, and use the π button on the ALEKS calculator. Round your answer to the nearest cent

Answers

Answer:

The cost of required steel is [tex]169.56 *27 = 4578.12[/tex] dollars

Step-by-step explanation:

The surface area of cylinder will be equivalent to the area of the steel sheet.

Surface area of cylinder [tex]= 2\pi rh+2\pi r^2[/tex]

Substituting the given values we get

Surface area of cylinder

[tex]= 2*3.14*3*6 + 2*3.14 *3^2\\= 169.56[/tex]square meter

Cost of 1 square meter of steel is  $27

Then, the cost of required steel is

[tex]169.56 *27 = 4578.12[/tex] dollars

Levi had 5 feet of wrapping paper. He then used 1 ¾ feet to wrap a box. How much wrapping paper does Levi have left?
HELP!!

Answers

3 1/4 basically all you do is subtract 1 3/4 from 5 to get that answer

In a class of 28 students, 10 are female and 15 have an A in the class. There are 4
students who are female and have an A in the class. What is the probability that a
student chosen randomly from the class is a female who has an A?

Answers

Answer: 10 out of 28 chancd

Step-by-step explanation:

Answer:

4/28

Step-by-step explanation:

trust me

What is the PERIMETER of this green rectangle? 3 in. 7in​

Answers

Answer:

20 in

Step-by-step explanation:

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