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y is inversely proportional to x.
When y = 7, x = 9
a) Work out an equation connecting y and x.
b) Work out the value of y when x = 21.
How do i find k?

Answers

Answer 1

Answer:

a) y = 63/x

b) y = 3

Step-by-step explanation:

Inverse proportionality between two variables means that if one of them increases, then the other one decreases.

These type of relationships can be written as:

y = k/x

Now we know that when y =7, x = 9

Then we can replace these two values and find the value of k.

7  =k/9

7*9 = k

63 = k

The our relationship is:

y = 63/x

This is the solution to a).

Now let's go with b)

We want to find the value of y when x = 21. then we just need to replace x by 21 in the equation "y = 63/x"

We will get:

y = 63/21 = 3

When x = 21, y is equal to 3.


Related Questions

Need help will give you the brainliest

Answers

Answer:

The answer is 3v + 5w

Step-by-step explanation:

simple add how many v's there are which are 3 so its 3v and count how many w's there are which is 5 so 5w all together is 3v+ 5w

hope this helps!

Za 30 dag żurawiny zapłacono 9,75zł. Oceń prawdziwość każdego zdania.

Answers

Step-by-step explanation:

Odpowiedź:

9.75zł :3 = 3.25zł

3.25zł x 4 = 13zł - Prawda

3.25zł x 10 = 32.50zł - Prawda

Liczę na najlepsze.

how many yards
carpeting is needed to cover a 60 feet length room and 40 feet width ​

Answers

Answer:

[tex]266[/tex] [tex]\frac{2}{3}[/tex] [tex]yards[/tex]

Step-by-step explanation:

1. Approach

First, convert the dimensions of the room from feet to yards. Remember, the conversion rate between feet and yards is, [tex]3feet=1yard[/tex]. Next, find the area of the room by multiplying the length by the width.

2. Convert the unit of measurement

The measurement unit is given in feet, one must convert it into yards. The conversion rate between yards and feet is, [tex]3feet=1yard[/tex].

[tex]60feet=20yards\\\\40feet=13\frac{1}{3}yards[/tex]

3. Find the area of the room

Now multiply the length by the width to find the area of the room.

[tex]20yards*13\frac{1}{3}yrads\\\\= 20 * \frac{40}{3}\\\\=\frac{800}{3}\\\\= 266\frac{2}{3}_{.}yards^{2}[/tex]

Which is the right answer

Answers

Answer:

C

Step-by-step explanation:

Considering the length of the triangle, I believe the answer is c.

List all the 4-digit even numbers that can be created by rearranging these number tiles.
3
4
7
2

Answers

Answer:

3472

3274

3742

3724

7342

7324

7234

7432

4372

4732

2374

2734

i found this much

These are the 12 possible 4-digit even numbers that can be created by rearranging the number tiles (3, 4, 7, 2).

To create 4-digit even numbers by rearranging the given number tiles (3, 4, 7, 2), we need to consider the following conditions:

The last digit must be an even number (2 or 4).The thousand digits cannot be 0.

Considering these conditions, the possible 4-digit even numbers that can be formed are:

   2347

   2374

   3247

   3274

   3427

   3472

   4237

   4273

   4327

   4372

   4723

   4732

These are the 12 possible 4-digit even numbers that can be created by rearranging the number tiles (3, 4, 7, 2).

Learn more about the even numbers here:

https://brainly.com/question/2142825

#SPJ4

In a video game, a guppy that escapes a net turns into three goldfish. Each goldfish can turn into two betta fish. Each betta fish can turn into two angelfish. Complete the diagram and write the number of fish at each stage. Write and evaluate an expression for the number of angelfish that can be formed from one guppy

Answers

Answer: 1 guppy = 3 goldfish

1 goldfish = 2 betta fish.....so 3 goldfish = (3 * 2) = 6 betta fish

1 betta fish = 2 angel fish....so 6 beta fish = (6 * 2) = 12 angel fish

so the number of angelfish that can be formed by 1 guppy is 12 angelfish

Can somebody plz help answer the rest of these questions correctly (only if u done this before) thx :3

WILL MARK BRAINLIEST WHOEVER ANSWERS FIRST :SD

Answers

Answer:

9. 16.34

10. 51.84

11. 20.11

12. 76.03

13. 64.09

just look up circumference of a circle and you should be able to put the radius in the first thing that pops up :)

please answer will give brainliest

Answers

Answer:

50 im sorry if im wrong

Step-by-step explanation:

Answer:

225

Step-by-step explanation:

15 * 15 = 225

225 / 2 =

I am stuck with the above question, please help

Answers

Answer:

D  

Step-by-step explanation:

Two lines are parallel if they have the same slope.

the given equation is in the form

y=mx+b

where

m=-5/2

b=-7

m is the slope.  You can see this by noting that if you increase x by 1 you increase y by m.

So, in this case, you are looking for a line with slope of -5/2.

You can solve each of the choice equations for y to see which one has the right slope.

A: y=(2/5)x-6   no good

B: y=-(2/5)x-1   no good

C: y=(5/2)x-4   no good

D: y=-(5/2)x-4  GOOD

-7x-2y = -13
x – 2y = 11

Answers

-7x -2y= -13
-x + 2y= -11
-8x=-24
x=3

(3) - 2y= 11
-2y= 8
y= -4

(3,-4)

A tea shop brewed 8 7/8 pitchers of chamomile tea, of which it sold 2 3/5 pitchers. How many pitchers remained unsold?

Answers

Answer:6 11/40

Step-by-step explanation: You can change your units to decimals or to fractions of equal value.  Decimals are easier for this so 8 7/8= 8.875 and 2 3/5 =2.6.  Then subtract: 8.875-2.6= 6.275   You can now convert back to a fraction by simplifying the .275 into 11 by dividing by 25 and 1000 into 40 by dividing by 25.  6+11/40= 6 11/40 tea left

Answer:

6 11/40

Step-by-step explanation:

First you have to convert the fractions into improper fractions, where 8 7/8 would turn into 71/8 and 2 3/5 would turn into 13/5. Then you have to find a common denominator which would be 40, so you get 355/40 and 104/40. Then to find the remaining amount, you have to subtract 104/40 from the 355/40, so 355/40 - 104/40, which equals 251/40. This turns into 6 11/40, which can't be simplified any further. Hope this helps :)

PLEASE PLEASE HELP. I’ve wasted so many points on this problem :(

Answers

Answer:

13 cm

Step-by-step explanation:

A^2+12^2=15^2

A^2+144=225

A^2=81

A=9

9x2=18

31-18=13 cm

Find the perimeter of a rectangle whose width is 3 cm and whose diagonal is 3 √5 cm long.

A^2+3^2=3√5^2

A^2+9=45

A^2=36

A=6

3+3+6+6=18 cm

What is the product of
(3y^-4) (2y^-4)

Answers

Answer:

Step-by-step explanation:

3(2)* y-4*y-4

6 y to the negative 8

if my answer helps please mark as brainliest.

10
Tara is playing a party game in which a tiny ball is
dropped into a rectangular box. To win the game, she
must guess where the ball will stop. What should she
guess to maximize her chances of winning?
scribes the likelihood of the ball
quare or rectangular shaped area?
square
circle
triangle
shaded area
4

Answers

Answer:

1. Shaded Area 2. Unlikely

Step-by-step explanation:

edge2021

Pls Help!!! Evaluate each expression for the given value of each variable.
...

Answers

You have to substitute each of the numbers given.

a.
2 + (3)^3
2 + 27
Answer: 29

b.
(1/2)^2
Answer: 1/4

c.
3(5)^2 + (3)
75+3
Answer: 78

d.
10(4) + (6)^2
40 + (6)^2
40 + 36
Answer: 76

cube root(8+ 3 root 21)+ cube root (8-3 root 21)
plese give good answer with explanation or I will report

Answers

Answer:

[tex]\sqrt[3]{8+3\sqrt{21} } + \sqrt[3]{8-3\sqrt{21} }[/tex] = 1

Step-by-step explanation:

Given[tex]\sqrt[3]{8+3\sqrt{21} } + \sqrt[3]{8-3\sqrt{21} }[/tex]To find The value of the expressionSolution

Let's rewrite the given as:

[tex]\sqrt[3]{3\sqrt{21} + 8} - \sqrt[3]{3\sqrt{21} - 8}[/tex]

Let the value is m and the expressions under 3rd roots are a and b, then we have

a = 3√21 + 8, b = 3√21 - 8m = ∛a - ∛b

Cube the both sides:

m³ = (∛a - ∛b)³m³ = a - b - 3[tex]\sqrt[3]{a^2b}[/tex] + 3[tex]\sqrt[3]{ab^2}[/tex]

Simplify in bits:

a - b = 3√21 + 8 - 3√21 + 8 = 16ab = (3√21 + 8)(3√21 - 8) = 9*21 - 64 = 125∛ab = ∛125 = 5

So the expression becomes:

m³ = 16 - 3[tex]\sqrt[3]{125a} + \sqrt[3]{125b}[/tex]m³ = 16 - 15∛a + 15∛bm³ = 16 - 15(∛a - ∛b)m³ = 16 - 15m

Solve for m:

m³ + 15m - 16 = 0m³ - 1 + 15m - 15 = 0(m - 1)(m² + m + 1) + 15(m - 1) = 0(m - 1)(m² + m + 16) = 0m - 1 = 0, m² + m + 16 = 0m = 1 is the only real root, the quadratic equation has no real roots

The answer is 1

look at this i think this boy likes me

Answers

Answer:

talk to him

Step-by-step explanation:

he def likes you lmazo

Can someone help me with this math!

Answers

Answer:

45

Step-by-step explanation:

((100-25)/100)× 60 is the correct answer

A rectangular pool is 6 feet by 12 feet. A 4 foot walkway is placed around the entire pool. What is the area of just the walkway?

PLEASEE HELP

Answers

Ok so the answer is 88 feet^2.

Explanation: First we would find the area of the pool. 6 times 12 is 72.
Since 4 feet is added add that to 6 AND 12.
Now multiply 10 and 16. 10 * 16 = 160.
Subtract 72 from 160. 160-72= 88 ft^2
Hope this helps!!

Just look at the pictures I really need help

Answers

Answer:

Step-by-step explanation:

It can be shown that all four sides of this figure have the same length.  This, in turn, is the definition of a rhombus.

what is 4,390.44 + 8.399, and show work pls

Answers

Answer:

4,398.839

Step-by-step explanation:

4,390.440 + 8.399=x

.000+.009=.009

.04+.09=.13

.4+.3=.7

.009+.13+.7=0.839

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

4390+8=4398

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

4398+0.839=4398.839

calvin has a fever with 38.5 degrees celsius, after taking medicine it drops by 2 degrees celsius. write the temperature of calvin after taking medicine​

Answers

Answer:

36.5 degrees Celsius

Step-by-step explanation:

38.5-2=36.5 degrees Celsius

36.5 degrees Celsius

You have deposited SEK 10,000 in an account that gives 2% interest every year. How much have you received in interest after two years?

Answers

Answer:

404

Step-by-step explanation:

2% of 10000 = 200 in the first year, setting your account to 10200

2% of 10200 = 204 in the second year, setting your account to 10404

In the total of 2 years, you received 404 extra

Answer:

Deposite amount (P) = 10000

Interest ( R)    = 2%

Years (T) = 2

Formula

S.I =PRT÷100

S.I =10000×2×2÷100

S.I =40000÷100

S.I =400

You have received interest after 2 years =400

Step-by-step explanation:

is (0,-4)a solution ?
Please help :/ marked brainly

Answers

Answer:

Not enough informations

Answer:

no its -4

Step-by-step explanation:

EVERYONE PLZ PLZ PLZ ANSWER THIS QUESTION

Answers

Answer:

the answer is definitely c

Answer:

C

Step-by-step explanation:

Hope this helps! Have a nice day :D

Mr Hall walked of the way from his house to work.
He walked 6 miles.
How far is it in total from his house to work?
?
6 miles

Answers

Answer:

6 miles

Step-by-step explanation:

Which statement best uses this information to explain why the AA criterion can be used to prove ABC~DBE

Answers

Answer:b

Step-by-step explanation:

Answer: B

Step-by-step explanation:

1. I have a tablespoon, but I need a teaspoon. What do I do?

2. I have a 2 cup measuring cup and need 1 1/4 cup mil and 1/2 cup of vegetable oil. How far do I fill it up if I’m measuring together?


I only need help with these two, my brain went completely blank while solving these.

Answers

Answer:

Step-by-step explanation:

1 tablespoon = 3 teaspoons

You need to fill the tablespoon a third full. Not accurate, but that's what you have to do.

:::::

1¼ + ½ = 1¾

you need to fill the 2 cup measuring cup ⅞ full to get 1¾ cups.

1. Fill the tablespoon only 1/3 full
2. Fill it up 1 3/4 full

I'll give brainliest ​

Answers

Answer:

its 2/3

my bad

which graph represents exponential decay?

Answers

Answer:

I THINk i did this but i will try to reamber

Step-by-step explanation:

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