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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

After losing the __________, the Chinese government was forced to make reparation payments to Britain.
A.
Anglo-Chinese War
B.
Chinese Civil War
C.
Revolution of 1911
D.
Sino-Japanese War

Answers

Option A. Anglo-Chinese War.

Answer: a.anglo-chinese war in e2020

Step-by-step explanation:

11. The scale on a map is 1: 80000. A town has an area of 37.5cm2 on the
map. What is the actual area of the town in km2? *
2 points

Answers

The actual area of the town is 3,000,000 km².

Explanation:

Scale = Drawing / Actual

Let x km² be the actual area of the town.

1:80000 = 37.5 / x

1 / 80000 = 37.5 / x

1x= 37.5 • 80000

x = 3 000 000

Solve 12x + 6 = 102 ?????????????????

Answers

Answer:

12x =102-6

x=96/12

x=8 is the correct answer

Answer:

Answer is x=8.

Step-by-step explanation:

12x+6=102

12x+6-6=102-6

12x=96

12x/12=96/12

x=8

I hope it's helpful!

PLSS I NEED HELPPP .

Answers

Answer:

yes

Step-by-step explanation:

...........................

Please hurry it’s timed

Answers

The second one is the answer

point (4, 10) lies in which quadrant

Answers

Answer:

the second quadrant

Step-by-step explanation:

Answer:

itssss sooooo easy

Step-by-step explanation:

quadrant 1

which expression is equivalent to (7x^3)^2 (x^8)

Answers

Answer:

49x^14

Step-by-step explanation:

Please show work I will mark brainlist

Answers

Answer:

450 online tickets

200 gate tickets

Step-by-step explanation:

Let x = no. of online tickets

and y = no. of gate tickets

60x = total sales of online tickets

80y = total sales of gate tickets

    x + y = 650      and 60x + 80y = 43000

         y = 650 - x          60x + 80(650 - x) = 43000

                                     60x + 52000 - 80x = 43000

                                     -20x = -9000

                                           x = 450 online tickets

         y = 650 - 450 = 200 gate tickets

5. Alex invests $18,100 at 13.6% compounded quarterly for 10 years. How much it be worth in the end?

Answers

Answer:

It be worth in the end : ($18,100 x 13.6%) x 4 = $ 9,849.4

Step-by-step explanation:

1 quarter = 3 months => 1 year = 4 quarters

Draw a triangle ABC with A(6,10), B(7,6), and C(10,7).

Translate it 5 squares left and 6 squares down to get A'B'C'.

Write the coordinates of the image.

Answers

Answer:

A(1,4) B(2,0) C(5,1)

y=4x+3
2x-3y=21
SHOW YOUR WORK

Answers

Step-by-step explanation:

y = 4x+3

2x-3y = 21

2x -3(4x+3) = 21

2x -12x -9 = 21

-10x = 21 + 9

-10x = 30

x = -3

(emoji) + 3 = -6 { find the value of the emoji }

Answers

Answer:

-9

Step-by-step explanation:

x+3= -6

×= -6-3

x= -9

mark me branliest

Answer:

emojissss  

Step-by-step explanation:

:3 =.= XD :7

PWEASE HELPPP!!

Ben and Jerry are driving to Chicago and it takes 270 miles to get there. They

have already traveled 42 miles and are driving 75 mi/h. Write a function that

models the distance they drive as a function of time.

Answers

Answer:

d= 75*t

Step-by-step explanation:

Given data

We are given that the total distance = 270 miles

And that they have already traveled 42 miles

speed= 75mi/h

The remaining distance of the journey is = 270-42

= 228 miles

We know that

speed= distance/time

distance= speed*time

also

d= 75*t

Hence, we can estimate the distance they have traveled for any number of time t

NEED HELP ASAP!!! WILL MARK BRAINLIEST!!!

A sample of 500 g of radioactive lead-210 decays to polonium-210 according to the function A(t) = 500 e ^-0.0325, where t is time in years. Find the amount of radioactive lead remaining after (a) 4 yr, (b) 8 yr, (c) 15 yr. (d) Find the half-life.

Answers

Answer:

t=4

Step-by-step explanation:

this killing me pls help ‍♀️

Answers

-6p - 3 = 9, Solve for p

Add 3 to both sides.

-6p = 12

Divide -6 by both sides.

p = -2

A dress regularly costs $70, but is on sle for $56. What is the percent discount?

Answers

Answer:

$14

Step-by-step explanation:

70-56=14

Answer:

14%

Step-by-step explanation:

I guessed.

ccccc
ccccc
ccccc
ccccc
ccccc

Answers

Cccccccccccccccccccccccccccccccc

Answer:

cccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccc

Step-by-step explanation:


Calculate the elapsed time between:
a 9:30 a.m. and 7:30 p.m.

Answers

The elapsed time is 10 hours
That would be 10 hours.

PLEASE HELP ME!!! PLEASE HELP ME!!!!

Answers

Answer:

no le entiendo perdon no se ingles incluso estoy en clase

This year, a farmer planted 300 acres of corn. This was 1.5 times as many acres as he planted last year. How many acres did he plant this year?

Answers

Answer:

600 acres

Step-by-step explanation:

brainest vote pleasee

PLS HURRY TY WILL GIVE BRAINLIEST

Answers

Answer:

i'm pretty sure its c

Step-by-step explanation:

have a great day!!

Answer:

The quadratic equations and their solutions are;

9 ± √33 /4 = 2x² - 9x + 6.

4 ± √6 /2 = 2x² - 8x + 5.

9 ± √89 /4 = 2x² - 9x - 1.

4 ± √22 /2 = 2x² - 8x - 3.

Explanation:

Any quadratic equation of the form, ax² + bx + c = 0 can be solved using the formula x = -b ± √b² - 4ac / 2a. Here a, b, and c are the coefficients of the x², x, and the numeric term respectively.

We have to solve all of the five equations to be able to match the equations with their solutions.

2x² - 8x + 5, here a = 2, b = -8, c = 5.                                                  x = -b ± √b² - 4ac / 2a = -(-8) ± √(-8)² - 4(2)(5) / 2(2) = 8 ± √64 - 40/4.     24 can also be written as 4 × 6 and √4 = 2. So                                                                                     x = 8 ± 2√6 / 2×2= 4±√6/2.

2x² - 10x + 3, here a = 2, b = -10, c = 3.                                                   x =-b ± √b² - 4ac / 2a =-(-10) ± √(-10)² - 4(2)(3) / 2(4) = 10 ± √100 + 24/4. 124 can also be written as 4 × 31 and √4 = 2. So                                                                              x = 10 ± 2√31 / 2×2 = 5 ± √31 /2.

2x² - 8x - 3, here a = 2, b = -8, c = -3.                                                    x = -b ± √b² - 4ac / 2a = -(-8) ± √(-8)² - 4(2)(-3) / 2(2) = 8 ± √64 + 24/4.     88 can also be written as 4 × 22 and √4 = 2. So                                                                             x = 8 ± 2√22 / 2×2 = 4± √22/2.

2x² - 9x - 1, here a = 2, b = -9, c = -1.                                                     x = -b ± √b² - 4ac / 2a = -(-9) ± √(-9)² - 4(2)(-1) / 2(2) = 9 ± √81 + 8/4.                                          x = 9 ± √89 / 4.

2x² - 9x + 6, here a = 2, b = -9, c = 6.                                                    x = -b ± √b² - 4ac / 2a = -(-9) ± √(-9)² - 4(2)(6) / 2(2) = 9 ± √81 - 48/4.                                                                             x = 9 ± √33 / 4 .

Step-by-step explanation:

PLEASE HELP OR ELSE MOM WILL BE REALLY MAD!!!!! Two trains, one going from Boston to New York and the other going from New York to Boston, started their trips at exactly same time. Speed of the first train was 10 mph less than twice the speed of the second train.How far from Boston station to have the Met in two hours, if the total distance between cities along the railroad is 220 miles?

Answers

Answer:

140 mile

Step-by-step explanation:

[tex]d_{1} +d_{2} =220\\2(2x-10+x)=220\\x=40\\d_{1}=2*(2*40-10)=140mile[/tex]

While x is the speed of the second train.

The speed of the first train is 50 miles per hour while the second train is at 60 miles per hour.

Speed

Speed is the ratio of total distance to total time taken. It is given by:

Speed = distance / time

Let a represent the speed of the first train. In two hours:

a = d₁/2

d₁ = 2a

a + 10 = d₂/2

d₂ = 2a + 20

d₁ + d₂ = 220

2a + 2a + 20 = 220

4a = 200

a = 50 miles per hour

The speed of the first train is 50 miles per hour while the second train is at 60 miles per hour.

Find out more on Speed at: https://brainly.com/question/4931057

What is the recursive formula for the sequence:
1350,450, 150, 50

Answers

Answer:

It is being multiple by 3

30 POINTS!! BRAINLIEST

Answers

Answer:

the first box is 1/3

the second box is 27

Step-by-step explanation:

Answer:

thanks for 15 points

Step-by-step explanation:

In the equation 6(5k-8)-20= 11(2k-3)+3k
I know you would solve inside the parenthesis 6 times 5k gives you 30k but when you multiply the 8 should it be 6 times -8 or 6 times 8?

Answers

Answer:

k = -1

Step-by-step explanation:

6(5k-8)-20= 11(2k-3)+3k | Given

30k - 48 - 20 = 22k - 33 + 3k | Distribute

30k - 28 = 25k - 33 | Add numbers & combine like-terms

30k = 25k - 5 | Add 28 to both sides

5k = -5 | Subtract 25k from both sides

k = -1 | Divide -5 by 5

volume of the composite

Answers

Step-by-step explanation:

To find the volume of a composite 3D figure, draw any necessary planes to view the figure as basic three dimensional figures, then: add basic figure volumes belonging to the composite shape. subtract basic figure volumes NOT belonging to the composite figure.

please help please help

Answers

Answer:

c

Step-by-step explanation:

4000x.5=2000 which is the next table on the chart.

Answer:

Step-by-step explanation:

y=ar^t

f(x)=4000(1/2)^x

Which inequality describes the graph?

Answers

Answer:

x>-1

Step-by-step explanation:

-1 is not greater than 1 so its not any of the right answers. So were left with the left answers. The arrow starts at -1 so it can't be 1 so its x>-1

Which sentence states the author’s point of view of microloans?


A.They help people, not communities.



B.They can change people’s lives for the better.



C.They need to be changed in order to work correctly.



D.They should be paid back quickly to make a difference

Answers

Answer:

B

Step-by-step explanation:

It is right

Find product of

4xy², 2x² - 3y², x³y³

pls help me will mark u as brainliest

full explanation pls​

Answers

Answer:

8x⁶y⁵ - 12x⁴y⁷

Step-by-step explanation:

→ 4xy² × 2x² - 3y² × x³y³

→ 4x⁴y⁵ × 2x² - 3y²

→ 8x⁶y⁵ - 12x⁴y⁷

HOPE THIS HELPS YOU

Follw me = 10 thanks

Mark as brainliest = 10 thanks

1 thanks to me = 2 thanks

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