Given that X varies directly as Y³ and X = 54, Y = 3. find X 10 Y = 5 what is the relationship between X and Y?​

Answers

Answer 1

Answer:

x=6y3

Step-by-step explanation:

we first find the constant of proportionality where by we say; x= ky3

we're given x = 54

and y = 3

so

54=k(3cubed)

therefore

54= 9k

divide be 9 both sides to get k which is the constant

k=6

now rewrite the equation replacing k with 6

it will be...

X=6Y3


Related Questions

The sum of 4 consecutive integers is (-28).
Write an equation with these integers equaling (-28).

Answers

Answer:

Step-by-step explanation:

Let the lowest integer be x, then:

x + x + 1 + x + 2 + x + 3 = -28.

Apply the distributive property to factor out the greatest common factor.
6+30=6+30

Answers

6 + 30

The greatest common factor is 6, so take it out. We get...

6 (1 + 5)

Let's verify it.

6 (1 + 5) = 6 + 30

6(6) = 6 + 30

36 = 36

LHS = RHS, Hence proved.

______

RainbowSalt2222 ☔

Simplify as far as possible without using a calculator.

Answers

19.9 hope this helped

A copy machine makes copies 32 per minute. How long does it take to make 168 copies

Answers

Answer:

5.25m

Step-by-step explanation:

32 papers will make in 1 minute

(168 copies/32copies)×1min = 5.25m

It would take 5 minutes and 25 seconds. Just take 168 and divide it by 32 and then you will be left with your answer 5.25.

2/5+1/2=====================

Answers

Answer:

9/10

Step-by-step explanation:

To add fractions, find the LCD and then combine.

Exact Form:

9/10

Decimal Form:

0.9

the table shows the pricing for four different types of gasoline which type cost the least per gallon a $20.20 for 10 galb $26.04 for 12 gal c $28.14 for 14 gal d $30.45 for 15 gal​

Answers

Answer:

A is the cheapest deal.

Step-by-step explanation:

find unit rate; cost / quantity

20.20 / 10 = $2.02 per gallon

26.04 / 12 = $2.17 per gallon

28.24 / 24 = $2.01 per gallon

30.45 / 25 = $2.03 per gallon

What is the measure of angle 1

Answers

The answer is 88 degrees

Angle 1= 88 degrees
( the third option )

A square hole 7.50 cm along each side is cut in a sheet of copper. (a) Calculate the change in the area of this hole resulting when the temperature of the sheet is increased by 49.0 K. cm2(b) Does this change represent an increase or a decrease in the area enclosed by the hole

Answers

Answer:

it increases the the hole

Step-by-step explanation:

Complete the equation for the line shown in the graph. (-1,-2) (0,1) (1,4)

Answers

An equation for the given ordered pairs you gave me is: y=3x+1

Hope this helped you!! :)

9. A cheetah is located 100 yards away from an antelope. The cheetah begins running on a straight path toward the antelope at a constant speed of 30 yards per second. At the same time, the antelope begins running away from the cheetah at a constant speed of 25 yards per second. If both animals continue to run on a straight path at the same speeds, how long will it take for the cheetah to catch up to the antelope?​

Answers

It takes 20 seconds for the cheetah to catch up to the antelope

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

Speed = distance / time

Let d represent the distance covered by the cheetah at time t, hence:

30 = d / t

t = d / 30

The antelope is 100 yards away, hence:

25 = (d - 100) / t

t = (d - 100)/25

d/30 = (d - 100)/25

25d = 30d - 3000

d = 600 yards

t = d/30 = 600/30 = 20 seconds

It takes 20 seconds for the cheetah to catch up to the antelope

Find out more at: https://brainly.com/question/22610586

It’s for pre college

Answers

Answer:

Step-by-step explanation:

y = mx + b for line through (7, 4) and perpendicular to -5x + 9y = - 71

perpendicular lines have negative reciprocal slopes

-5x + 9y = - 71

9y = 5x - 71

y = (5/9)x - 71/9

so a perpendicular line will have slope -9/5

y = (-9/5)x + b

plug in our desired point

4 = (-9/5)7 + b

4 = -63/5 + b

20/5 = -63/5 + b

b = 83/5

y = (-9/5)x + 83/5

5y = -9x + 83

please help..........

THANKS!

Answers

The answer would be 5/4

A company has launched a Business App. for smart mobile phones, the users who installed the application in 2015 were 10000 users, and they increase by 10% each succeeding year.
a) Determine the number of users in the year 2020.
b) If the company gains on average annual revenue of OMR 12 per user, what is the total revenue gained until the end of the year 2021?

Answers

Answer: a) 15000 b) OMR 192,000

A groundhog starts out in its burrow 6.2 feet below the surface of the ground. It digs straight up at a rate of 0.8 feet per
How long does it take for the groundhog to reach a depth of
-2.6 feet?

Answers

Answer:

4.5

Step-by-step explanation:

I took the test and got it right

Tt takes 20.15 minutes for the groundhog to reach a depth of -2.6 feet.

What is the unitary method?

The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.

Given that, a groundhog starts out in its burrow 6.2 feet below the surface of the ground.

It digs straight up at a rate of 0.8 feet per minute.

Here, rate =6.2/0.8

= 7.75 feet per minute

Now, the time is 2.6×7.75

= 20.15 minutes

Therefore, it takes 20.15 minutes for the groundhog to reach a depth of

-2.6 feet.

To learn more about the unitary method visit:

brainly.com/question/22056199.

#SPJ2

"Your question is incomplete, probably the complete question/missing part is:"

A groundhog starts out in its burrow 6.2 feet below the surface of the ground. It digs straight up at a rate of 0.8 feet per minute. How long does it take for the groundhog to reach a depth of −2.6 feet?

What is the common difference in the arithmetic sequence 13, 26, 39, 52, 65?​

Answers

They all have a difference of 13.

So each time 13 is added to get the next number.

13 is added to each number to make the next number

Kim Barney pays a $290.00 annual premium for an insurance plan with a $500 deductible. The company pays 80% of the remaining expense. If Kim had $2,500.00 in medical expenses, calculate the following.

Answers

The amount that Kim Barney spends is $342 for medical expenses.

What is buying cost?

Buying cost is the cost at which someone buys or is willing to buy shares, bonds.( including the tax)

here, we have,

Given that,

Kim Barney pays a $290.00 yearly premium for a $500.00 deductible insurance plan. 80 percent of the remaining cost is covered by the business. If Kim has medical costs of $2,500.00

To find : The amount that Kim barney spends for the medical expenses.

If the business covers 80% of the remaining balance ($1710), they will be responsible for paying $1368 of it.

10% of 1710 is 171

171x8=1368

The insurance provider covers the $1368.

Kim Barney spends $342.

Consequently, Kim Barney spends the following amount on medical costs $342.

To learn more about the cost click here:

brainly.com/question/30045916

#SPJ2

Tell whether the fractions are equivalent. Write = or [tex]\neq[/tex]
3/4 ____ 8/12

Answers

not equal 3/4 x 3 = 9/12

show work plz!!!!!!!!!!!!!

Answers

Here, we have been asked to find the order of rotational symmetry of a symmetry of a regular pentagon. First let us learn about rotational symmetry and some basic terms related to it.

1. Rotational Symmetry: -

It is the property a shape has when it looks the same after some rotation by a partial turn. For example: - an equilateral triangle will look the same after a partial rotation of 120∘

2. Centre of rotation: -

The fixed point around which the rotation occurs is called the centre of rotation. For example: - the centre of rotation of a fan is the centre of the fan from which its blade originates.

3. Angle of Rotational Symmetry: -

The angle of rotational symmetry is the smallest angle for which the figure can be rotated to coincide with itself. For example: - the angle of rotation of an equilateral triangle is 120∘

4. Order of Rotational Symmetry: -

The order of rotational symmetry of a shape is the number of times it can be rotated around a full circle and still look the same. For example: - an equilateral triangle can be rotated 3 times around a full circle, each time at the angle of 120∘

, so its order of rotation will be 3.

In general, a regular polygon having n – sides have ‘n’ lines of symmetry and their order of rotational symmetry is ‘n’.

Now, let us come to the question. We have to find the order of rotational symmetry of a regular pentagon.

We know that a regular pentagon has 5 sides.

Hence, it will have 5 lines of symmetry and its order of rotational symmetry will be 5.

Find each function value.

f(6) if f(x) = 4x?

f(8) if f(x) = x + 11


Answers

hello,

just plug in the values to the equation:

f(6) = 4(6) = 24
f(8) = 8+11 = 19

hope this helped :)
here is the ans hope it help

What is the place value of 8 in 4.08?
20+ Points

Answers

Answer: The place value of 8 is in the hundredths. This would be called four and eight hundredths.

Would appreciate brainly <3

Hello there!

The value of 8 is:

Hundredths

The second number after the decimal point is in the hundredths place.

Hope it helps!

Please mark brainliest!

~Just a determined gal

[tex]MysteriousNature[/tex] here to help

Find the value of the expression 4a + 7 when a= 1/2.
plssss help quiiick

Answers

Answer:

The answer is 9

Step-by-step explanation:

1/2 of 4 is 2, so you plug that in

2+7=9

Fred needs 410 game markers to play with his classmates and their families math night. He has 96 red markers, 123 blue markers, 106 yellow markers, and 72 green markers. Does he have enough game markers to play the game?

Answers

Answer:

No

Step-by-step explanation:

the reason why i said nonis cause 96+123+106+72=397 which means he still needs 13 more

A small publishing company is releasing a new book. The production costs will include a one-time fixed cost for editing and an additional cost for each book
printed. The total production cost C (in dollars) is given by the function C-550 +15.95N, where N is the number of books,
The total revenue earned (in dollars) from selling the books is given by the function R=31.90N.
Let P be the profit made (in dollars). Write an equation relating P to N. Simplify your answer as much as possible.

Please answer me ASAP I need an answer.

Answers

Answer:

P = 15.95N - 550

Step-by-step explanation:

The profit is the difference between the revenue and the total cost:

P = R - C

Substitute values:

P = 31.90N - (550 + 15.95N)P = 31.90N - 15.95N - 550P = 15.95N - 550

The difference between cost and revenue is profit

P=R-CP=31.90N-(15.95N+550)P=31.90N-15.95N-550P=15.95N-550

In a math class, the teacher asked the students to find the approximate value of one of the x-coordinates of a point of intersection of two functions: f(x) = 2x2 − 3x + 4 g(x) = 5x − 1 Her students gave her different answers. Which answer is the most accurate?
A.
0.8
B.
0.9
C.
1.9
D.
1.1

Answers

Answer:

A. 0.8

Step-by-step explanation:

An easy way is to substitute values into both equations and compare:

A. x = 0.8

f(x) = 2(0.8)² - 3(0.8) + 4 = 2.88g(x) = 5(0.8) - 1 = 3

B. x = 0.9

f(x) = 2(0.9)² - 3(0.9) + 4 = 2.92g(x) = 5(0.9) - 1 = 3.5

C. x = 1.9

f(x) = 2(1.9)² - 3(1.9) + 4 = 5.52g(x) = 5(1.9) - 1 = 8.5

D. x = 1.1

f(x) = 2(1.1)² - 3(1.1) + 4 = 3.12g(x) = 5(1.1) - 1 = 4.5

As we see the most accurate one is A

Let's graph both function(Attached)

Let's round 0.775

[tex]\\ \sf\longmapsto 0.775[/tex]

[tex]\\ \sf\longmapsto 0.77[/tex]

[tex]\\ \sf\longmapsto 0.8[/tex]

Option A is correct

This table represents the number of pounds, p, a puppy grows after w, weeks.


When graphed, all of the points in the table lie on the same line.


What is the slope and y-intercept of the line?



slope=−94, y-intercept=−0.8


slope=−49, y-intercept = 2


slope=49, y-intercept=−0.8


slope=94, y-intercept = 2

Weeks, w Weight in pounds, p

0 2

2 6.5

4 11

6 15.5 help plz

Answers

Answer:

the answer is slope=94, y-intercept = 2

Step-by-step explanation:

i took the test

Calculate percentage to the nearest 0.1%.

The markup on desserts in a restaurant is 70% of the menu price. The restaurant is adding key lime pie to its dessert list.
The cost to the restaurant works out to $1.25 per slice.
Determine:

a. The menu price of a slice of pie. (Round your answer to the nearest cent.)

Price
$

b. The rate of markup on cost. (Round your answer to one decimal place.)

Rate
%

Answers

9514 1404 393

Answer:

  a. $4.17

  b. 233.3%

Step-by-step explanation:

a. The proportion the markup (m) is to the total (t) is ...

  m : t = 7 : 10

The total is the cost (c) plus the markup, so we have ...

  m : t = 7 : 10 = m : (m +c) = 7 : 7 +3

Then the ratio of total price to cost is ...

  t : c = 10 : 3

The menu price of the pie slice will be ...

  $1.25 × 7/3 ≈ $4.17

__

b. The ratio of markup to cost is ...

  m : c = 7 : 3 ≈ 2.333 = 233.3%

Tobias's music store bought a piano at the wholesale price of $550 to buy a smart up the price 35% of the amount of mark up

Answers

Answer: 742.50$

Step-by-step explanation:

35% of 550 is 192.50$ 192.50$ + 550.00$= 742.50$

A local hamburger shop sold a combined total of 813 hamburgers and cheeseburgers on Saturday. There were 63 more cheeseburger sold than burgers. How many hamburgers were sold on Saturday?

Answers

9514 1404 393

Answer:

  375 hamburgers

Step-by-step explanation:

Let h represent the number of hamburgers. Then h+63 is the number of cheeseburgers, and the combined total is ...

  h +(h +63) = 813

  2h = 813 -63 = 750

  h = 750/2 = 375

375 hamburgers were sold on Saturday.

_____

Additional comment

In a "sum and difference" problem like this, the smaller number is half the difference between the sum and the difference. h = (813 -63)/2 = 375. This generic solution applies to all "sum and difference" problems.

if something traveled 36 feet in 22 frames in a 60 fps video, how fast would that be in mph?

Answers

i calculated that the answer will be roughly 24.9 miles per hour.

Roughly 24.9 miles per hour

Given the following exponential function, identify whether the change represents growth or decay, and determine the percentage rate of increase or decrease.

y=23(0.292)^x

what is the % increase

Answers

Answer:

Decay

since 0.292 is less than 1

% rate of decrease

1 - 0.292 = 0.708

70.8%

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