y is inversely proportional to the cube of x if y = 7 when x=4 what is y when x is 5

Answers

Answer 1

Answer:

y = 3.584

Step-by-step explanation:

Given

Variation = Inverse Proportional

When y = 7, x = 4

Required

Find y when x = 5

First, we need to represent the variation.

y varies inversely proportional to x³

This implies that

y ~ 1/x³

Convert variation to equation

y = k/x³

Make k the subject

k = x³y

When y = 7, x = 4

This gives:

k = 4³ * 7

k = 64 * 7

k = 448

To determine the value of y when x = 5;

We make use of y = k/x³

Substitute 5 for x and 448 for k

y = 448/5³

y = 448/125

y = 3.584


Related Questions

Jeanette purchased a concert ticket on a web site. The original price of the ticket was $75. She used a coupon code to receive a 20% discount. The web site applied a 10% service fee to the discounted price. Jeanette’s ticket was less than the original price by what percent?

Answers

it was 30% off because the site had a discount plus her coupon

Write the slope-intercept form of the equation

Answers


(1/3)x-2 is the answer
y=1/3x-2 , have a good day and make sure u eat!!

Use the relashonships between the angles to find the value of x

Answers

Answer: and I oop skssss

Step-by-step explanation:

102 = x + 15
87 = x

hope this helped

Will give brainliest if correct!
If y + 1= 2015, for what positive integer w will 2y^2 + 2y = 2015w?

Answers

Answer:

w = 4028

Step-by-step explanation:

Solve for y

[tex]y+1 = 2015[/tex]

[tex]y=2014[/tex]

Substitute 2014 for y then solve for w

[tex]2\left(2014\right)^{2}+2\left(2014\right)=2015w[/tex]

[tex]w=\ \frac{\left(2\left(2014\right)^{2}+2\left(2014\right)\right)}{2015}[/tex]

[tex]w=4028[/tex]

Therefore, w must be 4028

Solve each inequality. I need help please.

Answers

You just need to divide to get to 1n. -3n = 84
So the answer is 84/ -3 = -28. n= -28

Answer:

n [tex]\geq[/tex] -28

Step-by-step explanation:

Since you're dealing with negative numbers, flip the sign. Furthermore, to isolate n, divide 84 by -3 and you will get -28. Your answer therefore, is n [tex]\geq[/tex] -28.

Find the number of possible outcomes for the subway. Five breads, 4 meats, 4 cheeses, toasted or not toasted *​

Answers

Answer:

Whole Wheat bread, meatball marinara, toasted bread, lettuce, and parmesan

Step-by-step explanation:

Ruben bought 666 comic books for \$21$21dollar sign, 21. Each comic book was the same price.
What was the cost for 111 comic book?

Answers

Answer:

$3.50 for 1 book

Step-by-step explanation:

$21/6 = $7/2 = $3.50

Answer: $3.50 for 1 book

Jordan hiked to the top of a mountain. He started the hike at 8:30 A.M. It took 2 hours and 15 minutes to get to the top of the mountain and 1 hour and 30 minutes to hike back down. What time was it when Jordan finished the hike?

Please help me fast!!!!

Answers

Answer:

12:15 PM

Step-by-step explanation:

In 2011, the population of Mali was about 1.584 x 107 people. What is this number written in standard
notation?

Answers

hold on ima do rn i think we’re doing the same thing

I’ll give brainlest I don’t know the answer:/ someone help bruh

Answers

Answer:

(4,2)

Step-by-step explanation:

its where the point intersects which is (4,2)

WDGWADgawYd awIdwaiudwaiudgaidgawida

Answers

Um ok then xxxtdysfsfofixuctdyvv do trduddidjsixdidkcyfdkxoxddfrthgigigviiicvivivtc

Garrett needs 3 gallons of fruit juice to make punch.

He already has 5/6 gallon of grape juice and 2/3 gallon of orange juice.

Drag amounts of juice that he can add to the juice he already has to make exactly 3 gallons.

Answers

Answer:

3 of each gallon

Step-by-step explanation:

It worked for me on ttm

Answer:

4 of 1/3 and 1 of 1/6

Step-by-step explanation:

5/6+2/3=9/6

9/6+4/3=17/6

17/6+1/6=18/6

18/6=3

start at -3.5 and then add to that 4.2. As if you were walking from -3.5 on the number line up 4.2 steps to the right. Where would you land?

Answers

Answer:

0.7

Step-by-step explanation:

Answer:

0.7

Step-by-step explanation:

Carrie and nine of her friends go out to dinner. The total bill comes to $191.10. They decide to (I leave a 15% tip. Each person will contribute an equal amount to the total tip. Estimate what each person should contribute.
$19.00
$28.50
$1.90
$2.85​

Answers

Answer:

$2.85 per person

Step-by-step explanation:

$191.10 * 0.15 = $28.665 tip

total tip divide by 10 people

$28.665/10 = $2.85

Each person has to contribute $2.85 amount for the tip.

Given,

Total no. of person go out for dinner = carrie + her nine friends

                                                             = 1+9 = 10

Amount of the bill is = $191.10

Amount of tip is = 15% of the bill

                           = [tex]\frac{15 }{100}[/tex] × $  191.10

                           = 28.665

Total amount each person contribute an equal amount for tip is = [tex]\frac{28.665}{10}[/tex]

=$ 2.85

Each person contribute $2.85 amount for the tip.

For more information about ratio and proportion click the link given below.

https://brainly.com/question/25561616?referrer=searchResults

Marc wants to know if the mean age of the prison population in his city is less than 26 years. He obtains a random sample of 25 prisoners, and finds a mean age of 24.4 years and a standard deviation of 9.2 years. Ata significance level of 0.05, what is his conclusion?​

Answers

Answer:

gsgsbsbsbs

Step-by-step explanation:

yewhsgshdhhssjbs

Match each function with the expression representing Its Inverse function.
1. g(x)= -0.5 x
2. h(x)= 4 x
3. y= x - 4
4. f(x)= x/2
5. k(x) = x
6. p(x) = x+4​

Answers

Answer:

Step-by-step explanation:

1). g(x) = -0.5x

   Equation form of the given function is,

   y = -0.5x

 Interchange x and y,

  x = -0.5y

  Solve for y,

  y = [tex]-\frac{x}{0.5}[/tex]

  y = -2x

  Inverse function will be,

  [tex]g^{-1}x=-2x[/tex]

2). h(x) = 4x

   Equation form of the function will be,

   y = 4x

   Interchange x and y,

   x = 4y

   Solve for y,

   y = [tex]\frac{x}{4}[/tex]

   Inverse function will be,

   [tex]h^{-1}(x)=0.25x[/tex]

3). y = x - 4

    Interchange x and y,

    x = y - 4

    Solve for y,

    y = x + 4

    Therefore, inverse of the linear equation is,

    y = x + 4

4). f(x) = [tex]\frac{x}{2}[/tex]

    Equation form of the function will be,

    y = [tex]\frac{x}{2}[/tex]= x

     Interchange x and y,  

     x = [tex]\frac{y}{2}[/tex]

    Solve for y,

     y = 2x

     Therefore, inverse function will be,

     [tex]f^{-1}(x)=2x[/tex]

5). k(x) = x

     Equation form of the function will be,

     y = x

     Interchange x and y,

     x = y

     Solve for y,

     y = x

     Inverse of the function 'f' will be,

     [tex]k^{-1}(x) =x[/tex]

6). p(x) = x + 4

     Equation form of the function will be,

     y = x + 4

     Interchange x and y,

     x = y + 4

     Solve for y,

     y = x - 4

     Inverse of the function 'p' will be,

     [tex]p^{-1}(x)=x - 4[/tex]

Determine the range of the following relation.

Input output
-4 1
0 7
2 2
7 7


A
{2, 7}


B
{1, 2, 7}


C
{–4, 0, 2, 7}


D
{–4, 0, 1, 2, 7}

Answers

Answer:

The range of the relation is:

Range R = {1, 2, 7}

Therefore, option B is true.

Step-by-step explanation:

Given the relation

Input                  Output

-4                            1

0                             7

2                             2

7                             7

Determining the domain:

We know that the domain of relation consists of all the inputs or x-coordiantes of the ordered pairs.

Thus, the domain of the relation is:

Domain R = {-4, 0, 2, 7}

Determining the range:

We know that the range of relation consists of all the outputs or y-coordiantes of the ordered pairs.

Thus, the range of the relation is:

Range R = {1, 2, 7}

Please note that the duplicated elements in the domain or the range of the function are written only once.

Therefore, option B is true.

For a giveaway a local radio station is putting together goodie bags . The bags will include tickets and posters each bag will receive an equal share of 54 tickets and 36posters

Answers

Answer: There are 18 goodie bags, each with 3 tickets and 2 posters.

Step-by-step explanation:

Any help please I appreciate it if u lend a helping hand plzzzzz

Answers

X=7
So 86 is your angle

(The right one)

Which of the following are proportional A.4/9=8/13 B.4/9=11/16 C.4/9=8/18 D.4/9= 9/9

Answers

Answer:

C. 4/9 = 8/18

Step-by-step explanation:

Katie has $120 on her cafeteria card. Every time she orders a meal, $4.50 is deducted from the value on her card. The amount of money she has on her card, y dollars, is a function of the number of times she orders a meal from the cafeteria, x. How many meals has Katie ordered from the cafeteria if she has $70.50 left on her card?

Answers

Answer:

i think it's 11 meals have been ordered

According to Video Game Voters.org, 38% of all games sold in the U.S. would be purchased by women. Explain why is this a joint event?

Answers

Solution :

According to the question, as given by the Video Game Voters.org website, 38 percent of all the games that is sold in the United States would be purchased by the women.

Now this is considered as a joint event. This is because the above statement consists of two events.

1. Video games are sold in the United States.

2. Women purchased video games.

The above two events are working or happening at the same time. And 0.38 is the likelihood of the games to be sold in the U.S. and the games that is sold in U.S. are being purchased by the women.

-2(m+1) = 10, whats m?

Answers

-2(m+1) = 10

-2m+-2 = 10

-2m = 12

-m = 6

Answer: m = -6

Terri spent $4.75 on candy,
$1 on soda, and $8.20 on a
ticket. If Terri paid with a
$20 bill, how much money
did she have left

Answers

Answer:

Step-by-step explanation:

$4.75+1+$8.20= $13.95

$20.00 - $13.95 = $6.05

Answer:

$6.05

Step-by-step explanation:

candy - $4.75

soda - $1

ticket - $8.20

4.75 + 1 + 8.20

$13.95

bill - $20

20 - 13.95

$6.05

Find the 12th term in the following arithmetic sequence

Answers

it is going up by 5 so i believe your answer would be 57

Can someone help me

Answers

Answer: its

12 4

_

7

Step-by-step explanation:

Answer:

12 4/7

Step-by-step explanation:

5 1/7 + 7 3/7 =

= 5 + 1/7 + 7 + 3/7

= 5 + 7 + 1/7 + 3/7

= 12 4/7

Answer: 12 4/7

urgent NEED DONE NOW PLEASE

Answers

The answer to this question is a.

PLZ HELP I WILL GIVE BRAINLIST

Answers

Answer:

I'm sorry

Step-by-step explanation:

59 is the sum of 9 and raj’s score

Answers

Answer:

33

helpStep-by-step explanation:

Pls Help! Will mark brainliest!!!! 20 Points!!!!!

Answers

Answer:

I think x = 4

Step-by-step explanation:

x3 + -2x2 + -8x = 0

Reorder the terms:

-8x + -2x2 + x3 = 0

Solving

-8x + -2x2 + x3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x'.

x(-8 + -2x + x2) = 0

Factor a trinomial.

x((-2 + -1x)(4 + -1x)) = 0

Subproblem 1

Set the factor 'x' equal to zero and attempt to solve:

Simplifying

x = 0

Solving

x = 0

Move all terms containing x to the left, all other terms to the right.

Simplifying

x = 0

Subproblem 2

Set the factor '(-2 + -1x)' equal to zero and attempt to solve:

Simplifying

-2 + -1x = 0

Solving

-2 + -1x = 0

Move all terms containing x to the left, all other terms to the right.

Add '2' to each side of the equation.

-2 + 2 + -1x = 0 + 2

Combine like terms: -2 + 2 = 0

0 + -1x = 0 + 2

-1x = 0 + 2

Combine like terms: 0 + 2 = 2

-1x = 2

Divide each side by '-1'.

x = -2

Simplifying

x = -2

Subproblem 3

Set the factor '(4 + -1x)' equal to zero and attempt to solve:

Simplifying

4 + -1x = 0

Solving

4 + -1x = 0

Move all terms containing x to the left, all other terms to the right.

Add '-4' to each side of the equation.

4 + -4 + -1x = 0 + -4

Combine like terms: 4 + -4 = 0

0 + -1x = 0 + -4

-1x = 0 + -4

Combine like terms: 0 + -4 = -4

-1x = -4

Divide each side by '-1'.

x = 4

Simplifying

x = 4

I believe the answer would be x=4
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