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

which of the following is a multiple of 2

A. 2461
B. 1000
C. 75
D. 847


the answer is B. 2*500

Answers

1000

This is the answer

Step-by-step explanation:

Because it has 0 at the last

and 0 is divisible by 2

The only number that is a multiple of 2 among the given options is B. 1000.

To determine which of the given numbers is a multiple of 2, we need to check if the number is divisible by 2 without leaving a remainder. In other words, if a number is even, it is divisible by 2.

Let's examine each option:

A. 2461: This number is not divisible by 2 since it ends in 1, which makes it an odd number.

B. 1000: This number is divisible by 2 because it ends in 0. Even numbers always end in 0, 2, 4, 6, or 8.

C. 75: This number is not divisible by 2 because it ends in 5, which is an odd number.

D. 847: This number is not divisible by 2 since it ends in 7, which makes it an odd number.

Therefore, the only number that is a multiple of 2 among the given options is B. 1000. It is divisible by 2 and is an even number.

Knowing whether a number is a multiple of 2 is important in various mathematical and computational operations, such as determining divisibility, performing parity checks, and optimizing algorithms that involve even numbers.

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A store sells 5 T-shirts for $48.05. What is the unit cost per T-shirt?

Answers

Answer:

$9.61 per shirt

Step-by-step explanation:

You take the total cost of $48.05 and divide it by the number of t-shirts which is 5.

48.05/5 = 9.61

3a) A box contains trays of melons, There are 15 melons in a tray. There are 3 trays in a box. A supermarket sells 40 boxes of melons. How many melons does the supermarket sell?​

Answers

Answer:

1,800

Step-by-step explanation:

15 x 3 x 40 = 1,800

( A box)

Which linear equation would produce a y-intercept of (0,-7) and a slope of 5?

Answers

Answer: y=5x-7

Hope this helps! :)

The average of 5 consecutive whole numbers is 2021. What is the average of the first 3 of these numbers? please help me

Answers

Answer:

2020

Step-by-step explanation:

if it is 5 consecutive numbers, it means it needs to be 2019, 2020, 2021, 2022, 2023

it is the number in the middle.

for the first 3 numbers, it is 2019, 2020, 2021

the middle number is 2020

What is the coefficient in this expression?

3/4mn

4

n

34

3

Answers

Since it is the term that multiplies the variables, the coefficient is of [tex]\frac{3}{4}[/tex].

In an algebraic expression, the coefficient is the term that multiplies the variables.

In this problem, the expression is:

[tex]\frac{3}{4}mn[/tex]

The variables are m and n.They are multiplied by [tex]\frac{3}{4}[/tex]

Hence, the coefficient is of [tex]\frac{3}{4}[/tex].

A similar problem is given at https://brainly.com/question/24417465

Please take a look at the picture

Answers

Answer:

x=-22.42

Step-by-step explanation:

-18.43=3.99+x

Move the variable to the left-hand side and move the constant to the right. Change their signs.

-x=3.99+18.43

Add.

-x=22.42

Change the signs on both sides of the equation.

x=-22.42

Hope this helps :)

Cute Castle Toy Store is having its annual holiday sale, when every toy in the store gets
marked down. During the sale, Ted purchases 4 Mighty Muscle action figures to add to his
collection, each at $3 less than full price. Ted pays a total of $92. How much does each
Mighty Muscle action figure cost at full price?

Answers

Each Mighty Muscle action figure cost $26 at full price.

Let x represent the cost of Mighty Muscle action figure at full price.

He bought 4 Mighty Muscle action at $92, hence:

4(x - 3) = 92

Simplifying the parenthesis:

4x - 12 = 92

Add 12 to both sides:

4x - 12 + 12 = 92 + 12

4x = 104

Dividing both sides by 4:

4x/4 = 104/4

x = 26

Therefore, each  Mighty Muscle action figure cost $26 at full price

Find out more at: https://brainly.com/question/15036999

can someone plz help with this

Answers

Answer:

What is it we should help you with

Answer: A) 30

-hope this helps

f(x) =2^x−4
g(x) = 5/x

evaluate g(f(2))=

Answers

Answer:

not possible

Step-by-step explanation:

f(2)=2^2-4=0

g(f(2))=5/0 it's not possible

Josie calculated 1/5+2/7 and said the answer was 2/7 explain how you know that Josie's answer dose not make sense​

Answers

[tex]\stackrel{\textit{something added to it}}{\boxed{\cfrac{}{} \qquad }+\cfrac{2}{7}}\implies \stackrel{\textit{will be greater than }\frac{2}{7}}{\cfrac{2}{7}+\textit{that something}}[/tex]

im giving brainliest to who ever needs it

Answers

Answer:

heck ya

Step-by-step explanation:

Hey, thanks for doing this.

PLEASE HELP! Economics

Answers

100 francs = 50 dollars

Exchange rate = 50/100

= 1/2

= 0.50 dollars per franc (C)

Note :-

It's dollars per franc because here the dollar has more value.

______

RainbowSalt2222 ☔

Answer:

Im pretty sure it is c

Step-by-step explanation:

An interior designer hangs canvas paintings along a hallway. If the interior designer uses canvas paintings with length measuring
9
inches and places them side by side along the hallway that has a length of
24
feet, how many paintings does the designer hang?

Answers

The number of paintings the designer can hang is 32.

In order to determine how many paintings the painter can hang, the length of the hallway would be divided by the length of the paintings.

Number of paintings = length of hallway / length of paintings

The unit of measurement of the hallway and the paintings have to be the same length,

1 foot = 12 inches

24 feet x 12 = 288 inches

Number of paintings = 288 / 9 = 32 paintings

To learn more about division, please check: https://brainly.com/question/194007

Can someone please me help

Answers

Answer:

Step-by-step explanation:

the answer is 1.1324

geometry help on 34 please

Answers

Answer:

x=112, y=28, z=22

Step-by-step explanation:

68°+4y°=180° (adj angles on a str line)

4y=180-68

=112

y=112÷4

=28

x°+68°=180° (int angles)

x=180-68

=112

(5z+2)°=x° (corr angles)

5z+2=x

5z+2=112

5z=112-2

=110

z=110÷5

=22

how do I solve this?

Answers

Its g is increasing

I guess you could just plug in 0, 1 and -1 and graph it.

if u help me ill give u brainliest​

Answers

Answer:

150000000

Step-by-step explanation:

30x5000000=150000000

A box of pens cost $6.50 and a box of pencils is $4.00. Jane gets 15% commission of each box of pencils sold. Calculate Jane's commission if sells 20 boxes​

Answers

Answer:

  $12

Step-by-step explanation:

Jane's commission is the product of sales and her rate.

  commission = (20)($4.00)(0.15) = $12.00

Jane's commission is $12.00 if she sells 20 boxes of pencils.

ABCD is a parallelogram.the length of AB is 15 what is the the length of CD

Answers

rhombus opposite sides are equal.

So, CD = 15

The number of eggs Mia can sell varies directly with the number of chickens she owns. The more hens she owns, the more
eggs she can sell. If she has 38 eggs each week when she owns 6 chickens, then how many eggs will she get if she has 15
chickens?

Answers

answer:
if she has 6 chickens and she sells 38 per week. you need to do (38 divided by 6) which would equal to 6.3 recurring (6.33333’) so now you’ve found out that one chicken is equivalent to 6.3333’ eggs you do (6.3333333x15) which is equal to 95

hope it helps

If there are 15 chickens. Then the number of eggs will be 95.

What are ratio and proportion?

A ratio is a group of sequentially ordered numbers a and b expressed as a/b, where b is never equal to zero. When two objects are equal, a statement is said to be proportional.

The number of hens Mia has directly affected how many eggs she can sell. She can sell more eggs if she has more chickens. If she has 6 hens and produces 38 eggs every week.

Let the number of eggs be x. Then the equation is written as,

x / 15 = 38 / 6

x = 95

If there are 15 chickens. Then the number of eggs will be 95.

More about the ratio and the proportion link is given below.

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What is the probability of rolling a number greater than 7 on a 6-sided die rolled

Answers

0/6 is the answer! I’m so sorry if it’s wrong.

can someone heelp me plz

Answers

Answer:

1052 is MLII, 450 is CDL, 952 is CMLII, and 942 is CMXLII.

Step-by-step explanation:

For 1052, M=1000 L=50 and II= 2 and if you add all those you get 1052. For 450, CD=400 and L=50 and if you add all those up then you get 450. For 952, CM=900 L=50 and II=2 and if you add all those up then you get 952. For 942, CM=900 XL=40 and II=2, and if you add all those up then you get 942.

2 numbers that round to 70. The sum of the two numbers is 136

Answers

Answer:

68 and 68

Step-by-step explanation:

hope this helps

A canoe travels 8 miles per hour downstream and 2 miles per hour upstream.
Let x represent the canoe's speed with no water current (still water) and y
represent the speed of the water current, in miles per hour. Then the situation
can be represented by this system of equations:
X+ y = 8
x - y = 2
Choose the two correct options.
A. The speed of the canoe in still water is 3 miles per hour.
B. The speed of the water current is 5 miles per hour.
C. The speed of the water current is 3 miles per hour.
D. The speed of the canoe in still water is 5 miles per hour.

Answers

Answer:

D

Step-by-step explanation:

I know this is super late and you probably don't need this, but for anyone who needs it, here is the answer!
Answer:

D and C

Step-by-step explanation:

We are doing the elimination method. We are subtracting so we can eliminate the x variable
 x + y = 8
- (x - y = 2)
---------------------
0x + 2y = 6
(0x is there just to show that x is eliminated but the equation is now just 2y = 6)
now solve for y (divide 2 on both sides)
y = 3

Now we can use Y to find x. Use any equation (either x + y = 8 or x - y = 2) and then plug in the y value.

x - 3 = 2.

Add 3 on both sides and you get
x = 5

Now! From the question we see that x is canoe speed and y is water current speed. And since x is 5 and y is 3, the answer is D and C since the water current is 3 and canoe speed is 5. Hope this helps!!

Find an expression that gives you a quotient
of 16

Answers

Answer: Does 32/2 work it equals 16  

Step-by-step explanation:

The number expression would be 32/2 which gives 16 after applying the arithmetic operation.

What is an arithmetic operation?

It is defined as the operation in which we do the addition of numbers, subtraction, multiplication, and division. It has a basic four operators that is +, -, ×, and ÷.

It is given that:

The quotient is 16

Let us assume 32 and 2 are the numbers that can be use in the number expression

The number expression is:

= 32/2

= 16

Thus, the number expression would be 32/2 which gives 16 after applying the arithmetic operation.

Learn more about the arithmetic operation here:

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-4√-32

answer it please ok thanks

Answers

Answer:

Step-by-step explanation:

4 √(-32) =

22.627417

20% of 50. Mathmethics

Answers

Answer:

1000%

Step-by-step explanation:

just multiply both

brainliest pls

Answer:

10

Step-by-step explanation:

 20 x 50

    100  

         

La probabilidad de que julio salga con carla es 0.75 , y la probabilidad de que salga con marisol es de 0.50. Si la probabilidad de que salga con carla o marisol es 0.85; calcular la probabilidad de que salga con ambas a la vez

Answers

La probabilidad de que Julio salga con Marisol y Carla al mismo tiempo es 0.40

What is the addition rule of probability for two events?

For two events A and B, we have:

Probability that event A or B occurs = Probability that event A occurs + Probability that event B occurs - Probability that both the event A and B occur simultaneously.

This can be written symbolically as:

[tex]P(A \cup B) = P(A) + P(B) - P(A \cap B)[/tex]

Given that;

The probability that Julio goes out with Carla is 0.75, and

the probability that he goes out with Marisol is 0.50.

The probability that he goes out with Carla or Marisol is 0.85

To find:

The probability that he will date both at the same time.

Let we take:

A = event that Julio goes with Carla

B = event that Julio goes with Marisol, then, the given expression is symbolically represented as:

[tex]P(A) = 0.75\\[/tex][tex]P(B) = 0.50[/tex][tex]P(A \cup B) = 0.85[/tex]

To find: [tex]P(A \cap B)\\[/tex]

Using the addition rule, we get:

[tex]P(A \cup B) = P(A) + P(B) - P(A \cap B)\\0.85 = 0.75 + 0.50 - P(A \cap B)\\P(A \cap B) = 1.25 - 0.85 = 0.40[/tex]

Thus, the probability that Julio will date Marisol and Carla at the same time is 0.40

Learn more about probability here:

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The probability that Julio will date Marisol and Carla at the same time is 0.40.

Here, we have, For two events A and B, we have:

Probability that event A or B occurs = Probability that event A occurs + Probability that event B occurs - Probability that both the event A and B occur simultaneously.

This can be written symbolically as:

P(A ∪ B) = P(A) + P(B) - P(A ∩ B)

Given that;

The probability that Julio goes out with Carla is 0.75, and

the probability that he goes out with Marisol is 0.50.

The probability that he goes out with Carla or Marisol is 0.85

To find:

The probability that he will date both at the same time.

Let we take:

A = event that Julio goes with Carla

B = event that Julio goes with Marisol, then, the given expression is symbolically represented as:

P(A) = 0.75

P(B) = 0.50

P(A∪B)= 0.85

To find: P(A ∩ B)

Using the addition rule, we get:

P(A ∪ B) = P(A) + P(B) - P(A ∩ B)

0.85 = 0.75 + 0.50 - P(A ∩ B)

P(A ∩ B) = 0.40

Thus, the probability that Julio will date Marisol and Carla at the same time is 0.40.

Learn more about probability here:

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complete question:

The probability that Julio dates Carla is 0.75, and the probability that he dates Marisol is 0.50. If the probability that he goes out with carla or marisol is 0.85; Calculate the probability that he will date both at the same time.

how to find the circumference with a radius​

Answers

Answer:

The perimeter or circumference of the circle can be found using the equation C=2π(r), where r= the radius of the circle. Since we have two semi-circles we can find the circumference of one whole circle with a radius of 4, which would be 8π.

Answer:

the circumference is pi*diameter. diameter is radius*2, and so (radius*2)*pi is the circumference

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