If y varies directly as the cube of x, and y=
54 when x = 3, find y when x= 5.​

Answers

Answer 1

Answer:

250

Step-by-step explanation:

From the question given above,

y varies directly as the cube of x. This can be written as

y ∝ x³

y = Kx³

Next, we shall determine the value of the constant (K) as follow:

y = 54

x = 3

K =?

y = Kx³

54 = K × 3³

54 = K × 27

Divide both side by 27

K = 54/72

K = 2

Finally, we shall determine the value of y when x is 5.​ This can be obtained as follow:

x = 5

K = 2

y =?

y = Kx³

y = 2 × 5³

y = 2 × 125

y = 250

Therefore, the value of y is 250


Related Questions

HELP ASAP! What are the slope and y-intercept of the linear function that is represented by the table?
A. The slope ls -2, and the y-intercept is 6.
B. The slope ls -2, and the y-intercept is 12.
C. The slope is 2, and the y-intercept is 6.
D. The slope is 2, and the y-intercept is 12.​

Answers

Answer:

A

Step-by-step explanation:

Answer:

Step-by-step explanation:

Use two points and find slope initially so,

(-3,18) (0,12)

18-12=6   ,  -3-0= -3

so the slope is 6/-3 = -2 so by this answer is either a or b .

further apply y =mx + c as it linear to find c

y= -2x + c

0 = -2x6 + c

c = 12

so slope is -2 , c is 12

A company weighs 1,096 boxes of cereal and finds that 12.5% of them weighed less than one pound. Which of
the following is the number of boxes that weighed less than one pound?

Answers

Answer:

500

Step-by-step explanation:


a) ¿Cuántas décadas han transcurrido desde 1917 hasta 2020

Answers

Han transcurrido 103 décadas

how many 2/3 size pieces are in 4 wholes ​

Answers

Answer:

3rd

Step-by-step explanation:

the 3rd makes 1 whole

Answer : 6

Step-by-step explanation:

Change 4/(2/3) to 4(3)/2.
4 x 3 = 12
12/2 = 6
So the answer is 6

Susan has a piggy bank with 28 coins in it, all dimes and quarters. She has been collecting state quarters and so far has no repeats. If the piggy bank has $5.50. how many more quarters does Susan need before she has a quarter from each of the 50 states?
HELP I WILL GIVE POINTS AND BRAINLIEST​

Answers

Answer:

She needs 32 quarters.

Step-by-step explanation:

d = dime   q = quarters

d + q = 28   so    d = 28-q

0.1d + 0.25q = 5.50

0.10 * (28-q) + 0.25q = 5.50

2.80 - 0.10q + 0.25q = 5.50

0.15q = 5.50 - 2.80

0.15q = 2.70

q = 2.70 / 0.15

q = 18 quarters (she has)

50-18= 32 quarters (she needs)

What’s the product of (23-8c) - (5c-1)

Answers

Answer:

[tex]40c^{2}[/tex] -123c + 23

Step-by-step explanation:

1. First you need to distribute the negative sign to the second binomial

(23 - 8c) - (5c - 1)

(23 - 8c) (-5c + 1)

2. Distribute each term in the first binomial to each term in the second binomial, FOIL (first, outer, inner, last)

(23 - 8c) (-5c + 1)

-115c + 23 + [tex]40c^{2}[/tex] -8c

3. Combine the like terms

-115c + 23 + [tex]40c^{2}[/tex] -8c

[tex]40c^{2}[/tex] -123c + 23

hope this helps!

Hi can you please tell me the answe to this question its due in a few mins. Thank you so much!!​

Answers

Answer:

LNO I BELIEVE

Step-by-step explanation:

IT MAKES THE SAME SHAPE THAT NMO MAKES

Shana, who lives in Canada, and Pearl, who lives in Pennsylvania, were discussing the weather. Shana complained about the cold temperature of Negative 20 degrees Celsius. Pearl, who lives in Pennsylvania, mentioned that her temperature was the opposite of Shana’s. Which is the correct way to represent “the opposite of Shana’s temperature is equal to Pearl’s”? Negative 20 = 20 Negative (negative 20) = negative 20 Negative (20) = negative 20 Negative (negative 20) = 20

Answers

Answer:

the answer is -20 =20

Step-by-step explanation:

the opposite of 20 is -20

Answer:

im going to edit it when i finish the quiz

Step-by-step explanation:

Ok this is the edit and the person above me is wrong  so i think it would be     - ( -20) = 20 or D

a bike wheel radius has a radius of 23 inches and a circumference of 144 inches. what is the diameter​

Answers

Answer:

Diameter is 11.5 inches

Step-by-step explanation:

Answer: 46

Explanation:

Diameter = 2 x radius

And radius = 23 inches

=> D = 2 x 23 = 46 inches

If 13 - 3z= 15z +4, z = ?

Answers

Answer:

z = 1/2 or 0.5

Step-by-step explanation:

13 - 3z = 15z + 4

   +3z    +3z

  13 = 18z + 4

  -4            -4  

      9 = 18z

      z = 9/18

      z = 1/2 or 0.5

mickey is typing in the computer lab and typing at 23 words per minute if he types for 11 minutes how many words does he type

Answers

Answer:

253 wpm

Step-by-step explanation:

23*11 which is 253.

Hope this helps plz mark brainliest :D

Answer is :253

Please mark me as Brainliest ......

In a study of the causes of death, it was found that 52% of all Americans die from heart disease. Find the probability that in a group of 500 randomly selected Americans, at least 275 die from heart disease.

Answers

Answer:

55%

Step-by-step explanation:

100/500=0.2

0.2 x 275= 55

55%

6 and 5 hundredths written in decimal

Answers

Answer:6.05

Step-by-step explanation:

6 is the ones place. 0 is the tenths place. 5 is the hundredths place.

what number should be added to 1253 to get 3000​

Answers

1847..............................

Answer:

1747

Step-by-step explanation:

3000 - 1253 = 1747

Therefore 1747 should be added to 1253 to get 3000.

Raise to the power:
c
(–3y)4

Answers

Answer:

3^4 x y^4

Step-by-step explanation:

Select the correct answer.
It is 170 miles from Bruce's house to the city where his brother lives. On his last trip to visit his brother, he drove for 2 hours at 55 miles per
hour. Then he came to some very bad road construction. The rest of the trip took 2 hours. How many miles per hour did Bruce drive for the rest
of the trip?
Va

Answers

Answer:

He drove the rest of the trip at 30 miles per hour

Step-by-step explanation:

The rule of the distance is D = v × t, where

v is the speedt is the time

∵ It is 170 miles from Bruce's house to the city where his brother lives

D = 170 miles

∵ He drove for 2 hours at 55 miles per  hour

t1 = 2 hours and v1 = 55 miles/hour

→ By using the rule above find the distance of this part of his trip

D1 = 55 × 2 = 110 miles

∵ The rest of the trip took 2 hours

t2 = 2 hours

∵ D = D1 + D2

→ Substitute the values of D and D1 to find D2

170 = 110 + D2

→ Subtract 110 from both sides to find D2

∴ 60 = D2

D2 = 170 - 110 = 60 miles

∵ The rest of the trip is 60 miles

∵ It took 2 hours

D2 = v2 × t2

∴ 60 = v2 × 2

→ Divide both sides by 2

∴ 30 = v2

v2 = 30 miles/hour

He drove the rest of the trip at 30 miles per hour

A. It is a function, but it is not one-to-one.

B. It is a many-to-one function.

C. It is not a function

D. It one-to-one function

Answers

I think it is C
Hope this help

Answer:

it is a one-to-one function

Step-by-step explanation:

it passes the horizantal line test

5. Which equation is an open sentence?
A 3(x) = 12
B 12 = 4(2) + 3
C 7 +5 = 2
D 6(2) = 12
ay

Answers

Answer:

a

Step-by-step explanation:

there is an unknown thingy which is x


Chuck and Blaire decided to share a 10
ounce bag of candy. They ate of the
bag. How many ounces of candy did
they eat?




Pls help me!

Answers

Answer:

A. 7 1/6

Step-by-step explanation:

10 3/4 * 2/3=

43/4 * 2/3= 86/12

86/12 = 7 2/12 = 7 1/6

Suzy wants a triangular sandbox. Her dad makes a sandbox/triangle out of boards that are 9 ft, 12 ft, and
15 ft. Does Suzy's sandbox make a right triangle?
O True
O False

Answers

True I just got the answer right

What is the slope of this line? Plz

Answers

Answer:

-2

Step-by-step explanation:

Answer:The slope is -2Hope this helps!!

There are 36 carpenters in a crew. On a certain day, 18 were present. What percent of the crew was present?

Answers

Answer:

On this day, 1/2, or 50%, of the crew was present.

Step-by-step explanation:

Simplify: 18/36 = 1/2

I hope this was helpful to you! If it was, please consider rating, pressing thanks, and marking my answer as Brainliest. Have a great day!

The amount of gasoline G sold each month to customers at Bob's Exxon station in downtown Navasota is a random variable. This random variable G can be described as having a normal distribution with mean 2500 gallons and a standard deviation of 250 gallons (and there is no seasonal variation in sales). Exxon will give Bob an all-expense paid trip to College Station, including a free dinner at Burger King, if his station pumps more than 3000 gallons in any one month.


Required:

What is the probability that Bob will win that wonderful trip on the basis of his gasoline sales this month?

Answers

Answer:

The probability is [tex]0.0228[/tex]

Step-by-step explanation:

Let's start by defining the random variable [tex]G[/tex] as :

[tex]G:[/tex] '' The amount of gasoline sold each month to customers at Bob's Exxon station in downtown Navasota ''

Therefore, if [tex]X[/tex] is a continuous random variable that has a normal distribution, we write [tex]X[/tex] ~ [tex]N[/tex] ( μ , σ )

Where ''μ'' is the mean and ''σ'' is the standard deviation.

For the random variable [tex]G[/tex] we write :

[tex]G[/tex] ~ [tex]N(2500,250)[/tex]

We need to find [tex]P(G>3000)[/tex]

In order to calculate this, we are going to standardize the variable. This means, finding the equivalent probability in a normal random variable

[tex]Z[/tex] ~ [tex]N(0,1)[/tex]

We perform this because the random variable [tex]Z[/tex] ~ [tex]N(0,1)[/tex] is tabulated in any book or either you can find the table on Internet.

To standardize the variable we need to subtract the mean and then divide by the standard deviation ⇒

[tex]P(G>3000)[/tex] ⇒ P[ (G - μ) / σ > [tex]\frac{3000-2500}{250}[/tex] ] ⇒ [tex]P(Z>2)[/tex]

Because (G - μ) / σ  ~ [tex]Z[/tex]

Finally, [tex]P(G>3000)=P(Z>2)[/tex] ⇒ [tex]P(Z>2)=1-P(Z\leq 2)[/tex] = 1 - Φ(2)

Where '' Ф(x) = [tex]P(X\leq x)[/tex] '' represents the cumulative function of [tex]Z[/tex]

Looking for  Φ(2) in any table,

[tex]P(G>3000)=P(Z>2)=1-P(Z\leq 2)=1-0.9772=0.0228[/tex] ≅ %2.28

We found out that the probability is [tex]0.0228[/tex]

Helopppppp pleaseeeeeee

Answers

THE WORKKK AND ANSWER ( Brainliest Answer Will be appreciated:D)

Answer:

x=2, x=1/2, x=-2/3

Step-by-step explanation:

First factor and get (x-2)(2x-1)(3x+2)=0

Then you set each of these parentheses individually equal to 0. x-2=0, 2x-1=0, 3x+2=0. Then you just simplify these to get your final answer that I showed above.

Suppose you scored 95 on a measure where the mean was 110 and the standard deviation was 15. Assuming a normal distribution, what percentage of scores should fall between your score and the mean?

Answers

Answer:

34% of scores should fall between your score and the mean.

Step-by-step explanation:

Let X denote the score.

It is provided that X follows a normal distribution with mean 110 and standard deviation 15.

A students score, x = 95.

Compute the probability of scores that should fall between the student's score and the mean as follows:

[tex]P(95<X<110)=P(\frac{95-110}{15}<\frac{X-\mu}{\sigma}<\frac{110-110}{15})[/tex]

                            [tex]=P(-1<Z<0)\\\\=P(Z<0)-P(Z<-1)\\\\=0.50-0.15866\\\\=0.34134\\\\\approx 0.34[/tex]

Thus, 34% of scores should fall between your score and the mean.

please hurry need help now

What is the solution to Ex- 3? 25 Ox> 18 25 Ox>2 O x​

Answers

Answer: c, but I’m not totally sure

Step-by-step explanation:

$3.29 for 9.25 ounces


How much is it per ounce?

Answers

Answer:

About $0.36 per ounce

Step-by-step explanation:

Set up a proportion.

Let p = price per ounce

3.29/p = 9.25 ounces/(1 ounce)

9.25p = 3.29

p = 3.29 ÷ 9.25

p = 0.3556756757

We can say 35 cents per ounce or 36 cents per ounce if rounded to 2 decimal places.

what is the length of BC

Answers

Answer:

17

Step-by-step explanation:

this is an isosceles triangle so AB = AC

2x-8 = x + 9

x -8 = 9

x = 17

so CB = 17

Kevin has four apples in a boat each apple weighs 60 G and the empty bowl weighs 40 grams what is the total weight of the four apples with the bow

Answers

9514 1404 393

Answer:

  280 g

Step-by-step explanation:

The total weight is the sum of the weights of the objects:

 total = bowl + apple + apple + apple + apple

We use multiplication to simplify repeated sums:

  total = bowl + 4 × apple

  total = (40 g) + 4 × (60 g) = 40g + 240 g

  total = 280 g

The bowl and 4 apples weighs 280 grams.

Find the value of 5a2−2a−10 if a=−6

ANSWER FOR BRAINLIEST

Answers

Hi there!

[tex]\large\boxed{182}[/tex]

Equation:

5a² - 2a - 10 for a = -6.

Evaluate by plugging in -6 for a:

5(-6)² - 2(-6) - 10 =

5(36) - (-12) - 10 =

180 + 12 - 10 = 182.

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