27 solid iron spheres, each of radius 'xcm'ate melted to form a sphere with radius 'ycm',find the ratio x:y​

Answers

Answer 1

Answer:3:1

Step-by-step explanation:

Given

There are 27 solid spheres of  radius x cm

The volume of a sphere is [tex]\frac{4}{3}\pi r^3[/tex]

The volume of 27 old spheres is the same as the volume of a new sphere

The volume of the old spheres is

[tex]V_o=\dfrac{4}{3}\pi x^3[/tex]

The volume of a new sphere is

[tex]V_n=\dfrac{4}{3}\pi y^3[/tex]

Now,[tex]V_o=V_n[/tex]

[tex]\Rightarrow 27\times \dfrac{4}{3}\pi x^3=\dfrac{4}{3}\pi y^3\\\\\Rightarrow (\dfrac{x}{y})^3=27\\\\\Rightarrow \dfrac{x}{y}=3[/tex]


Related Questions

Brian is ordering T-shirts for the chess team. The team's budget for clothing is at most $60.
Each T-shirt costs $12. Brian wants to know the number of T-shirts he can order.

Answers

Brian can order 5 t-shirts for the chess team.

Explanation:

The question is basically asking you how many times can 12 fit in 60 without going over. To find the answer, divide 60 by 12, and you’ll get 5. Therefore, Brian can order 5 t-shirts.

Step-by-step explanation:

given req.

teamps budget $60 the no of t-shirt he can buy

cost if one T-shirt $12

soln

$60/$12=5

Hector buys batteries for his Gameboy. He knows that
3 packs of batteries cost $4.26. How much should
Hector expect to pay for 5 packs of batteries?

Answers

The answer for 5 pack of batter is 7.10

If the sample probability of an individual traveling to the statue is 25%, the number of trials is and the number of successful trials is . The probability that exactly 7 out of 10 individuals will visit the Statue of Liberty is .

Answers

Answer:

0.0031 = 0.31% probability that exactly 7 out of 10 individuals will visit the Statue of Liberty

Step-by-step explanation:

For each individual, there are only two possible outcomes. Either they visit the Statue of the Liberty, or they do not. The probability of an individual visiting the statue is independent of any other individual. This means that the binomial probability distribution is used to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

And p is the probability of X happening.

The sample probability of an individual traveling to the statue is 25%

This means that [tex]p = 0.25[/tex]

The probability that exactly 7 out of 10 individuals will visit the Statue of Liberty is

This is [tex]P(X = 7)[/tex] when [tex]n = 10[/tex]. So

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = 7) = C_{10,7}.(0.25)^{7}.(0.75)^{3} = 0.0031[/tex]

0.0031 = 0.31% probability that exactly 7 out of 10 individuals will visit the Statue of Liberty

(Constructed Response) Factor. 3x² - 4x - 7

Answers

Answer:

::::::::::

(x + 1) (3x - 7)

answer and show proof for brainliest

Answers

Answer:

12

Step-by-step explanation:

Add each number given = 132

132 / 6 (amount of given numbers)

=12

1. add all value together: 24+31+12+38+12+15= 132

2. divide answer by amount of numbers added together: 132/6=22

3. Answer: the mean is 22

Find the value of x plssssssss

Answers

Answer:

150 degrees

Step-by-step explanation:

Hi,

Since one of the angles is 30 degrees and this is a line, we know that 30 + u must equal 180 degrees.

30 + u = 180

Subtract 30 from 180 to find the value of u.

u is 150 degrees.

I hope this helps :)

Answer: 150 degrees

Step-by-step explanation:

A line is 180 degrees in total, since that acute angle is 30 degrees you just subtract 30 from 180, which gives you the other side ( which has to equal 180) of 150 degrees. If it were 40 degrees ( instead of 30) it would be 140 degrees on the other side.... etc

What is the slope of the line that passes through the points (-3, 1)(−3,1) and (7, -14) ?(7,−14)?

Answers

Answer: The answer for both is infinity. You might want to recheck the question as it is not very common but if the question is correct this is the answer to it:

Step-by-step explanation:

1. Using the formula m = y2 - y1 / x2 - x1

m = 1 - 1 / -3 -(-3)

m = 0/0

m = infinity

2. Using the formula m = y2 - y1 / x2 - x1

m = -14-(-14) / 7-7

m = 0/0

m = infinity.

Exercises/Activities
Activity 1:
A. Tell whether the following represent a POINT, LINE O PLANE.
1 moon
9. stars at night
2 flagpole
10. bed surface
3 rooftop
11. holen
4 eyes
12. wire
5. playground
13. mole
6. string
14. hair strands
7 edge of door
15. TV screen
8. pimples

Answers

Answer:

Sorry but it's too hard to answer

Answer:

hiiiiiiiiiiiiiiiiiiii

Mario found 12 rocks for his rock collection. His sister found five times as many rocks as Mario. How many rocks did Mario’s sister find? *

Answers

Answer:

60 rocks

Step-by-step explanation:

12x5 = 60

Answer:

Step-by-step explanation:

marios sister found 60 rocks do 12x5.

An individual can win a prize by drawing the highest numbered card out of five cards. After each draw, the card is replaced and the cards are shuffled for another chance. If the prize is not won, the card is again replaced and mixed in with the other cards. If a prize is won, the highest card is replaced and the five cards are shuffled for a new game. If an individual makes seven draws, what is the probability the individual will win a prize exactly two times

Answers

Answer:

[tex]\frac{1}{25} =0.04[/tex] (Unusual)

Step-by-step explanation:

1/5 for one drawing

1/5 chance to win once, if there is only one game.

Then multiply them together to get 1/25.

If you need in decimal form 1/25 = 0.04 (unusual)

If an individual makes seven draws, what is the probability the individual will win a prize exactly two times is 0.2753

What is Permutation and Combination ?

A permutation is an act of arranging the objects or numbers in order.

Combinations are the way of selecting the objects or numbers from a group of objects or collection, in such a way that the order of the objects does not matter.

An individual can win a prize by drawing the highest numbered card out of five cards.

Given that an individual makes 7 draws

p = 1/5  =  0.2

q = 1-P =0 .5

5 times corresponds to B( 7 , 0.2)

P(x = 2) = 7 C₂ (0.7)² (0.8)⁵

= 21 * 0.04 * 0.3277

= 0.2753

Therefore If an individual makes seven draws, what is the probability the individual will win a prize exactly two times is 0.2753

To know more about Permutation and Combination

https://brainly.com/question/13387529

#SPJ2

Factor this expression. 3x² - 6x O A. 3x(x - 2) B. 3x(x2 - 2) O C. 3(x-2) D. 3072 - 2)​

Answers

The answer is A. 3x(x-2).

Answer:

A. 3x (x-2)

Step-by-step explanation:

Question:

To factorise

3x² - 6x

Solution:

3x² - 6x

[Taking common term out]

= (3x × x) - (3x × 2)

= 3x ( x - 2)

Result:

Hence, factorised answer of 3x² - 6x is 3x (x-2) (Ans)

CAN SOMEONE PLEASE TELL ME THE VALUE OF X, EQUATION, AND ANGLE MEASURES!!

Answers

Answer:

8x+10 = 12x - 18

28 = 4x

x = 7

Step-by-step explanation:

Betty correctly determined that the ordered pair (–3, 5) is a solution to the system of linear equations 6 x + 5 y = 7 and x + 4y = 17. Based on this information, which statement is correct?

Answers

Answer:

(-3, 5) satisfies both the equation 6x + 5y = 7 and the equation x + 4y = 17.

Answer:

D

Step-by-step explanation:

Brain ordered 3 large cheese pizzas and a salad. The salad cost $4.95. If he spent a total of 47.60 including the $5 tip, how much did each pizza cost? ( assume there is no tax)

Answers

Answer:

Each Pizza will cost $12.55

Step-by-step explanation:

we first going to subtract the following

$47.60 - 5 - 4.95 = $37.65

$37.65 / 3 (the number of pizza ) = $12.55

$12.55

Step-by-step explanation:

Amount spent on 3 pizzas= Total —( amount spent on salad + tip)

=460—(4.95+5)

= $37.65

cost of each pizza= 37.65÷3

= $12.55

I need the answer please and thank you worth 78 brainly points

Answers

Answer:

8+4pi

Step-by-step explanation:

2pi(r) = 8pi

8pi/2 = 4pi

8+4pi

Solve each following addition and subtraction problems. 82+25+92=

Answers

Answer:

199

Step-by-step explanation:

82+25=107

107+92= 199

Solve the following inequalities and give the solutions in both set and interval notations.

-2x + 5 < -x + 25

Answers

Answer:

x> -20

x= -19,-18,-17,-16,.....

Step-by-step explanation:

-2x + 5 < -x + 25

-2x + x < 25- 5

-x < 20

x> -20

x= -19,-18,-17,-16,......

6.632.512 what is the value 3

Answers

Answer: i don’t know you can search it up

Step-by-step explanation:

The value of three is 3.
And can I have Brainliest?

Find derivative y=x^3-3x+2 step by step

Answers

Answer:

mark me branlist plz

Step-by-step explanation:

3x^2-3 step 1 - 3(2)^2-3=9

step 2 x=2, y=(2)^3- 3(2)+4

(2,6)

step 3 y=mx+b

6=9(2) +b

b=-12

y=9x-12 yr welcome have a great day

Chris buys 5 apples for $2.60 .How much does one apple cost​

Answers

Answer:

.52¢

Step-by-step explanation:

One apple cost 52 cents. The expression below represents the cost of an apple.

5a =2.60

5a/5= 2.60/5

a =0.52

Answer:

Each apple costs $0.52.

Step-by-step explanation:

Christ spent a total of $2.60 for 5 apples. We want to find the cost of one apple.

To find this: total cost/total apples

2.60/5 = 0.52

Each apple costs $0.52.

Let's check our answer.

If one apples costs $0.52, 5 apples should cost 0.52 • 5

0.52 • 5 = 2.60

This is how much Christ spent; therefore your answer is correct.

Hope this helps!

how do i solve c =0.95,n=12

Answers

Answer:

c = [tex]\frac{19}{20}[/tex] n= 12

to listen 4.Rico used different units to measure this bulletin board. Which unit did he use the fewest of? A. inches listen B. all the same ta C. centimeters D. meters​

Answers

is there a table or something you can add because I cant tell anything with the information you gave.

use the figure above to determine the measure. What is the measure of angle ABC?
a. 21°
b. 42°
c. 66°
d. 84°

Answers

b. 42 because you divide it by 2

PLEASE HELP
Drag each expression to the correct location on the table.
Place each algebraic expressions next to its corresponding verbal description.
5.13
45
523 – 4 3
513
the difference of 5 times the cube of x cubed and
the quotient of 4 times x and 3
5 times the cube of x divided by 4 times x
the quotient of the difference of 5 times x cubed and 4 and x
the cube of the difference of 5 times x and 4

Answers

Answer:

(a)

x cubed is

=x^3=x3

5 times the cube of x is

=5x^3=5x3

4 times x is

=4x=4x

the quotient of 4 times x and 3 is

=\frac{4x}{3}=34x

so,

the difference of 5 times the cube of x cubed and the quotient of 4 times x and 3 is

=5x^3-\frac{4x}{3}=5x3−34x ..........Answer

(b)

5 times cube of x is

=5x^3=5x3

5 times cube of x divided by 4 times x is

=\frac{5x^3}{4x}=4x5x3 ..........Answer

(c)

difference of 5 times x cube and 4 is

=5x^3 -4=5x3−4

so,

the quotient of the difference of 5 times x cube and 4 and x is

=\frac{5x^3-4}{x}=x5x3−4 ...........Answer

(d)

difference of 5 times x and 4 is

=5x-4=5x−4

so,

the cube of the difference of 5 times x and 4 is is

=(5x-4)^3=(5x−4)3 ............Answer

Can anyone help with this?? I need this grade but I just don't get it. Joshua has a ladder that is 12.8 ft long. He wants to lean the ladder against a vertical wall so that the top of
the ladder is 11 ft above the ground. For safety reasons, he wants the angle the ladder makes with the ground
to be no greater than 75°. Will the ladder be safe at this height? Show your work and draw a diagram to
support your answer.

Answers

Answer:

Yes the ladder is safe because 59.25 degrees < 75 degrees

Step-by-step explanation:

In the below photos I have included a screenshot of the equation I used, which I got from another user, and my work with an unfinished diagram and completed equations to the side

question for math; 2m3n-4/p-6

Answers

Answer:

2m3np−6p−4p

Step-by-step explanation:

That is the answer

help, please will give Brainliest

Answers

9514 1404 393

Answer:

  A.  57 7/9 ft³

Step-by-step explanation:

The volume of a rectangular prism (cuboid) is the product of its dimensions.

  V = LWH

  V = (4 1/3 ft)(3 1/3 ft)(4 ft)

If you drop the fractions, this becomes ...

  V = (4 ft)(3 ft)(4 ft) = 48 ft³

You know the fractions add some amount to this, so you know the volume will be somewhat larger than 48 ft³. The only reasonable choice is A: 57 7/9 ft³.

__

If you feel the need to compute the volume exactly, you can do so using improper fractions.

  V = (13/3 ft)(10/3 ft)(4 ft) = 520/9 ft³ = 57 7/9 ft³

Which of these sets of numbers contains no rational numbers?
NEED ANSWER NOW!​

Answers

Answer:

the first option

Step-by-step explanation:

for a number to be rational, it should be able to be expressed as a fraction.  Non terminal decimals must have a repeating pattern. Square roots of random numbers aren’t rational. Just like the first rule with decimals, the third number cannot be expressed as a fraction

Answer:

Step-by-step explanation:

it’s the first one

Let f(x) = - 4x + 5. Find and simplify f(3a-4).
f(3a-4)=
(Simplify your answer.)

Answers

Answer:

-12a+21

Step-by-step explanation:

-4*(3a-4)+5

-12a+16+5

-12a+21

Pls correct answer pls fast will mark brainliest

Answers

Answer:

Step-by-step explanation:

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