Mathematics College

In a display at a museum, two planets have volumes of 8 cubic inches and 27 cubic
inches. What is the ratio of their diameters?
2:3
413.5
2:9
4:13.5

Answers

Answer 1

Answer:

2:3

Step-by-step explanation:

V = 4/3*pi*r^3

Diameter = 2r

Answer 2

The ratio of diameters of the two planets has volumes of 8 cubic inches and 27 cubic will be 2/3.

What is Ratio?

A ratio is defined as a relationship between two quantities, it is expressed as one divided by the other such that they should not be divisible.

The upper number is called as the numerator and the lower is called the denominator.

For example, 3/4 where 3 will be numerator and 4 will be denominator.

Given that the In a display at a museum, two planets have volumes of 8 cubic inches and 27 cubic.

Now volume of planets(sphere) = πD³/6 where D is diameter of sphere

So volume of first planet / volume of second planet ∝ (dia or first)³/(dia of second)³

⇒ V₁/V₂  ∝ (D₁/D₂)³

Given that V₁/V₂ = 8/27

So 8/27 =  (D₁/D₂)³

D₁/D₂ = 2/3

Hence, the ratio of diameters of two planets will be 2/3.

Learn more about Ratio here:

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Related Questions

You are buying shoes online. The selling price is $29.99. The sales tax is 6.5% What is the total cost? Round to the nearest penny, if necessary.

Answers

Answer:

$31.94

Step-by-step explanation:

29.99 x 0.065 = 1.95

29.99 + 1.95= 31.94 :)

Answer:

$31.94

Step-by-step explanation:

It costs $90 720 to stay in a
hotel for 7 days. How much does it
cost to stay for 3 days?​

Answers

If you find the cost to stay in the hotel for one day, then you can find the cost to stay for any amount of days. (The big assumption in the question is that the cost is constant and it’s value per day doesn’t change over time)

90720/7 = $12960/day which means it costs 3 times this for three days

So the answer is $38,880

Answer:

$38 880

Step-by-step explanation:

So for 7 days it costs $90 720

First we need to find what 1 day cost

So you will divide $90 720 by 7

90 720÷7= $12 960

To find the cost for 3 days your gonna multiply $12 960 by 3

12 960×3= $38 880

can you please help me with the question below

Answers

4! hope this helps :)

Write down the integer values satisfied by the diagram

Answers

Answer:

{0, 1, 2, 3}

Step-by-step explanation:

The diagram includes the interval:

(-1, 3]

The integer values in the given interval are:

{0, 1, 2, 3}

Express the relation in a table:(2,1),(4,5),(3,3),(1,(2)

Answers

9514 1404 393

Answer:

  see attached

Step-by-step explanation:

Once the data is entered into a spreadsheet, it is convenient to sort the table by the input values. The relation is unchanged, but it may be easier to work with that way.

The table is shown below.

4x+2y=16
3x+4y=17
i need help

Answers

Answer:

x = 3 , y = 2

Step-by-step explanation:

Can someone solve this?

Answers

Answer:

The answer is A.

Step-by-step explanation:

Because if you compare the two "y" section on both graphs you will notice that the "Speedy Delivery" charges way more than the "Lightning Delivery ."

Hope this helps ,have a good day.

Allen has a piece of wood that is 10.5 feet long. He decides to cut it into 3 equal pieces to repair his deck. How long should he cut each piece?

Answers

Answer:

3.5 feet

I think is right

A school sold tickets to a musical. The school received $6.50 per ticket sold.
Select the ordered pairs that represent possible combinations of the number of tickets sold and the corresponding total amount of money the school would have received from selling the tickets, if this relatioship was graphed on a Coordinate Plane.

Select all that apply.
A.) 0, 0.00
B.) 2, 13.00
C.) 4, 24.00
D.) 10, 65.00
E.) 12, 68.00

No links plz

Answers

Answer:

A B D

Step-by-step explanation:

Answer:

B and D

Step-by-step explanation:

hope this helps :))))

Can someone explain me this

Answers

Answer:

area of circle - area of hexagon

Step-by-step explanation:

Please help me with this ASAP ASAP please please help

Answers

Answer:

4ㅈr² is formula

so

4 × ㅈ× (16)²

= 1024ㅈ cm²

Miss Potter wants to send thank-you cards to 132 students. The cards are sold in packages of 30. How many packages does Miss Potter need to buy?

Answers

Answer:

The answer i got it 4.4

Step-by-step explanation:

Answer:

worng it is five

Step-by-step explanation:

sorry if you got it worng because I got it worng to from that answer and it said it is five

1 point
Every five years in March, the population of a certain town is recorded. In
1995, the town had a population of 4500 people. From 1995 to 2000, the
population increased by 15%. From 2000 to 2005, the population
decreased by 4%. What was the town's population in 2005? *
4527
4968
4995
5382

Answers

Answer:

So, the town had a population on 4,500 people in 1995. Then from 1995 to 2000, the population increased by 15%.

Convert 15% to a decimal by dividing it by 100. Then, the population in 1995 by this decimal.

15% ÷ 100 = 0.15

4,500 × 0.15 = 675

Now, add this to the population in 1995.

4,500 + 675 = 5,175

This means that the town had a population of 5,175 people in 2000.

To calculate the town's population in 2005, repeat the same steps we took to find the population in 2000, except this time we will subtract instead of add since the population DECREASED.

4% ÷ 100 = 0.4

5,175 × 0.4 = 207

5,175 - 207 = 4,968

FINAL ANSWER:

The town had a population of 4,968 in 2005.

Click to let others know, how helpful is it

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Step-by-step explanation:

What is the probability of choosing a king from a deck of cards? Type your answer as a fraction.

Answers

Answer:

4/52 or 1/13

Step-by-step explanation:

there are only 4 kings; diamond, Heart, Spades and Clubs.

4/52 because there is one king for every suit and only 4 kings total in the deck of 52!

Gino wants to leave at least 20% tip on his restaurant bill of $197.40. Approximately how much tip should he add to the bill?

Answers

So exactly it would be 39.48, but do you want me to round to a specific ten?

find the area of the triangle ​

Answers

Answer:

133

Step-by-step explanation:

14 times 19 is 266 divided by 2 is 133

Area of a triangle is 1/2 x base x height

Base is given as 19 ft and height is given as 14 ft

Area = 1/2 x 19 x 14 = 133 square ft

Is it True or false??

Answers

Answer:

I think it's false.

Step-by-step explanation:

Make frequency tables for the following data sets. Include columns for relative frequency. Also, make a bar graph for the frequency
Final grades of 30 students in a math class: AAAAAABBBBBBCCCCCCCCCCFFF

Answers

It’s 4 because I think so

Help please I’ll mark brainlist
I really needs help pls

Answers

Answer:

Step-by-step explanation:

base of 5   =  5 + 4 + 3 + 2 + 1 = 15

base of 10 =  [tex]n^{2}[/tex]/2 + n/2 = 100/2 + 10/2 = 55

formula  =   [tex]n^{2}[/tex]/2 + n/2

where n is the number of base boxes

Nancy uses her $10 allowance to buy a dress. She got $2 bills and 2quarters in change. what was the price of the dress???

Answers

Answer:cdjbskbbN

Step-by-step explanation:2 2/4

Answer:

$7.50

Step-by-step explanation:

10 - 2.50 = 7.50

Installment Loan
Principal
$1500.00
Term Length
4 years
How much of the first
payment for the
installment loan
6% shown in the table will
go towards interest?
Interest Rate
Monthly Payment
$35.00
A. $27.50
B. $7.50
C. $2.10
D. $32.90

Answers

The amount of the first payment that will go towards interest is $7.50.

The answer is B. $7.50.

To calculate the amount of the first payment that will go towards interest for an installment loan, we need to consider the principal, term length, and interest rate.

Given:

Principal: $1500.00

Term Length: 4 years

Interest Rate: 6%

Monthly Payment: $35.00

To find the amount of interest paid in the first payment, we'll first calculate the total interest paid over the entire term and then divide it by the number of payments.

Calculate the total interest paid over the term.

Total Interest = Principal × Interest Rate × Term Length

Total Interest = $1500.00 × 6% × 4 = $360.00

Divide the total interest by the number of payments.

Interest in the First Payment = Total Interest / Number of Payments

Interest in the First Payment = $360.00 / (4 years × 12 months per year)

Interest in the First Payment = $360.00 / 48

Interest in the First Payment = $7.50

Therefore, the amount of the first payment that will go towards interest is $7.50.

The answer is B. $7.50.

for such more question on interest

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what is the unit price of 12 cupcakes for 25 dollars​

Answers

Answer:

Unit price of 12 cupcakes for 25 dollars = 25/12

= 2.08 dollars

Answer:

The unit price would be $2.08 for a cupcake because if you divide 12 and 25, you would get 2.08.

Step-by-step explanation:

in an office building,92 offices are currently being rented. This represents 80% of the total units. How many offices are in the building?​

Answers

Answer:

Number of offices in the building = 115

Step-by-step explanation:

Let x be the total number of offices.

Then 80% x= 92 or 80/100 * x =92

Hence, x = 92*100/80 = 9200/80= 115

The terminal side of an angle in standard position passes through P(15,-8). What is the value of sin e?

Answers

The answer is B on multiple choice

Can someone help me with this, please!!!

Answers

Answer:

The answer is C

Step-by-step explanation:

Both triangles are very similar

someone help me pls before i cry okay okay

Answers

Answer:

22%

Step-by-step explanation:

First, determine the total: 2392 total surveys.

Next, determine the number of people who prefer Italian: 526

Solve:

526/2392 (This is will determine the percentage of people who prefer Italian food according to the pie chart)

= 0.2198...

Round

= 22%

Answer:

I'm going to say that it is 28% or 22%

Step-by-step explanation:

so they surveyed 2392 people and only 526 of them said that they would eat Italian food so you would do

2392- 526= 1866 then 526/1866=28%

but if that is wrong then you would just do

526/2392=22%

The figure is a ____.

1. Square

2. Rectangle

3. Triangle

The figure has _____ sides.

1. Three

2. Four

3. Five

The figure has the dimensions of _____.

1. Length, Width, and height

2. Length, Width, Base, and height

3. Length and Width

(also ignore my mouse)

Answers

The figure is a rectangle.

The figure has Four sides.

The figure has the dimensions of Length and Width.

Sorry if its wrong, I have bad memory

1. Rectangle
2. Four
3. Length, width, and height

What is a decimal that is equivalent to the fraction 44/100​

Answers

Answer:

0.44

Step-by-step explanation:

44/100 as a decimal is 0.44.

Hope this helped!!!

The decimal equivalent to the fraction 44/100 is 0.44.

We have,

To find a decimal equivalent to the fraction 44/100, we can simply divide the numerator (44) by the denominator (100):

44 ÷ 100 = 0.44

The concept used to find the decimal equivalent of a fraction is division.

By dividing the numerator by the denominator, we obtain the decimal representation of the fraction.

Therefore,

The decimal equivalent to the fraction 44/100 is 0.44.

Learn more about expressions here:

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Least to greatest - 1.8 , 1 , 1 2/5 , 1 9/10 , -1.25

Answers

Answer:

-1.25, 1, 1 2/5, 1.8, 1 9/10

Step-by-step explanation:

Answer:

-1.25, 1, 1 2/5, 1.8, 1 9/10

Step-by-step explanation:

Simplify (6x2 - 4x + 7) - (8x2 - 2x + 5) =

Answers

-2(x^2+X-1)

This is correct

Answer:

       

−2x 2−2+2

Step-by-step explanation:

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