this cylindrical fish tank has a height of 36 inches and a a diameter of 30 inches what is the volume of the fish tank

Answers

Answer 1

Answer: First, you'll need to find the area of the base of the cylinder. Since the fish tank is a cylinder, its base is a circle, and you'll use $\pi$ *r^2.

r=(1/2)d = (1/2)30 = 15 inches
$\pi$ *15^2 = $\pi$ *225 (We'll worry about multiplying by pi later; for now, this is good enough).

Then, to find the volume, you just multiply by the height of the fish tank.
$\pi$ *225*36 = $\pi$ *8100 = 25446.9005

The answer, then, is 25446.9005 cubic inches (or just 8100 $\pi$ cubic inches)

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Equivalent expressions 36 + 18x

Answers

Answer:

An equivalent expression is 18(2 + x)

Step-by-step explanation:

To find this, look for the greatest common factor. Since both terms are divisible by 18 equally, we take 18 out of each term. Then we divide both terms by 18 and express in a parenthesis.

18(2 + x)

The answer is there

What is the length of the rectangular prism if it has a width of 13 meters, a height of 17 meters, and a volume of 2,873 cubic meters?

Answers

Answer:

The length of the rectangular prism is 13 m .

Step-by-step explanation:

Formula

Volume of a rectangular prism = Length × Breadth × Height

As given

Rectangular prism if it has a width of 13 meters, a height of 17 meters, and a volume of 2873 cubic meters .

Put all the values in the formula

2873 = Length × 13 × 17

2873 = Length × 221

$Length = (2873)/(221)$

Length = 13 m

Therefore the length of the rectangular prism is 13 m .

Hope you can see the picture

If Bryce's bank account has a balance −$50, how much money does he owe the bank?A) −$100
B) $100
C) −$50
D) $50

Answers

Answer:

The answer is D

Step-by-step explanation:

she is down 50 dollars so she needs to pay it back to the bank

Paul's bathtub is clogged. He has to empty 30 liters of water by hand. Paul has a 3-liter, a 4-liter, and a 5-liter bucket. If Paul carries two buckets each trip, what combinations of sizes allow him to empty the bathtub in exactly four trips?

Answers

The combinations of sizes allow him to empty the bathtub in exactly four trips is a 5-liter bucket with the 3-liter bucket twice, a 3-liter bucket and the 4-liter bucket.

What is the unitary method?

The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value.

Paul's bathtub is clogged. He has to empty 30 liters of water by hand.

Paul has a 3-liter, a 4-liter, and a 5-liter bucket.

If Paul carries two buckets each trip, we need to find the combinations of sizes that allow him to empty the bathtub in exactly four trips.

5 and 3 = 8 liters ,

5 and 4 = 9 liters,

3 and 4 = 7 liters.

8 + 7 + 8 + 7 = 30 liters,

So,

He can take the 5-liter bucket with the 3-liter bucket twice, and then he can use the 3-liter bucket and the 4-liter bucket twice.

Learn more about the unitary method;

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5 and 3 = 8 liters , 5 and 4 = 9 liters, and 3 and 4 = 7 liters.

8 + 7 + 8 + 7 = 30 liters, so he can take the 5 liter bucket with the 3 liter bucket twice, and then use the 3 liter bucket and the 4 liter bucket twice.

Why is 4/6 less than 5/7

Answers

If you take 4/6, you divide so it will be 0.6667... and then if you take 5/7 you divide again, and then it will be 0.7143...

lcm = 2 x 3 x 7 = 42

4/6 = 28/42
5/7 = 30/42

28/42 is less than 30/42
4/6 is less than 5/7

Boris is ordering supplies for his company. He ordered 20 boxes of pencils and 32 boxes of pens. What is the ratio of boxes of pens ordered to boxes of pencils ordered? Please reduce your answerA. 8:5
B. 16:10
C. 32:20
D. 9:3

Answers

$(boxes \ of \ pens)/(boxes \ of \ pencils)=(32)/(20)=(8 * 4)/(5 * 4)=\boxed{(8)/(5)} \Leftarrow A$

Answer:

8:5

Step-by-step explanation:

I did the question on study island trust me. :)

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