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Answers

Answer 1

Answer: You need to know how to calculate the volume of a cylinder and how to calculate the volume of a cone. We know that the two things have the same height and they also have the same area for their base.

Let's say that the area of the base is x.

The volume of the cylinder = x * 30 (area of the base multiplied with the height)

The volume of the cone = x/3 * 30 (1/3 multiplied with the area of the base and the height)

This means that the cone has one third of the volume of the cylinder's. Therefore if I pour water from a full cone, I can fill the cylinder only to the third of its volume, and in this case, height. So the answer is 10 cm.

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What is the quotient (x^3+8)/(x+2)

Help plzSimplify.
8u+9v+3u−5v

11u + 14v

15uv

11u + 4v

5u + 4v

Answers

Answer:

The answer is 11u + 4v

Step-by-step explanation:

Janet invested $10,000, part at 2% and part at 12%. if the total interest at the end of the year is $600, how much did she invested at 2%

Answers

Janet invested $6000 at 2 %.

Let x = amount invested at 2 %. Then 10 000 - x = amount invested at 12 %

interest at 2 % + interest at 12 % = 600

0.02x + 0.12(10 000 – x) = 600

0.02x + 1200 – 0.12x = 600

0.10x = 600

x = 600/0.10 = 6000

Express 9-y^2 as the product of two binomial factors.

Answers

This is the difference of squares. Formula is:
A² - B² = ( A - B ) · ( A + B )
9 - y² = 3² - y² = ( 3 - y ) · ( 3 + y )

Find the constant of variation for this equation.A=(1/2)(b)(h)

Write your answer in decimal form.

Answers

$A=(1)/(2)bh\n\nconstant=(1)/(2)$

Match the reasons with the statement.Given: 12 - x = 20 - 5 x

To Prove: x = 2

1.
Division property of equality

A. 12 - x = 20 - 5 x

2.
Subtraction property of equality

B. 12 + 4 x = 20

3. Addition property of equality

C. 4 x = 8

4. given

D. x=2

Answers

To prove that x = 2 in the equation given, first, we write the given.
(4) Given: (A) 12 - x = 20 - 5x
Then, add 5x to both sides of the equation,
(3) Addition property of equality: (B) 12 + 4x = 20
Then, subtract 12 from both sides of the equation
(2) Subtraction property of equality: (C) 4x = 8
Lastly, divide both sides by 4
(1) Division property of equality : (D) x = 2

During a sale a video game is sold for 15 dollars less than three fifths of the original price of the cell phone. Which expression represents the sale price of the cell phone if n is the original price of the cell phone

Answers

Answer:(3n/5) -15

Step-by-step explanation:

Let the original price be n

The video game is sold for 15 dollars less than three fifths of the original price of the cell phone. This means

Selling price of video game = 3n/5 -15

Expression that represents the sale price of the cell phone if n is the original price of the cell phone

=(3n/5) -15