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Musya8 [376]
2 years ago
7

John went on a trip. 2 hours in he a 15 gallons of gas in her tank.7 hours into her trip she had 3 gallons left. Find the rate o

f change
Mathematics
1 answer:
maks197457 [2]2 years ago
5 0

Answer:

jjjjjjajjajajajhahahahajahajjaha

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Which inequality has the same value for x as the inequality - 2x > -14
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d

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9a^2 + 3ab + 6b^2

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Prove algebraically that the recurring decimal 0.72 =8/11
miskamm [114]

Answer:

see explanation

Step-by-step explanation:

We require 2 equations with the recurring decimal placed after the decimal point.

let x = 0.7272.... (1) ← multiply both sides by 100

100x = 72.7272... (2)

Subtract (1) from (2) thus eliminating the recurring decimal

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2 years ago
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Which statements about the cylinder are true? Select two
Rus_ich [418]

Answer:

The radius of the cylinder is (1/2)x units

The area of the cylinder’s base is (1/4)πx2 square units

The height of the cylinder is 4x units

Step-by-step explanation:

<u><em>The complete question is</em></u>

A cylinder with a base diameter of x units has a volume of πx3 cubic units.

Which statements about the cylinder are true? Check all that apply.

(1) The radius of the cylinder is (1/2)x units.

(2) The radius of the cylinder is 2x units.

(3) The area of the cylinder’s base is (1/4)πx2 square units.

(4) The area of the cylinder’s base is (1/2)πx2 square units.

(5) The height of the cylinder is 2x units.

(6) The height of the cylinder is 4x units

we know that

The volume of the cylinder is equal to

V=\pi r^{2}h

we have

r=\frac{x}{2}\ units ----> the radius is half the diameter

V=\pi x^{3}\ units^3

substitute the given values  in the formula of volume

\pi x^3=\pi (\frac{x}{2})^{2}h

solve for h

simplify

x=(\frac{1}{4})h

h=4x\ units

<u>Verify each statement</u>

(1) The radius of the cylinder is (1/2)x units

The statement is true

see the explanation

(2) The radius of the cylinder is 2x units.

The statement is false

Because, the radius of the cylinder is x/2 units

(3) The area of the cylinder’s base is (1/4)πx2 square units

The statement is true

Because, the area of the cylinder's base is equal to

A=\pi r^{2}

r=\frac{x}{2}\ units

substitute

A=\pi (\frac{x}{2})^{2}

A=\frac{\pi x^2}{4}\ units^2

(4) The area of the cylinder’s base is (1/2)πx2 square units.

The statement is false

Because, the area of the cylinder's base is equal to

A=\frac{\pi x^2}{4}\ units^2

see the part (3)

(5) The height of the cylinder is 2x units.

The statement is false

Because, the height of the cylinder is 4x units (see the explanation)

(6) The height of the cylinder is 4x units

The statement is true

see the explanation

7 0
3 years ago
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