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3 years ago

Solve the equation 3(2x + 2) = 3x − 15.

Mathematics

2 answers:

Pani-rosa [81]3 years ago

7 0

Answer:

x = -7

Step-by-step explanation:

3(2x+2) = 3x - 15

First, we should simplify on the left side.

6x + 6 = 3x - 15 ; Now we subtract six from both sides.

-6 -6

6x = 3x - 21 ; next we just subtract 3x from both sides.

-3x -3x

3x = -21

Finally, we divide 3 from both sides to separate the three from the x.

x = -7

Hope this helps!! <3 :)

Margaret [11]3 years ago

6 0

Hi there! :)

Answer:

x = -7.

Step-by-step explanation:

Starting with:

3(2x + 2) = 3x - 15

Begin by distributing '3' with the terms inside of the parenthesis:

3(2x) + 3(2) = 3x - 15

Simplify:

6x + 6 = 3x - 15

Isolate the variable by subtracting '3x' from both sides:

6x - 3x + 6 = 3x - 3x - 15

3x + 6 = -15

Subtract 6 from both sides:

3x + 6 - 6 = -15 - 6

3x = -21

Divide both sides by 3:

3x/3 = -21/3

x = -7.

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Consider this composite figure made of a cone and a cylinder. A cone has a height of 8 centimeters and radius of 3 centimeters.

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The volume of cone is 75.4 cubic centimeters and the volume of cylinder is 197.92 cubic centimeters. The volume of composite figure is 273.32 cubic centimeters.

Step-by-step explanation:

The given is,

Composite figure made of a cone and a cylinder.

A cone has a height of 8 centimeters and radius of 3 centimeters.

A cylinder has a height of 7 centimeters and radius of 3 centimeters.

Step:1

Volume of composite figure = Volume of Cone +

Volume of cylinder............(1)

Step:2

Formula for volume of cone,

$Volume of cone, V_{cone} = \pi r^{2} \frac{h}{3}$ ....................(2)

Where, r - Radius of cone

h - Height of cone

From the given,

r = 3 centimeters

h = 8 centimeters

Equation (2) becomes,

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$Volume of cone, V_{cone}$ = 75.4 cubic centimeters

Step:3

Formula for volume of cylinder,

$Volume of cone, V_{cone} = \pi r^{2} h$ ....................(2)

Where, r - Radius of cylinder

h - Height of cylinder

From the given,

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$Volume of cylinder, V_{cylinder}$ = 197.92 cubic centimeters

Step:4

Equation (1) becomes,

Volume of composite figure = 75.4 + 197.92

= 273.32 cubic centimeters

Result:

The volume of cone is 75.4 cubic centimeters and the volume of cylinder is 197.92 cubic centimeters. The volume of composite figure is 273.32 cubic centimeters.

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