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3 years ago

3n + 7 - 2 Combing like terms

Mathematics

1 answer:

hjlf3 years ago

6 0

Answer:

Simplifying

3n + 7 + -2 = 0

Reorder the terms:

7 + -2 + 3n = 0

Combine like terms: 7 + -2 = 5

5 + 3n = 0

Solving

5 + 3n = 0

Solving for variable 'n'.

Move all terms containing n to the left, all other terms to the right.

Add '-5' to each side of the equation.

5 + -5 + 3n = 0 + -5

Combine like terms: 5 + -5 = 0

0 + 3n = 0 + -5

3n = 0 + -5

Combine like terms: 0 + -5 = -5

3n = -5

Divide each side by '3'.

n = -1.666666667

Simplifying

n = -1.666666667

Step-by-step explanation:

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Can someone please help me?

natulia [17]

Answer:

Step-by-step explanation:

It implies that Douglass and his siblings nearly forgot about their early lives.

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3 years ago

A sphere is inscribed in a cube with a surface area of 216 square centimeters. What is the volume of the sphere

pentagon [3]

Answer:

$V=298.5cm^3$

Step-by-step explanation:

To find the volume of the sphere we need to know its radius.

And the radius can be found with the information we have about the surface area.

The formula for the surface area is as follows:

$SA=4\pi r^2$

from this formula we clear the radius r:

$r^2=\frac{SA}{4\pi}\\ \\r=\sqrt{\frac{SA}{4\pi} }$

and we substitute the known value of the surface area, and also the value of $\pi$ :

$r=\sqrt{\frac{216cm^2}{4(3.1416)} }\\ \\r=\sqrt{\frac{216cm^2}{12.5664} }\\ \\r=\sqrt{17.1887cm^2}\\ \\r=4.146cm$

and now that we know the radius we find the volume:

$V=\frac{4\pi r^3}{3} \\\\V=\frac{4(3.1416)(4.146cm)^3}{3}\\ \\V=\frac{895.521cm^3}{3}\\ \\V=298.5cm^3$

the volume of the sphere is $298.5cm^3$

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2 years ago

[HELP] Are the diagonals of an isosceles trapezoid congruent?

erastovalidia [21]

Yes.

the properties of an isosceles trapezoid are:
- the bases are parallel
- opposite sides are congruent
- the angles on either side of the bases are congruent
- the diagonals are congruent

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3 years ago

HELP WILL GIVE BRANLIEST!

Natali5045456 [20]

Answer:

Since it is vertical angles, 4x - 12 = 88.

Answer is 25

Step-by-step explanation:

88 + 12 = 100

100 / 4 = 25

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2 years ago

a wall on the side of a building is made up of 52 rows of bricks with 44 bricks in each row. how many bricks make up the wall

sveta [45]

There are a total of 2,288 bricks that make up the wall.

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3 years ago

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