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ioda
3 years ago
15

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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2 years ago
The difference of six times a number and 7 is -49
gtnhenbr [62]
Greetings!

"<span>The difference of six times a number and 7 is -49"...

In number and variables, this would be:
</span>6x-7=-49&#10;
<span>
Add 7 to both sides.
</span>(6x-7)+7=(-49)+7
<span>Simplify.
</span>6x=-42
Divide both sides by 6.
(6x)/6=(-42)/6
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-Benjamin
5 0
3 years ago
Find the area of the missing piece of the polygon and explain your process for finding it:
rusak2 [61]

Answer:

The area of the polygon is 42cm^{2}.

Step-by-step explanation:

A polygon is a shape that has three or more sides. They are named with respect to the number of their sides. Example, an octagon has 8 sides, hexagon has 6 sides etc.

From the given figure, the area of the shaded polygon can be calculated by;

Area of polygon = Area of square - Sum of areas given

Sum of areas given = 24 + 30 + 48

                                = 102cm^{2}

The four sides of the figure are equal, thus it is a square. The length of each side is 12 cm, so that:

Area of square = length × width

                        = 12 × 12

                       = 144cm^{2}

Area of polygon = 144 - 102

                           = 42cm^{2}

The area of the polygon is 42cm^{2}.

6 0
3 years ago
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