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ki77a [65]
3 years ago
15

What is the solution to 5n+12=9n-16

Mathematics
2 answers:
Rasek [7]3 years ago
8 0

Answer:

n = 7

Step-by-step explanation:

12 + 16 = 9n - 5n \\ 28 = 4n

BigorU [14]3 years ago
6 0

Answer:

n = 7

Step-by-step explanation:

5n + 12 = 9n - 16 (Given)

5n + 12 - 12 = 9n - 16 - 12 (Subtraction Property of Equality)

5n = 9n - 28 (Simplify)

5n - 9n = 9n - 9n - 28 (Subtraction Property of Equality)

-4n = -28 (Simplify)

\frac{-4n}{-4} = \frac{-28}{-4} (Division Property of Equality)

n = 7 (Simplify)

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Answer:

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Step-by-step explanation:

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2 years ago
WILL MARK BRAINLIEST!!! A contractor has 34 meters of fencing that he is going to use as the perimeter of a rectangular garden.
snow_tiger [21]

Given

Shape of garden: Rectangle

Perimeter: 34 meters

Area: 72 square meters

Length of one side = x

Required

Find the dimension of the rectangle

Let the length of the other side of the rectangle be represented with y.

We start by writing out the perimeter of a rectangle

Perimeter, P = 2(L + B)

Where P is the perimeter; L and B are the length and width of the sides of the rectangle.

In this case L and B are represented by x and y

So,

P = 2(x + y)

By substituting 34 for P

34 = 2(x + y)

Multiply both sides by ½

½ * 34 = ½ * 2(x + y)

17 = x + y

Make y the subject of formula

y = 17 - x

Recall that the sides of the rectangle are represented by x and y.

Hence, the area of the rectangle is as follows.

Area = x * y

Substitute 72 for Area and 17 - x for y

72 = x(17 - x) --- Open bracket

72 = 17x - x² ---- Reorder

x² - 17x + 72 = 0

Now, we have a quadratic equation

Solving by factorisation

x² - 8x - 9x + 72 = 0

x(x - 8) - 9(x - 8) = 0

(x - 8)(x - 9) = 0

x - 8 = 0 or x - 9 = 0

x = 8 or x = 9

Recall that

y = 17 - x.

When x = 8

y = 17 - 8

y = 9

When x = 9

y = 17 - 9

y = 8

Writing out the result, we have

x = 8 , y = 9

Or

x = 9, y = 8

Hence, the dimension of the rectangle is 8 metres by 9 metres

7 0
3 years ago
Solve this equation q - 17 = 18<br><br> Thanks!
Lisa [10]

Answer:

q =1

Step-by-step explanation:

q=17-18

.•. q=1

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8 0
3 years ago
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The length of a rectangle is three times its width. The perimeter of the rectangle is 100 inches. What are the dimensions of the
ser-zykov [4K]

Answer:

We have l = 2w and 2l + 2w = 100 inches;

Then 4w + 2w = 100 inches;

6w = 100 inches;

w = 16.6;

l = 3 x 16.6;

l = 49.8 inches;


Step-by-step explanation:


7 0
3 years ago
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This figure is 14 of a circle. What is the best approximation for the perimeter of the figure? use 3.14 to aproximate pi.
Lana71 [14]
I'm pretty sure its 3.1 inches
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3 years ago
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