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Zinaida [17]
3 years ago
12

gn="absmiddle" class="latex-formula">
Mathematics
2 answers:
timama [110]3 years ago
8 0

Hello!

To find the value of x, you need to use SADMEP. SADMEP is PEMDAS reversed and it is only used when solving algebraic equations.

SADMEP is subtraction, addition, division, multiplication, exponents, and parentheses. SADMEP has the same rules as PEMDAS, you subtract, then add, after you divide, then multiply, etc.

The main goal when solving algebraic equations is to get the variable on one side the equation.

5 - 4x = -27 (subtract 5 from both sides)

-4x = -32 (divide both sides by -4)

x = 8

A good thing to always do is to check your work after solving equations. To check, you substitute the value of x back into the original equation and simplify. Since you are not solving algebraic equations, you need to use PEMDAS.

5 - 4x = -27; x = 8

5 - 4(8) = -27 (multiply)

5 - 32 = -27

-27 = -27 | This is correct!

Therefore, the answer is x = 8.

Mamont248 [21]3 years ago
8 0

Hey there! :)

5 - 4x = -27

To find x, we must isolate it.

So, our first step should be subtracting 5 from both sides.

5 - 4x - 5 = -27 - 5

Simplify.

-4x = -32

Divide both sides by -4.

-4x ÷ -4 = -32 ÷ -4

Simplify.

x = 8

~hope I helped~


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Answer:

The dog's running area is approximately 942 feet².

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The dog is leashed to a fixed point, the leash has a length of 20 ft, therefore he can rotate around that point at the maximum distance equal to the length of the leash. This pattern forms a circle, but there is an obstruction, which is the corner of the house. This obstruction takes an arc of the original circle, so the running area of the dog is the area of the whole circle minus the area of the arc formed by the corner of the house.

\text{dog's area} = \text{circle's area} - \text{arc's area}\\\\\text{dog's area} = pi*(20^2) - \frac{90}{360}*pi*(20^2)\\\\\text{dog's area} = \frac{270}{360}*pi*(400)\\\\\text{dog's area} = 942.477\text{ feet}^2

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