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3 years ago

Solve the following equation: 8 - 9x = 27.

Mathematics

1 answer:

bearhunter [10]3 years ago

4 0

The given equation is

$8-9x=27$

To solve for x, we have to subtract 8 to both sides

$8-9x-9 = 27-8 \\ -9x = 19$

Now we need to get rid of -9 from the left side, and for that we do division

$\frac{-9x}{-9} = \frac{19}{-9}$

$x = - \frac{19}{9}$

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3 years ago

Find the value of n, correct to 4 significant figures.

Law Incorporation [45]

Answer:

6.708

Step-by-step explanation:

Y varies directly as the square of x (Given)

$\implies y\:\alpha \:x^2$ ......(1)

Y varies inversely as the square root of z (Given)
$\implies y\:\alpha\: \frac{1}{\sqrt z}$ ......(2)

Combining (1) & (2), we find:

$y\:\alpha \:\frac{x^2}{\sqrt z}$

$\implies y=\frac{kx^2}{\sqrt z}$ (Where k is constant of proportionality).....(3)

Now, when y = 2, x = 3 and z = 4, we find the value of k i.e. constant.

$2=\frac{k(3)^2}{\sqrt 4}$

$\implies 2=\frac{k(9)}{2}$

$\implies k =\frac{4}{9}$

Plugging the value of k in (3), we find:

$y=\frac{4x^2}{9\sqrt z}$ ....(4)

Next, in equation (4), plug y = 5, x = n and z = 16 and obtain the value of n by solving it.

$5=\frac{4(n)^2}{9\sqrt {16}}$

$\implies 5=\frac{4(n)^2}{9(4)}$

$\implies 5=\frac{(n)^2}{9}$

$\implies 5(9)=(n)^2$

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$\implies n=\sqrt{45}$

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$\implies n\approx 6.708$

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2 years ago

I WILL GIVE BRAINLIEST PLZ ANSWER DUE IN A FEW MINUTES What is every factor of 116

Maslowich

Answer:

1,2,4,29,58,116

Step-by-step explanation:

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3 years ago

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alexdok [17]

Answer:

(4, -6)

Step-by-step explanation:

(x1+x2)/2 + (y1+y2)/2 = midpoint

(11+-3)/2 = 8/2 = 4. x = 4

(-5 + -7)/2 = -12/2. y = -6

4, -6 is the midpoint

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2 years ago

A town's recreation department is updating its parks. The parks must have slides and swings.

Fittoniya [83]

Number of swings = x
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First condition:
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Based on this:
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3 years ago

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