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3 years ago

What is the solution to the equation below? 4x = ⅔

Mathematics

1 answer:

Nataly [62]3 years ago

4 0

Step-by-step explanation:

we divide both sides by 4 to single out the X

(4X) / 4 = (2/3)/4

simplify

X = 2/12

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Need help please its my last question

Nesterboy [21]

Given:

Radius of circle = 12 units

Area of sector = 24π sq. units.

Central angle = x

To find:

The value of x.

Solution:

We have,

$r=12$

$A=24\pi$

$\theta = x$

We know that, area of a sector is

$A=\dfrac{\theta }{360^\circ}\pi r^2$

Where, $\theta$ is central angle, r is radius.

$24\pi=\dfrac{x}{360^\circ}\pi (12)^2$

$24\pi=\dfrac{x}{360^\circ}\pi (144)$

$\dfrac{24\pi}{144\pi}=\dfrac{x}{360^\circ}$

$\dfrac{1}{6}=\dfrac{x}{360^\circ}$

Multiply both sides by 360 degrees.

$\dfrac{1}{6}\times 360^\circ=x$

$60^\circ=x$

The value of x is 60 degrees.

Therefore, the correct option is A.

4 0

3 years ago

Suppose 6 quarts of a solution that is 52% antifreeze is mixed with 10 quarts of a solution that is 32% antifreeze. (A) how many

Vadim26 [7]

The total amount of the resulting mixture can be calculated by adding up the volume of the given substances assuming that volume addition is applicable given the properties of the fluids used.

That is,
T = 6 quarts + 10 quarts = 16 quarts

The total volume of the resulting mixture is 16.

Then, we do the component (antifreeze) balance by adding up the resulting antifreeze from the substances to the total. We let x be the percentage of antifreeze in the final mixture.

6(0.52) + 10(0.32) = 16(x)

The value of x from the equation is 0.395.

Therefore, the answer to this item is 39.5%.

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3 years ago

What is the equation of the line perpendicular to Y-3x+1 that passes through the point (12,-6)?

erma4kov [3.2K]

Answer:

$3y + x = -6$