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3 years ago

Simplify the ratio 12:18

Mathematics

2 answers:

dybincka [34]3 years ago

5 0

Answer:2:3

Step-by-step explanation:

12:18 is the same as 12/18

By reducing 12/18 to it lowest term in fraction we get 2/3,and 2/3=2:3

denis-greek [22]3 years ago

3 0

Answer: 2:3

Step-by-step explanation:

The fraction 12/18 is equivalent to 2/3.

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Determine what must be multiplied so that the expression below will have a common denominator. Use the backslash / to type in a

Mashutka [201]

Answer:

Multiply the first fraction by $\frac{x+4}{x+4}$

Multiply the second fraction by $\frac{x-4}{x-4}$

Step-by-step explanation:

Given

$\frac{4}{x^2 - 16} + \frac{3}{x^2 + 8x + 16}$

Required

Make the denominator equal

$\frac{4}{x^2 - 16} + \frac{3}{x^2 + 8x + 16}$

Factorize the denominator

$\frac{4}{x^2 - 4^2} + \frac{3}{x^2 + 4x + 4x+ 16}$

$\frac{4}{(x - 4)(x + 4)} + \frac{3}{(x+ 4)(x + 4)}$

Multiply the first fraction by $\frac{x+4}{x+4}$

Multiply the second fraction by $\frac{x-4}{x-4}$

$\frac{x+4}{x+4} * \frac{4}{(x - 4)(x + 4)} + \frac{3}{(x+ 4)(x + 4)} * \frac{x-4}{x-4}$

$\frac{4(x + 4)}{(x - 4)(x + 4)(x + 4)} + \frac{3(x - 4)}{(x+ 4)(x + 4)(x - 4))}$

$\frac{4(x + 4)}{(x^2 - 16)(x + 4)} + \frac{3(x - 4)}{(x^2 - 16)(x + 4))}$

<em>The expression now have the same denominator</em>

7 0

2 years ago

Negative x + 6y = 16 and 8x - 6y = -2 which statements about the system of equations are true check all that are apply the x var

MakcuM [25]

Answer:

y variable will be elimited when adding the system of equations

x = 2 or y = 3

Step-by-step explanation:

- x + 6y = 16

8x - 6y = -2

Add both equations

(-x + 8x) + {6y + (-6y)} = 16 + (-2)

7x + 6y - 6y = 16 - 2

7x + 0 = 14

7x = 14

x = 14/7

x = 2

- x + 6y = 16

- 2 + 6y = 16

6y = 16 + 2

6y = 18

y = 18/6

y = 3

the x variable will be eliminating when adding the system of equations and the

y variable will be elimited when adding the system of equations

or the sum of the system equations is negative 8X = 14 or

x = 2 or y = 3

or there's only one solution to the system equations

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2 years ago

In a 30-60-90 triangle the long leg is half the hypotenuse.

pentagon [3]

And because we know that we cut the base of the equilateral triangle in half, we can see that the side opposite the 30° angle (the shortest side) of each of our 30-60-90 triangles is exactly half the length of the hypotenuse.

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1 year ago

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2 years ago

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kramer

Answer:

12 seconds.

Step-by-step explanation:

Let t represent time taken by code to sort an array of 24 elements.

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