Help with number 12 and 13 And please show work so I can understand how to do it

The quotient of 6/8 divided by 2/6 is 9/4.

To find the quotient of two fractions, we need to divide the numerator of the first fraction by the numerator of the second fraction and divide the denominator of the first fraction by the denominator of the second fraction.

In this case, we have:

6/8 divided by 2/6

To divide fractions, we can multiply the first fraction by the reciprocal of the second fraction.

The reciprocal of a fraction is obtained by swapping the numerator and the denominator.

So, the reciprocal of 2/6 is 6/2.

Therefore, we can rewrite the division as:

6/8 x 6/2

Now, we can multiply the numerators together and the denominators together:

(6 x 6) / (8 x 2)

Which simplifies to:

36 / 16

Now, we can simplify the fraction by finding the greatest common divisor (GCD) of 36 and 16, and dividing both the numerator and the denominator by the GCD.

The GCD of 36 and 16 is 4.

Dividing both the numerator and denominator by 4, we get:

(36 ÷ 4) / (16 ÷ 4)

9 / 4

So, the quotient of 6/8 divided by 2/6 is 9/4.

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Answer:

Below.

Step-by-step explanation:

Because y = 1/x is never going to be equal to  zero no matter how high you make the value of x ( positive) or how low  ( negative).

At these high / low values the function approaches zero but never gets there.

As x --->∞, y ----> 0⁺.

As x ----> -∞, y ----> 0⁻.

The required simplified solution of the given expression is 11x -8.

Given that,
To determine the simplified expression that is equivalent to the 3(x-2)+2(4x-1).

What is simplification?

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

Here,
Given expression,
3(x-2)+2(4x-1)
Applying the distributive law in order to multiply the 3 and 4 in the respective parenthesis.
= 3x - 6 + 8x - 2
= 11x - 8

Thus, the required simplified solution of the given expression is 11x -8.

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The difference between what they paid for each uniform and what they got for each return is  $1400.

What is an expression?

An expression is a number, or a variable, or a combination of numbers and variables and operation symbols.

Now it is given that,

Number of uniforms bought = 40

Total cost of uniforms = $3000

Now given returning cost = $40 per uniform

So, returning cost of all uniforms = $40*40

⇒ returning cost of all uniforms = $1600

Thus, the difference between what they paid for each uniform and what they got for each return = $3000- $1600

⇒  the difference between what they paid for each uniform and what they got for each return = $1400

Thus, the difference between what they paid for each uniform and what they got for each return is  $1400.

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