4/9 divided by what equals 12? :)

This question reveals an intriguing pattern.

The rule or pattern to follow here is:

For the left side of the number compared to its predecessor: (First digit x Third digit + 1)

For the right side: (Second digit x Fourth digit -1)

For instance, consider 6447. Next, let's examine its previous number, 9876.

Now, and

that's how we arrived at 6447

Next, for the third number, 2527, let's look at its previous number, 6447

Now,

and

that's how we reached 2527

Following the same reasoning, the missing number should be 534.

This conclusion came from applying the rule of the pattern as:

and

Thus, we derived 534.

This is the solution:

(3m^-2 n)^-3 / 6mn^-2
For the first step: apply the power distribution3^-3 m^-2*-3 n^-3 / 6mn^-2
In the second step: utilize the product and quotient rulesm^6 n^2/ 3^3 *6*m*n^3
Lastly, simplify the expressionm^5/162n
The conclusive answer is m^5/162n

Hope this aids you.:)

Answer:

The answer to this question is C: (72,24).

Step-by-step explanation:

According to the information provided:

The price of one cap is $5

The price of one t-shirt is $10

Let x represent the number of caps sold

Let y represent the number of t-shirts sold

The drama club aims to raise at least $500 for their trip.

Hence, we can establish the inequality as follows:

The number of caps sold x (times) price of one cap + number of t-shirts y (times) price of one t-shirt ≥ (greater than or equal to) 500

Inequality: 5x + 10y ≥ 500 (The greater than or equal to symbol indicates the drama club needs at least $500 for the journey.Next, we need to ascertain the number of caps and t-shirts sold.

- We can eliminate

two

of the options which are

the two answers containing negatives

because we understand that multiplying a positive by a negative yields a negative, which is unacceptable. (Thus, Options A and D are not valid.)Now we will substitute x and y into our inequality equation (5x + 10y ≥ 500)B) x = 65 caps, y = 17.5 t-shirts ------> 5(65) + 10(17.5) = 500 results in $500

YOU MAY THINK THIS IS THE ANSWER, BUT! if you look closely at variable y, it indicates they sold 17.5 t-shirts; however, consider how can you sell 17.5 t-shirts?

Thus, this option is also invalid!

C) x = 72 caps, y = 24 t-shirts ------> 5(72) + 10(24)=

$600

which exceeds the required $500 that they needed. Therefore, the correct choice for this question is C, indicating they sold 72 caps and 24 t-shirts, accumulating $600.

=3400(1+0.0825/1)^1*25
=3400(1.0825)^25
=3400(7.2560058)
=24670.41

Hope this assists!!!