Elle is 6 years younger than Felicia. Marta is twice as old as Felicia. If Marta is w years old,

Answer:

The standard ticket price was $12.

Step-by-step explanation:

Let’s denote the normal ticket price, which would total

if she had purchased tickets for that amount.

However, since Holly received a $4 discount on each ticket, her cost for one ticket became

and with 23 tickets, her total cost was

amounting to $184; thus, we conclude

we will solve this equation as follows:

Therefore, the regular price amounted to $12.

THE CIRCLE EQUATION: (x - h)² + (y - k)² = r²


= (x + 1)² + (y - 4)² = 3

Response:

A 120 cm long pipe produces resonance at wavelengths of 480 cm, 160 cm, and 96 cm, but fails to resonate with any wavelengths longer than those. Consequently, this pipe is classified as:

A. closed at both ends

B. open at one end and closed on the other

C. open at both ends.

D. we cannot determine since we lack information about the sound frequency.

The correct answer is:

B. open at one end and closed at the other.

Explanation in steps:

The given data states that the pipe has a length of

= 120 cm

with wavelengths = 480 cm

                             

= 160 cm and = 96 cm

We need to ascertain if the pipe is open, closed, or of an open-closed nature.

Note:

For a pipe open at both ends, the fundamental wavelength is 2L.

For a pipe closed at one end and open at the other, the fundamental wavelength is 4L.

• From this information,
• It appears that this pipe is open at one end and closed at the other.

Now let’s verify with the subsequent wavelengths.

In the case of a pipe with one open end and one closed end:[

Odd multiples of one-quarter wavelength must fit within the length L.

⇒  

                           ⇒  

⇒

                               ⇒  

⇒                                    ⇒  ⇒

                             ⇒  

 Thus, it confirms that the pipe is open at one end and closed at the other.