2. Celeste was selling meal tickets for the holiday program at her school. The cost of a dinner ticket is $10. She is also selling dessert tickets for $6. She lost

track of how many of each ticket she sold; however, she remembered that she

was given 100 tickets and she collected $900. The system of equations shown

can be used to represent this situation: Part A: What does the variable x

represent in this system of equations?

A. The number of dinner tickets sold.

B. The number of dessert tickets sold.

C. The number of dollars collected for dinner tickets.

D. The number of dollars collected for dessert tickets. ption 1

A. The number of dinner tickets sold.

Step-by-step explanation:

Celeste was selling meal tickets for the holiday program at her school. The

cost of a dinner ticket is $10. She is also selling dessert tickets for $6. She lost track of how many of each ticket she sold; however, she remembered that she was given 100 tickets and she collected $900.

Let us represent

Number of dinner tickets = x

Number of dessert tickets = y

From the above question, our system of equations is given as:

x + y = 100 Equation 1

$10 × x + $6 × y = $900

10x + 6y = 900 Equation 2

Therefore, the variable x in this system of equations represents the number of dinner tickets sold.

Option A is the correct option.

for b its (t) and c its (d)

step-by-step explanation:

hope this !

step-by-step explanation:

d = distance between moon and sun, which in this problem is the hypotenuse of a right triangle.  

the distance y is the side opposite to angle x in the right triangle.   use the definition of the sine function from basic trigonometry.

sin(x) = y/d ⇒

d = y/sin(x)