The drama club receives $3,301 by selling 376 tickets to the opening night of the musical. if the full price of a ticket is $10.75 and discount tickets for students and seniors are $6 each how many discounted senior student tickets were sold

156 senior/student tickets were sold.

Step-by-step explanation:

Create a system of equations (I used 'x' for full price people and 'y' for senior/students)

10.75x + 6y = 3,301

x + y = 376

Then solve for one variable by moving one variable to the right on the second equation:

x + y = 376 to x = 376 - y

Now plug that new equation into the first equation, where the 'x' is.

10.75(376 - y) + 6y = 3,301

Distribute 10.75 into the parentheses:

4,042 - 10.75y + 6y = 3,301

Now combine like terms:

4,042 - 4.75y = 3,301

Move 4,042 to the right to combine with 3,301:

4,042 - 4,042 -4.75y = 3,301 - 4,042

-4.75y = -741

Now divide both sides by -4.75:

-4.75y/-4.75 = -741/-4.75

y = 156

156 senior/student tickets!

answer:

(-8,7)

explanation:

we know that  

f

(

−

3

)

=

7

therefore, if we wish to get the output as 7, in the function, we need to have our input to be -3.

looking at the function  

f

(

x

+

5

)

, what should the value of x be, such that the input in the function becomes 7?

we simply equate the terms,

x

+

5

=

−

3

x

=

−

8

thus, the point on the new function would be  

(

−

8

,

7

)

answer:

the position of equilibrium will shift to the left.

step-by-step explanation:

the general equation for the dissociation of a weak base is

b + h₂o   ⇌   bh⁺ + oh⁻

according to le châtelier's principle, when a stress is applied to a system at equilibrium, the system will respond in a way that tends to relieve the stress.

if you apply a stress by adding more bh⁺ or oh⁻,   the system will respond by moving in a direction that gets rid of the added ions.

the position of equilibrium will shift to the left, forming more of the undissociated base.