Answer:
The price of 1 adult ticket is 12 dollars, and the price of a ticket for one student is 7 dollars
Step-by-step explanation:
Make a system of equations for the two days that the play was shown.
Let x = the price of an adult ticket
Let y = the price of a student ticket
For the first day:
<h3>9x+8y=164</h3>
For the second day:
<h3>2x+7y=73</h3>
Now, we can solve using the elimination method. Multiply the first equation by 2 and the second equation by 9. Then swap the order of the equations.
<h3>18x+63y= 657</h3><h3>-</h3><h3>18x+16y= 328</h3><h3>0x+ 47y= 329</h3><h3>divide both sides by 47</h3><h3>y = 7</h3><h3>Plug in 7 for y for the 2nd equation</h3><h3>2x+7(7)=73</h3><h3>2x+49=73</h3><h3>subtract 49 from both sides</h3><h3>2x= 24</h3><h3>divide both sides by 2</h3><h3>x = 12 </h3><h3>Check:</h3><h3>2(12)+7(7)=73</h3><h3>24+49= 73!</h3>
 
        
                    
             
        
        
        
Answer:
 a horizontal translation by 3 units left
Step-by-step explanation:
f(x)= |x|
we are given with absolute function f(x)
g(x)  = |x+3|
To get g(x) from f(x) , 3 is added with x
If any number is added with x  then the graph of the function move to the left
Here 3 is added with x, so the graph of f(x) moves 3 units left to get g(x)
So there will be a horizontal translation by 3 units
 
        
             
        
        
        
Given:
A figure.
 and
 and 
To find:
What kind of figure and the value of x
Solution:
All four sides are congruent.
Diagonals bisect each other.
There the given figure is rhombus.
Diagonals bisect the angles.
⇒ 

Subtract 3 on both sides.


Subtract 6x from both sides.


Divide by 3 on both sides.


The value of x is  .
.
 
        
             
        
        
        
Conversions:
1 yard = 36 inches
The store only sells fabric by the by the quarter yard.
<h2><u><em>
The yellow fabric: 450/36 = 12.5 square yards</em></u></h2><h2><u><em>
The blue fabric: 478/36 is around 13.3 square yards</em></u></h2>
Total Amount: 12.5+13.3=
<h2><u><em>
25.8 square yards</em></u></h2>