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:
Step-by-step explanation:
The eccentricity of an ellipse is given by:
The given ellipse has equation:
We can rewrite this equation in standard form to obtain:
We compare to the general standard form equation:
to get:
We substitute into the eccentricity formula to get:
The eccentricity is 0.66 to the nearest hundredth
Area=Base*Base/2(height)
To simplify it, get both of the bases, and multiply them. Then divide the product by 2. Then multiply that answer by the height
Answer:
319973/400
Step-by-step explanation:
800 - 27/4%
800 - ( 27/4 × 1/100)
800 - 27/400
= 319973/400
Answer:
Width = 16 cm
Step-by-step explanation:
Given that
Area of rectangle = 1024 cm²
Length of rectangle = four times the width
Let the width of rectangle be W cm
Now we know that Area of rectangle = Length × Width
Or, Area of rectangle = (4 × width ) × width
1024 cm² = 4 × W²
= W²
256 = W²
∴ W =
Or, W = 16 cm
Hence the width of given rectangle is 16 cm Answer.