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>
If you need to write a number as a decimal, it means that you need to write is a an x divided by a power of 10.
you can use this formula:
now let's multiply both sides by 10:
and simplyfy:
(by dividing the first fraction's elements by 5)
change improper fraction into a mixed number
and 1 over 3 is 0.33333...
so the answer is 1.333333 - we can also write it as 1.(3)
That is a 45 45 90 triangle.
The legs of such a triangle equal the hypotenuse divided by the sq root of 2
So each leg equals 125.5 cm divided by
<span>
<span>
<span>
1.4142135624
</span>
</span>
</span>
which equals
<span>
<span>
<span>
88.7419010389
</span>
</span>
</span>
or to the nearest 100th of a centimeter:
88.74
1. Calculate the volume of entire cube as if it was a solid rectangle:
Length x width x height=
20x16x12 = 3,940 cubic inches
2. Calculate the volume of the "missing"
Piece and subtract:
Length x width x height=
20x8x6 = 960 cubic inches
(notice you can find the height of the missing piece by subtracting 12-6)
So your answer is 3,940-960 = 2,980 cubic inches inside the steps
