200,000 is ten times greater then 20,000
Answer:
![800\sqrt{5}](https://tex.z-dn.net/?f=800%5Csqrt%7B5%7D)
Step-by-step explanation:
Given: ![\large (20)^\text{$ \dfrac{5}{2} $}](https://tex.z-dn.net/?f=%5Clarge%20%2820%29%5E%5Ctext%7B%24%20%5Cdfrac%7B5%7D%7B2%7D%20%24%7D)
Properties of Exponents:
<u>Rational Exponent Property</u>: ![\large x^\text{$ \dfrac{m}{n} $} = \large \text{$ \sqrt[n]{x^m} $}](https://tex.z-dn.net/?f=%5Clarge%20x%5E%5Ctext%7B%24%20%5Cdfrac%7Bm%7D%7Bn%7D%20%24%7D%20%3D%20%5Clarge%20%5Ctext%7B%24%20%5Csqrt%5Bn%5D%7Bx%5Em%7D%20%24%7D)
- a number raised to a fraction, can be converted to a radical.
- the numerator becomes the exponent, and the denominator becomes the index of the radical.
<u>Product of Powers Property:</u>
- when multiplying powers with the same base, add the exponents.
1. Convert into a radical:
![\sqrt[2]{20^5} \implies \sqrt{20^5}](https://tex.z-dn.net/?f=%5Csqrt%5B2%5D%7B20%5E5%7D%20%5Cimplies%20%5Csqrt%7B20%5E5%7D)
2. Simplify the expression:
![\sqrt{20^2\times20^2\times20^1}\\\\\implies \sqrt{20^4\times20}\\\\\implies 20^2\sqrt{20}\\\\\implies 20^2\sqrt{4\times5}\\\\\implies 20^2\times2\sqrt{5}](https://tex.z-dn.net/?f=%5Csqrt%7B20%5E2%5Ctimes20%5E2%5Ctimes20%5E1%7D%5C%5C%5C%5C%5Cimplies%20%5Csqrt%7B20%5E4%5Ctimes20%7D%5C%5C%5C%5C%5Cimplies%2020%5E2%5Csqrt%7B20%7D%5C%5C%5C%5C%5Cimplies%2020%5E2%5Csqrt%7B4%5Ctimes5%7D%5C%5C%5C%5C%5Cimplies%2020%5E2%5Ctimes2%5Csqrt%7B5%7D)
3. Evaluate the power:
![20\times20\times2\sqrt{5}\\\\\implies 400\times2\sqrt{5}](https://tex.z-dn.net/?f=20%5Ctimes20%5Ctimes2%5Csqrt%7B5%7D%5C%5C%5C%5C%5Cimplies%20400%5Ctimes2%5Csqrt%7B5%7D)
4. Multiply:
![(400\times2)\sqrt{5}\\\\\implies800\sqrt{5}](https://tex.z-dn.net/?f=%28400%5Ctimes2%29%5Csqrt%7B5%7D%5C%5C%5C%5C%5Cimplies800%5Csqrt%7B5%7D)
Answer:
Senior citizen tickets = 9
Student tickets = 10
Step-by-step explanation:
We begin by converting the question into simultaneous linear equations;
Senior citizen tickets = a
Student tickets = b
4a + 6b = 96
8a + 13b = 202
to find a,
if 4a +6b = 96
a = 96/4 - 6b/4
a = 24 - 1.5b
We now substitute this into the second equation
8(24 - 1.5b) + 13b = 202
192 - 12b + 13b = 202
b = 202 - 192
b = 10
We now put the value of b in either equation
4a + 6b = 96
4a + 6(10) = 96
4a + 60 = 96
4a = 96 - 60
4a = 36
a = 9
The answer is inconsistent
Answer:
P= 3.27
Step-by-step explanation:
Hope this helps sorry for the crumbled paper