Answer:
StartFraction 25 Over 9 EndFraction
Step-by-step explanation:
![\bigg( \huge{\frac{ {3}^{2}a ^{ - 2} }{3 {a}^{ - 1} }} \bigg)^{k} \\ \\ = \bigg( \huge{\frac{ 9a }{3 {a}^{ 2} }} \bigg)^{k} \\ \\ = \bigg( \huge{\frac{ 3 }{ {a}}} \bigg)^{k} \\ \\ = \bigg( \huge{\frac{ 3 }{ {5}}} \bigg)^{ - 2} \\ \\ = \bigg( \huge{\frac{ 5 }{ {3}}} \bigg)^{ 2} \\ \\ = \huge{\frac{ 25 }{ {9}}}](https://tex.z-dn.net/?f=%20%20%5Cbigg%28%20%20%5Chuge%7B%5Cfrac%7B%20%7B3%7D%5E%7B2%7Da%20%5E%7B%20-%202%7D%20%20%7D%7B3%20%7Ba%7D%5E%7B%20-%201%7D%20%7D%7D%20%5Cbigg%29%5E%7Bk%7D%20%20%5C%5C%20%20%5C%5C%20%20%3D%20%20%5Cbigg%28%20%20%5Chuge%7B%5Cfrac%7B%209a%20%20%20%7D%7B3%20%7Ba%7D%5E%7B%202%7D%20%7D%7D%20%5Cbigg%29%5E%7Bk%7D%20%20%5C%5C%20%20%5C%5C%20%20%3D%20%5Cbigg%28%20%20%5Chuge%7B%5Cfrac%7B%203%20%20%20%7D%7B%20%7Ba%7D%7D%7D%20%5Cbigg%29%5E%7Bk%7D%20%20%5C%5C%20%20%5C%5C%20%20%3D%20%5Cbigg%28%20%20%5Chuge%7B%5Cfrac%7B%203%20%20%20%7D%7B%20%7B5%7D%7D%7D%20%5Cbigg%29%5E%7B%20-%202%7D%20%20%20%5C%5C%20%20%5C%5C%20%20%3D%20%5Cbigg%28%20%20%5Chuge%7B%5Cfrac%7B%205%20%20%20%7D%7B%20%7B3%7D%7D%7D%20%5Cbigg%29%5E%7B%202%7D%20%20%5C%5C%20%20%5C%5C%20%20%3D%20%20%20%5Chuge%7B%5Cfrac%7B%2025%20%20%20%7D%7B%20%7B9%7D%7D%7D%20)
Answer:
-3/4 is a rational number because it is not a non-terminating and non-repeating number. It is not an integer because it is not a whole number.
Step-by-step explanation:
I hope I was right :D
Answer:
Gabe worked for 6 2/3 hours and Paula worked for 4 hours.
Step-by-step explanation:
It is given that,
Diana worked on her science project for 5 1/3 hours.
Gabe worked on his science project 1 1/4 times as long as Diana.
Paula worked on her science project 3/4 as long as Diana.
Solution,
ATQ,
Gabe worked for :
![5\dfrac{1}{3}\times 1\dfrac{1}{4}\\\\=\dfrac{16}{3}\times \dfrac{5}{4}\\\\=\dfrac{20}{3}\ h\\\\=6\dfrac{2}{3}\ h](https://tex.z-dn.net/?f=5%5Cdfrac%7B1%7D%7B3%7D%5Ctimes%201%5Cdfrac%7B1%7D%7B4%7D%5C%5C%5C%5C%3D%5Cdfrac%7B16%7D%7B3%7D%5Ctimes%20%5Cdfrac%7B5%7D%7B4%7D%5C%5C%5C%5C%3D%5Cdfrac%7B20%7D%7B3%7D%5C%20h%5C%5C%5C%5C%3D6%5Cdfrac%7B2%7D%7B3%7D%5C%20h)
Pauls worked for :
![\dfrac{3}{4}\times 5\dfrac{1}{3}\\\\=\dfrac{3}{4}\times \dfrac{16}{3}\\\\=4\ h](https://tex.z-dn.net/?f=%5Cdfrac%7B3%7D%7B4%7D%5Ctimes%205%5Cdfrac%7B1%7D%7B3%7D%5C%5C%5C%5C%3D%5Cdfrac%7B3%7D%7B4%7D%5Ctimes%20%5Cdfrac%7B16%7D%7B3%7D%5C%5C%5C%5C%3D4%5C%20h)
Hence, Gabe worked for 6 2/3 hours and Paula worked for 4 hours.
The statement that best describes the results is in tank 1, the rate at which water is used is higher.
<h3>What is the rate for each tank?</h3>
Tank 1:
- Total of water used/ time
- 177.12/4 = 44.28 gallons per hour
Tank 2:
- 160/ 4 = 40 gallons per hour
<h3>What are the results?</h3>
The rate in tank 1 is higher than the rate in tank 2.
Learn more about rate in: brainly.com/question/14731228
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Answer:
Hi, its been a while, dude, why is all your stuff deleted? Plus I already know I am going to be reported for this answer so ya
Step-by-step explanation: