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Mila [183]
3 years ago
7

Prove that the value of the expression: (3^5 - 3^4)(3^3 + 3^2) is divisible by 24. Answer format: The value of the expression is

24 • __
Mathematics
1 answer:
liraira [26]3 years ago
4 0

Step-by-step explanation:

(3^5 - 3^4) (3^3 + 3^2)

= (243 - 81) (27 + 9)

= (162) (36)

= 5832

24 = 8*3

since 832 is divisible by 8 and 5+8+3+2 = 18 is divisible by 3

5832 is therefore divisible by 24

check:

5832/24 = 243

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Step-by-step explanation:

To figure out the tip, you need to find 20% of $52.60.

0.2×52.6=10.52

You should leave $10.52 for the waiter if you want to leave him exactly 20%.

To figure the tax, you need to find 8% of $52.60.

0.08×52.6=4.208

Next, add them up:

52.6+10.52+4.208=67.328

The total bill, including tax and tip, will be $67.33.

Solution: Estimating an answer

If you are not concerned whether you give the waiter exactly 20%, you can simply estimate the total bill. Tax and tip together are a little less than 30% and the bill is a little more than $50. Since 30% of 50 is 15, the tax and tip together are approximately $15. (Note that the exact calculation is $14.73.)

We can also estimate the total bill as $52 + $15 = $67, which is very close to the exact calculation of $67.33. This kind of estimating is a good way to check the answer to an exact calculation, and more like the way you would probably compute tax and a tip in a real restaurant. follow me entrust

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What is the length and width of a 84.5 square foot rug?<br><br> Will mark brainliest!!
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Answer:

I'm not sure but 13" by 6.5"?


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Answer:

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Step-by-step explanation:

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Answer:

m<A: 62

m<B: 54

Step-by-step explanation:

180 - 116 = 64

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