The simplified expression of 32/5 x 3(-7/5) is -672/25
<h3>How to simplify the expression?</h3>
The mathematical expression is given as:
32/5 x 3(-7/5)
Evaluate the product of 3 and -7/5
32/5 x 3(-7/5) = 32/5 x -21/5
Evaluate the product of 32 and -21
32/5 x 3(-7/5) = 672/5 x -1/5
Evaluate the product of 5 and 5
32/5 x 3(-7/5) = 672/25 x -1
So, we have:
32/5 x 3(-7/5) = -672/25
Hence, the simplified expression of 32/5 x 3(-7/5) is -672/25
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we know that
surface area of the cylinder=2*{area of the base}+perimeter of base*height
area of the base=pi*r²
r=40 ft
Area of base=pi*40²
Area of the base=1600*pi ft²
Perimeter of the base=2*pi*r
Perimeter of the base=2*pi*40
Perimeter of the base=80*pi ft
surface area of the cylinder=2*1600*pi+80*pi*17
surface area=4560*pi ft²
therefore
the answer is the option
4560π ft2
<h3>Answer:
10000 in base 5</h3>
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Explanation:
4+1 = 5 in base 10
But in base 5, the digit "5" does not exist.
The only digits in base five are: 0, 1, 2, 3, 4
This is similar to how in base ten, the digits span from 0 to 9 with the digit "10" not being a thing (rather it's the combination of the digits "1" and "0" put together).
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Anyways let's go back to base 5.
Instead of writing 4+1 = 5, we'd write 4+1 = 10 in base 5. The first digit rolls back to a 0 and we involve a second digit of 1.
Think how 9+1 = 10 in base 10.
Similarly,
44+1 = 100 in base 5
444+1 = 1000 in base 5
4444+1 = 10000 in base 5
and so on.
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Here are the first few numbers in base 5, when counting up by 1 each time.
0, 1, 2, 3, 4,
10, 11, 12, 13, 14,
20, 21, 22, 23, 24,
30, 31, 32, 33, 34,
40, 41, 42, 43, 44,
100, 101, 102, 103, ...
Notice each new row is when the pattern changes from what someone would expect in base 10. This is solely because the digit "5" isn't available in base 5.
Graham: -50x + 14,040
Max: 20x + 12,500
Graham = Max
-50x + 14,040 = 20x + 12,500
<u>+50x </u> <u>+50x </u>
14,040 = 70x + 12,500
<u> -12,500 </u> <u> -12.500 </u>
1,540 = 70x
220 = x
Answer: 220 minutes <em>(3 hours 40 minutes)</em>
