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ser-zykov [4K]
3 years ago
14

A number to the 12th power divided by the same number to the 9th power equals 512.

Mathematics
1 answer:
Mazyrski [523]3 years ago
5 0
Explanation:
Let's call our number
a
. The statement written as a formula is
a
12
a
9
=
125
We can simplify the fraction, and we have
a
3
=
125
To solve for
a
, take the third root of both sides:
a
=
(
125
)
1
3
=
5
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A liquid is 45°C. The temperature needs to be reduced by 3/8 of the current value. What does the new temperature need to be?
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Answer:

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Step-by-step explanation:

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3 years ago
6x + 2y = 12 solve for y
RUDIKE [14]
Subtract 6x from both sides to get:

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4 0
3 years ago
The chair lift at Hoodoo ski resort travels 1/16 mile in 3/4 minute. What is the unit rate?
tankabanditka [31]
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3 years ago
Read 2 more answers
What are the values the values of a and b?
Setler [38]
The segment marked 20 is the geometric mean of the two pieces into which it splits the hypotenuse. You get the proportion

\frac{20}{a} = \frac{21}{20}

Solving,

21a =(20)(20) \\ 21a = 400 \\ a = \frac{400}{21}

To find  b,  use the fact that  b  is the geometric mean of the whole hypotenuse, 21 + a, and the part that is attached to it,  a.

\frac{b}{a} = \frac{21+a}{b}

A little arithmetic shows that 21+a = \frac{841}{21}.

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4 0
4 years ago
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