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Wittaler [7]
3 years ago
8

(27/64) to the power of -2/3

Mathematics
2 answers:
meriva3 years ago
4 0

Answer:

16/9

Step-by-step explanation:

Nataly [62]3 years ago
3 0
27/64^-2/3=16/9.......
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A 10ft by 20ft rectangular swimming pool is surrounded by a walkway of uniform width. If the total area of the walkway is 216ft^
Dmitry [639]

check the picture below.


so, we know the dimensions of the pool, is a 20x10, so its area is simply 200 ft², and we know the walkway is 216 ft², so the whole thing, including pool and walkway is really 200 + 216 ft².


now, as you see in the picture, the dimensions for the combined area is 20+2x and 10+2x, since the walkway is "x" long, therefore,


\bf \stackrel{length}{(20+2x)}\stackrel{width}{(10+2x)}=200+216\implies \stackrel{FOIL}{4x^2+60x+200}=200+216 \\\\\\ 4x^2+60x=216\implies \stackrel{dividing~by~4}{x^2+15x=54} \\\\\\ x^2+15x-54=0\implies (x+18)(x-3)=0\implies x= \begin{cases} -18\\ \boxed{3} \end{cases}


notice, it cannot be -18, since is a positive length unit.

5 0
2 years ago
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Ginny is studying a population of frogs. She determines that the population is decreasing at an average rate of 3% per year. Whe
Gala2k [10]

Answer:

f(x) = 1,200 * (0.97)ˣ

Step-by-step explanation:

6 0
3 years ago
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PLS HELP!! I WILL GIVE THE FIRST GOOD ANSWER BRAINLIEST!!!
goldenfox [79]

Answer:

in my opinion I think the answer is a because I don't know why

Step-by-step explanation:

5 0
2 years ago
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What is the definition of a chronological structure?
Y_Kistochka [10]

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2 years ago
a sock drawer has 6 white socks, 6 brown socks, and 4 black socks. you randomly pick 2 socks and get a matching pair of black so
klasskru [66]

Answer:

1/20

Step-by-step explanation:

Remark: Not huge

Total number of Socks: 6 + 6 + 4 = 16

P(First Black Sock):  4/16 = 1/4

The second Sock needs to be discussed a bit. The number of black  socks has gone down to 1 and the total will always go down by 1.

Second Sock: 3 Black / 15 Total = 3/15 = 1/5

Combined Probability: 1/4 * 1/5 = 1/20

5 0
3 years ago
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