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4 years ago

Rename as a fraction and a decimal 55 5/9%

Mathematics

2 answers:

Nastasia [14]4 years ago

4 0

55 5/9 is the fraction and 55.56 is the decimal.

trasher [3.6K]4 years ago

3 0

You should know that 5/9 is 5 repeating, so the decimal is 55.5%(with a bar over the decimal part). 5/9 is the fraction

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Question in attachment

sdas [7]

Answer:

a₁ = 6

Step-by-step explanation:

The sum to n terms of a geometric sequence is

$S_{n}$ = $\frac{a_{1}(r^{n}-1) }{r-1}$

where a₁ is the first term and r the common ratio

Here $S_{8}$ = 1530 and r = 2, thus

$\frac{a_{1}(2^{8}-1) }{2-1}$ = 1530 , that is

a₁ (256 - 1) = 1530

255a₁ = 1530 ( divide both sides by 255 )

a₁ = 6

8 0

3 years ago

In place value the Relationship between 2,000 and 20 is how many times

Katen [24]

Answer:

100

Step-by-step explanation:

20 times 100 equals 2000

6 0

3 years ago

What is the square root of 864

skelet666 [1.2K]

There are two ways to evaluate the square root of 864: using a calculator, and simplifying the root.

The first method is simplifying the root. While this doesn't give you an exact value, it reduces the number inside the root.

Find the prime factorization of 864:

$\sqrt{864} = \sqrt{2 \cdot 2 \cdot 2 \cdot 2 \cdot 2 \cdot 3 \cdot 3 \cdot 3}$

Take any number that is repeated twice in the square root, and move it outside of the root:

$\sqrt{864} = \sqrt{(2 \cdot 2) \cdot (2 \cdot 2) \cdot 2 \cdot (3 \cdot 3) \cdot 3}$

$\sqrt{2 \cdot 2} = \sqrt{4} = 2$

$\sqrt{3 \cdot 3} = \sqrt{9} = 3$

$\sqrt{(2 \cdot 2) \cdot (2 \cdot 2) \cdot 2 \cdot (3 \cdot 3) \cdot 3} = \sqrt{(4) \cdot (4) \cdot 2 \cdot (9) \cdot 3}$

$\sqrt{(4) \cdot (4) \cdot 2 \cdot (9) \cdot 3} = (2 \cdot 2 \cdot 3) \sqrt{2 \cdot 3} = \boxed{12 \sqrt{6}}$

The simplified form of √864 will be 12√6.

The second method is evaluating the root. Using a calculator, we can find the exact value of √864.

Plugged into a calculator and rounded to the nearest hundredths value, √864 is equal to 29.39. Because square roots can be negative or positive when evaluated, this means that √864 is equal to ±29.39.

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3 years ago

Convert 7.23 (3 reapting) to a fraction

Svetllana [295]

$x=7.2\overline{3}\\\\10x=72.\overline{3}\\\\100x=723.\overline{3}\\\\100x-10x=723.\overline{3}-72.\overline{3}\\\\90x=651\\\\x=\dfrac{651}{90}=\dfrac{217}{30}$

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3 years ago

A tropical storm is classified as a hurricane when there are maximum sustained winds of

konstantin123 [22]

Answer: A hurricane usually takes days to develop. The fastest a hurricane might form is in 48 hours or two days. If a cluster of thunderstorms already exists then it might only take a day.

Step-by-step explanation:

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4 years ago