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3 years ago

How many digits are there in the smallest sequence of repeating digits in the decimal equivalent of 5/9

Mathematics

1 answer:

mestny [16]3 years ago

8 0

Answer:

Step-by-step explanation:

5/9 = 0.5555555

The smallest sequence of repeating digits in the decimal equivalent of 5/9

0.5

0.5 + 0.05

0.5 + 0.05 + 0.005

0.5 + 0.05 + 0.005 + 0.0005

Hence, the number of digit in the smallest sequence of repeating decimal is 1

5/9 = 0.5....

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3 years ago

Taylor and Anya are friends who live 63 miles apart. Sometimes on a Saturday, they ride toward each other's houses on their bike

amid [387]

Answer:

Anya rode at 8.5 miles per hour.

Step-by-step explanation:

We have been given that Taylor and Anya live 63 miles apart. One day they left their houses at 8 am and met at 11 am riding toward each other. Taylor rode at 12.5 miles per hour.

We can see that Taylor and Anya met after 3 hours as 11-8=3. This means that both rode their cycles for 3 hours.

Let us find distance covered by Taylor.

$\text{Distance}=\text{Speed*Time}$

$\text{Distance covered by Taylor}=12.5\frac{\text{Miles}}{\text{hour}}*3\text{ hours}}$

$\text{Distance covered by Taylor}=12.5*3\text{ Miles}$

$\text{Distance covered by Taylor}=37.5\text{ Miles}$

Therefore, Taylor covered 37.5 miles in 3 hours.

Let us find distance covered by Anya in 3 hours by subtracting distance covered by Taylor from total distance of 63 miles.

$\text{Distance covered by Anya in 3 hours}=(63-37.5)\text{ Miles}$

$\text{Distance covered by Anya in 3 hours}=25.5\text{ Miles}$

Now let us find speed at which Anya rode bike.

$\text{Speed}=\frac{\text{Distance}}{\text{Time}}$

$\text{Speed at which Anya rode the bike}=\frac{25.5\text{ Miles}}{3\text{ Hour}}$

$\text{Speed at which Anya rode the bike}=8.5\frac{\text{ Miles}}{\text{ Hour}}$

Therefore, Anya rode the bike at the speed of 8.5 miles per hour.

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3 years ago