2 years ago

What percent is 75 of 100? Write the percent as a fraction.

Mathematics

1 answer:

Juliette [100K]2 years ago

3 0

Answer:

75%

Step-by-step explanation:

or since a percent is a decimal then 0.75

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Select ALL statements that are true about the linear equation.

Yuri [45]

The answers are 2 and 4

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2 years ago

Divide the following by hand (long division). (Show your work ) 585 ÷ 13

slamgirl [31]

Answer: 45

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2 years ago

Darren fed his dog 3/4 pound of canned food and 1 1/3 pounds of dry food today. How many pounds of food was that in all?

Evgen [1.6K]

Answer:

2 1/12 lbs

Step-by-step explanation:

Add the canned and the dry together

3/4 + 1 1/3

Get a common denominator of 12

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9/12 + 1 4/12

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2 years ago

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2 years ago

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Determine whether the series is convergent or divergent. 1 4 + 3 16 + 1 64 + 3 256 + 1 1024 + 3 4096 +

Alla [95]

This series converges.

$S=\dfrac14+\dfrac3{16}+\dfrac1{64}+\dfrac3{256}+\dfrac1{1024}+\cdots$

$S=\left(\dfrac34+\dfrac3{16}+\dfrac3{64}+\dfrac3{256}+\dfrac3{1024}+\cdots\right)-\left(\dfrac12+\dfrac1{32}+\dfrac1{512}+\cdots\right)$

$S=\displaystyle\sum_{n=1}^\infty\frac3{4^n}-\sum_{n=0}^\infty\frac1{2^{4n+1}}$

Both component series are geometric with ratios less than 1, so they both converge.

$\displaystyle\sum_{n=1}^\infty\frac3{4^n}=1$

$\displaystyle\sum_{n=0}^\infty\frac1{2^{4n+1}}=\frac12\sum_{n=0}^\infty\frac1{16^n}=\frac8{15}$

So we have

$S=\dfrac7{15}$

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2 years ago