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Gnom [1K]
3 years ago
5

Convert the fraction 7 24 into a repeating decimal.

Mathematics
1 answer:
goldenfox [79]3 years ago
6 0
\dfrac7{24}=\dfrac6{24}+\dfrac1{24}=\dfrac14+\dfrac1{24}

\dfrac1{24}=\dfrac1{8\time3}=\dfrac a8+\dfrac b3=\dfrac{3a+8b}{24}
\implies3a+8b=1

We can choose a=-1 and b=\dfrac12, so that

\dfrac1{24}=-\dfrac18+\dfrac16

Recalling that \dfrac13=0.333\ldots, it follows that \dfrac16=0.166\ldots. So,

\dfrac1{24}=0.125+0.166\ldots=0.04166\ldots
\implies\dfrac7{24}=0.25+0.4166\ldots=0.29166\ldots
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2 years ago
Given that (-8,- 7) in on the graph of f(x), find the corresponding point for the fuction f(x -4)
kiruha [24]
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(-8,-7)=(x1,y1)→x1=-8, y1=-7
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(x1-a, y1)=(-8-(-4), -7)=(-8+4, -7)=(-4,-7)

<span>The corresponding point for the fuction f(x -4) is (-4,-7)</span>
8 0
3 years ago
Loni needs between 3.5 and 7.2 volts of energy, not inclusive, to make an experiment work correctly. Write a compound inequality
Evgesh-ka [11]

Answer:

<em>The compound inequality that shows the voltage amount the necessary range is  3.5</em>

Step-by-step explanation:

Loni needs between 3.5 and 7.2 volts of energy, not inclusive, to make an experiment work correctly.

That means, <u>the voltage amount should be either greater than 3.5 volts or less than 7.2 volts</u>.

Suppose, the amount of voltage is V volts to make the experiment work correctly.

Now, Voltage amount is greater than 3.5 volts means:  V>3.5 or 3.5

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5 0
3 years ago
Whats (12-7) x (8-5) - 7 and (16-4) + (10 - 12 divided by 3)
zalisa [80]

Answer:

The answer would be 26

Step-by-step explanation: (Broken down into 2 parts)

-PART ONE- solving (12-7) x (8-5) -7

(12-7) x (8-5) -7 (do whats in parentheses first)

(5)x (3) -7 (multiply 5x3)

15-7 (subtract)

ANSWER- 8

-PART TWO- solving (16-4) + (10 - 12 divided by 3)

(16-4) + (10 - 12 divided by 3) (do what is in parentheses)

12 + 10-4 (add)

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ANSWER- 18

Now combine the two answers 18+8 and you get 26

Therefore, 26 is the final answer.

Hope this helps!!

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2 years ago
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