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MissTica
3 years ago
9

Write the denominator of the rational number257/500 in the form 2 m x 5 n , m and n are negative integers Hence write its decima

l expansion without actual division.
Mathematics
1 answer:
maw [93]3 years ago
6 0

Answer:

0.514

Step-by-step Explantion:

Denominator = 500 = 2^2 * 5^3

257/500 = 257/2^2*5^3 = 2*257/2*2^2*5^3 = 514/2^3*5^3 = 514/(2*5)^3 = 514/10^3 = 0.514

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(3x2 + 9x + 6) - (8x2 + 3x - 10) + (2x + 4)(3x - 7)
nika2105 [10]

Answer:

Let's simplify step-by-step.

3x2+9x+6−(8x2+3x−10)+(2x+4)(3x−7)

Distribute:

=3x2+9x+6+−8x2+−3x+10+(2x)(3x)+(2x)(−7)+(4)(3x)+(4)(−7)

=3x2+9x+6+−8x2+−3x+10+6x2+−14x+12x+−28

Combine Like Terms:

=3x2+9x+6+−8x2+−3x+10+6x2+−14x+12x+−28

=(3x2+−8x2+6x2)+(9x+−3x+−14x+12x)+(6+10+−28)

=x2+4x+−12

Answer:

=x2+4x−12

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3 years ago
What is the value of x when f(x) =0
MAVERICK [17]

Answer: -1, 2 and 4

Step-by-step explanation:

7 0
3 years ago
Factor the following expression using the GCF: 10ab + 20.
Lostsunrise [7]
The first one is 10ab + 20
3 0
3 years ago
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3) A jewelry store sells a popular line of charm
malfutka [58]

Answer:

Step-by-step explanation:

4 0
1 year ago
22. One kilometer is approximately 0.62 mile. What fraction represents this length?
bixtya [17]

<u><em>Answer:</em></u>

One kilometer is \frac{31}{50} miles

<u><em>Explanation:</em></u>

<u>To convert a decimal to a fraction:</u>

1- Write the decimal as a fraction whose denominator is 1

2- Multiply both numerator and denominator by multiples of 10 to eliminate the decimal point

3- Simplify the fraction you have

<u>Now, for the given problem:</u>

<u>The given decimal is 0.62, following the above steps:</u>

<u>Step 1: </u>

0.62 = \frac{0.62}{1}

<u>Step 2:</u>

We have two digits after the decimal point, so to eliminate the decimal point, we will multiply the numerator and the denominator by 100

0.62 = \frac{0.62}{1} * \frac{100}{100} = \frac{62}{100}

<u>Step 3:</u>

We can note that, in the fraction obtained from step 2, both the numerator and the denominator are divisible by 2, so we simplify as follows:

\frac{62}{100} = \frac{62/2}{100/2} =\frac{31}{50}

Hope this helps :)

6 0
3 years ago
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