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marin [14]
2 years ago
11

Write $6.45$ as a reduced fraction.

Mathematics
1 answer:
denis-greek [22]2 years ago
5 0

Do you want to know how to write the decimal number 6.45 as a fraction?

Here we will show you step-by-step how to convert 6.45 so you can write it as a fraction.

You can take any number, such as 6.45, and write a 1 as the denominator to make it a fraction and keep the same value, like this:

6.45 / 1

To get rid of the decimal point in the numerator, we count the numbers after the decimal in 6.45, and multiply the numerator and denominator by 10 if it is 1 number, 100 if it is 2 numbers, 1000 if it is 3 numbers, and so on.

Therefore, in this case we multiply the numerator and denominator by 100 to get the following fraction:

645 / 100

Then, we need to divide the numerator and denominator by the greatest common divisor (GCD) to simplify the fraction.

The GCD of 645 and 100 is 5. When we divide the numerator and denominator by 5, we get the following:

129 / 20

Therefore, 6.45 as a fraction is as follows:

129 / 20

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Answer:

$1050

$54,600

Step-by-step explanation:

In this question, we are looking at calculating two things. We want to calculate the amount of commission made in a week and the amount made in a year.

Firstly, to calculate the amount of commission she made last week, we simply find the percentage.

Mathematically, this is equal simply to:

14% of $7,500 = 14/100 * 7500 = $1050

She made a commission of $1050 last week

Now, we are told this is the average she makes per week. We now want to calculate how much she makes per year. To do this, what we do is to multiply what she had made in a week by the number of weeks in a year.

The number of weeks in a year is 52. The amount she made is just 52 * $1050 = $54,600

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3 years ago
Identify the converse of the statement R → S: "If it rains, then he will stay home."
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Answer:

The correct option C:

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Step-by-step explanation:

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If the statement is given:

R → S: "If it rains, then he will stay home."

Then its Converse will be:

S → R: If he stays home, then it will rain.

Its Inverse will be:

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Its Contrapositive will be the inverse of the converse.

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A study of a population of 1,200 tigers revealed that 6 out of every 150 tigers in the
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<h3>Answer:  1152 </h3>

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That leaves 100% - 4% = 96% that aren't albino.

96% of 1200 = 0.96*1200 = 1152

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Another way to look at it:

4% of the population are albino, so there are 0.04*1200 = 48 albino tigers.

This means there are 1200-48 = 1152 non-albino tigers.

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