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sleet_krkn [62]
3 years ago
12

You are paid 82.50 for 7 1/2 hours of work.what is your rate of pay

Mathematics
1 answer:
lana [24]3 years ago
7 0
Hello! So we are talking about $82.50 earned for 7 ½ hours of work. 7 ½ is equivalent to 7.5. To find the rate of pay, all you have to do is divde the amount earned by the number of hours worked. 82.50/7.5 is 11. Let's check it by multiplying to make sure it works. 11 * 7.5 is 82.5. 82.50 = 82.5. There. Your rate of pay is $11 per hour.
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Here we need to compare the orders of magnitude of two measures.

We will see that the bacteria is<em> 300 times larger than the virus.</em>

We know that:

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The diameter of the bacteria cell is:

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So, to compare them, first notice that both are in the same units, meters, so we only need to <u>compare the numbers</u>.

Is common sense to identify the one with the largest exponent as the largest number, and the largest exponent is -7, thus <u>the bacteria should be the larger one.</u>

But let's prove this with math, remember the property:

\frac{a^n}{a^m} = a^{n - m}

Let's take the quotient between the diameters and see what we get, I will use the <u>diameter of the bacteria in the numerator</u>, thus <u>if the quotient is larger than 1, it would mean that the bacteria is greater and by how much.</u>

quotient = \frac{ 9 \cdot 10^{-7} m}{ 3 \cdot 10^{-9} m}  = \frac{9}{3} \cdot 10^{-7 + 9}\\\\= 3*10^2

So we can say that the bacteria is 3*10^2 = 3*100 = 300 times larger than the virus.

If you want to learn more, you can read:

brainly.com/question/4953281

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