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3 years ago

One uranium atom has a diameter of 3.5x10^-8 centimeters. What is the sum of 10,000 uranium atoms'

Mathematics

1 answer:

Vladimir [108]3 years ago

6 0

Answer:

3.5 * 10^-4 centimeters

Step-by-step explanation:

Here, we have one uranium atom having a diameter of 3.5 * 10^-8 centimeters.

We now want to find the sum of 10,000 uranium atoms diameters

Mathematically;

That would be ;

3.5 * 10^-8 * 10,000

But 10,000 = 10^4

Thus, we have

3.5 * 10^-8 * 10^4

= 3.5 * 10^-4 centimeters

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3 years ago

If john makes a contribution to a charity fund at school, the average contribution size will increase by 50% reaching $75 per pe

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Answer:

$Z= 75*6 -250=200$

So then the correct answer is B. $200.

Step-by-step explanation:

Notation

Let X be the average contribution size before John makes his contribution.

Let Y be the total contribution size before John makes his contribution.

Let Z be John's contribution.

We know that for this case $ 75 represent the original average amount before the contribution with 50% increase so we can set up the following equation in order to find the original average amount

$1.5 X = 75$

And solvong for X we got:

$X = \frac{75}{1.5}= 50$

Now we can find the total contribution before the donation with the following proportion:

$\frac{50}{1}= \frac{Y}{5}$

$Y = 250$

And then with the formula of average taking in count the 6 values we can find the size of donation Z like this:

$\frac{Y+Z}{6}= 75$

$\frac{250+Z}{6}= 75$

$Z= 75*6 -250=200$

So then the correct answer is B. $200.

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Step-by-step explanation:

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