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vodka [1.7K]
3 years ago
7

The volume of 10,000 drops of a liquid is 1 fluid ounce. What is the volume of 10 drops?

Mathematics
1 answer:
mart [117]3 years ago
5 0
1/100th of a fluid ounce because to get 10,000 to 10 you divide by 100 so you would divide 1 by 100 to get 1/100th of a fluid ounce.
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What is the solution to sqrt 17-x=x+3? Show your work.
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Answer:

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Step-by-step explanation:

Remember:

(\sqrt[n]{a})^n=a\\\\(a+b)=a^2+2ab+b^2

Given the equation \sqrt{17-x}=x+3, you need to solve for the variable "x" to find its value.

You need to square both sides of the equation:

(\sqrt{17-x})^2=(x+3)^2

17-x=(x+3)^2

Simplifying, you get:

17-x=x^2+2(x)(3)+3^2\\\\17-x=x^2+6x+9\\\\x^2+6x+9+x-17=0\\\\x^2+7x-8=0

Factor the quadratic equation. Find two numbers whose sum be 7 and whose product be -8. These are: -1 and 8:

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Let's check if the first solution is correct:

\sqrt{17-(1)}=(1)+3

4=4 (It checks)

Let's check if the second solution is correct:

\sqrt{17-(-8)}=(-8)+3

5\neq-5 (It does not checks)

Therefore, the solution is:

x=1

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