Answer:
![\large\boxed{53.9ml=0.0539l}](https://tex.z-dn.net/?f=%5Clarge%5Cboxed%7B53.9ml%3D0.0539l%7D)
Step-by-step explanation:
![1l=1,000ml\to1ml=\dfrac{1}{1,000}l=0.001l\\\\\text{Therefore}\\\\53.9ml=53.9\cdot0.001l=0.0539l](https://tex.z-dn.net/?f=1l%3D1%2C000ml%5Cto1ml%3D%5Cdfrac%7B1%7D%7B1%2C000%7Dl%3D0.001l%5C%5C%5C%5C%5Ctext%7BTherefore%7D%5C%5C%5C%5C53.9ml%3D53.9%5Ccdot0.001l%3D0.0539l)
Question:
Suppose that the populations of the United States and China both increase by 12 million people in one year. What would be the relative change for each country? Answer to the nearest tenth of a percent (1 decimal place). Make sure that you fill in each answer area before checking "How Did I Do?".
If you assume that the U.S. population is about 300 million, an increase of 12 million would result in a relative change of Number %.
If you assume that China has about 1 billion people, an increase of 12 million would result in a relative change of Number %.
Answer:
The relative change of the United States and China is 4% and 1.2%, respectively.
Step-by-step explanation:
Given
Represent population with p. So, we have:
United States
![\triangle p = 12\ million](https://tex.z-dn.net/?f=%5Ctriangle%20p%20%3D%2012%5C%20million)
![p_1 =300\ million](https://tex.z-dn.net/?f=p_1%20%3D300%5C%20million)
China
![\triangle p = 12\ million](https://tex.z-dn.net/?f=%5Ctriangle%20p%20%3D%2012%5C%20million)
![p_1 =1\ billion](https://tex.z-dn.net/?f=p_1%20%3D1%5C%20billion)
Required
Determine the relative change for each country
Relative change, C is calculated as:
![C = \frac{\triangle p}{p} * 100\%](https://tex.z-dn.net/?f=C%20%3D%20%5Cfrac%7B%5Ctriangle%20p%7D%7Bp%7D%20%2A%20100%5C%25)
For United States
![C = \frac{12\ million}{300\ million} * 100\%](https://tex.z-dn.net/?f=C%20%3D%20%5Cfrac%7B12%5C%20million%7D%7B300%5C%20million%7D%20%2A%20100%5C%25)
![C = \frac{12}{300} * 100\%](https://tex.z-dn.net/?f=C%20%3D%20%5Cfrac%7B12%7D%7B300%7D%20%2A%20100%5C%25)
![C = \frac{12 * 100}{300}\%](https://tex.z-dn.net/?f=C%20%3D%20%5Cfrac%7B12%20%2A%20100%7D%7B300%7D%5C%25)
![C = \frac{1200}{300}\%](https://tex.z-dn.net/?f=C%20%3D%20%5Cfrac%7B1200%7D%7B300%7D%5C%25)
![C = 4\%](https://tex.z-dn.net/?f=C%20%3D%204%5C%25)
For China
![C = \frac{12\ million}{1\ billion} * 100\%](https://tex.z-dn.net/?f=C%20%3D%20%5Cfrac%7B12%5C%20million%7D%7B1%5C%20billion%7D%20%2A%20100%5C%25)
![C = \frac{12}{1000} * 100\%](https://tex.z-dn.net/?f=C%20%3D%20%5Cfrac%7B12%7D%7B1000%7D%20%2A%20100%5C%25)
![C = \frac{12* 100}{1000} \%](https://tex.z-dn.net/?f=C%20%3D%20%5Cfrac%7B12%2A%20100%7D%7B1000%7D%20%5C%25)
![C = \frac{1200}{1000} \%](https://tex.z-dn.net/?f=C%20%3D%20%5Cfrac%7B1200%7D%7B1000%7D%20%5C%25)
![C = 1.2\%](https://tex.z-dn.net/?f=C%20%3D%201.2%5C%25)
The relative change of the United States and China is 4% and 1.2%, respectively.
12.072 is irrational because it cannot be simplified into a fraction or ratio.
Answer:
C
Step-by-step explanation:
Legs are the sides of an isosceles triangle that aren't the base, so in this case ZX would be the base. This rule is only for isosceles triangles. It doesn't apply to any other type of triangle.
Hope I helped, sorry if I'm wrong!
~Mschmindy
Answer:
![x = \{13,14\}](https://tex.z-dn.net/?f=x%20%3D%20%5C%7B13%2C14%5C%7D)
Step-by-step explanation:
Given
![x + 2x + 6 < 50](https://tex.z-dn.net/?f=x%20%2B%202x%20%2B%206%20%3C%2050)
Required
True values of x
We have:
![x + 2x + 6 < 50\\](https://tex.z-dn.net/?f=x%20%2B%202x%20%2B%206%20%3C%2050%5C%5C)
![3x + 6 < 50](https://tex.z-dn.net/?f=3x%20%2B%206%20%3C%2050)
Collect like terms
![3x < 50-6](https://tex.z-dn.net/?f=3x%20%3C%2050-6)
![3x < 44](https://tex.z-dn.net/?f=3x%20%3C%2044)
Divide both sides by 3
![x < 44/3](https://tex.z-dn.net/?f=x%20%3C%2044%2F3)
![x < 14.67](https://tex.z-dn.net/?f=x%20%3C%2014.67)
This means that x has a value lesser than 14.67.
Hence, the valid values are:
![x = \{13,14\}](https://tex.z-dn.net/?f=x%20%3D%20%5C%7B13%2C14%5C%7D)