Answer:
14, sqrt(200), 15
Step-by-step explanation:
14 is the least sqrt(200) equals 14.14 then 15
Answer:
x=-7
Step-by-step explanation:
convert to decimals 0.5(x+3)=0.4(x+2)
simplify the brackets 0.5x+1.5=0.4x+0.8
isolate x to one side 0.1x=-1/7
divide both sides by 0.1 x=-7
For this case we have that the expression in its exact form is the same, that is:
![5 \sqrt {10}](https://tex.z-dn.net/?f=5%20%5Csqrt%20%7B10%7D)
If it is expressed in decimal form we have:
![5 \sqrt {10} = 1.5849](https://tex.z-dn.net/?f=5%20%5Csqrt%20%7B10%7D%20%3D%201.5849)
If we want equivalent expressions, we must first mention the following property of powers and roots:
![\sqrt [n] {a ^ m} = a ^ {\frac {m} {n}}](https://tex.z-dn.net/?f=%5Csqrt%20%5Bn%5D%20%7Ba%20%5E%20m%7D%20%3D%20a%20%5E%20%7B%5Cfrac%20%7Bm%7D%20%7Bn%7D%7D)
Then, we can rewrite the expression as:
![5 \sqrt {10} = \sqrt {5 ^ 2 * 10} = \sqrt {25 * 10} = \sqrt {250}](https://tex.z-dn.net/?f=5%20%5Csqrt%20%7B10%7D%20%3D%20%5Csqrt%20%7B5%20%5E%202%20%2A%2010%7D%20%3D%20%5Csqrt%20%7B25%20%2A%2010%7D%20%3D%20%5Csqrt%20%7B250%7D)
Answer:
![5 \sqrt {10} = \sqrt {250} = 1.5849](https://tex.z-dn.net/?f=5%20%5Csqrt%20%7B10%7D%20%3D%20%5Csqrt%20%7B250%7D%20%3D%201.5849)
Isolate for x
First expand the bracket to
12x^2 - 15x = 12x - 5
Move everything to one side
12x^2 - 27x + 5
Use quadratic formula and sub in values
X = 2.046989
X = 0.203610
By using the concept and properties of percentages, we conclude that the hospital has a total of 300 beds.
<h3>How many beds are available in a hospital?</h3>
In accordance with the statement, there are 210 patients in the beds of a hospital and 30 % of the beds are available. We must take advantage of the concept of percentage to calculate the total number of beds. 210 patients occupy 70 % of the beds.
Then, the total number of beds at the hospital is determined by dividing the number of beds with patients and its respective percentage:
n = 210 / 70 %
n = 210 / (70 / 100)
n = (210 · 100) / 70
n = 300
To learn more on percentages: brainly.com/question/26080842
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