No, because the eagles acid in its stomach is stronger and when the pellet is found most of the bones will be dissolved or disintegrated
Answer:
Mom would required 1 lbs of Sugar and 4 lbs of water.
Step-by-step explanation:
Given:
Amount of Sugar syrup Mom wants to make = 5 lbs
Percentile amount of syrup she needs to make = 20%
Solution:
Let amount of sugar to make 20% syrup be 'x'.
So by definition of proportion we get;
![\frac {x}{5}=\frac{20}{100}](https://tex.z-dn.net/?f=%5Cfrac%20%7Bx%7D%7B5%7D%3D%5Cfrac%7B20%7D%7B100%7D)
Now Multiplying both side by 5 we get;
![\frac {x}{5}\times5=\frac{20}{100}\times5\\\\x=1\ lbs](https://tex.z-dn.net/?f=%5Cfrac%20%7Bx%7D%7B5%7D%5Ctimes5%3D%5Cfrac%7B20%7D%7B100%7D%5Ctimes5%5C%5C%5C%5Cx%3D1%5C%20lbs)
So we can say that;
Amount of water = ![5-1=4 \ lbs](https://tex.z-dn.net/?f=5-1%3D4%20%5C%20lbs)
Hence Mom would required 1 lbs of Sugar and 4 lbs of water.
Using substitution:
first you have to express one variable in terms of the other, in this we can express y in terms of x:
![y = \frac{ - \frac{1}{2} x + 2}{3} \\ y = - x + 9](https://tex.z-dn.net/?f=y%20%3D%20%20%5Cfrac%7B%20-%20%20%5Cfrac%7B1%7D%7B2%7D%20x%20%2B%202%7D%7B3%7D%20%20%5C%5C%20y%20%3D%20%20-%20x%20%2B%209)
Since both expressions are equal to y, you have to equal both expressions like this:
![\frac{ - \frac{ 1}{2}x + 2 }{3} = - x + 9](https://tex.z-dn.net/?f=%20%5Cfrac%7B%20%20-%20%5Cfrac%7B%201%7D%7B2%7Dx%20%2B%202%20%7D%7B3%7D%20%20%3D%20%20-%20x%20%2B%209)
Now you can solve the equation:
![- \frac{1}{2} x + 2 = 3( - x + 9) \\ - \frac{ 1}{2}x + 2 = - 3x + 27 \\ \\ - \frac{1}{2} x + 3x = 27 - 2 \\ \frac{5}{2} x = 25 \\ x = \frac{(25)(2)}{5} \\ x = 10](https://tex.z-dn.net/?f=%20-%20%20%5Cfrac%7B1%7D%7B2%7D%20x%20%2B%202%20%3D%203%28%20-%20x%20%2B%209%29%20%5C%5C%20%20%20-%20%5Cfrac%7B%201%7D%7B2%7Dx%20%20%2B%202%20%3D%20%20-%203x%20%2B%2027%20%5C%5C%20%20%5C%5C%20%20-%20%20%5Cfrac%7B1%7D%7B2%7D%20x%20%2B%203x%20%3D%2027%20-%202%20%5C%5C%20%20%20%5Cfrac%7B5%7D%7B2%7D%20x%20%3D%2025%20%5C%5C%20x%20%3D%20%20%5Cfrac%7B%2825%29%282%29%7D%7B5%7D%20%20%5C%5C%20x%20%3D%2010)
Knowing x=10, you can use any of the expressions we found before to find y. In this case I'm going to use y= -x+9 because it's simpler but boy should give you the same result
![y = - (10) + 9 \\ y = - 1](https://tex.z-dn.net/?f=y%20%3D%20%20-%20%2810%29%20%2B%209%20%5C%5C%20y%20%3D%20%20-%201)
So, the answer is x=10 and y=-1
Answer:
11). x = 25.8°
12). x = 67.3°
Step-by-step explanation:
11). By using sine rule in the given triangle,
cos(x) = ![\frac{\text{Adjacent side}}{\text{Hypotenuse}}](https://tex.z-dn.net/?f=%5Cfrac%7B%5Ctext%7BAdjacent%20side%7D%7D%7B%5Ctext%7BHypotenuse%7D%7D)
cos(x) = ![\frac{27}{30}](https://tex.z-dn.net/?f=%5Cfrac%7B27%7D%7B30%7D)
x = ![\text{cos}^{-1}(\frac{9}{10} )](https://tex.z-dn.net/?f=%5Ctext%7Bcos%7D%5E%7B-1%7D%28%5Cfrac%7B9%7D%7B10%7D%20%29)
x = 25.84
x ≈ 25.8°
12). By applying tangent rule in the given triangle,
tan(x) = ![\frac{\text{Opposite side}}{\text{Adjacent side}}](https://tex.z-dn.net/?f=%5Cfrac%7B%5Ctext%7BOpposite%20side%7D%7D%7B%5Ctext%7BAdjacent%20side%7D%7D)
tan(x) = ![\frac{43}{18}](https://tex.z-dn.net/?f=%5Cfrac%7B43%7D%7B18%7D)
x = ![\text{tan}^{-1}(\frac{43}{18} )](https://tex.z-dn.net/?f=%5Ctext%7Btan%7D%5E%7B-1%7D%28%5Cfrac%7B43%7D%7B18%7D%20%29)
x = 67.29°
x ≈ 67.3°
You can share 5 apples with 7 friends by cutting each into pieces :) what I believe