Answer:
4 eggs per hen
Step-by-step explanation:
You would need to divide the total number of eggs by the number of hens to see how many each one would produce:
Thus, 64/16 = 4
That gets you 4 eggs per hen!
T M - time that Maria drove;
49 * t C + 52 * t M = 191
t C + T M = 3.8 hours
t C = 3.8 - t M
49 * ( 3.8 - t M ) + 52 * t M = 191
186.2 - 49 t M + 52 t M = 191
3 t M = 191 - 186.2
3 t M = 4.8
t M = 4.8 : 3
t M = 1.6 hours
Answer:
Maria drove 1.6 hours.
Answer:
The distributive property is to multiply the outside of a parenthesis by each term inside, for example:
![x(y+z)=xy+xz](https://tex.z-dn.net/?f=x%28y%2Bz%29%3Dxy%2Bxz)
this cannot be done with the trigonometric functions such as the sine.
An example of this:
let's prove that we don't get the correct result using the distributive property in the following expression:
≠ ![sin(\pi)+sin(\pi/2)](https://tex.z-dn.net/?f=sin%28%5Cpi%29%2Bsin%28%5Cpi%2F2%29)
We add the elements in the parentheses on the left side:
≠ ![sin(\pi)+sin(\pi/2)](https://tex.z-dn.net/?f=sin%28%5Cpi%29%2Bsin%28%5Cpi%2F2%29)
this are known values of the sine function:
![sin(3\pi/2)=-1](https://tex.z-dn.net/?f=sin%283%5Cpi%2F2%29%3D-1)
![sin(\pi)=0](https://tex.z-dn.net/?f=sin%28%5Cpi%29%3D0)
![sin(\pi/2)=1](https://tex.z-dn.net/?f=sin%28%5Cpi%2F2%29%3D1)
substituting these values we will get that:
-1 ≠ 0 +1
-1 ≠ 1
Thus we notice that we don't get the correct result using the distributive property.
The correct way to express the angle sum in the sine function is:
![sin(a+b)=sin(a)cos(b)+sin(b)cos(a)](https://tex.z-dn.net/?f=sin%28a%2Bb%29%3Dsin%28a%29cos%28b%29%2Bsin%28b%29cos%28a%29)
1) D
2) D
3) C
Hope it helps!! :)