Yes, that was graphed correctly. :)
Answer:
Pies=$0.85
Donuts= $1.20
Step-by-step explanation:
In the equation let p stand for the number of pies and d stand for the number of donuts.
To solve this set up 2 equations, one representing bill and the other representing Mary Ann.
- Bill's equation is 5p+7d=$12.65.
- Mary Ann's equation is 6p+6d=$12.30
Then solve using a system of equations. Systems of equations can be solved using elimination or substitution. I will use substitution. Solve bill's equation for p. This gives you
. Then, you can substitute that into Mary Ann's equation. This looks like
. Solve for d. Once you solve d=1.20. Finally, substitute 1.20 back into either Bill's or Mary Ann's for d and solve for p. No matter which equation you use p=0.85.
He is left with 12
1/5 of 10 is 2 so he was left with 8
2*2 is 4, and 8+4 is 12!
Hope this helps and have a great day!
Answer:
The measure of the angle
is approximately 44.040°.
Step-by-step explanation:
We need to apply Law of the Sine to determine the value of angle
, since the length of the side opposite to this side and another side length and its opposite angle are known. That is:
![\frac{3.6}{\sin b} = \frac{5.1}{\sin 100^{\circ}}](https://tex.z-dn.net/?f=%5Cfrac%7B3.6%7D%7B%5Csin%20b%7D%20%3D%20%5Cfrac%7B5.1%7D%7B%5Csin%20100%5E%7B%5Ccirc%7D%7D)
![\sin b = \frac{3.6}{5.1}\times \sin 100^{\circ}](https://tex.z-dn.net/?f=%5Csin%20b%20%3D%20%5Cfrac%7B3.6%7D%7B5.1%7D%5Ctimes%20%5Csin%20100%5E%7B%5Ccirc%7D)
![b = \sin^{-1}\left(\frac{3.6}{5.1}\times \sin 100^{\circ} \right)](https://tex.z-dn.net/?f=b%20%3D%20%5Csin%5E%7B-1%7D%5Cleft%28%5Cfrac%7B3.6%7D%7B5.1%7D%5Ctimes%20%5Csin%20100%5E%7B%5Ccirc%7D%20%5Cright%29)
![b \approx 44.040^{\circ}](https://tex.z-dn.net/?f=b%20%5Capprox%2044.040%5E%7B%5Ccirc%7D)
The measure of the angle
is approximately 44.040°.