Answer:
Step-by-step explanation:
1/3 x 1/3 in exponential notation is 1/3². you are multiplying a number by itself so its squared, ig you are multiplying a number by itself three times, then its cubed, with a 3.
Answer:
Step-by-step explanation:
Is a bien de su coma
Answer: $134.40
Step-by-step explanation: Just find 80% of 168. That is because 100 - 20 is 80. The question says 20% OFF.
<h2>
Answer:</h2>
The number of scoops of oatmeal he will need for the recipe is:
21 scoops.
<h2>
Step-by-step explanation:</h2>
It is given that:
Beaus recipe for granola bars calls for 3 1/2 cups of oatmeal.
i.e. the cups of oatmeal required is:
![3\dfrac{1}{2}\ cups=\dfrac{3\times 2+1}{2}\ cups](https://tex.z-dn.net/?f=3%5Cdfrac%7B1%7D%7B2%7D%5C%20cups%3D%5Cdfrac%7B3%5Ctimes%202%2B1%7D%7B2%7D%5C%20cups)
i.e.
![\dfrac{7}{2}\ \text{cups\ of\ oatmeal\ is\ required}](https://tex.z-dn.net/?f=%5Cdfrac%7B7%7D%7B2%7D%5C%20%20%5Ctext%7Bcups%5C%20of%5C%20oatmeal%5C%20is%5C%20required%7D)
Also, he has:
![\dfrac{1}{6}\ \text{cup scoop}](https://tex.z-dn.net/?f=%5Cdfrac%7B1%7D%7B6%7D%5C%20%5Ctext%7Bcup%20scoop%7D)
This means that:
![\text{Number of scoops of oatmeal he need}=\dfrac{\text{Number of cups of oatmeal}}{\text{Number of cup scoop he has}}\\\\i.e.\\\\\text{Number of scoops of oatmeal he need}=\dfrac{\dfrac{7}{2}}{\dfrac{1}{6}}\\\\i.e.\\\\\text{Number of scoops of oatmeal he need}=\dfrac{7\times 6}{1\times 2}\\\\i.e.\\\\\text{Number of scoops of oatmeal he need}=21\ \text{scoops}](https://tex.z-dn.net/?f=%5Ctext%7BNumber%20of%20scoops%20of%20oatmeal%20he%20need%7D%3D%5Cdfrac%7B%5Ctext%7BNumber%20of%20cups%20of%20oatmeal%7D%7D%7B%5Ctext%7BNumber%20of%20cup%20scoop%20he%20has%7D%7D%5C%5C%5C%5Ci.e.%5C%5C%5C%5C%5Ctext%7BNumber%20of%20scoops%20of%20oatmeal%20he%20need%7D%3D%5Cdfrac%7B%5Cdfrac%7B7%7D%7B2%7D%7D%7B%5Cdfrac%7B1%7D%7B6%7D%7D%5C%5C%5C%5Ci.e.%5C%5C%5C%5C%5Ctext%7BNumber%20of%20scoops%20of%20oatmeal%20he%20need%7D%3D%5Cdfrac%7B7%5Ctimes%206%7D%7B1%5Ctimes%202%7D%5C%5C%5C%5Ci.e.%5C%5C%5C%5C%5Ctext%7BNumber%20of%20scoops%20of%20oatmeal%20he%20need%7D%3D21%5C%20%5Ctext%7Bscoops%7D)
Answer:
24 munchkins.
Step-by-step explanation:
Let C be the number of chocolate and D be number of glazed donut holes in the original box.
We are told if Jacob ate 2 chocolate munchkins, then 1/11 of the remaining Munchkins would be chocolate. We can represent this information as:
![C-2=\frac{1}{11}*(C+D-2)...(1)](https://tex.z-dn.net/?f=C-2%3D%5Cfrac%7B1%7D%7B11%7D%2A%28C%2BD-2%29...%281%29)
We are also told if he instead added 4 glazed Munchkins to the original box, 1/7 of the Munchkins would be chocolate. We can represent this information as:
Upon substituting C's value from equation (2) in equation (1) we will get,
Let us have a common denominator on right side of equation.
![\frac{1}{7}*(C+D+4)-\frac{7*2}{7}=\frac{1}{11}*(C+D-2)](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B7%7D%2A%28C%2BD%2B4%29-%5Cfrac%7B7%2A2%7D%7B7%7D%3D%5Cfrac%7B1%7D%7B11%7D%2A%28C%2BD-2%29)
![\frac{C+D+4-14}{7}=\frac{1}{11}*(C+D-2)](https://tex.z-dn.net/?f=%5Cfrac%7BC%2BD%2B4-14%7D%7B7%7D%3D%5Cfrac%7B1%7D%7B11%7D%2A%28C%2BD-2%29)
Multiplying both sides of our equation by 7, we will get,
![7*\frac{C+D-10}{7}=7*\frac{1}{11}*(C+D-2)](https://tex.z-dn.net/?f=7%2A%5Cfrac%7BC%2BD-10%7D%7B7%7D%3D7%2A%5Cfrac%7B1%7D%7B11%7D%2A%28C%2BD-2%29)
Multiplying both sides of our equation by 11, we will get,
Therefore, the total number of Munchkins in original box is 24.