Answer:
![\frac{17}{24}](https://tex.z-dn.net/?f=%20%5Cfrac%7B17%7D%7B24%7D%20)
Step-by-step explanation:
We want to simplify:
![\frac{2}{3} -\frac{7}{12} +\frac{5}{8}](https://tex.z-dn.net/?f=%5Cfrac%7B2%7D%7B3%7D%20-%5Cfrac%7B7%7D%7B12%7D%20%2B%5Cfrac%7B5%7D%7B8%7D)
The least common denominator is 24.
We collect LCD to obtain:
![\frac{2 \times 8 + 7 \times2 + 5 \times 3}{24}](https://tex.z-dn.net/?f=%20%5Cfrac%7B2%20%5Ctimes%208%20%2B%207%20%5Ctimes2%20%2B%205%20%5Ctimes%203%7D%7B24%7D%20)
We multiply out to get:
![\frac{16 - 14 + 15}{24}](https://tex.z-dn.net/?f=%20%5Cfrac%7B16%20-%2014%20%2B%2015%7D%7B24%7D%20)
Simplify the numerator to get:
![\frac{17}{24}](https://tex.z-dn.net/?f=%20%5Cfrac%7B17%7D%7B24%7D%20)
Your conversion factor is 200 quarts per 2 hours. So set up a "picket fence" (based off the "picket fence" method of conversions) and solve for your final value which is 3600 quarts.
Answer:
B
Step-by-step explanation:
Answer:
![V=27c^{18}d^{6}\ units^3](https://tex.z-dn.net/?f=V%3D27c%5E%7B18%7Dd%5E%7B6%7D%5C%20units%5E3)
Step-by-step explanation:
The complete question in the attached figure
we know that
The volume of a cube is equal to
![V=b^3](https://tex.z-dn.net/?f=V%3Db%5E3)
where b is the length side of a cube
In this problem we have
![b=3c^{6}d^{2}](https://tex.z-dn.net/?f=b%3D3c%5E%7B6%7Dd%5E%7B2%7D)
substitute in the formula
![V=(3c^{6}d^{2})^3](https://tex.z-dn.net/?f=V%3D%283c%5E%7B6%7Dd%5E%7B2%7D%29%5E3)
-----> by power of a product
----> by power of a power
Simplify
![V=27c^{18}d^{6}\ units^3](https://tex.z-dn.net/?f=V%3D27c%5E%7B18%7Dd%5E%7B6%7D%5C%20units%5E3)
You can only buy 1 CD using $12 because $12 minus $8 is $4 and $4 is not enough for another CD.