The correct unit price would be $1.08 per pair of gloves. What the contractor didn't notice was it was 7 <em>dozen</em> pairs of gloves, not just seven pairs. If it had been seven pairs, she would have been correct, but it was actually 84 pairs of gloves. She needed to divide 103.32 by 84 rather than 7.
Answer:
15%
Step-by-step explanation:
55%-40% = 15% cocoa.
Just substitute wherever x is for example 2 times 3.5
Answer:
![r=\dfrac{2}{3}\ yards](https://tex.z-dn.net/?f=r%3D%5Cdfrac%7B2%7D%7B3%7D%5C%20yards)
Step-by-step explanation:
Given that,
The volume of a sphere is,
cubic yards
We need to find the radius of the sphere. The formula for the volume of a sphere is given by :
![V=\dfrac{4}{3}\pi r^2](https://tex.z-dn.net/?f=V%3D%5Cdfrac%7B4%7D%7B3%7D%5Cpi%20r%5E2)
Put all the values,
![\dfrac{32}{81}\pi=\dfrac{4}{3}\pi r^3\\\\r^3=\dfrac{8}{27}\\\\r=\dfrac{2}{3}\ yards](https://tex.z-dn.net/?f=%5Cdfrac%7B32%7D%7B81%7D%5Cpi%3D%5Cdfrac%7B4%7D%7B3%7D%5Cpi%20r%5E3%5C%5C%5C%5Cr%5E3%3D%5Cdfrac%7B8%7D%7B27%7D%5C%5C%5C%5Cr%3D%5Cdfrac%7B2%7D%7B3%7D%5C%20yards)
So, the radius of the sphere is equal to
.
Answer:
![b= \frac{q - 4a}{4}](https://tex.z-dn.net/?f=b%3D%20%20%5Cfrac%7Bq%20-%204a%7D%7B4%7D%20)
Step-by-step explanation:
ill suppose that you mean : "solve for b" not for d, since there is no d term in the formula given. So:
![q = 4(a + b) \\ q = 4a + 4b \\ 4a + 4b = q \\ 4a + 4b - 4a = q - 4a \\ 4b = q - 4a \\ b = \frac{q - 4a}{4}](https://tex.z-dn.net/?f=q%20%3D%204%28a%20%2B%20b%29%20%5C%5C%20q%20%3D%204a%20%2B%204b%20%5C%5C%204a%20%2B%204b%20%3D%20q%20%5C%5C%204a%20%2B%204b%20-%204a%20%3D%20q%20-%204a%20%5C%5C%204b%20%3D%20q%20-%204a%20%5C%5C%20b%20%3D%20%20%5Cfrac%7Bq%20-%204a%7D%7B4%7D%20)