Answer:
D) 8
Step-by-step explanation:
You multiply 10 by 12 to get 120 so you multiply x by 12 to get 96.
96 = 12x
/12 /12
8 = x
Answer:
2.1 standard drinks
(or 2 if you need to round to the nearest whole number)
Step-by-step explanation:
The ABV (alcohol by volume) percentage is a measure of the amount of pure alcohol (as a percentage) of the total volume of liquid in a drink.
So for 16% wine, this means that 16% of the volume of the wine is pure alcohol.
Therefore, if 16% of 8 fl oz is pure alcohol, this means that 1.28 fl oz of the 8 fl oz is pure alcohol (since 0.16 × 8 = 1.28).
One standard drink ≈ 0.6 fl oz pure alcohol
To calculate the number of standard drinks, divide the total amount of pure alcohol found by the amount in one standard drink:
1.28 ÷ 0.6 = 2.1
Therefore there is approximately 2.1 standard drinks in 8 fl oz of 16% wine.
The volume of the shape
We have a cylinder that is cut into two. Its external radius is 5ft, while its internal radius is 4ft.
External radius = internal radius + thickness
![\begin{gathered} \text{External radius = 4ft + 1ft } \\ =\text{ 5ft} \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%20%5Ctext%7BExternal%20radius%20%3D%204ft%20%2B%201ft%20%7D%20%5C%5C%20%3D%5Ctext%7B%20%205ft%7D%20%5Cend%7Bgathered%7D)
Internal radius = 4ft (given)
Recall that the volume(V) of a full cylinder is:
![V\text{ = }\pi r^2h](https://tex.z-dn.net/?f=V%5Ctext%7B%20%3D%20%7D%5Cpi%20r%5E2h)
Since the cylinder is cut into two, the volume(V) is:
![V\text{ = }\frac{\pi r^2h}{2}](https://tex.z-dn.net/?f=V%5Ctext%7B%20%3D%20%7D%5Cfrac%7B%5Cpi%20r%5E2h%7D%7B2%7D)
height (h) = 12ft (given)
The volume of the shape:
<span>In order to determine the total number of errors that were made by the bar code scanner, we first have to calculate how many total scans were made. Because there were six items scanned 1,000 times each, there were 6,000 total scans made. Next, we have to add up the total number of errors made by each item (36+14+21+39+11+2). As a result, there were a total of 123 errors made during the 6,000 scans.</span>
Answer:
v = 9
Step-by-step explanation:
50 = 6v - 4
50 + 4 = 6v
54 = 6v
6v/6 = 54/6
v = 9