Answer:
Divide, 16.
Step-by-step explanation:
So, lets look at the unit scale.
For every 16 ounces, there are 1 pound.
To convert ounces to pounds, the number must be divide by 16, since there are 16 ounces in one pound.
The first fill in box answer is division.
Next we must ifnd the actual amount of pounds.
We know that the box weights 96 ounces.
Now lets divide this by ounces per pound, and see what we get:
96/16
=
6
So the box weighs 6 pounds.
This is the answer to the second fill in question.
Hope this helps!
Answer: it will take them 28 minutes to fill the tank.
Step-by-step explanation:
The first pipe alone can fill the tank in 84 minutes. This means that the rate at which the first pipe fills the tank per minute is 1/84
The second pipe can fill the tank in 42 minutes by itself. This means that the rate at which the second pipe fills the tank per minute is 1/42
If they work together, they would work simultaneously and their individual rates are additive. This means that their combined rate of filling the tank would be
1/84 + 1/42
Assuming it takes t hours for both pipes to fill the tank working together, the working rate per minute would be 1/t. Therefore,
1/84 + 1/42 = 1/t
3/84 = 1/t
t = 84/3
t = 28 minutes
Answer:
and ![y=10.6](https://tex.z-dn.net/?f=y%3D10.6)
Step-by-step explanation:
The given ellipse has equation:
.
The center of this ellipse is (h,k)=(0,2)
We use the equation:
to determine the foci.
The directrices are given by ![y=k\pm\frac{a^2}{c}](https://tex.z-dn.net/?f=y%3Dk%5Cpm%5Cfrac%7Ba%5E2%7D%7Bc%7D)
![y=2\pm\frac{64}{\sqrt{55}}](https://tex.z-dn.net/?f=y%3D2%5Cpm%5Cfrac%7B64%7D%7B%5Csqrt%7B55%7D%7D)
![y=2\pm8.6](https://tex.z-dn.net/?f=y%3D2%5Cpm8.6)
and ![y=2+8.6](https://tex.z-dn.net/?f=y%3D2%2B8.6)
The equation of the directrices are:
and ![y=10.6](https://tex.z-dn.net/?f=y%3D10.6)
The correct answer is D