Answer:
It will take 5 hours and 5 minutes to fill the tank
Step-by-step explanation:
Here, we want to get the time taken to fill the tap
Let us have the rate per hour
A fills in 6 hours; so the fraction filled in an hour is 1/6
B fills in 8 hours, so the fraction filled in an hour is 1/8
C empties in 10 hours, so the fraction removed per hour is 1/10
So factoring the supply and removal, where removal is on a negative basis
we have it that in an hour, the fraction retained is;
1/6 + 1/8 - 1/10
= (20 + 15 - 12)/120
= 23/120
So this is the fraction retained per hour
The number of hours it will take to have a whole is simply the reciprocal of this fraction
That would simply be 120/23 = 5 5/23
5 hours and 5 minutes
The right answer is Option D.
Step-by-step explanation:
Boxes of ice cream received = 50
Ice-creams in each box = 12
Total ice-cream bars = No. of boxes * Ice cream bars in each box
Total ice-cream bars = 
No. of people who had ice cream bars = 520
Ice-cream bars left = Total ice cream bars - No. of people who had ice cream
Ice cream bars left = 
80 ice cream bars were left.
The right answer is Option D.
Keywords: multiplication, subtraction
Learn more about subtraction at:
#LearnwithBrainly
Answer:
466mEq
Step-by-step explanation:
First, we need to know the concentration of NaCl in a normal saline solution, this is by definition 0.9%, meaning we have 0.9g of NaCl per 100ml of solution, we want to know how much NaCl we have in 3L (3000ml):

So, we have 27000mg in 3L of normal saline solution.
Now, acording to our milliequivalent (mEq) equation (
) where pE is de molecular mass of NaCl divided by their charges, in this case 1:

Finally we substitute in the mEq formula:

I hope you find this information useful! Good luck!
Answer:
4
Step-by-step explanation:
Slope is
. Or, in other words the distance it travels in the y direction divided by the distance it travels in the x direction. Each time the y variable increments +4 and the x variable increments +1. Which means the line rises 4 units every time it runs 1 unit.
Slope=
Problem 2
Part (a)
The 3D shape formed when rotating around the y axis forms a pencil tip
The shape formed when rotating around the x axis is a truncated cone turned on its side.
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Part (b)
Check out the two diagrams below.
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Problem 3
Answer: Choice A and Choice C
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Explanation:
Think of stacks of coins. Let's say we had 2 stacks of 10 quarters each. The quarters are identical, so they must produce identical volumes. Those sub-volumes then add up to the same volume for each stack. Now imagine one stack is perfectly aligned and the other stack is a bit crooked. Has the volume changed for the crooked stack? No, it hasn't. We're still dealing with the same amount of coins and they yield the same volume.
For more information, check out Cavalieri's Principle.
With all that in mind, this leads us to choice C. If the bases are the same, and so are the heights, then we must be dealing with the same volumes.
On the other hand, if one base is wider (while the heights are still equal) then the wider based block is going to have more volume. This leads us to choice A.