Number 11
Since the auditorium can hold 600 and the student body will be divide by four parts
The answer is
x ≤ 2400
The answer would be A because 3.90 x 3.5 is equal to 13.65
Answer:
Step-by-step explanation:
We have been given that a certain function is an inverse proportion. We are asked to find the formula for the function if it is known that the function is equal to 12 when the independent variable is equal to 2.
We know that two inversely proportional quantities are in form 
, where y is inversely proportional to x and k is constant of variation.
Upon substituting 
and 
in above equation, we will get:
Let us solve for constant of variation.
Now, we will substitute 
in inversely proportion equation as:
Therefore, the formula for the given scenario would be .
Answers:
- Distance = 20 meters
- Displacement = 4 meters North
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Explanation:
To find the distance traveled, we add the two values to get 8+12 = 20 meters.
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For the displacement, I recommend drawing a vertical number line. Mark the values 0, -8 and 4 on the number line. Going from 0 to -8 represents going 8 meters south. From -8, move up 12 units and you should arrive at 4 on the number line, which represents being 4 meters north of the original position 0. The displacement only cares about the start and end points, more specifically, the change between the two. The direction is also important for the displacement.
In other words, Michael started at 0, did a bunch of movements, and ended up at 4 on the number line. So we can simplify all those movements to one single movement of "move north 4 meters" to represent the displacement.
As you can see, it's possible to get a displacement of 0 meters, which is not the case for the distance traveled in the previous section.
Answer:
67
Step-by-step explanation:
Number: AB
A = B-1
BA + AB = 143
10*B + A + 10*A + B = 143
11A + 11B = 143
A + B = 13
(B-1) + B = 13
2B = 14
B = 7
A = 6
The number is 67
check: 6 = 7-1 and 67 + 76 = 143
