There has to be a total of 63 boxes each with a prize in them.
There are two types of prizes: The first type is $25 and second type is $100.
If you make all the prizes $100, you will only end up with 27 prizes. ($2700 / 100), which is too little.
If you make all the prizes $25, you will only end up with 108 prizes ($2700/ 25), which is too way many.
The answer has to be combination of prizes More $25 prizes will have an outcome of more prizes in total.
More $100 prizes will have an outcome of less prizes in total.
The answer would come out to
48 prizes of $25 each ($1200)
15 prizes of $100 each ($1500)
which adds to the full amount of $2700 with 63 prizes.
We can solve for x or solve for y,
for x
y+6=5x
divide both sides by 5
=x
for y
y+6=5x
minus 6 from both sides
y=5x-6
Answer: 10
Step-by-step explanation: We can just count the number of vertices in the star and each vertex makes an angle. There are ten vertices in a star and thus ten angles.
Option A:
The another name for ∠1 is ∠JLK.
Solution:
How to Label Angles
:
There are two main ways to label angles:
1. Give the angle name by a number or a lower case letters.
2. The second way to name the angle is indicating by the vertex.
Usually the angle is denoted by three letters.
First letter and the second letter denotes the arms of the angle and the middle of the letter denotes the angle (its vertex).
To find the another name for ∠1.
The arms of the angle are LJ and LK and the vertex is L.
So, the name of the angle is ∠JLK.
Middle letter is the actual angle.
Therefore the another name for ∠1 is ∠JLK.
Option A is the correct answer.
The variables have a negative association/correlation, because when one value increases (ex: x) the other decreases (see y)
If you would put a line through the dataset most of the points would be quite a bit off the line so the association is only moderate and not strong
so the answer is it is a "moderate negative association"
