Answer:
X=7 and y=6
Step-by-step explanation:
Y=-2x + 20.......eq(i)
6x-5y=12.....eq(ii)
Now, putting y= - 2x +20 in eq (ii)
6x - 5(-2x + 20)=12
6x + 10x - 100 = 12
16x=12+100
X=112 /16
X=7
Then, putting x=7 in eq (i)
Y=-2*7 +20
=-14 +20
=6
Since the order of selection does not matter, we will use combinations to solve this problem.
We are to form the combination of 30 objects taken 6 at a time. This can be expressed as 30C6.

This means the six teachers can be selected in 593775 ways.
So the correct answer is option A
Answer:

Step-by-step explanation:
<u>Trigonometric Ratios</u>
There are some trigonometric ratios that are defined in a right triangle. The given figure corresponds to a right triangle (with a 90° angle) and two measures are given: An angle of 34° and the length of a side that is opposite to the angle. We are required to find x, the adjacent side of the given angle.
The appropriate relation that we must use to find x is

Solving for x


The given ratio of powder to water is 3:2 based on weight for Kool-aide. It is also given that 120g of flavored powder is needed for a certain amount of Kool-aide.
Let us assume that the amount of water (by weight) required to maintain the given ratio of 3:2 be represented by the letter
. Thus, from the given information we can conclude that:


Cross-multiplying we get:

grams.
Thus, the amount of water in grams in that Kool-aide is 80 grams.