Answer:
B.) 15
Step-by-step explanation:
The order in which the shades are chosen is not important. For example, choosing powder then sky is the same outcome as choosing sky then powder. So we use the combinations formula to solve this question.
Combinations formula:
is the number of different combinations of x objects from a set of n elements, given by the following formula.

In this question:
2 shades from a set of 6. So

So the correct answer is:
B.) 15
9514 1404 393
Answer:
x = 7
Step-by-step explanation:
The equation can be rewritten to ...
8x = 13n +4 . . . . for some integers x and n
x = (13n +4)/8
For x to be an integer, 13n must be an odd multiple of 4. Since 13 is an odd number, n=4 will do.
x = (13·4 +4)/8 = 56/8
x = 7
__
The graph shows a "trial and error" method of solution. Only values of x less than 13 need to be examined.
Answer: The value of x is 45
Step-by-step explanation:
The equation x/3-6=9 is a linear equation, where x/3 is the same as one-third of x.
Thus it is easily simplified as such:
x/3-6=9
Collect like terms
x/3 = 9 + 6
x/3 = 15
i.e (1/3) of X = 15
To get the value of x, cross multiply
x = 3 x 15
x = 45
Thus, the value of x is 45
Answer:
-25.44
Step-by-step explanation: