Answer:
The reason why c = 6n + t is the same as c - t = 6n is because c is the sum of the addition problem. 6n and t are the addends. The inverse operation for addition is subtraction. c is the cost that will be reduced by t. The answer is still 6n.
Three colors * 8 possible sizes = 24 different shoes
The probability that the shoe is going to be a size 9 black shoe is 1/24.
Answer:
There will be no change. It will still be 4/5
Step-by-step explanation:
When one performs a dilation of a triangle, all sides get affected. In this case, since the dilation is by a factor of two, the sides will double their lengths.
But recall that dilations will create similar triangles, which means that their angles at the vertices remain the same.
The trig functions of angles depend only on the actual angle they are applied to, so, since the angles remain the same, the sine value will stay the same: "4/5".
Consecutive numbers differ by one, which means that if you start with a certain integer
, you obtain the next integer by adding one.
So, if you start with
, the three consecutive numbers are

The sum of these three numbers is

This number is divisible by 3 because you can write it as

Note that this is true in general: the sum of three consecutive numbers is always divisible by three, because it is three times the middle number.