we have the following:
Let the number of solid ticket of cost:
x = upper level
y = center court
z = floor seats
therefore:
Answer:
Step-by-step explanation:
The average cost for the training session provided he is a sports trainer can be computed as follows:
Let's assume that;
average cost = C(x)
the no. of session = x
Then:
Now, suppose the trainer wants the average cost C(x) to drop below $16;
Then, we have the following function:
By cross multiply:
120 + 15x ≤ 16x
120 ≤ 16x - 15x
120 ≤ x
Therefore, the required no. of session, if the average cost should drop below $16, is 120.
- The commutative property is a number property where the answer obtained is the same no matter the position of the numbers you are multiplying together.
- Commutative property of multiplication is expressed as:
a x b = b x a
a x b x c = a x c x b = b x c x a
- Note: " . " in the question also means "x" (multiplication)
- Applying commutative property to the question:
(7/15)⋅(−11)⋅(30)
(7/15) ⋅ (−11) ⋅ (30) = (7/15) . (30) . (11)
The values interchanged are: 11 and 30. The result of the multiplication remains unchanged.
Option A is the correct answer.
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Answer:
a 90° counterclockwise rotation about the origin, and then a dilation by a scale factor of 2
Step-by-step explanation:
At Image I, we have vertex at point (3,-2), and the length of the left side is of 1 unit(from -2 to -3).
In the larger figure, this length is of 2 units, so the dilation has a scale factor of 2 units. The rotation, due to the coordinates changing, is of 90º counterclockwise(if it was across the x-axis, only the y coordinate would change, but on image II, both coordinates change).
So the correct answer is:
a 90° counterclockwise rotation about the origin, and then a dilation by a scale factor of 2
Answer: Turbo jet pack: 6d + 7; x-ray vision glasses: 2d-5; Invisible shield: 10d + 1
Step-by-step explanation:
There’s not really any math needed because it’s put into words.
