Let H be the number hats and J the number of jackets. Then, we can write,

Now, since they want 250 items at least, we can write

Hence, the system of inequalities is
Thank you! This helped a lot!!! :)
If she wanted to buy new utensils she could buy 108 spoons and 261 knifes then she would have 2,006 forks, spoons, and knifes. Or she could donate 261 forks and 153 spoons and have 1,745 of each utensils.
Answer:
- 2. Rotate the triangle 90º clockwise about the origin and then translate it 10 units left and 9 units down.
Step-by-step explanation:
- <em>Easy way to take one of the vertices and apply the transformations</em>
1. Rotate the triangle 90º counterclockwise about the origin and then translate it 10 units left and 9 units down.
2. Rotate the triangle 90º clockwise about the origin and then translate it 10 units left and 9 units down.
- True
- (-3, 3) → (3, 3) → (3 - 10, 3 - 9) = (-7, -6)
3. Rotate the triangle 90º counterclockwise about the origin then translate it 1 unit up.
4. Rotate the triangle 90º clockwise about the origin then translate it 1 unit up.
<u>Importance of origin:</u>
The point at which the two axes intersect is called the origin. The intersecting x- and y-axes divide the coordinate plane into four sections.
The origin is at 0 on the x-axis and 0 on the y-axis. Since the origin has an x-coordinate of 0 and a y-coordinate of 0, its ordered pair is written (0, 0).
The origin is used to determine the coordinates for every other point on the graph. It is generally the starting point on a grid.
In general, origin is the place where something comes from or the place where something originates.