9514 1404 393
Answer:
30 small chairs and 24 large chairs
Step-by-step explanation:
Let x and y represent the numbers of small chairs and large chairs built in a day. Then the relations for using available time are ...
20x +50y = 30×60
60x +90y = 66×60
Removing common factors, these can be written in standard form as ...
2x +5y = 180
2x +3y = 132
Subtracting the second equation from the first gives ...
2y = 48
y = 24 . . . . . divide by 2
Using the first equation to find x, we have ...
2x +5(24) = 180
2x = 60 . . . . . . . . . . subtract 120
x = 30 . . . . . . . . divide by 2
The company can build 30 small chairs and 24 large chairs in a day.
16/20
Simplified to 8/10
Again simplified to 4/5.
Answer:
y = -|x +2| +4
Step-by-step explanation:
The parent function y=|x| is shifted to the left 2 units, so x is replaced by x+2. It is reflected across the x-axis, so is multiplied by -1: -|x+2|. It is shifted up 4 units, so has 4 added to it:
y = -|x+2| + 4
Answer: An L-shaped room in your house
Imagine any room in your house that is not just a single rectangle, square or other shape. This would be an example of a composite shape. It simply means that it is made up of more than one shape.
For example, if you had a living room in the shape of an L. This would be a composite shape because you would have to put 2 rectangles together to make the shape.
