Answer:
x <5
Step-by-step explanation:
2(4 x + 3) < 5 x + 21
Distribute
8x +6 < 5x +21
Subtract 5x from each side
8x -5x +6 < 5x-5x+21
3x +6 < 21
Subtract 6 from each side
3x+6-6 <21-6
3x <15
Divide each side by 3
3x/3 <15/3
x <5
4 larger door can be cut for a board that is 10.5 feet long
Step-by-step explanation:
The given is:
- Doors for the small cabinets are 11.5 inches long
- Doors for the large cabinet are 2.3 time as long as the door for a small cabinet
- There is a board that is 10 1/2 feet long
We need to find how many larger door can be cut from the board
∵ 1 foot = 12 inches
∵ The board is
feet long
∵
feet =
× 12 = 126 inches
∵ The small door is 11.5 inches long
∵ The larger door is 2.3 times as long as the small door
∴ The larger door = 11.5 × 2.3 = 26.45 inches long
Divide the length of the board by the length of the larger door to find
how many larger door can be cut from the board
∵ The length of the board = 126 inches
∵ The length of the larger door = 26.45 inches
∵ 126 ÷ 26.45 = 4.76
∴ 4 larger doors can be cut from the board
4 larger door can be cut for a board that is 10.5 feet long
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Answer:
-0.4
Step-by-step explanation:
y=-0.4x+7