Answer:
Step-by-step explanation:
(5x^3+4x^2)−(6x^2−2x−9)
To find the opposite of 6x^2−2x−9 find the opposite of each term.
5x^3+4x^2−6x^2+2x+9
Combine 4x^2 and 6x^2 to get −2x^2.
5x^3-2x^2+2x+9
Let us assume that the number of pieces that can be cut = x
Length of each shelf board = 1 1/3 feet
= 4/3 feet
Total length of board available for making shelf = 18 foot
Then
4x/3 = 18
4x = 18 * 3
4x = 54
x = 54/4
= 13 2/4
As we can see from the above deduction, 13 shelf's can be made from the 18 foot board. There will be about 2/4th of the board remaining, but that 2/4th part will be wasted as it cannot create a complete board.I hope the answer is to your satisfaction and the explanation is clear to you.
Since we already know that the speed of sound is 344m per second, there are 60 seconds in one minute, and there are 60 minutes in one hour, we just multiply 344 by 60, giving us 20,640. Then we multiply 20,640 by 60 to get an answer of 1,238,400 meters per hour.
-12x - 0.4 > 0.2(36.5x + 80) - 55 Remove the brackets.
-12x - 0.4 > 7.3x + 16 - 55 Combine the like terms on the right
-12x - 0.4 > 7.3x - 39 Add 12x to both sides
- 0.4 > 7.3x + 12x - 39
- 0.4 > 19.3x - 39 Add 39 to both sides.
-0.4 + 39 > 19.3x Combine like terms on the left
38.6 > 19.3x Divide by 19.3
38.6 / 19.3 > x
2 > x
I'm assuming the 59% achievement means, markup, so hmmmm well, if the bananas cost him $0.24 or 24cents per pound, so a markup of 59% is just 59% of 0.24 then.
whatever% of anything is just (whatever/100) * anything.
therefore, 59% of 0.24 is just (59/100) * 0.24, or 0.1416.
so, if we add 0.1416 to the 0.24, the selling price will be 0.3816, or just 38cents per pound of bananas.