Answer: length = 24 ft
Width = 8 ft
Step-by-step explanation:
Let L represent the length of the barn.
Let W represent the width of the barn.
The area of a rectangular wall of a barn is 192 sq. Ft. This means that
LW = 192- - - - - - - - - - - - - - -1
It's length is 8 ft longer than twice it's width. This means that
L = 2W + 8
Substituting L = 2W + 8 into equation 1, it becomes
W(2W + 8) = 192
2W² + 8W = 192
2W² + 8W - 192 = 0
Dividing through by 2, it becomes
W² + 4W - 96 = 0
W² + 12W - 8W - 96 = 0
W(W + 12) - 8(W + 12) = 0
(W - 8)(W + 12) = 0
W = 8 or W = - 12
Since the width cannot be negative, then W = 8
L = 192/W = 192/8
L = 24
Answer:
a=0
Step-by-step explanation:
im prbly wrong pls tell me if im wrong
Remember that multiplying is how many times you add a number to itself. If you multiply by 3, you add the first number to itself 3 times.
When you multiply a given number by 1, you get the first number (it doesn't change).
When you multiply by a number less than one, say, one half, you'll end up with half of the original number --> a smaller number.
When you multiply a number by more than one, you will get a number bigger than the original because you are adding it to itself more than once. Even if it is a fraction or decimal, if it is greater than 1, then the new product will be larger than the original number.
Hope this helps! :)
Answer: D.
Step-by-step explanation:
The associative property of addition states that numbers can be added together regardless of how they are grouped.
Answer A shows a property of multiplication.
Answer B shows the additive identity property.
Answer C shows the commutative property.
However, answer D shows that the numbers can be added regardless of how they are grouped.
