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
A rate is a non simplified ratio so a rate could be
4:2=rate
the UNIT rate=the simplest for or 2:1
so exg
300 jumps in 3 days=rate
100 jumps per day=unit rate
Answer:
The correct answer is 27
Step-by-step explanation:
- 5a - b
- 5(-6) - 3
30 - 3
= 27
Answer:
-29
Step-by-step explanation:
(-4 + -3) x 2^2 - 1
follow order of operations PEMDAS
Parentheses:
(-4 + -3) x 2^2 - 1
(-7) x 2^2 -1
exponents:
(-7) x 4 - 1
multiplication
-28 - 1
subtraction
-29
If you are going from a larger unit to a smaller unit, you multiply. If you are going from a smaller unit, you divide
