Answer:
The length of board required is 13 feet 6 inches .
Step-by-step explanation:
Board required to make one bird house = 2 feet 3 inches
= 2 x 12 + 3 = 27 inches
Number of bird houses = 6
So, the board required
= 6 x 27 = 162 inches
13.5 feet = 13 feet 6 inches
Let's put this in terms of a system of equations. Let's call the numbers x and y, with x being the larger integer and y the smaller one. Since they are consecutive odd integers, we know that:
x = y + 2
The constraint is:
xy= 3(x+y) + 71 Simplify
xy = 3x + 3y + 71 Plug in (y+2) for x:
(y + 2) y = 3(y + 2) + 3y + 71 Simplify
y² + 2y = 3y + 6 + 3y + 71 Subtract 6y from both sides, add 71+6
y² -4y = 77
y² - 4y - 77 = 0
Factor:
(y - 11) (y+7) = 0
y = 11 or y=-7
When y = 11, x = 13, since x = y+2
Plug in to make sure:
xy = 3(x+y) + 71
11*13 = 3 (11 + 13) + 71
143 = 3 (24) + 71
143 = 72 + 71
143 = 143
Our values work!
Answer: 11, 13
1 US liquid gallon is 3.785 liters
:)
Hey You!
350 * 10% = 35
350 - 35 = 315
315 / 5 = 63
63 × 3 = 189
315 - 189 = 126
There are 126 red keys in the bin! =)
