Let x be the amount of Columbian coffee in the mixture and y the amount of Sumatra coffee in the mixture, then
x + y = 1 . . . (1)
9.25x + 14.25y = 12.50 . . . (2)
(1) x 9.25 => 9.25x + 9.25y = 9.25 . . . (3)
(2) - (3) => 5y = 3.25 => y = 3.25/5 = 0.65
From (1), x + 0.65 = 1 => x = 1 - 0.65 = 0.35
1 pound of the mixture contains 0.35 Columbian coffee and 0.65 Sumatra coffee
Therefore, 12 pounds of the mixture will contain 0.35 x 12 = 4.2 pounds of Columbian coffee and 0.65 x 12 = 7.8 pounds of Sumatra coffee
Answer:
g(4) = -11
General Formulas and Concepts:
<u>Pre-Alg</u>
- Order of Operations: BPEMDAS
Step-by-step explanation:
<u>Step 1: Define</u>
g(x) = -2x - 3
x = 4
<u>Step 2: Evaluate</u>
- Substitute: g(4) = -2(4) - 3
- Multiply: g(4) = -8 - 3
- Subtract: g(4) = -11
Answer:
y=-1
Step-by-step explanation:
5y+9=2(y+3)
5y+9=2y+6
5y-2y=6-9
3y=-3
y=-3/3
y=-1
15 posts plus 2 corner posts = 17 posts. With 17 posts there would be 16 spaces each side.
The space between each is 8 1/8 feet.
The length of one side is the number of spaces multiplied by the distance between each space.
Total length of one side = 16 spaces x 8 1/8 feet = 130 feet
Area = length x width.
It’s a square shape so area = 130 x 130 = 16,900 square feet
Perimeter is the distance around the square, this would be the length of one side x the number of sides.
Perimeter = 130 x 4 = 520 feet
