Answer:
<h2><u><em>
Area = x² + 8x + 12</em></u></h2><h2><u><em>
Perimeter = 4x + 16</em></u></h2>
Step-by-step explanation:
The area of a rectangle is given by the formula:
Area=width×height
The perimeter of a rectangle is given by the formula
Perimeter=2(width+height)
Area
(x + 6) × (x+2) =
x² + 2x + 6x + 12
x² + 8x + 12
------------------
Perimeter
2 × (x + 6 + x + 2) =
2 × (2x + 8) =
4x + 16
16.5 degrees below the starting temp, whatever that is. If its 0, then -16.5 degrees.
The first equation would be (.5)5-11=-8.5, because the metal has been cooling for 5 hours.
The device that 'aids' in the cooling would be -5-3=-8, because it is a separate variable that cools the metal, so the amount the device cools is independent of the natural cooling amount, and the equation is independent of the natural cooling equation.
You then add -8.5 and -8, because the device has lowered 8.5 degrees and 8 degrees. This equals -16.5 degrees, or a decrease of 16.5 degrees.
Area of a triangle = 1/2 × base × height
Plug in what we know.
78 = 1/2 × b × 9¾
Multilply each side by 2 to get rid of the 1/2...
156 = b × 9¾
Write 9¾ as an improper fraction.
(9¾ = 9 + 3/4 = (9×4)/4 + 3/4 = 36/4 + 3/4 = 39/4)
156 = b × 39/4
Multiply each side by 4...
624 = b × 39
Divide each side by 39...
16 = b
Done! The length of the base of the triangle is <u>16</u> inches.
2300 cups because if 460 is 20%, multiply the 460 x 5 to get 100%
Answer:
8 granola bars in each box
Step-by-step explanation:
The equation is 4x+5x=72
4x and 5x are like terms, so combine those 9x=72
Use the division property of equality to solve for x, x=8
