Answer:
A = 3x³ - 22x² + 30x - 36
Step-by-step explanation:
Area of a Rectangle: A = lw
Step 1: Define
l = 3x² - 4x + 6
w = x - 6
Step 2: Substitute and Evaluate
A = (3x² - 4x + 6)(x - 6)
A = 3x³ - 4x² + 6x - 18x² + 24x - 36
A = 3x³ - 22x² + 30x - 36
X = gummy bears, y = jelly beans, z = gobstoppers
x + y + z = 13
x + 2y + 2z = 20
x = 3y
3y + y + z = 13
4y + z = 13
3y + 2y + 2z = 20
5y + 2z = 20
4y + z = 13....multiply by -2
5y + 2z = 20
-----------------
-8y - 2z = -26
5y + 2z = 20
---------------add
-3y = -6
y = 2........2 lbs jelly beans
x = 3y
x = 3(2)
x = 6....6 lbs gummy bears
x + y + z = 13
6 + 2 + z = 13
8 + z = 13
z = 13 - 8
z = 5........5 lbs gobstoppers
so we have : 6 lbs gummy bears (x), 2 lbs jelly beans (y), and 5 lbs gobstoppers (z)
Answer:
6 containers needed
Step-by-step explanation:
Given
----- Size
----- Size
Required
Determine the number of containers needed
This question illustrates the knowledge of fraction and division.
To get the number of containers needed, we simply divide the total size by the size of the container as follows;
Convert to improper fractions
--- Approximated
Answer:
1157.91 or rounded 1157.9 or 1158
Step-by-step explanation:
π • r^2 • (h/3)
π • 10^2 • 11/3
For a parallelogram, we know that there are to pairs of angles that are the same and that all 4 angles add to 360.
2(5x-2)+2(48)=360
2(5x-2)+96=360
10x-4+96=360
10x+92=360
10x=268
x=26.8
Final answer: x=26.8
Hope this helps!
