The dimensions of the box formed will be:
width: 20 - 2x
length: 40 - 2x
height: x
Volume = width x length x height
1500 = x(20 - 2x)(40 - 2x)
1500 = x(800 + 4x² - 120x)
1500 = 4x³ - 120x² + 800x
0 = 4x³ - 120x² + 800x - 1500
0 = x³ - 30x² + 200x - 375
Solving the cubic equation:
x = 5 (only integer root)
Length = 30 cm
Width = 10 cm
Height = 5 cm
Answer:
2
Step-by-step explanation:
9(2/3)-4
2/3 of 9 is 6
6-4=2
Answer:
Associative property of addition. Grouping different addends does not change the sum.
Step-by-step explanation:
5 + 2 + 3 = 5 + (2 + 3)
10 = 5 + (5)
10 = 10
Answer:
0.514
Step-by-step Explantion:
Denominator = 500 = 2^2 * 5^3
257/500 = 257/2^2*5^3 = 2*257/2*2^2*5^3 = 514/2^3*5^3 = 514/(2*5)^3 = 514/10^3 = 0.514
