1. Arrange the steps in dividing decimals by whole numbers. Number each item from
1-3. Write your answer on the blank.
a. Insert zeros to the dividend when needed.
b. Divide as with whole numbers.
c. Place the decimal point in the quotient directly above the decimal point in the
dividend.
Answers & Comments
Answer:
length: x cm
width: x - 12 cm
height: 5 cm
Volume = L*W*H = 5x(x-12) = (5x2 - 60x) cm3
The box can hold "AT MOST" 1900 cm meaning it can hold from 0 to 1900 cm3 giving us:
5x2 - 60x ≤ 1900
Factoring out a 5 this can be written as: x2 - 12x ≤ 380
Working this as a quadratic to find the maximum dimensions:
x2 - 12x - 380 = 0
x = [12 ±√((-12)2-4(1)(-380))]/2
x = (12±√1664)/2
x = (12 ±40.792)/2
x = 6 ± 20.396
Discarding the negative:
x = 26.396 cm length
x-12 = 14.396 cm width
height = 5 cm
volume: LWH = 26.396(14.396)(5) = 1899.98 ≅ 1900 cm3
Step-by-step explanation:
follow that please