Speed traveling west = x - 10 km /hr
275 / ( x-10) - 300 / x = 1/2
275 *2x - 300 (x-10)*2 = ( x-10) *x
550x - 600x +6000 = x^2 -10x
x^2 +40x - 6000 = 0
( x -60) ( x+100) = 0
x = 60
ANSWER East = 60 km/ hr West = 50 km /hr
CHECK
300 /60 = 5 hours
275 /50 = 5.5 hours
PART A:
Scientific notation is given by A×10ⁿ where A is any number in a unit and 'n' is an integer.
0.000025 = 2.5×10⁻⁵
PART B:
Diameter of grain of sand ÷ Diameter of human body average cell
(2×10⁻⁴) ÷ (1×10⁻⁵)
(2÷1) × (10⁻⁴÷10⁻⁵)
2 × (10⁻⁴ ⁻ ⁻⁵) = 2 × 10⁽⁻⁴⁺⁵⁾ = 2 × 10¹ = 20 times bigger
PART C:
The diameter of human body's average cell in nanometer
1 × 10⁻⁵ metre = 1 × 10⁻⁵ × 10⁹ = 1 × 10⁽⁻⁵⁺⁹⁾ = 1 × 10⁴ nanometer
PART D:
Smallest bacteria = 300 nanometer
300 nm = 300 ÷ 10⁹ = (3 × 10²) ÷ 10⁹ = 3 × (10²⁻⁹) = 3 × 10⁻⁷ meter
PART E:
Laws of exponents that are applied in scientific notation is
xᵇ × xᵃ = x⁽ᵇ⁺ᵃ⁾
xᵇ ÷ xᵃ = x⁽ᵇ⁻ᵃ⁾
Answer:
The Second One or B. You were correct.
Step-by-step explanation:
The associative property is when the numbers of an equation stay the same, but the parentheses move.
Y=4
3y/4=12/3
y=4 3/3=1
12/3=4 so y=4
