Answer:
10 hours
Step-by-step explanation:
(150/x) + 1.5 + (450/(x+15)) = 600/x
Multiply through by x(x + 15):
150(x + 15) + 1.5x(x + 15) + 450x = 600(x + 15)
150x + 2250 + 1.5x^2 + 22.5x + 450x = 600x + 9000
150x + 2250 + 1.5x^2 + 22.5x + 450x - 600x - 9000 = 0
1.5x^2 + 22.5x - 6750 = 0
x = (-22.5 +/- sqrt(22.5^2 - 4(1.5)(-6750))) / (2*1.5)
x = (-22.5 +/- sqrt(506.25 + 40500)) / 3
x = (-22.5 +/- sqrt(41006.25)) / 3
x = (-22.5 +/- 202.5) / 3
x = 180/3 or -225/3
x = 60 or -75
But a negative number doesn't make sense, so therefore x = 60, so the journey took 600/60 = 10 hours.
Yes it is true that when you write a check you must write the amount to be paid in both numbers and words for security purposes
Answer:
∡ZA = 66°
Step-by-step explanation:
Suplementary angles sum 180°
ZA + ZB = 180°
then:
(2x - 14)° + (3x-6)° = 180°
2x + 3x - 14 - 6 = 180
5x - 20 = 180
5x = 180 + 20
5x = 200
x = 200/5
x = 40
then:
∡ZA = (2x - 14)
∡ZA = (2*40 - 14)
∡ZA = (80-14)
∡ZA = 66°
Answer:
The population of bacteria after 6 days is 2,313.06
Step-by-step explanation:
Given as :
The initial population of bacteria = i = 1,000 bacteria
The growth rate of bacteria per day = 15%
Let The population of bacteria after 6 days = f
The time period of growth = 6 days
<u>Now, According to question</u>
The population of bacteria after 6 days = initial population × 
Or, f = i × 
Or, f = 1000 × 
Or, f = 1000 × 
Or, f = 1000 × 2.31306
∴ f = 2,313.06
So,The population of bacteria after 6 days = f = 2,313.06
Hence,The population of bacteria after 6 days is 2,313.06 Answer
One half as a decimal is .5
