This is esay to do when you realize the the speed of mowing is addtive. This is if John mows at 1 lawn / (2/3) hour and Gerge mows at 1 lawn / 1hour, the total speed of mowing is:
1 / (2/3) + 1 = 3/2 + 1 = 5/2
=> 5/2 of lawn per hour
Now, the time is calcualted as the amount of lawn divided by the speed:
1 lawn / (5/2 lawn/hour) = 2/5 hour.
Answer: 2/5 of an hour.
Answer:
6 socks
Step-by-step explanation:
What we must do is calculate the probability of this happening, that he takes out two black socks in the first two taken out.
There are 12 black socks and in total they are 24, therefore the probability of drawing 1 is:
12/24
and now the probability of getting another one is 11 (there is one less outside) and in total they are 23:
11/23
the final probability is the multiplication of these events:
(12/24) * (11/23)
P = 0.24
Now, to know how many you should get, we multiply the probability by the total number of socks, that is:
0.24 * 24 = 5.76
So you must take out at least 6 socks for the above to happen.
The numerator and denominator can be divided by 4 to get 12/25.
48 / 4 = 12
100 / 4 = 25
Ratios are the quantitative relation between two amounts showing the number of times one value contains or is contained within the other.
Equivalent ratios are like equivalent fractions, if they are the same value they are equivalent.
For example, to find two ratios that are equal to 1:7, first write 1:7 as the fraction 1/7.
Step-by-step explanation:
the asymptotes of f(x) :
(4x-π) = π/2
4x = 3π/2 => x = 3π/8
(4x-π) = 3π/2
4x=5π/2 => x = 5π/8
the answer is
D. X= 3pi/8, x=5pi/8