Answer:
- boat speed: 17.25 mph
- current: 2.5 mph
Step-by-step explanation:
Upstream, the speed of the current (c) subtracts from the speed of the boat (b) to give the net speed. Downstream, the speed of the current adds. We can make use of the relation ...
speed = distance/time
b-c = 29.5/2 = 14.75 . . . . . miles/hour
b+c = 59.25/3 = 19.75 . . . .miles/hour
Subtracting the first equation from the second, we get ...
(b+c) -(b-c) = 19.75 -14.75
2c = 5
c = 2.5
Then either equation can be used to find b:
b = 14.75 +c = 17.25
The speed of the boat in still water is 17.25 miles per hour; the speed of the current is 2.5 miles per hour.
1 in 38.
Nothing much to say about this problem. There are 38 spaces on the roulette wheel and an every space on a fair wheel has an equal probability of being selected. So you would expect 1/38 = 0.026315789 = 2.6315789% of the time for the number 21 to show up.
<u>Let us assume that:</u>
We can also write it as:
Squaring both sides, we get:
By splitting the middle term:
<u>Therefore:</u>
<u>But x cannot be negative. </u>
Therefore, the value of the expression is 3.
Given:
We can also write it as:
This pattern will continue.
Answer:
k = -2.
Step-by-step explanation:
5(3 - 2k) = 2k + 39 Distribute the 5 over the parentheses:
15 - 10k = 2k + 39
15 - 39 = 2k + 10k
12k = -24
k = -2.
