To solve for the time it takes to travel a certain distance at a certain speed, use the formula,
time = distance / speed
Given that the entire journey takes four hours, add up the time it takes David to row upstream with that of him travelling downstream. This is mathematically represented as,
total time = time upstream + time downstream
4 = 3/(x - 1) + 3/(x +1)
Solving for x in the equation gives 2. Thus, David's speed in still water is 2 miles per hour.
a. By the fundamental theorem of calculus, the velocity function is
The particle starts at rest, so 
, and we have
Then the position function is
with 
, so
b. The particle is at rest whenever 
; this happens for
where 
is any integer.
17<h=42.
Not sure if you need to know, but h=59.
Answer: It will take Damon 6 weeks to save the money he needs to buy the snowboard
Step-by-step explanation:
First, let's see what the problem is giving us:
-The variable X will represent the number of weeks it will take Damon to save the money he needs.
- Damon has $40
- Damon is going to safe $20 weekly
- The snowboard costs $160
Therefor:
Our equation will be: $40 + $20X = $160
Step 1
We need to isolate the variable by subtracting in both sides of the equation 40 in order to maintain the equality.
40 - 40 + 20X = 160 - 40
This will let us with 20X = 120
Step 2
We have to isolate the variable again, but this time (because the variable is being multiplied by 20) we have to divide on both sides of the equation.
20X/20 = 120/20
Therefore: X=6
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the least common multiple of 8 and 6 is 24
