Answer:
Equation is P=4s
Step-by-step explanation:
There is a pattern here:
8 is 4 times as much as 2
12 is 4 times as much as 3
20 is 4 times as much as 5
40 is 4 times as much as 10
Since P varies directly with s, we can make an equation: P=4s where k=4 in the form of y=kx
Hey!
It says that it is the sum of 3 consecutive odd integers right?
So then we give these numbers some variables to work with like so...
x = 1st number
x + 2 = 2nd number
x + 4 = 3rd number
now set all of them equal to 207
x + x + 2 + x + 4 = 207
3x + 6 = 207
3x = 201
<u>x = 67</u><u /> <u>x + 2 = 69</u><u /> <u /><u /> <u>x + 4 = 71
</u><u>
</u>
<h3>
Answer: 16 miles</h3>
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Explanation:
x = time in hours spent going upstream
5-x = remaining time in hours spent going downstream
Those two quantities add to 5 hours total.
Let's find the expression for how far the fisherman went upstream
distance = rate*time
d = r*t
d = 2x
Do the same for the downstream portion
d = r*t
d = 8(5-x)
d = 40-8x
The values of d refer to the same distance because he came back to the starting point.
Set those right hand sides equal to one another and solve for x.
2x = 40-8x
2x+8x = 40
10x = 40
x = 40/10
x = 4
5-x = 5-4 = 1
He spent 4 hours going upstream, and the remaining 1 hour coming back downstream.
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If he spent 4 hours going upstream at 2 mph, then he traveled d = r*t = 2*4 = 8 miles.
The remaining 1 hour going downstream at 8 mph means he traveled d = r*t = 8*1 = 8 miles, which matches with the previous result. This confirms we have the correct one-way distance of 8 miles.
Therefore, the total round trip distance is 2*8 = 16 miles
4 is the the ten thousands place
