Scott has ridden 12% of the course.
Step-by-step explanation:
Length of bike course = 50 miles
Distance covered = 6 miles
Distance covered in percentage = 
Distance covered in percentage = 
Distance covered in percentage = 
Distance covered in percentage = 12%
Scott has ridden 12% of the course.
Keywords: percentage, distance
Learn more about percentages at:
#LearnwithBrainly
<h3>
Answer: ds/dt = 11</h3>
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Work Shown:
Before we can use derivatives, we need to find the value of s when (x,y) = (15,20)
s^2 = x^2+y^2
s^2 = 15^2+20^2
s^2 = 225+400
s^2 = 625
s = sqrt(625)
s = 25
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Now we can apply the derivative to both sides to get the following. Don't forget to use the chain rule.
s^2 = x^2 + y^2
d/dt[s^2] = d/dt[x^2 + y^2]
d/dt[s^2] = d/dt[x^2] + d/dt[y^2]
2s*ds/dt = 2x*dx/dt + 2y*dy/dt
2(25)*ds/dt = 2(15)*5 + 2(20)*(10)
50*ds/dt = 150 + 400
50*ds/dt = 550
ds/dt = 550/50
ds/dt = 11
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Side note: The information t = 40 is never used. It's just extra info.
Hiya. I'm going to rewrite the second equation.
By subtracting 5x by both sides, I'll be able to have y by itself:
-y=-5x+13
I'm going to then divide both sides by -1 to get:
y=5x-13.
Then, I'm going to plug that equation into the first equation
3x+2(5x-13)=39
Factor:
3x+10x-26=39
Combine like terms:
13x=65
Divide both sides by 13 to get x by itself to get x=5
Plug this back into the equation of y=5x-13
y=5(5)-13 to get y=12
Answer:
4a/5
Step-by-step explanation:
(a+a+a+a) / 5
Combine like terms
4a/5
Answer:Marks below 75%
Step-by-step explanation:
Since the pass marks is 75%,the fail marks should be Marks below 75%
