Answer: Gear B turns 90 times when gear A turns 60 times
Step-by-step explanation: To solve this you just 30x3=90
Answer:
0.6
Step-by-step explanation:
the car moves at a speed of 3/5*65 miles per hour
that is 39 miles per hour
but this has nothing to do with the question as the only fraction is 3/5
Answer:
The number of musicians in the school is 3 times the number of athletes
Step-by-step explanation:
Answer:
x = 4
Explanation:
−2x − 4 + 5x = 8
[ Simplify both sides of the equation ]
−2x − 4 + 5x = 8
−2x + −4 + 5x = 8
(−2x + 5x) + (−4) = 8 (Combine Like Terms)
3x + −4 = 8
3x − 4 = 8
[ Add 4 to both sides ]
3x − 4 + 4 = 8 + 4
3x = 12
[ Divide both sides by 3 ]
3x / 3 = 12 / 3
x = 4
- PNW
Answers:
a = -6/37
b = -1/37
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Explanation:
Let's start things off by computing the derivatives we'll need

Apply substitution to get

I've factored things in such a way that we have something in the form Msin(x) + Ncos(x), where M and N are coefficients based on the constants a,b.
The right hand side is simply sin(x). So we want that cos(x) term to go away. To do so, we need the coefficient (a-6b) in front of that cosine to be zero
a-6b = 0
a = 6b
At the same time, we want the (-6a-b)sin(x) term to have its coefficient be 1. That way we simplify the left hand side to sin(x)
-6a -b = 1
-6(6b) - b = 1 .... plug in a = 6b
-36b - b = 1
-37b = 1
b = -1/37
Use this to find 'a'
a = 6b
a = 6(-1/37)
a = -6/37