Answer:
The numbers of measure of music played are 1 and 7
Step-by-step explanation:
Given

Required
Solve for x when s = 80
Substitute 80 for x

Subtract 50 from both sides


Divide through by 10


Reorder

This can be split into
or 
Solve for x
or 
or 
Hence:
<em>The numbers of measure of music played are 1 and 7</em>
A 0 will make the right decision
<h3>
Answer: 280</h3>
Work Shown:
x = number of students in the 6th grade class
30% = 30/100 = 0.30
30% of x = 0.30x this is equal to 84 since "30% of the 6th graders are boys (and there are 84 boys in sixth grade)", so we say 0.30x = 84
Divide both sides by 0.30 to isolate x
0.30x = 84
0.30x/0.30 = 84/0.30
x = 280
So there are 280 students overall in the 6th grade class.
Answer:
340 degrees
Step-by-step explanation:
So the key thing here is to notice that we are given the circumference which will allow us to find a value for the radius of the circle and hence the angle subtended by the arc (the central angle).
So the circumference of a circle = 2pi(r)
This means:
6 = 2pi(r)
Which means that
r = 6/2pi or r = 3/pi
Now we can use this value of r to find our angle in conjunction with the value of the arc length. So:
Arc length is defined by: length = θr
Where θ is our angle value.
So lets plug in:

Multiply by pi to get:

Divide by 3 to get that:
θ = 17pi/9
So if we convert that from radians to degrees we get 340 degrees.