Answer:
Machine 1: 165
Machine 2: 210
Step-by-step explanation:
Machine 1: 11 bottle per minute
11 * 15 = 165 labeled bottles per minute
Machine 2: 14 bottles per minute
14*15 = 210 labeled bottles per minute
Answer:
see explanation
Step-by-step explanation:
3x and 144 are adjacent angles on a straight line and sum to 180°
3x + 144 = 180 ( subtract 144 from both sides )
3x = 36 ← value of 3x
divide both sides by 3
x = 12
and
2y - 5 and 95 are vertically opposite angles and are congruent, so
2y - 5 = 95 ← value of 2y - 5
add 5 to both sides
2y = 100 ( divide both sides by 2 )
y = 50
Then
x + y = 12 + 50 = 62
Answer:
2261.94671
Step-by-step explanation:
You must first find the circumference of the track. Using 2(pi)r.
Where pi=3.14... and r=radius
you can find the radius by dividing the diameter by 2, 120/2=60
Afterwards you input 60 into the equation. 60*(pi)*2= 376.99111843077515
Using that number you multiply it by 6 because she ran the circumference 6 times. 6*376.99111843077515 = 2261.94671
NOTE: The question may require you to simplify at certain times so answers may vary slightly. EX: pi = 3.14, Circumference = 377
