Answer:i cant see anything i just see a black screen can you post the picture again?
Step-by-step explanation:
1.
The larger gear will have turned through an arc equivalent in length to the smaller circle's circumference. Thus:
2πr(small) = r(large)∅
2π(2) = 8∅
∅ = π/2 = 90°
2.
The distance covered by the larger gear will be:
C = 2πr
C = 2π(8)
C = 16π
Per revolution, the smaller wheel covers:
C = 2πr
C = 2π(2)
C = 4π
Number of revolutions of smaller wheel = 16π / 4π
Number of revolutions = 4
The last one if we shade the unwanted part
Let j = cost of one jumbo popcorn, and c = cost of one chocolate chip cookie.
Then, based upon the given info, 1j + 2c = $5.
Also, 3j + 5c = $14.50
Let's solve this system of equations using addition/subtraction:
Mult. the first equation by -3, to obtain -3j - 6c = -$15
Now add this result to the 2nd equation:
-3j - 6c = -$15
3j + 5c = $14.50
----------------------
-c = -$0.50, or c = $0.50. Since 3j + 5c = $14.50, subst. $0.50 for c
lets us find j:
3j + 5($0.50) = $14.50, so 3j = $12.00. Thus, j = $4.00.
Jumbo popcorn is $4/bag, and choc. chip cookies $0.50 each.
