Answer:
203 rpm
Step-by-step explanation:
The speed of the larger gear can be calculated using the following equation:
<u>Where</u>:
ω: is the angular velocity of the motor = 700 rpm
R: is the gear ratio
The gear ratio is the following:
<u>Where:</u>
n(a): is the number of teeth on the small gear = 12 teeth
n(b): is the number of teeth on the larger gear = 42 teeth
The gear ratio is:
Now, the speed of the larger gear is:
Therefore, the speed of the larger gear is 203 rpm.
I hope it helps you!
Answer:
Step-by-step explanation:
(a/5) - (b/3) = (a/2) - (b/6)
+(B/3) + (b/3)
NOTE: use property of equality to isolate <em>b</em> from <em>a</em>
(a/5) = (b/3) + (a/2) - (b/6)
-(a/2) - (a/2)
NOTE: continue to use property of equality to isolate <em>a</em><em> </em>from <em>b</em>
(a/5) - (a/2) = (b/3) - (b/6)
60((a/5) - (a/2)) = ((b/3) - (b/6))60
NOTE: 60 is a common multiple of 5, 2, 3, and 6
12a - 30a = 20b - 10b
NOTE: combine alike terms
-17a = 10b
-17a/-17 = 10b/-17
NOTE: decide by -16 to find what a is equal to
Final answer
The number of cookies and trays are illustrations of greatest common factors.
- The number of trays is 8
- 6 chocolate chips, 8 rainbows and 15 oatmeal cookies would fit each tray
The given parameters are:
<u>(a) The number of trays</u>
To do this, we simply calculate the greatest common factor of 48, 64 and 120
Factorize the numbers, as follows:
So, the GCF is:
Hence, the number of tray is 8
<u>(b) The number of each type of cookie</u>
We have
Divide each cookie by the number of trays
So, we have:
Hence, 6 chocolate chips, 8 rainbows and 15 oatmeal cookies would fit each tray
Read more about greatest common factors at:
brainly.com/question/11221202
