Use the number line to find 3/4 × 2/5. Label all the parts above and below.
2 answers:
Answer:
3/4 × 2/5 = 3/10
Step-by-step explanation:
3/4 × 2/5 is equivalent to 3/4 of 2/5
First, you have to divide the number line in 5 parts, and locate 2/5 (see figure attached)
Next, you have to divide in 4 parts the segment that represents 2/5, and locate 3/4 of 2/5
If you continue dividing the whole line with the previous segment length, you will divide the whole line into 10 parts.
Then, 3/4 of 2/5 is 3/10.
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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!