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Molodets [167]
1 year ago
8

n a 12 ounce bag of trail mix you notice that there are 18 M&Ms. You now purchase a 20 ounce bag of trail mix. How many M&am

p;Ms would you expect to find?
Mathematics
1 answer:
Maslowich1 year ago
6 0

30 M&Ms

1) Gathering the data

12-ounce bag of trail mix = 18 M&Ms

20-ounce bag=?

2) Assuming that the M&Ms are placed in following a constant rate we can write the following proportion:

12 --------------- 18

20 --------------- y

<em>Cross multiplying it due to the first property of proportions</em>

<em />

12y =20 x 18

12y = 360

y=30

3) So, I'd expect to find 30 M&Ms at a 20-ounce bag of trail mix.

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A 12​-tooth gear on a motor shaft drives a larger gear having 42 teeth. If the motor shaft rotates at 700 ​rpm, what is the spee
nata0808 [166]

Answer:

203 rpm

Step-by-step explanation:

The speed of the larger gear can be calculated using the following equation:

v = \omega*R  

<u>Where</u>:

ω: is the angular velocity of the motor = 700 rpm

R: is the gear ratio

The gear ratio is the following:

R = \frac{n_{(a)}}{n_{(b)}}  

<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:

R = \frac{12}{42} = 0.29

Now, the speed of the larger gear is:

v = \omega*R = 700 rpm*0.29 = 203 rpm

Therefore, the speed of the larger gear is 203 rpm.

I hope it helps you!                        

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Step-by-step explanation:

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