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lublana

Answer:

193.55 parts  per hour

Step-by-step explanation:

We are given that a machine stamps 50 metal parts  

Time taken by machine=15 minutes 30 seconds

We have to find the unit rate in parts per hour

We know that 1 hour=3600 seconds

1 minute=60 seconds

15 minutes=[tex]15\times 60=900[/tex]seconds

Time=900+30=930 seconds

Time in hours=[tex]\frac{930}{3600}=\frac{31}{120}[/tex]

Rate=[tex]\frac{50}{\frac{31}{120}}[/tex]

Rate=[tex]50\times \frac{120}{31}[/tex]

Rate=193.55 parts  per hour

Hence, the unit rate =193.55 parts per hour

Using proportions, it is found that the unit rate is of 194 parts per hour.

  • This question is solved by proportions, using a rule of three.
  • In 15 minutes and 30 seconds = 930 seconds, 50 parts are produced. How many parts are produced in 1 hour = 3600 seconds?

The rule of three is:

930 seconds - 50 parts

3600 seconds - x parts

Applying cross multiplication:

[tex]930x = 50(3600)[/tex]

[tex]x = \frac{50(3600)}{930}[/tex]

[tex]x = 194[/tex]

The unit rate is of 194 parts per hour.

A similar problem is given at https://brainly.com/question/24372153

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