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Answer :
Sure! Let's solve this problem step-by-step:
1. Items Produced Per Hour: The assembly line produces 20 items in one hour.
2. Hours in a Day: The line operates for 24 hours in a day.
- So, to find out how many items are produced in a day, you multiply the items produced per hour by the hours in a day:
[tex]\[
\text{Items Per Day} = 20 \, \text{items/hour} \times 24 \, \text{hours/day}
\][/tex]
[tex]\[
\text{Items Per Day} = 480 \, \text{items}
\][/tex]
3. Days in a Month: For this problem, we are using a 30-day month.
- To find the total number of items produced in a month, multiply the items produced per day by the number of days in the month:
[tex]\[
\text{Items Per Month} = 480 \, \text{items/day} \times 30 \, \text{days/month}
\][/tex]
[tex]\[
\text{Items Per Month} = 14,400 \, \text{items}
\][/tex]
Therefore, the machine produces 14,400 items in one month. The correct answer is option B, 14,400.
1. Items Produced Per Hour: The assembly line produces 20 items in one hour.
2. Hours in a Day: The line operates for 24 hours in a day.
- So, to find out how many items are produced in a day, you multiply the items produced per hour by the hours in a day:
[tex]\[
\text{Items Per Day} = 20 \, \text{items/hour} \times 24 \, \text{hours/day}
\][/tex]
[tex]\[
\text{Items Per Day} = 480 \, \text{items}
\][/tex]
3. Days in a Month: For this problem, we are using a 30-day month.
- To find the total number of items produced in a month, multiply the items produced per day by the number of days in the month:
[tex]\[
\text{Items Per Month} = 480 \, \text{items/day} \times 30 \, \text{days/month}
\][/tex]
[tex]\[
\text{Items Per Month} = 14,400 \, \text{items}
\][/tex]
Therefore, the machine produces 14,400 items in one month. The correct answer is option B, 14,400.
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