Thank you for visiting A machine packs 180 boxes of cereal in a half hour It takes 55 minutes to pack 330 boxes Is this statement true or false. This page is designed to guide you through key points and clear explanations related to the topic at hand. We aim to make your learning experience smooth, insightful, and informative. Dive in and discover the answers you're looking for!
Answer :
Answer:
True
Step-by-step explanation:
If you divide 180 by 30 you will get 6. then 6 times 5 is 30. If you add 30 to 330 you will get 360. If you take 180 boxes for 30minutes and double. You get 360 boxes in 60minutes. If 5 minutes is 30 boxes. Subtract 30 from 360 and you get 330 in 55 minutes.
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Rewritten by : Jeany
Final answer:
The statement that a machine packs 330 boxes in 55 minutes, given that it packs 180 boxes in 30 minutes, is true, as both scenarios indicate the machine packs at a consistent rate of 6 boxes per minute.
Explanation:
The student is asking if it's true that a machine that can pack 180 boxes of cereal in 30 minutes can also pack 330 boxes in 55 minutes. To solve this, we need to compare the rates of the boxes being packed. Firstly, we determine the rate for the half-hour session: 180 boxes in 30 minutes gives us a rate of 6 boxes per minute (180 boxes ÷ 30 minutes).
Next, we check if the machine packs 330 boxes in 55 minutes at the same rate, which would be 6 boxes per minute. If we multiply 6 boxes per minute by 55 minutes, we get 330 boxes, which means the statement is true.
