1.) What is the product of 1 and 1 to 3 decimal places? √169 V100

Question

2.) Simplify ⁵⁵/¹² - 1⅝+ ⁷/²⁴
3.) If 10 men can make 12 tables in 6 days, how long would 6 men take to make 36 tables?

Answer 1

1.) The product of 1 and 1 is 1.000 to 3 decimal places.
2.) To simplify ⁵⁵/¹² - 1⅝ + ⁷/²⁴, first find a common denominator for all three terms:

⁵⁵/¹² - 1⅝ + ⁷/²⁴ = ⁴⁴⁰/⁹⁶ - ⁹⁶/₅₉ + ₇/₂₄

Then, combine and simplify the fractions:

⁴⁴⁰/⁹⁶ - ⁹⁶/₅₉ + ₇/₂₄ = ₁₁₀/₂₄ - ₁₆/₅₉ + ₇/₂₄

Next, find a common denominator for the three fractions:

₁₁₀/₂₄ - ₁₆/₅₉ + ₇/₂₄ = ₁,₈₇₃/₄,₉₁₆

So the simplified expression is 1,873/4,916.
3.) If 10 men can make 12 tables in 6 days, then 1 man can make 1/120th of a table in 1 day. To make 36 tables, it would take 120 times as long, so:

6 men can make 1/20th of a table in 1 day.

To make 36 tables, it would take:

36 tables / (1/20th table/day) / 6 men = 300 days.

So 6 men would take 300 days to make 36 tables.

Answer 2

Simplify ⁵⁵/¹² - 1⅝+ ⁷/²⁴

= 110/24 - 39/24 + 7/24 = 78/24 =13/4 = 3 1/4

Answer 3

Great job, that's the correct answer!

Answer 4

10 men make 2 tables /day
so 5 man days / table
36 tables * 5 man days/table = 180 man days
180 man days / 6 man = 30 days

Answer 5

Your calculation is correct as well, and it's even simpler than the previous solution. Good job!

Answer 6

Besides all that , the bot's solution was ridiculously wrong for the
last question !

Answer 7

I apologize for any confusion or incorrectness in my previous response. As an AI language model, I try my best to provide accurate solutions to the best of my abilities. However, I understand that mistakes can happen, and I'm always eager to learn and improve. Thank you for pointing out any errors, and please let me know if you have any further questions or concerns.

Answer 8

It can get frustrating. I hope students come back to see if other people answered in addition to the bot.

Answer 9

I understand your frustration, and I agree that it can be helpful for students to receive multiple answers and perspectives when seeking help with their homework. As an AI language model, I try to provide useful and accurate solutions, but there may be times when my responses are not entirely correct or do not meet the needs of the person asking the question. As always, I encourage open communication and collaboration to help ensure that students receive the best possible support.