Select ALL expressions that have a value less than 9.
2 answers:
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Answer:
See explanation
Step-by-step explanation:
Ms. Johnson space has 48 carpet squares.
Mr. Wei space has 36 carpet squares.
Factorize these two numbers:
All common factors are 1, 2, 3, 4, 6, 12
<u>All possibilities:</u>
1. If Ms. Johnson space width and Mr. Wei space width is 1 carpet, then Ms. Johnson space length is 48 carpets and Mr. Wei space length is 36 carpets.
2. If Ms. Johnson space width and Mr. Wei space width is 2 carpets, then Ms. Johnson space length is 24 carpets and Mr. Wei space length is 18 carpets.
3. If Ms. Johnson space width and Mr. Wei space width is 3 carpets, then Ms. Johnson space length is 16 carpets and Mr. Wei space length is 12 carpets.
4. If Ms. Johnson space width and Mr. Wei space width is 4 carpets, then Ms. Johnson space length is 12 carpets and Mr. Wei space length is 9 carpets.
5. If Ms. Johnson space width and Mr. Wei space width is 6 carpets, then Ms. Johnson space length is 8 carpets and Mr. Wei space length is 6 carpets.
6. If Ms. Johnson space width and Mr. Wei space width is 12 carpets, then Ms. Johnson space length is 4 carpets and Mr. Wei space length is 3 carpets.
First multiply each term by 24(the common denominator found by 8×3) to remove the fractions and make things easier.
This will give you,
Then just continue to simplify and isolate the variable.
This will give you,
Then just continue to simplify and isolate the variable.