Answer:
B. Step 2 uses the associative property, and step 3 uses the commutative property.
Step-by-step explanation:
The associative property lets you group terms for addition any way you like. It appears that in Step 2, the grouping is ...
4 + (1/6 + 3) + 5/6
The commutative property lets you change the order of any pair of terms involved in addition. It appears that in Step 3, the order of the terms within the group has been swapped.
4 + (3 + 1/6) + 5/6
_____
<em>Comment on associative and commutative properties</em>
What applies to terms in addition applies to factors in multiplication.
Step-by-step explanation:
= 55 - 2x is the answer .
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Answer:
The number of distinct arrangements is <em>12600</em><em>.</em>
Step-by-step explanation:
This is a permutation type of question and therefore the number of distinguishable permutations is:
n!/(n₁! n₂! n₃! ... nₓ!)
where
- n₁, n₂, n₃ ... is the number of arrangements for each object
- n is the number of objects
- nₓ is the number of arrangements for the last object
In this case
- n₁ is the identical copies of Hamlet
- n₂ is the identical copies of Macbeth
- n₃ is the identical copies of Romeo and Juliet
- nₓ = n₄ is the one copy of Midsummer's Night Dream
Therefore,
<em>Number of distinct arrangements = 10!/(4! × 3! × 2! × 1!)</em>
<em> = </em><em>12600 ways</em>
<em />
Thus, the number of distinct arrangements is <em>12600</em><em>.</em>
Associative Property states that grouping symbols does not affect the outcome. This property works for Addition and Multiplication:
2 + (3 + 4) = (2 + 3) + 4
6 • (5 • 4) = (6 • 5) • 4
Awnser:
9,12,18
Step-by-step explanation:
you have to add the smallest numbers together and it has to be greater that the greatest number.
9+12= 21
21>18
