<h3>Answer: Commutative Property (choice C)</h3>
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Explanation:
Here are all of the justifications for each step
- Step 1. None needed. This is the original expression
- Step 2. Distributive property
- Step 3. Multiply (the 3 and 5 multiply to 15)
- Step 4. Commutative property. Specifically, this is the commutative property of addition which allows us to add any two numbers in any order we want. In this case, the -15 and 4x terms swap places.
- Step 5. Associative property. The parenthesis group the first two terms away from the third term.
- Step 6. Combine like terms. Both 3x and 4x have an x only so they are like terms that combine to 7x. You can think of it as 3+4 = 7, then you just tack an x onto everything to get 3x+4x = 7x.
Y = 1/2 +7
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Answer:
12
Step-by-step explanation:
the shapes are similar which means the sides are proportional, you can set up a ratio using the sides as 10/40 = 3/x
solving that gives you x =12
Answer:
Step-by-step explanation:
20% of 30 is 6 are randomly selected.
30 choose 6 = 30! / (30-6)! 6!
= 30! / 24!6!
= 30 * 29 * 28 * 27 * 26 * 25
--------------------------------- <-- 24! cancels
6 * 5 * 4 * 3 * 2 * 1
= 29 * 28 * 27 * 26 * 25
---------------------------------- <--- 30 = 6 * 5 cancels
4 * 3 * 2 * 1
= 29 * 7 * 9 * 13 * 25 <-- 4 cancels 28, 3 cancels 27, 2 cancels 26
= 593775
Answer:
Hey there!
6 hrs 45 mins = 405 mins, or 6.75 hours.
Hope this helps :)
