Answer:
B. and E.
Step-by-step explanation:
If 5/6 of them are sleeping then 40 alligators are awake
Answer:
The maximum length of the second piece is 61.5 ft.
Step-by-step explanation:
We know that the rope is 100 ft long.
There are three pieces that make up the 100 ft. The first is length x, the second is three times as long as the first, so it would be 3x, and the third is 18ft.
So if we were to write this as an equation it would look something like this: x + 3x + 18 = 100. We can simplify this some more.
4x + 18 = 100
4x = 82
x = 20.5
Now that we know the length or the first piece / x. We can easily find the length of the second (3x) by plugging in 20.5 for x.
We find that the maximum length of the second piece of rope is 61.5 feet.
Good luck, hope that helps!
Answer:
[5 . (3 . 12)] shows an equivalent expression to [(5 . 3) . 12] if only the associative property was used to transform the expression ⇒ 1st answer
Step-by-step explanation:
The associative property means you can add or multiply some numbers without matter where you put the parenthesis
Ex: (a + b) + c = a + (b + c) <em>OR</em> (a . b) . c = a . (b . c)
<em>In associative property we move the parenthesis only (we do not move the numbers)</em>
Subtraction or division are not associative
∵ The expression is [(5 . 3) . 12]
- The parenthesis are around the first two numbers, then the
equivalent expression is the one whose parenthesis are
around the last two numbers
∴ The equivalent expression is [5 . (3 . 12)]
∴ [(5 . 3) . 12] ≡ [5 . (3 . 12)]
[5 . (3 . 12)] shows an equivalent expression to [(5 . 3) . 12] if only the associative property was used to transform the expression
