1 kilogram = 1000 grams
100g • 10 = 1000g
Isaiah would need to put 10 100 gram weights on the scale in order for it to equal 1 kilogram.
number of face cards in a deck of 52 cards = 12
total number of cards = 52
ways of choosing 'n' cards from 52 cards = ⁵²Cⁿ = 52!/(n!)(52-n)!
ways of choosing 'n' face cards = ¹²Cⁿ = 12!/(n!)(12-n)!
Probability = favorable outcomes/total outcomes
Probability of choosing n face cards = ¹²Cⁿ/⁵²Cⁿ
Probability of choosing n face cards = (12!/(n!)(12-n)!) / 52!/(n!)(52-n)!
= [ 12! * (52-n)! ]/[ (12-n)! * 52!)
Answer:
5n
Step-by-step explanation:
Think about it:
If Tommy has 4 friends (n = 4), then he will have to give 5 pencils to each person. The total number of pencils is 5 * n or 5 * 4 = 20.
Similarly, if Tommy has 0 friends (I can relate), then he will have to give 5 pencils to each of his imaginary friends. The total number of pencils he has to give out to his real friends is 5 * n or 5 * 0 = 0.
Answer:
11.5 m
Step-by-step explanation:
The problem can be solved using a trig relation that relates the side opposite the angle to the side adjacent to the angle. That relation is ...
Tan = Opposite/Adjacent
The lengths of the adjacent sides of the triangle can be found by rearranging this formula:
Adjacent = Opposite/Tan
__
The "opposite" side of the triangle is the height of the tree, which we can represent using h. The problem statement tells us of a relation between adjacent side lengths and angles:
h/tan(25°) -h/tan(50°) = 15 . . . . . moving 15 meters changes the angle
h(1/tan(25°) -1/tan(50°)) = 15
h = 15·tan(25°)·tan(50°)/(tan(50°) -tan(25°)) = 15(0.55572/0.72545)
h ≈ 11.4907 . . . . meters
The height of the tree is about 11.5 meters.
The commutative property implies that, the order of multiplication is not important.
is true
Commutative property of multiplication states that:
If 
The expression is given as:

To get the commutative expression, we simply change the position of each factor in the expression.
So, some possible equivalent expressions are:



There are several other equivalent expressions.
From the list of options;
is true
Read more about commutative property at:
brainly.com/question/7037119