A) 2x-7=13
2x=20
x=10
B) 3x+4=25
3x=21
x=7
Answer:
120 people would play
Step-by-step explanation:
Step-by-step explanation:
the probability is always the number of desired cases over the number of all possible cases.
in our situation we have 15 cards.
that is the total possible cases when a random card is chosen.
how many desired cases do we have ?
a number NOT a multiple of 5.
how many are there ?
it is easier to say how many numbers there are being a multiple of 5 : 5, 10, 15
so, 3 numbers out of the 15 are multiple of 5.
that means
15 - 3 = 12 numbers of the 15 are NOT multiples of 5.
so, the probability to draw a card that is not a multiple of 5 is
12/15 = 4/5 = 0.8
the information about event B and even numbers is irrelevant for the question.
Answer:
4 plants
Step-by-step explanation:
In this problem, we are given the total area of the garden, which is:
The number of plants that can fit inside the garden is given by the equation:
where:
n is the number of plants
a is the area of each plants
In this problem, the area of each plant is
Therefore, we can re-arrange the equation to find the number of plants that can fit:
For this case we have the following fraction:
(1-cos ^ 2 (θ)) / (sin ^ 2 (θ))
We must take into account the following trigonometric identity:
cos ^ 2 (θ) + sin ^ 2 (θ) = 1
Therefore rewriting we have:
sin ^ 2 (θ) = 1 - cos ^ 2 (θ)
Substituting in the given fraction we have:
(1-cos ^ 2 (θ)) / (sin ^ 2 (θ))
= (sin ^ 2 (θ)) / (sin ^ 2 (θ))
= 1
Answer:
1
