The problem involves the use of logic and creative thinking. The number of people in the garden is 35.
Given
When you enter the garden, the number of people increases by 1
So, the number of people in the garden is 35.
When 30 people are killed, there are still 35 people.
Hence, the number of people in the garden is 35.
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Answer:
5
Step-by-step explanation:
Answer:
You need to sell approximately 119 paper cups to sell all of the lemonade.
Step-by-step explanation:
Answer:
Step-by-step explanation:
Given the expression (–5a)(2a – 1)
Open the bracket
(–5a)(2a – 1)
= -5a(2a) -5a(-1)
= -10a² + 5a
hence the equivalent expression is -10a² + 5a
39. Each is a multiple of 12.
Since they are multiples if 12
The possibilities are
12, 12, 156
12,24,144
12,36,132
12,48,120
12,60,108
12,72,96
12,84,84
24,24,132
24,36,120
24,48,108
24,60,96
24,72,84
36,36,108
36,48,96
36,60,84
36,72,72
48,48,84
48,60,72
60,60,60
Hence the probability is 1/19 or 0.0526
An equiangular triangle has all angles equal to 60 degrees. A triangle with angles that are multiples of 12 can be equiangular triangle only if each angle is 60 degrees. The probability of this is low due to multiple possibilities of multiple of 12.
In mathematics, a triangle is defined as equiangular if all its angles are equal. For a triangle to be equiangular, each angle must measure 60 degrees because the sum of all angles in a triangle is always 180 degrees.
Note, if each angle of a triangle is a multiple of 12, the only way it can be an equiangular triangle is if each angle measures 60 degrees (which is indeed a multiple of 12). Therefore, for a triangle with angles that are multiples of 12 to be an equiangular triangle, each angle must be 60 degrees.
However, multiple possibilities exist for angles of a triangle that are a multiple of 12, for instance, 12, 72, 96 or 24, 36, 120 etc. Therefore the probability that randomly picked triangle with the given condition is equiangular is relatively very low.
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The distance between the midpoints of the first segment and the third segment is 2k/3. Hence, option A is the right choice.
The mid-point of a line segment is the point from which the distance to both ends of the line segment is equal.
In the question, we are given a line segment of length k units, which is divided into 3 equal parts.
We are asked to find the distance between the midpoints of the first and third segments.
Firstly, we divide the line segment at points k/3 and 2k/3, to get three equal parts of lengths k/3 each.
Now, the mid-point of the first segment = (0 + k/3)/2 = k/6.
The mid-point of the third segment = (2k/3 + k)/2 = 5k/6
Therefore, the distance between the midpoints of the first segment and the third segment is (5k/6 - k/6) = 4k/6 = 2k/3. Hence, option A is the right choice.
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Line segment of length k is divided into 3 equal parts.
so first segment is 0-k/3 and third segment is 2/3k-k
so mid-pt of 1st = k/6 and 3rd = 5/6k
so the distance in between = 5/6k-k/6 = 4/6k = 2/3k
ans is A
Answer:
Step-by-step explanation:
5(-2x -10) = 25(x + 1)
-10x - 50 = 25x + 25
by transposing
-10x - 25x = 25 + 50
-35x = 75
x = -75/35
x = 15/7
or 2.142857..... in decimal
Hope this helps
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Answer:
I'm not completely sure but i'm going to guess on D the domain is 1 < f < 7, the range is 24 < c(f) < 168
Step-by-step explanation:
because 1 cup is < to a cup of Flour (f), and the expression says 7 cups in total so i f is less than or equal to the total number of cups 7. then the range says c(f)=24(f), meaning you get 24 cookies for the input amount "f" of cups of flour. So the range would be 24 is grater of equal to the c(f)which in total (7 x 24) is equal to 168