30 of the divisors are multiples of 3
The factors of 2160 are 1, 2160, 2, 1080, 3, 720, 4, 540, 5, 432, 6, 360, 8, 270, 9, 240, 10, 216, 12, 180, 15, 154, 16, 135, 18, 120, 20, 108, 24, 90, 27, 80, 30, 72, 36, 60, 40, 54, 45, 48
These are all divisors of 2160 but only 30 are multiples of 3.
The ones that are NOT are 1, 2, 4, 5, 8, 10, 16, 20, 40 and 80
You can also do this using prime factors 2x2x2x2x3x3x3x5 = 2160 but it is harder to explain.
There is no solution for this equation since they have the same slope, x/1. The only difference between these two is that their y intercepts are different meaning that they will be parallel lines that will never intersect among one other. For example, think of it as two separate lines that are have the same slope and never gain more distance/units from one another.
Solve:
To solve, you have to get one of this equations into a Ax+By=C equation form, standard equation. Let’s change y=x+4 into a standard equation.
We have to get x and y together and 4 as C.
So let’s subtract x from both sides;
y=x+4
-x -x
————————
-x+y=4
This is a standard equation.
Now let’s substitute.
take the standard equation and plug in y which is x+4 since there is a equation meaning it’s y=x+4
-x+(x+4)=4
Let’s simplify this mess.
-x+x equals 0. So we are left with 4=4.
Subtract 4 from both sides and we get 0=0
This means there is no solution. Hoped this helped.
Answer:side one is 8cm
Side 2 is 8cm
Side 3 is 15 cm
Step-by-step explanation:
The perimeter of a shape is the distance around the shape. The perimeter of a triangle is the sum of the sides of the triangle.
Let x represent the length of side one and side 2. Since they have equal length, the sum of their length is x + x = 2x cm
Side three is one cm shorter then twice the length of side one. This means that the length of side three would be 2x - 1
The perimeter of a triangle is 31cm. Therefore,
2x + 2x - 1 = 31
4x - 1 = 31
4x = 31 + 1 = 32
x = 32/4 = 8 cm
Side three = 2×8 - 1 = 16 - 1 = 15
Answer:
1/4
Step-by-step explanation:
this is the answer hope will help
Answer: the probability is 0.13
Step-by-step explanation:
First, each question has 5 options and only one is correct.
Then, selecting at random, the probability of getting a correct answer is equal to:
p = 1/5 = 0.20 (and the probability of getting it incorrect is p = 4/5 = 0.80)
Now, if out of 30 questions, we got 4 correct and 26 incorrect, the probability for a given combination is;
p = (0.20^4)*(0.80^26)
But we also need to multiply this by the total number of combinations.
This is we have 30 questions in total, and we can select 4 of them that will be the correct ones.
Now, if we have N objects in total, the number of different combinations of K elements out of those N elements is
In this case, N = 30 and K = 4.
Then the probability of getting exactly 4 correct answers is:
P = (0.20^4)*(0.80^26)*27,405 = 0.13
