The next number in the sequence will be 12.
The given sequence is: 8, 15, 14, 9, 1, 6, 3
If we express these numbers in words, then we can see that the words are in alphabetical order, like....
Eight, Fifteen, Fourteen, Nine, One, Six, Three
There are two numbers 10 and 12 in the options which starts with letter 'T' , but alphabetically 'Twelve' will be the next number after 'Three'
So, the next number in the sequence will be 12.
There are 54 people at the party.
18 people are wearing red which means that 36 people are not wearing red
54 - 18 = 36
The fraction represents the 36 people at the party that are wearing no red. We can find what percent of the people at the party are not wearing red by turning into a percent.
can be reduced to by dividing both the numerator and denominator by the greatest common factor of 36 and 54.
2 ÷ 3 = 0.667
0.667 × 100 = 66.67%
Therefore, 66.67% of the people at the party are not wearing red
The solution region of the inequalities y > 2x - 3 and y < 2x + 4 would be the region between the parallel lines y = 2x - 3 and y = 2x + 4.
Linear Inequalities are the statements in mathematics where the left and right hand side are separated using inequality symbols like <, >, ≤ and ≥.
We have the system of inequalities given here:
y > 2x - 3 and
y < 2x + 4
To solve this first take the inequalities as equations y = 2x - 3 and y = 2x + 4.
Take y = 2x - 3
When x = 0, then y = -3
When x = 1, then y = -1
When y = 0, then x = 1.5
We get three points here (0, -3), (1, -1) and (1.5, 0).
Draw a line passing through these points.
Substitute (x, y) as (0, 0), then the inequality y > 2x - 3 become 0 > -3, which is true. Therefore solution region is the region containing the origin.
Similarly, take y = 2x + 4.
When x = 0, then y = 4
When x = 1, then y = 6
When y = 0, then x = -2
We get three points here, (0, 4), (1, 6) and (-2, 0).
Substitute (x, y) as (0, 0), then the inequality y < 2x + 4 become 0 < 4, which is true. Therefore solution region is the region containing the origin.
Hence the solution region of these inequalities would be the region lower to the line y = 2x + 4 and the region upper to the line y = 2x - 3.
To learn more about Linear Inequalities, click:
Second option on e2020