HELPP! Geometry volume practice
1 answer:
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Answer:
Point (0,0)
Step-by-step explanation:
Given the inequality y > 12x – 11.
We will check which of the given options will be applied for the inequality
A) (1,0)
Substitute with x = 1 and y = 0
0 > 12*1 - 11
0 > 1 ⇒ Wrong
So, Point (1,0) is not part of the solution of the inequality.
B) (3,2)
Substitute with x = 3 and y = 2
2 > 12*3 - 11
0 > 25 ⇒ Wrong
So, Point (3,2) is not part of the solution of the inequality.
C) (1,1)
Substitute with x = 1 and y = 1
1 > 12*1 - 11
1 > 1 ⇒ Wrong
So, Point (1,1) is not part of the solution of the inequality.
D) (0,0)
Substitute with x = 1 and y = 0
0 > 12*0 - 11
0 > -11 ⇒ True
So, Point (0,0) is part of the solution of the inequality.
Also, see the attached figure which represents the given inequality
The shaded area represents the solution of the inequality, and we can note that point (0,0) is part of the solution of the inequality
Answer:
24
Step-by-step explanation:
Given that:
The ratio of band students to choir students is 4 : 6.
Total number of students in the band and choir combined = 60
To find:
The number of students in the band = ?
Solution:
First of all, let us understand the meaning of the ratio given.
Ratio of 4 : 6 means there are 4 number of band students for every 6 number of choir students.
Also, number of band students will be in the multiples of 4 only and
number of choir students will be in the multiples of 6 only
Let the total number of band students = 4
Let the total number of choir students = 6
Total number of students = 60
As per question statement, we can write the following equation:
Total number of band students = 4 6 = <em>24</em>