27) if a = 1/a
multiply both sides by a
a * a = 1/a * a
a^ 2 = 1
Answer is D) 1
28)
6 x 75 = 450
7 x 80 = 560
8 x 85 = 680
9 x 90 = 810
Total all students in class = 6 + 7 + 8 + 9 = 30 students
Total score of whole class:
450 + 560 + 680 + 810 = 2500
Average = 2500 /30 = 83.3 = 83 1/3
Answer is C) 83 1/3
Answer:
3
Step-by-step explanation:
(2x +1)/8 - (x-1)/3 = 5/24
multiple the 2x+1/8 by 3 and multiple (x-1)/3 by 8 then add them up
6x+3/24 - 8x-8/24 ➡ 6x-8x+11/24 = 5/24
➡ -2x+11 = 5
➡ -2x = 5-11
➡ x = 3
The <em>correct answer</em> is:
An identity is an equation that is true for all real numbers.
Explanation:
An identity is a mathematical statement that is always true. It does not matter what numbers you substitute in for the variables, the result will be the same.
Answer:
C) 50 square units
Step-by-step explanation:
from (-4,-1) to (6,-1) is 10
from (-4,-1) to (-4,4) is 5
10x5=50
Answer:
The system of inequalities are
x - y < 1 and y < - 2
Step-by-step explanation:
The horizontal line shown in the graph has equation y = - 2 {As it is parallel to x-axis}
Now, this line is dotted and the lower portion of the graph is shaded.
So, the inequality will be y < - 2 ......... (1)
Again, another line is there in the graph which passes through the points (1,0) and (0,-1)
So, its equation will be 
⇒ y + 1 = x
⇒ x - y = 1
Now, the origin (0,0) is within shaded zone of the inequality and putting x = 0 and y = 0, we get
0 - 0 < 1
So, the equation of the inequality is x - y < 1 {As the line is dotted}
Therefore, the system of inequalities are
x - y < 1 and y < - 2 (Answer)
