Answer: 36
Step-by-step explanation:
The outcomes for first dice= 6 as there are 6 faces of dice
The outcomes for second dice=6
Total outcomes= 6 x 6= 36
In these 36 outcomes, there are 6 outcomes in which same pair of faces appear on the dice i.e. (1,1), (2,2), (3,3), (4,4), (5,5), and (6,6).
Answer: 64 students
Step-by-step explanation:
What you already know : Total students in English class= 100
Nine twenty-fifths of the class did not like the book.
Therefore, the number of students like the book =Total students- students did not like the book
=100-36=64 students.
Answer:
Final answer is D. 
Step-by-step explanation:
We need to factor the given trinomial 

Make two groups of first two and last two term then find GCF



Which correctly matches with choice D)
Hence final answer is D. 
The 8 is in the hundredths place.
Answer:
y = -3x - 4
Step-by-step explanation:
From the graph we see that the equation of a line is y = 
Note that the product of the slopes of perpendicular lines = -1.
The general equation of the line is: y = mx + c, where m is the slope.
Since the slope of this line is 1/3, the slope of its perpendicular line should be -3.
Therefore, we arrive at the slope - one point form to determine the equation of the line.
That is: (y - y₁) = m(x - x₁)
where, (x₁, y₁) is the point passing through the given line.
Here, from the graph the point (0, 4) passes through it.
So, y - (-4) = -3(x - 0)
⇒ y + 4 = -3x
⇒ y = -3x - 4 which is the required equation of the line.