Answer:
2.25 or 2 1/4 hours each day
Step-by-step explanation:
To answer:
6 3/4 = 6.75
6.75 ÷ 3 = 2.25
So, Linda studied for 2.25 hours each day, or 2 1/4 hours each day
Hope this helps :)
Answer: 5040
Step-by-step explanation:
Given : Number of choices to make a four digit code ( 0 to 9)= 10
If repetition is not allowed , then we use Permutations to find the number of different code groups can be designed.
The number of permutations of n things , taking r at a time is given by :-

Then, the number of permutations of 10 numbers , taking 4 at a time is given by :-

Hence, the number of different code groups can be designed= 5040
Answer:
Step-by-step explanation:
Since x=2 is a vertical line, there is no y-intercept
Line 1:
slope 2, point(1,8)
hence we have its equation:
y - y1 = m(x - x1)
y - 8 = 2(x - 1)
y = 2x + 6
line 2:
point1(1, 2), point2(2, 1)
hence its slope is:
m = (1 - 2)/(2 - 1) = -1
y - 2 = -1(x - 1)
y = -x + 3
if lines intersect, we can equal both equations and find the point:
y = y
2x + 6 = <span>-x + 3
</span>3x = -3
x = -1
and substitute to find y:
<span>y = -x + 3 = 1 + 3 = 4
</span>therefore the intersection point is (-1, 4), and -1 + 4 = 3