Answer:
170 pages
Step-by-step explanation:
Roberto must read a book that contains 340 pages in 4 days for which he plans the following distribution
The number of pages he read for the first day :
The first day 1/5 of the pages of the book
This is calculated as:
1/5 × 340 pages
= 68 pages
For the second day:
The second 1/4 of what remains to be read
The number of pages remaining after the first day is calculated as:
340 - 68 = 272 pages
Hence, the number of pages read on the second day is
1/4 × 272 pages
= 68 pages
For the third day
One the third day, 1/6 of the rest was read.
The number of pages remaining after the first day is calculated as:
272 - 68 = 204 pages
Hence, the number of pages read on the third day is
1/6 × 204 pages
= 34 pages
Therefore, the number of pages Roberto has to read on the fourth day is calculated as:
340 pages - (68 + 68 + 34)pages
340 pages - 170 pages
= 170 pages
Yes, the game was fair and no one had a better advantage.
y = mx + b
m = slope and b = y-intercept
We can arrange 6y = x - 12 in the form of y = mx + b
6y = x - 12
y = 1/6(x) - 2
Slope of y = 1/6(x) - 2 is 1/6. Taking the negative reciprocal of the slope we get the slope for the perpendicular line.
Negative reciprocal of 1/6 is -6.
The equation for the perpendicular line is
y = -6x + b
To find b we can plug in the x and y values of (4,-4) into it since it passes through those coordinates
-4 = -6(4) + b
b = -4 + 6(4)
b = -4 + 24
b = 20
So the equation for the perpendicular line is y = -6x + 20
(3 yard/sec) x (3,600 sec/hr) x (1 mile / 1,760 yard) =
(3 x 3,600 / 1,760) (mile/hour) = 6.136... mph (rounded)
