Answer:
$80
Step-by-step explanation:
400÷50= 80 which is the weekly rate of wages
9514 1404 393
Answer:
12 minutes
Step-by-step explanation:
Let c and h represent the filling times for the cold and hot taps, respectively. When the cold tap is 1/2 open, we presume that means the filling time becomes 2c.
In terms of baths per minute, the relationships are ...
1/c + 1/h = 1/3
1/(2c) +1/h = 1/(3 +1.8) . . . . . 1:48 min:sec is 1.8 minutes
Subtracting the first equation from twice the second, we get ...
2(1/(2c) +1/h) -(1/c +1/h) = 2(1/4.8) -(1/3)
1/h = 2/4.8 -1/3 = 1/12
h = 12
It takes the hot tap 12 minutes to fill the tub alone.
Since the first line passes thru the origin, you can read off its slope from the coordinates of the other point (3,2): the slope is m = 2/3.
A line perpendicular to the first has slope -3/2, the negative reciprocal of 2/3.
Thus, the perpendicular line is y = (-3/2)x + b. Subbing 0 for y and 0 for x, we get b = 0. Therefore, the equation of this new line is y = (-3/2)x.
