Marcel leaves 30 minutes after Carolyn, leaving between them a gap of 40mph*0.5h=20miles
To catch up with the 20miles, Marcel uses the extra (65-40=25)mph that he has.
Therefore 20m/25mph=0.8h=0.8*60min=48minutes after 2:45, which is at 3:33, Marcel catches up to Carolyn.
Let the speed of the current be y and the speed of Micah's sailing speed be x. Then 4.48/(x + y) = 0.32
4.48/(x - y) = 0.56
0.32x + 0.32y = 4.48 . . . (1)
0.56x - 0.56y = 4.48 . . . (2)
(1) x 7 => 2.24x + 2.24y = 31.36 . . . (3)
(2) x 4 => 2.24x - 2.24y = 17.92 . . . (4)
(3) - (4) => 4.48y = 13.44
y = 3
From (1), 0.32x + 0.32(3) = 4.48
0.32x = 4.48 - 0.96 = 3.52
x = 3.52/0.32 = 11
Therefore, the speed of the current is 3 miles per hour. Answer is 3 miles per hour
Answer:
C. 6.8, because |6.8|= 6.8
Step-by-step explanation:
The magnitude of a directed number is a property that turns the number to a positive of its value. Thus, the magnitude of a negative number equals its positive value. Examples:
Find the magnitude of the following numbers:
i. -20
ii. 10
iii. -5
iv. 2
The magnitudes of the numbers can be expressed as:
i. |-20| = 20
ii. |10| = 10
iii. |-5| = 5
iv. |2| = 2
Therefore, the magnitude of 6.8 = 6.8, because |6.8|= 6.8.
Answer:
12
Step-by-step explanation:
divide 132,000 by 11,000
A line that passes through (5, 1) can have ANY slope and ANY y-intercept. There are an infinite number of different lines that pass through that point.
