"one" will fill both blanks.
60 miles per hour x 4 hours = 240 miles
Mr smith was 240 miles ahead of Mrs/ smith
The difference in speeds was 80 - 60 = 20 miles per hour
240 miles / 20 miles per hour = 12 hours.
It takes 12 hours to catch up.
Answer:
16 goes in the blank
Step-by-step explanation:
V(c) = 2*π*r*h
Differentiating boh sides
DV(c)/Dt = 2πr Dh/Dt now radius is 8 m
DV(c)/Dt = 8π Dh/Dt
That expression gives the relation of changes in V and h
DV(c)/Dt is the speed of growing of the volume
Dh/Dt is the speed of increase in height
so if the cylinder is filling at a rate of 2 m³/min the height will increase at a rate of 16π m/min
Answer:
2x + y = -5 (which is Answer 1).
Step-by-step explanation:
The possible answer choices are all versions of the standard equation of a straight line: Ax + By + C = 0. If A and B are both positive, as they are here, then the slope is negative and has the form m = -A/B. Only the first answer choice passes here: with +2x and +1y, the slope is -2. This automatically eliminates the other possibilities.
Looking at the first answer choice, we see that A must be 2 and B must be 1
so that the slope is m = -2. Writing out this equation: Ax + By + C = 0.
Replace A with 2 and B with 1: 2x + y + C = 0.
Finally, replace x with -1 and y with -3: 2(-1) + (-3) + C = 0.
Solving this for C, we get -2 - 3 + C = 0, or -5 + C = 0, or C = 5.
We end up with 2x + y = -5 (which is Answer 1).
