Answer:
The answer is below
Step-by-step explanation:
Speed is the time rate of change of velocity, it is the ratio of distance to time.
Mr. Fowles runs at a steady 4.2 miles per hour. The time taken to cover 26 miles is:
speed = distance / time
time = distance / speed = 26 / 4.2 = 6.19 hour
I run at 3 miles per hour. I was given 3 mile lead, so the remaining distance is 23 miles (26 - 3). The time needed to complete the 23 miles is:
time = distance / speed = 23 / 3 = 7.67 hour
a) Let d be the distance Mr Fowles catches me. Hence:
time = (d + 3)/4.2; also time = d/3
(d + 3)/4.2 = d/3
3d + 9 = 4.2d
1.2d = 9
d = 7.5 miles
He would catch me at 10.5 (7.5 + 3) miles from the starting point.
b) Mr. fowles finishes after 6.19 hour. At that time, the distance is have covered is:
distance = 6.19 * 3 mi/hr = 18.57 mile
Distance behind = 23 mile - 18.57 = 4.43 mile
c) time longer = 7.67 hour - 6.19 hour = 1.48 hour
Answer:
(x + 5, y + 1)
Step-by-step explanation:
As we can see, what we have is a translation
let us pick a point
G( -5,-2)
To;
G’(0,-1)
so the shift on the x-axis is;
(0-(-5)) = 5
shift on the y-axis is;
(-1-(-2) = 1
we have a rightward shift of 5 units on the x-axis and 1 unit on the y-axis
So we have the rule as;
(x + 5, y + 1)
Answer:
He made $108 in 9 hours
Step-by-step explanation:
I first multiplied 12 by 9 and got 108
This should help-
Triangle Total angle measures = 180
Right angle= 90
Line = 180
Answer:
1/2
Step-by-step explanation:
2 1/4 - 1 3/4 Because the denominator are already the same, all you have to do is make it a mixed number and subtract. To do that you multiply the whole number to the denominator and add that new number to the numerator. So you would then have.
9/4 - 7/4
Keep the denumerator the same and subtract the numerators.
2/4
Then simplify
1/2