Set up a proportion that looks like 5/12 = 13/x with X being the actual distance between the cities if they are 13 inches apart on the map.
Then cross-multiply to get 5x = 156. Divide by 5 to isolate the X and get X = 31.2
The cities are a distance of 31.2 miles apart.
I'm guessing your question cut off where you put to the nearest... and you mean to round to the nearest whole number in which case your answer would be just 31 miles apart.
Answer:
first qustion the last one .
second qustion the first one .
Its 43 pushups cause the number of pushups are going up by 3
(a) Compare your quadratic for h to the general quadratic ax² +bx +c. Perhaps you can see that ...
a = -16
b = 128
You use these numbers in the given formula to find the time when the ball is highest.
t = -b/(2a) = -128/(2(-16)) = 4 . . . . . . the time at which the ball is highest
(b) Evaluate the quadratic to find the height at t=4.
h = -16(4)² +128(4) +21
h = -256 +512 +21
h = 277
The maximum height of the ball is 277 ft.
First convert 7.5% into a decimal (.075)
1,150 * .075 = 86.25
1,150 + 86.25 = 1,236.25