53361 + 9.5b = 25.25b
53361 = 25.25b - 9.5b
53361 = 15.75b
53361/15.75 = b
3388 = b <=== the publisher would have to sell 3388 books
Revenue - expenses = profit
25h - (750 + 110 + 75) > = 625
25h - 935 > = 625 <== ur inequality (simplified)
25h > = 625 + 935
25h > = 1560
h > = 1560/25
h > = 62.4 hrs <==
We have to find x.
5x + 9 = 7x + 3
6 = 2x
3 = x
Plug 3 for x to find the angle.
7x + 3 -> 7(3) + 3 -> 21 + 3 = 24
One angle is 24, and the other is 90, so to find <C you do this:
<C + 24 + 90 = 180
<C = 66
You can use mental math, when trying to break down big numbers, adding or subtracting numbers, or multiplying and dividing numbers
Hope this helped!!!
Answer:
The maximum height that the rocket will reach is 271 feet.
Step-by-step explanation:
We first calculate the time, t it takes the rocket to reach maximum height from v = u - gt. Since u = initial velocity = 128 ft/s, v = velocity at maximum height = 0 ft/s and g = acceleration due to gravity = 32 ft/s².
So, v = u - gt.
t = (u - v)/g
= (128 ft/s - 0 ft/s)/32 ft/s²
= 128 ft/s ÷ 32 ft/s²
= 4 s.
We calculate the maximum height from
y - y₀ = ut - 1/2gt² where y₀ = 15 ft and all other variables are as above.
Substituting these values into the equation, we have
y - y₀ = (u - 1/2gt)t
y - 15 ft = (128 ft/s - 1/2 × 32 ft/s² × 4 s) × 4 s
y - 15 ft = (128 ft/s - 64 ft/s)4 s
y - 15 ft = 64 ft/s × 4 s
y - 15 ft = 256 ft
y = 256 ft + 15 ft
y = 271 ft
So, the maximum height that the rocket will reach is 271 feet.