" · " - times
" + " - sum
n - a number
0.5n - half a number
10 · (0.5n + 6) = 8 |use distributive property
(10)(0.5n) + (10)(6) = 8
5n + 60 = 8 |substract 60 from both sides
5n = -52 |divide both sides by 5
n = -10.4
Answer:
There are 30 books in the shelf.
Step-by-step explanation:
To solve this problem we can use a rule of three in such a way that 12 paperback mysteries are related to 40% of the books in the shelf in the same proportion that "x" total books are related to 100% of the books in the shelf. So we have:
12 -> 40%
x -> 100%
40*x = 12*100
40*x = 1200
x = 1200/40
x = 30 books
There are 30 books in the shelf.
Answer:
where r yr series
Step-by-step explanation:
For example, the sequence 3, 5, 7, 9 ... is arithmetic because the difference between consecutive terms is always two. The sequence 21, 16, 11, 6 ... is arithmetic as well because the difference between consecutive terms is always minus five.
hope it helps
Answer:
30.49 m
Step-by-step explanation:
To obtain the maximum height, we solve for the value x when dy/dx = 0.
Since, y = -5x² + 40x + 20
dy/dx = d[-5x² + 40x + 20]/dx
dy/dx = -10x + 40
Since dy/dx = 0,
-10x + 40 = 0
-10x = -40
x = -40/-10
x = 4
Substituting x = 4 into the equation for y, we have
y = -5x² + 40x + 20
y = -5(4)² + 40(4) + 20
y = -5(16) + 160 + 20
y = -80 + 160 + 20
y = 80 + 20
y = 100 ft
Since y is in feet, we convert to meters.
Since 1 m = 3.28 ft, 100 ft = 100 ft × 1 m/3.28 ft = 30.49 m
So, the maximum height, in meters reached by the projectile is 30.49 m
