To divide fractions you flip the second one and then multiply the new fractions
9 16 9 5 45
--- ÷ ---- = ---- × ------ = ------
2 5 2 16 32
then simplify
45/32= 1 13/32
I hope I've helped!
Answer:
Step-by-step explanation:
a1=50 r=1.05 n=12
Since an equilateral triangle has 3 equal length sides, and in this case the total of these 3 sides is 24cm, the length of one side is 24/3 = 8cm
f(x) + g(x) = 3x³ + 8x - 24
that is 3x³ + 7x - 26 + x + 2 = 3x³ + 8x - 24
A) The first step needs 100 bricks, the second needs 98, the third needs 96, and so on. Therefore the number of bricks for the nth step is: a_n = a_1 + d(n-1), where a_1 = 100 (the first term), d = -2 (difference).
a_n = 100 - 2(n-1) = 102 - 2n, and for the 30th step, a_30 = 102 - 2*30 = 42. So the top step will need 42 bricks.
b) The total staircase will need: 100 + 98 + 96 + ... + 44 + 42, and there are n = 30 terms. Using the formula for the sum of an arithmetic sequence:
S = (a_1 + a_n)*n/2 = (100 + 42)*30/2 = 2130
Therefore, 2130 bricks are required to build the entire staircase.
