Answer:
W = - 6
Step-by-step explanation:
-3(-8w+1) - w = 5(w-1) - 1 -> (Original equation)
24w - 3 - w = 5w - 5 - 1 -> (Expanded version)
23w - 3 = 5w - 6 -> (Simplified version)
18w - 3 = - 6 -> (Subtract 5w from both sides)
18w = - 3 -> (Add 3 to both sides)
w = 18/-3 which is - 6 -> (Doing 18/-3)
Answer:
a(n) = 20*2.5^(n - 1)
Step-by-step explanation:
Note that 50 is 2.5 times 20, and that 125 is 2.5 times 50. Thus the common factor is 2.5. The formula for the nth term is
a(n) = a(1)*r^(n - 1) => a(n) = 20*2.5^(n - 1)
Answer:
see explanation
Step-by-step explanation:
the perimeter is the sum of the 3 sides of the triangle
add the parts of the ratio 21 + 8 + 14 = 43
divide the perimeter by 43 to find the value of one part of the ratio
= 5 ft ← 1 part of the ratio, hence
21 parts = 21 × 5 = 105 ft
8 parts = 8 × 5 = 40 ft
14 parts = 14 × 5 = 70 ft
the 3 sides of the triangle are 105 ft, 40 ft and 70 ft