Answer:
10
Step-by-step explanation:
The number of tiles in the design is 1 + 2 + 3 + ...
We can model this as an arithmetic series, where the first term is 1 and the common difference is 1. The sum of the first n terms of an arithmetic series is:
S = n/2 (2a₁ + d (n − 1))
Given that a₁ = 1 and d = 1:
S = n/2 (2(1) + n − 1)
S = n/2 (n + 1)
Since S ≤ 60:
n/2 (n + 1) ≤ 60
n (n + 1) ≤ 120
n must be an integer, so from trial and error:
n ≤ 10
Mr. Tong should use 10 tiles in the final row to use the most tiles possible.
Answer:
78 tickets left to be sold
Step-by-step explanation:
87-9=78
A) 1/2 bc half of the spinner is white
B) 1/2, 0.5
C) is the last one, the bottom one to be right
Answer:
3x² + 6x - 24 = 0
(3x - 6)(x + 4) = 0
x = -4 , x = 2 when y = 0
Step-by-step explanation:
3x² + 6x - 24 = 0
(3x - 6)(x + 4) = 0
Means
3x - 6 = 0 ⇒ 3x = 6 ⇒ x = 6 ÷ 3 = 2
x + 4 = 0 ⇒ x = -4
The Parabola which represents the quadratic equation intersects x-axis at
points (2 , 0) and (-4 , 0)
Answer:
Step-by-step explanation:
b(a + 1) + a = b*a + b + a = ab + b + a
1) b(2a +1 ) = b*2a + b*1 = 2ab + b Not equivalent.
2)a + (a +1)*b = a + ab+ b Equivalent
3) (a +1)(b+ a) = a*(b +a) + 1*(b+a) = ab+ a² +b + a Not equivalent.
4) (a + 1)b + a = ab+ b + a Equivalent
5) a + b(a+1) = a +ab + b Equivalent
6) a + (a +1) + b = a + a + 1 + b = 2a + 1 +b Not equivalent.
7) a(b +1) + b = ab + a + b Equivalent
