I agree with the answer being B because since it's a common ratio you could just multiply -1/4 with -2 and keep doing that with each new term
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.
Equation 1 ==> y - x = -13
Equation 2 ==> -4x + 3y = -51
3(y - x) = 3(-13)
Equation 3 ==> 3y - 3x = -39
Equation 2 - 3
= (3y - 3y) + ( -4x - (-3x) ) = -51 - (-39)
-x = -12
x = 12
Substitude x into equation 1
y - 12 = -13
y = -1
Answer: 270 in cubic meters
270^3
Step-by-step explanation:
V=LxWxH
= 2cm x 9cm x 15cm
=270cm^3
Answer:
All the left numbers of the Ratio go by 8's times tables and all the right numbers go by 5's times tables
Step-by-step explanation:
8x1= 8
8x2 =16
8x3 = 24
5x1= 5
5x2= 10
5x3= 15
Let me know if its right.
