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.
If you would like to know if (3, 6) is a solution to the inequality x + y <= 9, you can calculate this using the following steps:
(3, 6) ... x = 3, y = 6
x + y <= 9
3 + 6 <= 9
9 <= 9
Result: (3, 6) is a solution to the inequality x + y <= 9.
Answer:
946
Step-by-step explanation:
Let's make an equation :
34% of x = 321.8
Covert 34% into decimal by dividing by 100 :
34 ÷ 100 = 0.34
Rewrite equation with decimal form :
0.34x = 321.8
Divide both sides by x to make x the subject :
x = 321.8 ÷0.34
x = 946.470588235
To the nearest whole number will be 946 as 4 rounds it down
So our final answer will be 946
Hope this helped and have a good day
