Answer:
"statement 1: The number of boys at the school is
of the number of girls." is true.
Step-by-step explanation:
Given:
Ratio of Number of boys to the number of girls = 4 : 5
Total number of students = 270
To find:
Number of boys in terms of number of girls = ?
Solution:
As per given statement,
Let, Number of boys = 
Let, Number of girls = 
Total number of students = Number of boys + Number of girls = 270

Therefore, number of boys = 4
30 = 120
And, number of girls = 5
30 = 150
As per Statement 1:
Finding
of the number of girls:
= Number of boys.
Finding
of the total number of students:
= Number of boys.
Number of boys is equal to
of total number of students.
So, "statement 1: The number of boys at the school is
of the number of girls." is true.
I hope this helps you! it's relatively straightforward but if you need more explanations, don't hesitate to ask!
Answer:
The answer is 0
Step-by-step explanation:
3n(3m-2n) + 6m^2= (6m-3n)(2n+m)
By expansion
9mn - 6n^2 + 6m^2 = 12mn + 6m^2 -6n^2 - 3mn
By collecting like terms
9mn - 12mn + 3mn - 6n^2 + 6n^2 + 6m^2 - 6 m^2 = 0
-3mn + 3mn=0
Therefore the simplification of the expansion gives us 0
Answer:
24 brushes
Step-by-step explanation:
Given data
cost per brush= $19.90
Amount made =$477.60
hence the number of brushes sold is given as
Number of brushes= 477.60/19.90
Number of brushes= 477.60/19.90
Number of brushes= 24 brushes