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.
78=.26x
divide both side by .26
and it will equal 300
when you calculate it it will be 3 but put 300
Answer:
This question is very big, you should shorten your question a bit so that I can answer it quickly, the rest is just that I did not understand the question a bit
Answer:
Width=10
Length=18
Step-by-step explanation:
The length is 2 feet less then twice the width
Let the width be x.
Then the length is 2x -2 based on the given information. Use this to make an equation since it is known that the area is 180feet squared.
x(2x-2)=180
2x^2 - 2x - 180 = 0
2( x^2 - x - 90) = 0
We now have a factorable quadratic.
2(x+9)(x-10)=0
So by zero product property, x=-9, x=10 Since a measure cannot be negative, -9 is an extraneous solution.
So x=10
Then the width is 10 and the length is 18
Hope this helps! Let me know if it is correct!