Answer:
Step-by-step explanation:
The side length of a square is represented by the expression 2x + 5.
The area of a square is given as:
where a = length of side of the square
The area of the square is therefore:
The perimeter of a square is given as:
The perimeter of the square is therefore:
The difference between the area of the square and the perimeter of the square is:
The expression that represents the difference between the area and the perimeter of the square is:
Data:
P (Final population) = ?
Po (Initial population) = 81712
r (rate) = 4,1% = 0,041
t (time in years) = 17
Answer:
B) 24759
Answer:
25°
Step-by-step explanation:
hope it helps you solve the question
The path of the car and the limo are straight lines.
To determine the equation of the lines of the paths, the slopes must be determined.
Let m1 = slope of car
m2 = slope of limo
so,
m1 = (7 + 7)/(5 + 2) = 2
m2 = (-5 -9)/(3+4) = -2
therefore the equations are
car:
2x – y = 2(5) –(7)
2x – y = 3
Limo:
2x + y = 2(3) – 5
2x + y = 1
Solving the intersection of the equations (using a calculator)
x = 1
y = -1
Answer: 16 men
32 women
38 children
Step-by-step explanation:
Let x represent the number of men in the group.
Let y represent the number if women in the group.
Let z represent the number of children in the group.
A group of 86 people consist of men women and children. This means that
x + y + z = 86 - - - - - - - - - - - - 1
There are twice as many women than there are men. It means that
x = y/2
There are 6 more children than there are women. This means that
z = y + 6
Substituting x = y/2 and z = y + 6 into equation 1, it becomes
y/2 + y + y + 6 = 86
multiplying through by 2, it becomes
y + 2y + 2y + 12 = 172
5y = 172 - 12 = 160
y = 160/5 = 32
x = y/2 = 32/2
x = 16
z = y + 6 = 32 + 6
z = 38
