Answer: There are 155 boys .
Step-by-step explanation:
Given : There are five boys to every seven girls in an introductory biology course.
Let the number of boys be 5x and the number of girls be 7x. (i)
Since there are total 372 students enrolled in the course , it means
Divide both sides by 12 , we get
Then, the number of boys = 5x = 5(31)=155 [From (i)]
Hence, there are 155 boys .
Answer:
21.42ft
Step-by-step explanation:
a²+b²=c² where "c" is the hypotenuse of a right triangle and "a" and "b" are the two other sides
now let's plug in the values
21²+b²=30²
b²= 30² - 21²
b²= 459
b= 21.42
Answer:
Velocity in still air is = 960 miles per hour
Velocity of wind = 230 miles per hour.
Step-by-step explanation:
The velocity when flying against the wind = 2920 / 4 = 730 miles per hour.
The velocity when flying with the wind = 7140 / 6 = 1190
Let the rate of jet in still Air = x
Let the rate of jet in wind = y
Therefore, velocity against wind = x-y and wind = x + y
x - y = 730
x + y = 1190
Add both equation, 2x = 1920
x = 960
Now find the value of “y” = 1190 – 960 = 230
Thus, velocity in still air is = 960 miles per hour
Velocity of wind = 230 miles per hour.
Answer:
x = 3.5
perimeter of each figure = 54
Step-by-step explanation:
Perimeter of square: 4(3x + 3) 12x + 12
Perimeter of equilateral triangle: 3(5x + 0.5) = 15x + 1.5
Solve for x: 12x + 12 = 15x + 1.5
Grouping like terms results in 10.5 = 3x, which leads to x = 3.5.
Each polygon has a perimeter of 12x + 12, which here is 12(3.5) + 12 = 54
x = 3.5
perimeter of each figure = 54