The answer is 20, I hope this helped :)
Answer:
The answer is below
Step-by-step explanation:
River racing us a company that provides inner tubes for a children and adults to float the river. The child tube has a diameter of 2 feet and the adult tube has a diameter of 3 feet. River racing owns a total of 160 tubes and the total diameter of all the tubes is 430 feet. Write a system to determine the number of child tubes , c , and number of adult tubes, a , that river racing owns.
Solution:
Let c represent the number of child tubes and let a represent the number of adult tubes owned by river racing.
Given that there are a total of 160 tubes, hence:
a + c = 160 (1)
The total diameter of all tubes is 430 feet, hence:
3a + 2c = 430 (2)
To find a and c, we have to solve equation 1 and 2 simultaneously. multiply equation 1 by 2 and subtract from 2:
a = 110
Put a = 110 in eqn 1:
110 + c = 160
c = 50
since the equation of the line passing through the given point is perpendicular to the given line(m2= -1/m1)
using the formula y=mx+c
y=2/3x +1
m1=2/3
m2= -1/2/3
m2= -3/2
the slope of the second line is -3/2 and it passes through the point(3,-2)
using the formula y-y1 = m(x-x1)
y-(-2)= -3/2(x-3)
y+2= -3/2(x-3)
multiply both sides by 2
2(y+2) = -3(x-3)
2y+4 = -3x+9
2y = -3x+5
y= -3/2x + 5/2
Length: 12
Width: 4 since 12x4=48 and length is 3 times as long as it is wide.