Answer:
x = 1
Step-by-step explanation:
Set up a proportion
x/0.25 = 6/1.5
1.5x = 1.5
x = 1
Thus, x = 1
Answer: If there are 3000 students at Pikeville College, then there should be 150 teachers.
3000/20=150
So there are 150 teachers if there are 3000 students.
Answer:
You will need 220 mL of the 60% solution and 80 mL of pure alcohol.
Step-by-step explanation:
Let 'x' be the amount of 50% alcohol solution and y the amount of pure alcohol.
Therefore:
(0.5x + y)/300 = 0.65 ⇒ 0.5x + y = 190
x + y = 300
Solving the sistem of equations:
x = 220 and y = 080
Therefore, You will need
220 mL of the 60% solution
and 80 mL of pure alcohol.
Answer:
both rates of change equal the slope of the line (3/4)
Step-by-step explanation:
Part a)
We calculate the rate of change using the formula:

for the first interval [0,6], we calculate the y-values at x=0 and x=6;
at x=0 : 
at x=6 : 
therefore, the rate of change in this interval is: 
For the second interval [-4,4], we calculate the y-values at x=-4 and x=4;
at x=-4 : 
at x=4 : 
therefore, the rate of change in this interval is: 
Part b):
Notice that both rates of change equal the value of the slope of the linear function (3/2)
Answer:
as the point (8,0) lies on the x-axis (east) and the bearings are defined with respect to south or north according to the rotation as well. so here the angle is 90 and the directions are N90E or S90W