Answer:
There were 30 questions on the test.
Step-by-step explanation:
1. Set up your equation: 27/90 = y/100
2. Next you want to cross multiply: 2700 = 90y or 270 = 9y
3. Divide 270 by 9 to find your y: y = 30
There were 30 questions on the test.
Answer:
The slope is 2/3 and the function is y=2/3x which is a direct variation function.
Step-by-step explanation:
To find the slope of a line between two points, we use the equation
m = (y2-y1)/ (x2-x1)
where (x1,y1) and (x2,y2) are the two points
m= (4-2)/(6-3)
= 2/3
The slope of the line is 2/3
The equation of the line is
y-y1 = m(x-x1)
y-2 = 2/3(x-3)
Distribute
y-2 = 2/3x -2
Add 2 to each side
y-2+2 = 2/3x -2+2
y = 2/3x
This is a direct variation function
Let x = -6
y = 2/3(-6)
y = -4
(-6,-4)
Answer:
This is a geometric sequence.
1/7x-6=3/7x+4
+6 +6
1/7x=3/7x+10
-3/7x -3/7x
-2/7x=10
x= -35
