So, the ration is 17:3, you know that. Therefore, the change from # of students to the 17 is the same change as # teachers to 3. Knowing this, you also know that the total # of people ihas the same change as the total ratio. So 17+3 = 20. 740/20 = 37. So the change is 37. 3x37= 111 17x37=629
You can check to make sure this answer is correct by adding the two final numbers. 111+629 = 740. (Some find it easier to see lined up really pretty)
17 -- 3 total 20
x -- y total 740
Or, if you are visual, look at the picture I drew:
Answer:
Step-by-step explanation:
Use the point-slope formula by the line
y - y_1 = m(x - x_1) when x_1 =8 and y_1 = -2 m : is the slope (same slope for the line whose equation is 3x + 4y = 15 because are parallel)
calculate : m
3x + 4y = 15
4y = -3x +15
y = (-3/4)x +15/4 so m = -3/4
an equation is : y +2 =(-3/4)(x-8)
If you look closely you'll see that x can take on any real value here. On the other hand, y can equal -4 (maximum) or any real number smaller than -4.
Translate this information into interval notation.
To do this you need to put it in function form.
Here's the work
2y-3x = 8
2y-3x = 8
+3x +3x
2y = 3x+8
/2. /2
y = 3/2x + 8
To find perpendicular you multiply the slope the the opposite reciprocal.
y = -2/3x + 8
Then the +8 doesn't really matter now
Slope that is perpendicular is -2/3x
The reciprocal of 72/3 is easy as putting 3/72 thats all
