Answer:
There were 26 students in his class and the teacher had 83 ml of the solution.
Step-by-step explanation:
Mr. Kohl has a "x" amount of solution, if he divides it by the number of students "n" he'll give each student 3 milliliters and have a left over of 5 milliliters. If the amount of solution Mr. Kohl had was "x + 21" then he'd be able to give each student 4 milliliters of the solution. From these informations we have:
x = 3*n + 5
(x + 21)/n = 4
x + 21 = 4*n
x = 4*n - 21
Now that we have two equations and two variables we can solve the system of equations, as seen bellow:
3*n + 5 = 4*n - 21
3*n - 4*n = -21 - 5
-n = -26
n = 26
x = 4*26 - 21 = 83 ml
There were 26 students in his class and the teacher had 83 ml of the solution.
Answer:
4 1/6 inches
Step-by-step explanation:
A triangle has sides of LaTeX: 1\frac{1}{6}1 1 6 inches, LaTeX: 1\frac{1}{3}1 1 3 inches, and LaTeX: 1\frac{2}{3}1 2 3 inches. What is the perimeter of the triangle? Make sure your answer is in simplest form.
Perimeter of Triangle = Side a + Side b + Side c
Perimeter of the Triangle =
( 1 1/6 + 1 1/3 + 1 2/3) inches
Lowest common denominator = 6
= 1 + 1 + 1 +(1/6 + 1/3 + 2/3)
= 3 + (1 + 2 + 4/6)
= 3 + 7/6
= 3 + 1 1/6
= 4 1/6 inches
The gradient formula is:
m = y2 - y1/ x2 - x1
> m = 5 - 1 /-2 -3
>> m = 4/-5x
It is 9 because you need to triple 3 so 3x3 is 9
