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.
Distributive, if you do 4 times x and 4 times 2 you get 4x+8
Answer:
Step-by-step explanation:
Given
Required
Solve (a) to (d)
Using tan formula, we have:
This gives:
Rewrite as:
Using a unit ratio;
Using Pythagoras theorem, we have:
Take square roots of both sides
So, we have:
Solving (a):
This is calculated as:
Where:
So:
Solving (b):
This is calculated as:
Where:
---- given
So:
Solving (c):
In trigonometry:
Hence:
Solving (d):
This is calculated as:
Where:
So:
Answer:
Quotient = 18
Remainder = 10
Step-by-step explanation:
1234/68
=> 68 x 1 = 68
=> 123 - 68 = 55
=> Take the 4 down
=> 554/68
=> 68 x 8 = 544
=> 554 - 544 = 10
So, the quotient = 18.
Remainder = 10
