Answer:
a)
b)
Step-by-step explanation:
From the question we are told that:
Number Teachers 
Number Student 
Number in committee 
a) Generally the equation for exactly 3 students on the committee is mathematically given by



b) Generally the equation for at least one teacher and at least one student on the committee is mathematically given by
Total Ways-(no of ways of selection no teacher or student)
Where total Ways


Therefore



Answer:
The points (x,y,z) that respond to Ir-r0I =1, are all that describes the form
with:
-1+x₀<x<1+x₀
-1+y₀<y<1+y₀
-1+z₀<z<1+z₀
Step-by-step explanation:
All points required in this problem came from applying the definition of modulus of a vector:
Ir-r0I =1.

Answer: 4.99 (answer would be 5 if rounded)
Step-by-step explanation:
93.34/18.69=x
x=4.99
Answer:
1 cup = 48 teaspoons
C = 48t
Step-by-step explanation:
Given:
1 tablespoon = 3 teaspoons
1 cup = 16 tablespoon
Write an equation that represents the number of teaspoons, t, contained in a cup, C.
Since
1 tablespoon = 3 teaspoons
And
1 cup = 16 tablespoon
Then
1 cup = 3 teaspoons × 16
1 cup = 48 teaspoons
Let
cup = C
Teaspoons = t
Therefore,
C = 48t
Answer: 
Step-by-step explanation:
You know that:
- 2/5 of the spice mixture was oregano.
- 1/3 of the spice mixture was basil.
Then, to find the fraction of the total amount of spice mixture that was oregano and basil, you must add both fractions, as following:
- Find the least common multiply of the denominators:

- Divide the LCM by each original denominator and multiply the result by each numerator.
- Make the addition.
Then, the result is:
