Answer: The total number of different types of labels will the manufacturers have to produce = 24.
Step-by-step explanation:
Given: Choices for flavours = 4
Choices for sugar = 2 {either sugar or sugar free}
Choices for the qunatity = 3
By Fundamental counting principle,
Total number of different types of labels will have to produce = (Choices for flavors) x (Choices for sugar)x (Choices for the quantity )
= 4 x 2x 3
=24
Hence, the total number of different types of labels will the manufacturers have to produce = 24.
Answer:47.25
Step-by-step explanation: it is 10.5 x the 4.5
Answer:
a = 14.19 feet
Step-by-step explanation:
Given that,
The area of a square shaped yard is 201.5 ft²
We need to find the side length of this yard in feet.
The area of a square shaped object is given by :
A = a², a is the side length of the object
Put A = 201.5 ft² in above formula,

So, the side of the square yard is 14.19 feet.
Answer:
3x^2 + 3xy/2 - 7xy^2/2
Step-by-step explanation:
So we know the perimeter is 20x^2 + xy - 7y^2,
To find any perimeter you need 2l + 2w = P so,
One of the sides is 7x^2 - xy
First plug in the values,
2(7x^2-xy) + 2w = 20x^2 + xy - 7y^2
Multiply,
14x^2-2xy + 2w = 20x^2 + xy - 7y^2
Subtract,
14x^2 - 2xy - 14x^2 + 2xy + 2w = 20x^2 + xy - 7y^2 - 14x^2 + 2xy
2w = 6x^2 + 3xy - 7y^2
w = 3x^2 + 3xy/2 - 7xy^2/2
Answer:
f/g at t =3 will be 9/8
d/ddx(f(x)/g(x))=f'(x)d(x)-f(x)g'(x)/(g'(x))^2
rate of change=(6*8)+(9*9)/9^2
rate of change =43/27=1.5925