Answer:
A. 15 cups
B. Diagram below
We are given that,
The ratio of dressing to the vegetables is 2 cups : 4 pounds.
A. It is given that the vegetables are of 30 pounds.
Let the number of cups be x.
Since, the ratio of dressings and vegetables will remain same.
We have,
i.e.
i.e. x= 15
Thus, we will need 15 cups of dressings for 30 pounds of vegetables.
B. As we have obtained the fractions,
2 cups : 4 pounds and 15 cups : 30 pounds
Using the butterfly method, we see from the diagram that these fractions are equivalent because the product of the numbers is equal to 60.
Answer:
#1. A. C. D.
#2. D. F.
3^4 equals 81 and so do answer D. & F.
Answer:
5
Step-by-step explanation:
A constant is a number by itself, without any variables.
As you can see, 4 and 3 are coefficients of and respectively.
Thus, 5 is the constant term.
Answer:
2/3
Step-by-step explanation:
Simplify the following:
(8/27)^(1/3)
Hint: | For all n>=0, (m/n)^(1/3) = (m^(1/3))/(n^(1/3)).
(8/27)^(1/3) = (8^(1/3))/(27^(1/3)):
(8^(1/3))/(27^(1/3))
Hint: | Simplify radicals.
27^(1/3) = (3^3)^(1/3) = 3:
(8^(1/3))/3
Hint: | Simplify radicals.
8^(1/3) = (2^3)^(1/3) = 2:
Answer: 2/3