Select the correct answer. Annette wants to find out which of two toothpaste brands people living in the town of Springville prefer, brand A or brand B. She uses a random sample to make this generalization: 60% of the population of Springville prefers brand A over brand B. For which random sample would this generalization be valid?
A.
every third person who walks into one of the neighborhood convenience stores, which stocks several toothpaste brands
B.
every fourth student who attends Annette’s school in Springville
C.
every other customer at all the convenience stores in Springville that stock both brand A and brand B
D.
every mother who shops at a convenience store in Springville

the direct variation says that:

then the equation is of the form is given by:

            where k is the constant variation.

from the given table:

consider any value of x and m(x)=y

x = 2 and m(x)=y = 3

substitute these value in [1]; we have;

divide both sides by 2 we get;

⇒

check:

put x = -1 and m(x) = -1.5

substitute in the equation:

-1.5 = -1.5                   true

therefore, the function m(x) represents a direct variation

graph of this function as shown below:

8

step-by-step explanation:

to find the amount of gift bags to use all the supplies, find the gcf or greatest common factor. this is the largest number which multiplies evenly into each term.

48 has factors: 1, 2, 3, 4, 6, 8, 12. 16, 24, 48

80 has factors: 1, 2, 4, 5, 8, 10, 16, 20, 40, 80

64 has factors: 1, 2, 4, 8, 8, 16, 32, 64

the highest number factor they all share in common is 8. this means there will be 8 bags with 6 pencils, 10 markers, and 8 stickers in each bag.

yes the total will be same because in both of them the expression.is rearranged but their sign remains the same hence it hss just been shuffled