Help! Order the tiles from greatest to least magnitude.

Greatest to Least Magnitude:  

Step-by-step explanation:

Each of the values has "absolute value" sign. What does absolute value do?

|a| = a

That means, no matter what number is inside the absolute value sign, whether negative or positive, the answer will always be positive.

Now, last number is mixed fraction, we will convert to decimal for simplicity of comparing.

First Number: |-4| = 4

Second Number: |-6| = 6

Third Number: |8| = 8

Fourth Number: |12.3| = 12.3

Fifth Number: |-20| = 20

Sixth Number:

3/10 = 0.3,

so 2  3/10th = 2.3

Ordering, we have:

Fifth number, fourth, third, second, first, sixth

The correct ordering will be:

7

step-by-step explanation:

the answer would be 7

step-by-step explanation:

part a. the differences are decreasing, so we know the sequence is not arithmetic. the ratios are constant (=3/4), so we know the sequence is geometric.

part b. from part a, we know the common ratio is 3/4, so each term is 3/4 of the one before. the initial term is the number of gallons at h=1.

g[h] = (3/4)·g[h-1]

g[1] = 384 . . . . initial value required for a recursive definition

part c. the general formula for a geometric sequence is

a[n] = a[1]·r^(n-1)

we have a[1] = 384, r = 3/4, and the term number given by h. the formula that follows is

g[h] = 384·(3/4)^(h-1)

part d. filling in the value and doing the arithmetic, we have

g[12] = 384·(3/4)^11 ≈ 384·0.042235136 ≈ 16.2183 . . gallons

part e. each gallon is 4 quarts, so

16.2183 gal × 4 qt/gal = 64.8732 qt