Josiah ran 4/5 mile. how many tenths are equal to 4/5 mile? use bar diagrams to find the answer.

Step-by-step explanation:

We have been given that Josiah ran 4/5 mile. We are asked to find how many tenths are equal to 4/5 mile.

To solve our problem, we need to convert denominator of our given fraction to 10.

We can do it by multiplying numerator and denominator by 2 as:

Therefore, 4/5 mile is equal to 8 tenths of mile.

f(x) is going down by 4

step-by-step explanation:

(its either that or its going left by 4)

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