Which phrase represents the algebraic expression 1/4 d+7

The given equation is confusing since it written straight without any symbols or parenthesis. I can write the equation in two forms:

(1 / 4) d + 7                         ---> 1

and

(1 / 4 d) + 7                         ---> 2

For equation 1, the variable d is first multiplied by 1 / 4 before adding up with the number 7. So in this case, the correct phrase would be something like:

“The sum of one fourth a number and seven”

For equation 2, this is more complicated since the variable is on the denominator side. The number 1 is divided by the product of 4 and variable d then summed up with the number 7. The correct phrase for this one would be something like:

“The sum of the quotient of one over four times a number and seven”

Select which equation is the correct one.

step-by-step explanation:

it will be a cylinder. with a diameter of 8 and 4 single pieces high

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