2x-1/3+3=x-3/5

pls do make sure to answer this *only if you know*
thank you

Step-by-step explanation:

x = -

Step-by-step explanation:

Given

2x - + 3 = x -

Multiply through by 15 ( the LCM of 3 and 5 ) to clear the fractions

30x - 5 + 45 = 15x - 9 , that is

30x + 40 = 15x - 9 ( subtract 15x from both sides )

15x + 40 = - 9 ( subtract 40 from both sides )

15x = - 49 ( divide both sides by 15 )

x = -

150.6

all i did was i multiplied 5.02 by 30

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