Simplify: 5 2/5x-1/3(x+3/4y)-y+3/8y

(608 x - 105 y)/120

Step-by-step explanation:

Simplify the following:

(3 y)/8 - y - 1/3 (x + (3 y)/4) + (5 + 2/5) x

Put each term in (3 y)/4 + x over the common denominator 4: (3 y)/4 + x = (3 y)/4 + (4 x)/4:

(5 + 2/5) x - (((3 y)/4 + (4 x)/4))/3 - y + (3 y)/8

(3 y)/4 + (4 x)/4 = (3 y + 4 x)/4:

(5 + 2/5) x - ((1/4 (3 y + 4 x)))/3 - y + (3 y)/8

4×3 = 12:

(5 + 2/5) x - (3 y + 4 x)/12 - y + (3 y)/8

Put 5 + 2/5 over the common denominator 5. 5 + 2/5 = (5×5)/5 + 2/5:

((5×5)/5 + 2/5) x - (3 y + 4 x)/12 - y + (3 y)/8

5×5 = 25:

(25/5 + 2/5) x - (3 y + 4 x)/12 - y + (3 y)/8

25/5 + 2/5 = (25 + 2)/5:

((25 + 2)/5) x - (3 y + 4 x)/12 - y + (3 y)/8

25 + 2 = 27:

(27 x)/5 - (3 y + 4 x)/12 - y + (3 y)/8

Put each term in (27 x)/5 - (3 y + 4 x)/12 - y + (3 y)/8 over the common denominator 120: (27 x)/5 - (3 y + 4 x)/12 - y + (3 y)/8 = (648 x)/120 + (10 (-3 y - 4 x))/120 - (120 y)/120 + (45 y)/120:

(648 x)/120 + (10 (-3 y - 4 x))/120 - (120 y)/120 + (45 y)/120

(648 x)/120 + (10 (-3 y - 4 x))/120 - (120 y)/120 + (45 y)/120 = (648 x + 10 (-3 y - 4 x) - 120 y + 45 y)/120:

(648 x + 10 (-3 y - 4 x) - 120 y + 45 y)/120

45 y - 120 y = -75 y:

(648 x + 10 (-3 y - 4 x) + -75 y)/120

10 (-3 y - 4 x) = -30 y - 40 x:

(648 x + (-30 y - 40 x) - 75 y)/120

Grouping like terms, -30 y - 75 y + 648 x - 40 x = (648 x - 40 x) + (-30 y - 75 y):

((648 x - 40 x) + (-30 y - 75 y))/120

-30 y - 75 y = -105 y:

(-105 y + (648 x - 40 x))/120

648 x - 40 x = 608 x:

(608 x - 105 y)/120

step-by-step explanation:

b and c

the smallest possible measurement of the width is 14 feet

step-by-step explanation:

let's assume length of parallelogram is 'l'

width of parallelogram is 'w'

the perimeter of a parallelogram must be no less than 40 feet

so, we get

we are given

length of parallelogram is 6 feet

so,

l=6

we can plug it

now, we can solve for w

subtract both sides by 12

divide both sides by 2

and we get

so,

the smallest possible measurement of the width is 14 feet