Can someone please explain how to solve this?
1/2x + 3/2 (x+1) - 1/4 = 5
Thank you!!

x = 1.875

Step-by-step explanation:

Step 1:  Distribute

1/2x + 3/2(x + 1) - 1/4 = 5

1/2x + 3/2x + 3/2 - 1/4 = 5

Step 2:  Combine like terms

4/2x + 6/4 - 1/4 = 5

2x + 5/4 = 5

Step 3:  Subtract 5/4 from both sides

2x + 5/4 - 5/4 = 5 - 5/4

2x = 3.75

Step 4:  Divide both sides by 2

2x / 2 = 3.75 / 2

x = 1.875

 x = 1.875

$4034.40

the perimeter of the field is the sum of the lengths of the four sides:

47 yd + 158 yd + 47 yd + 158 yd = 410 yd

the cost of 3 ft (1 yd) of fence is 3×$3.28 = $9.84.

so the cost of jake's wood perimeter fance is

(410 yd) × ($9.84 /yd) = $4034.40

hello from mrbilldoesmath!

answer:   x (x+6)^2, choice b

discussion:

factor x out of the equation:

x^3 + 12x^2 + 36x = x (x^2 + 12x + 36).

note that 6+6 = 12 and 6*6 = 36 so the above factors into:

x (x+6)^2

which is choice b

you,

mrb