Which expression is equivalent to 1/3 (5x + 3y) + 2/5y + 7 ? a. 5/3x + 2/5y + 7 b. 5/3x + 7/5y + 7 c. 15x + 9 2/5y + 7 d. 15x + 2/5y + 7

Step-by-step explanation:

Hello

Which expression is equivalent to 1/3 (5x + 3y) + 2/5y + 7 ?

a. 5/3x + 2/5y + 7

b. 5/3x + 7/5y + 7

c. 15x + 9 2/5y + 7

d. 15x + 2/5y + 7

1/3 (5x + 3y) + 2/5y + 7

= 5/3 x + y + 2/5 y + 7

= 5/3 x + 5/5 y + 2/5 y + 7

= 5/3 x + 7/5 y + 7

Answer : b

area of part 1:

a1=base*height/2=(8+2)*(8-2-2-1)/2=10*3/2=15 ft^2

area of part 2:

a2=length*width=(8+2)*1=10 ft2

area of part 3:

a3=length*width=8*2=16 ft2

total shaded area : a1+a2+a3=41 ft2

total area of the reactangle : a=16*8=128 ft2

total area of the nonshaded region : 128-41=87 ft2