Please help me with this:

−2( 1/6 a− 3/8 )+ 1/4 (3 1/2 a− 3/5 )

13/24 a   +3/5

Step-by-step explanation:

−2( 1/6 a− 3/8 )+ 1/4 (3 1/2 a− 3/5 )

Distribute

-2/6a +6/8 + 1/4 (3 1/2 a) - 3/20

Change 3/12 to an improper fraction

-1/3 a +3/4 + 1/4(7/2a) -3/20

-1/3a + 3/4 +7/8a -3/20

Now combine like terms

-1/3a + 7/8a     +3/4 -3/20

Get common denominators

-8/24a  + 21/24a    +15/20 -3/20

13/24a  +12/20

Simplify

13/24 a   +3/5

answer: a.

step-by-step explanation: the answer is a. because, you need to converge the fractions to find a solution.

geometry: triangles

solvers

lessons

answers archive

call the larger triangle abc

then the smaller triangle cde is similar to abc (all angles are equal, aaa).  

ab is the side that is 36, and we wish to find de, the side corresponding to ab

area_cde = area_abc - area_cde --> area_abc / area_cde = 2

let x=length of de

ratio of areas = (ratio of sides)^2

+2+=+%2836%2fx%29%5e2+

+2+=+1296%2fx%5e2+

++x%5e2+=+1296%2f2+=+648+

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