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Vesna [10]
3 years ago
7

Subtract 1/6a + 3 from 1/3a - 5

Mathematics
1 answer:
kipiarov [429]3 years ago
6 0

Answer:

⅙a - 8

Step-by-step explanation:

                                               (⅓a - 5) - (⅙a + 3)

Distributive property:          = ⅓a - 5 - ⅙a - 3

Associative property:          = (⅓a - ⅙a) - 5  - 3  

Simplification:                      = (⅓a - ⅙a) - 8

Distributive property:          = a(⅓ - ⅙) - 8

LCM of denominators:        = a(²/₆ - ⅙) - 8

Subtract numerators:         = a(⅙) -8

Commutative property:      = ⅙a - 8

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First we find the volume of the triangular prism.

We find the area of the triangle, then we multiply that by the height.

So 7*6/2= 42/2=21

21*10= 210

Then if all the dimensions add another foot on to them then you get: 7, 8, and 11.

Then you do the same thing to find the area of this rectangular prism.

7*8/2=56/2=28

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Now, we calculate the growth from 210 to 308 in this proportion: 308/210=x/100

Solving it we get (cross multiplying):

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x=146 2/3 or 146.66 percent increase.

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