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3 years ago

1/4(8x -16)+12x= -2(x +4)

1 answer:

5 0

1/4 x (8x-16) + 12x = -2 (x+4) factor out 4 from the expression 1/4 x 4(2x-4)+12x= -2(x + 4) distribute -2 through the parenthesis -2x-8 reduce the numbers with 4 , 1/4 x (2x - 4) + 12x = -2x-8 remove parenthesis , collect like terms , 14x-4=2x-8 , combine 14x and 2x which is then 16x=-8+4 , calculate the sum of -8+4=4 , then divide both sides by 16 , it will the give you -1/4

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Step-by-step explanation:

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A function f (x)=-8x^2. What is f (-3)?

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3 years ago

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Volunteers helped clean up 8.2 kg of trash in one neighborhood and 11 1/2 kg in another. They sent 1 1/4 kg to be recycled and t

Ivan

Answer: $18.45\ kg$ or $18\frac{9}{20}\ kg$

Step-by-step explanation:

We can convert from mixed numbers to decimal numbers:

$11\frac{1}{2}\ kg=(11+0.5)\ kg=11.5\ kg\\\\1\frac{1}{4}\ kg=(1+0.25)\ kg=1.25\ kg$

Since they cleaned up 8.2 kilograms of trash in one neighborhood and 11.5 kilograms in another neighborhood, the total trash they cleaned up was:

$Total=8.2\ kg+11.5\ kg\\\\Total=19.7\ kg$

We know that they sent 1.25 kilograms to be recycled. Then, in order to calculate how many kilograms of trash they threw away, we must subtract the total kilograms of trash they cleaned up and the kilograms they sent to be recycled.

Then:

$19.7\ kg-1.25\ kg=18.45\ kg$ or $18\frac{9}{20}\ kg$

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3 years ago

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