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vesna_86 [32]
3 years ago
14

Liam's bottle had 2 and 1/2 cups of juice in it. He drank 1/3 of the juice in his bottle. How many cups of juice did Liam drink.

Mathematics
2 answers:
bekas [8.4K]3 years ago
6 0

liam drank 2/6 cups of juice

Ann [662]3 years ago
6 0

Answer:

Liam drank five sixths of a cup of juice.


Step-by-step explanation:

Here we want (1/3) of (2 1/2 cups); that's how much Liam drank.

Re-writing this, we get:

1         5

----- * ----- = 5/6.

 3       2

Liam drank five sixths of a cup of juice.

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Step-by-step explanation:

Here, the given expression is :

F(x)  = 3x(x- 12x) + 3x^2-2(x-2)^2

Now, let us first solve the given expression step wise:

F(x)  = 3x(x-12x) +3x^2 -2(x-2)^2\\= 3x(-11x) +3x^2 -2(x^2 +4 -4x)\\= -33x^2 + 3x^2 -2x^2 -8+8x\\= -32x^2 +8x - 8\\\implies F(x)  = -32x^2 +8x - 8

Now, here the given statements are:

1. The term -2(x-2)^2 is simplified by first squaring the expression (x – 2).

TRUE

2. The simplified product is a binomial. TRUE

3. After multiplying, the like terms are combined by adding and subtracting.

TRUE

4. The parentheses are eliminated through multiplication.  TRUE

5. The final simplified product is  -28x^2 + 8x - 8 FALSE

As the simplified expression is: (-32x^2 +8x -8)

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