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laiz [17]
3 years ago
11

Expand and simplify 6(2x - 3) – 2(2x + 1)

Mathematics
1 answer:
Charra [1.4K]3 years ago
3 0

Answer 8x - 20

Step-by-step explanation:

6(2x - 3) - 2(2x + 1)

Distribute

6(2x) -6( 3) - 2(2x) -2( 1)

12x -18 -4x -2

Combine like terms

12x -4x    -18 -2

8x-20

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A container full of water weighs 15.5 lbs. When ¼ of the water is poured out, the container now weighs 12 ½ lbs. How much does t
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Answer:

3.5 lbs.

Step-by-step explanation:

1/4 of the water is dumped, meaning that is 3 lbs. 1/4 is 3 lbs. 3x4 is 12. 15.5 - 12 = 3

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3 years ago
Two sides of a triangle are two consecutive number, whose area is 17.5cm². Find the numbers
AveGali [126]

Answer:

The numbers associated with the triangle are 5.437 and 6.437 centimeters, respectively.

Step-by-step explanation:

Two numbers are consecutives, when their difference is equal to 1. The area of the triangle is determined by the following formula:

A = \frac{1}{2}\cdot n \cdot (n+1)

A = \frac{1}{2}\cdot (n^{2}+n)

A = \frac{n^{2}}{2}+\frac{n}{2}

n^{2}+n = 2\cdot A

Where n is the shortest length of the triangle, measured in centimeters.

And we get the following second-order polynomial:

n^{2}+n -2\cdot A = 0 (1)

If we know that A = 17.5\,cm^{2}, then the shortest length of the triangle is:

n_{1} = 5.437\,cm and n_{2} \approx -6.437\,cm

Since length is a positive variable, the only possible solution is:

n\approx  5.437\,cm

Then, the numbers associated with the triangle are 5.437 and 6.437 centimeters, respectively.

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3 years ago
George has baked 48 chocolate chip cookies and 64 snickerdoodle cookies
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Answer:

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Step-by-step explanation:

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Step-by-step explanation:

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