4(x + 2) = 2 (x – 6)

2 answers:

8 0

Use distributive property
4x + 8 = 2x - 12
Add 12 to both sides
4x + 20 = 2x
Subtract 4x to both sides
20 = -2x
Divide by -2, x = -10
The answer is C. -10

andreev551 [17]3 years ago

6 0

The correct answer for this would be -10

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Step-by-step explanation:

Some rate, let's call it $R_{empty}$ empties the lake in 10 weeks and a river (with rate $R_{river}$ can fill the lake in 20 weeks. The idea behind the solution of this type of problem is always set the rate to the same units. Let's see this:

$R_{empty}=\frac{1\ lake}{10\ weeks}$ which implies that this rate empties 0.1 of the lake per week, thus, $R_{empty}=0.1/week$ .

Using the same idea, we can obtain that the filling rate of the river is:

$R_{river}=\frac{1\ lake}{20\ weeks} = 0.05 /week$

Since both rates are acting at the same time, the total rate of flowing water (either in or out the lake) would be given by:

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