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Vikki [24]
3 years ago
8

a cabinet filled with clothing weighs 27kg. the same cabinet filled with books weighs 132 kg. if the books weigh 8 times what th

e clothing weighs, how much does the cabinet weigh
Mathematics
1 answer:
AlladinOne [14]3 years ago
8 0
The cabinet weights 76 kg
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Answer:

4w + 9

Step-by-step explanation:

Area of rectangle = length x width (or base x height, depending on how you look at it).

It is given to you that:

Area = 8w + 18

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Let: width = x

Plug in the corresponding terms with the corresponding words:

8w + 18 = 2x

Isolate the variable, x. Divide 2 from both sides of the equation:

(8w + 18)/2 = (2x)/2

x = (8w + 18)/2

w = (8w)/2 + (18)/2

w = 4w + 9

4w + 9 is the expression that represents the width of the rectangle.

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allochka39001 [22]

Answer:

We have the system:

x ≤ 7

x ≥ a

Now we want to find the possible values of a such that the system has, at least, one solution.

First, we should look at the value of a where the system has only one solution:

We can write the 2 sets as:

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So, writing both together:

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if a is larger than 7, we do not have solutions.

then a = 7 gives:

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Now, if a is smaller than 7, for example 5, we have:

5 ≤ x ≤ 7

Now x can take different values, so we have a lot of solutions.

Then the restrictions for a, such that the system has at least one solution, is:

a ≤ 7.

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Step-by-step explanation:

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