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FinnZ [79.3K]
3 years ago
8

Solve: -7 < 2x+5 < 7

Mathematics
1 answer:
kondor19780726 [428]3 years ago
4 0

Answer:

- 6 < x < 1

Step-by-step explanation:

first things first:

- 7 < 2x  + 5 \\  - 7 - 5 < 2x  + 5 - 5 \\  - 12 < 2x \\  - 6 < x

now:

2x + 5 < 7 \\ 2x + 5 - 5 < 7 - 5 \\ 2x < 2 \\ x < 1

now the intersection is:

- 6 < x < 1

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3 years ago
A rectangle is 5 meters longer than its width. If the length is shortened by 2 meters and width is increased by 1 meter, the are
Katarina [22]

Answer: Area = 6m²

              Smaller number = 16

              Hours = 9.6 h

Step-by-step explanation:

A rectangle is 5 meters longer than its width. If the length is shortened by 2 meters and width is increased by 1 meter, the area remains the same. Find the area of the rectangle.

1) w = x m                                2) w = x + 1 m

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A₁ = A₂

A = w*l

A₁ = x(x+5) = x² + 5x

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2x = 2

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A₁ = x(x+5) = 1.6 = 6 m²

The ratio of two numbers is 2:5. If the larger number is 40, what is the smaller number.

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5     40

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Sixteen construction workers can finish cementing a floor of a building in 3 hours. On a certain day, only 5 construction workers are available for the job. How long will it take the 5 construction workers to do the cementing job?

workers                      hours

    16                              3

     5                               x

↑                                          ↓              inversely proportional

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16      x

5x = 16*3

5x = 48

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3 years ago
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Answer:

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Step-by-step explanation:

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4 0
3 years ago
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Answer:

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Read 2 more answers
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