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pentagon [3]
3 years ago
13

What is the first step when solving this equation? 5(4x – 1.5x) + 12 = 4x – 2

Mathematics
2 answers:
EleoNora [17]3 years ago
7 0
Complete the equation in the parenthesis, 4x - 1.5x
IRISSAK [1]3 years ago
5 0

Answer:

First step is "Solve the parenthesis". It means subtract 1.5x from 4x.

Step-by-step explanation:

The given equation is

5(4x-1.5x)+12=4x-2

We need to find the first step o solve this equation.

Step 1: Solve the parenthesis.

5(2.5x)+12=4x-2

Step 2: Multiply.

12.5x+12=4x-2

Step 3: Isolate variable terms on left side.

12.5x-4x=-12-2

8.5x=-14

Step 4. Divide both sides by 8.5.

x=\dfrac{-14}{8.5}

x\approx -1.647

Therefore, the firs step is "Solve the parenthesis".

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Answer:

592 hours

Step-by-step explanation:

Given

Area = 11000m^2

Radius = 0.10m/h

Required

Determine the time taken to cover the area

Since, the oil formed a circular pattern; the question will be answered using area of a circle

Area = \pi r^2

Let t represent the time take to cover 11000m²;

The relationship between these parameters is:

11000 = \pi * (0.10t)^2

Substitute 3.14 for π

11000 = 3.14 * (0.10t)^2

Divide both sides by 3.14

\frac{11000}{3.14} = \frac{3.14 * (0.10t)^2}{3.14}

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Take square root of both sides

\sqrt{3503.18471338} = \sqrt{(0.10t)^2}

\sqrt{3503.18471338} = 0.10t

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\frac{59.1877074516}{0.10} = \frac{0.10t}{0.10}

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