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3 years ago

Solve for x: |3x + 12| = 18

Mathematics

1 answer:

Alla [95]3 years ago

4 0

Answer:

X = 2 or X = -10

Step-by-step explanation:

We know either3x+12=18or3x+12=−18

3x+12=18(Possibility 1)

3x+12−12=18−12(Subtract 12 from both sides)

3x=6

(Divide both sides by 3)

x=2

3x+12=−18(Possibility 2)

3x+12−12=−18−12(Subtract 12 from both sides)

3x=−30

−30

(Divide both sides by 3)

x=−10

Answer:

x=2 or x=−10

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Material for a dress costs £5.50 per metre. find the cost of 10cm and 70cm

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Answer:

The cost of 10 cm and 70 cm are £0.55 and £3.85 respectively.

Step-by-step explanation:

Material for a dress costs £5.50 per meter.

We know that, 1 meter = 100 cm.

Suppose, the cost of 10 cm material is $x$ and the cost of 70 cm material is $y$

Now, according to the ratio of "cost" to the "length of material" , we will get.......

$\frac{x}{10} =\frac{5.50}{100}\\ \\ 100x=10*5.50=55\\ \\ x=\frac{55}{100}=0.55$

and

$\frac{y}{70} =\frac{5.50}{100}\\ \\ 100y=70*5.50=385\\ \\ x=\frac{385}{100}=3.85$

So, the cost of 10 cm material is £0.55 and the cost of 70 cm material is £3.85

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