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3 years ago

Solve for x. (1/4)(5x−3) > (1/2)x + (1/3)

Mathematics

1 answer:

svet-max [94.6K]3 years ago

6 0

Answer:

x >13/9

Step-by-step explanation:

(1/4)(5x−3) > (1/2)x + (1/3)

Distribute

5/4x - 3/4 > 1/2x + 1/3

Multiply each side by 12 to get rid of fractions

12*5/4x -12* 3/4 >12* 1/2x +12* 1/3

15x -9 > 6x +4

Subtract 6x from each side

15x-6x-9 > 6x-6x+4

9x -9> 4

Add 9 to each side

9x-9+9 > 4+9

9x > 13

Divide by 9

9x/9 >13/9

x >13/9

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VLD [36.1K]

Answer:

<h3>The possibilities of length and width of the rectangle are </h3><h3>x=1, y=0.24;</h3><h3>x=0.5, y=0.48;</h3><h3>x=0.25, y=0.96;</h3><h3>x=2, y=0.12</h3>

Step-by-step explanation:

Given that the area is 0.24 square meter

The area of a rectangle is given by

$Area=length\times width$ square units

Let x be the length and y be the width.

Since the area is 0.24 square meter, we have the equation:

$Area=x\times y = 0.24$ , with x and y measures in meters

If we want to know some possibilities of x and y, we can assume a value for one of them, and then calculate the other one using the equation.

Now choosing some values for "x", we have:

Put x = 1

$1\times y = 0.24$

∴ y = 0.24

Now put x = 0.5 we get

$0.5\times y = 0.24$

∴ y = 0.48

Put x = 0.25

$0.25\times y = 0.24$

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Put x = 2

$2\times y = 0.24$

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